An intelligent teaching system?

Imagine the banks were contracted to deliver school teaching…employing their digital assistants

Keith S. Taber

The teacher of the future – imagine the government invited bids to 'deliver' schooling most cost-effectively (only a matter of time?), and the banks undercut schools by proposing to use their existing intelligent technology.
Image by Gerd Altmann from Pixabay

Hi, I'm Rubis, your intelligent science teaching system. I can help with all sorts of everyday science learning queries. Let me know how I can help you today, or try asking me a short, simple question, such as "what is the formula of water?" and I'll be able to help.

Rubis, why is mercury a liquid at room temperature?

I didn't quite catch that, but I'm learning all the time.

Here are some of the top things that I get asked.

What are the three states of matter?
Why are mushrooms not considered plants?
What comes between gamma rays and ultraviolet radiation in the electromagnetic spectrum?
Who invented gravity?
Who was Archimedes' principal?

Rubis, why is mercury a liquid at room temperature?

One moment please, I'm just typing. Please select an option:

The periodic table
The respiratory system
Electrical resistance
Acids
Food webs

I'm trying to find out why mercury is a liquid at room temperature?

Just to check, do you mean:

What is the difference between a moon and a comet?
How dangerous is ascorbic acid?
Why is love like oxygen? 1
How can an acrobat balance on a trapezoid of forces?
When did retroviruses come back into vogue?
None of these

None of these

I can help with all sorts of everyday science learning queries. Try asking me a short, simple question, such as "what are the three ways in which heating occurs" and I'll be able to help.

Science teaching, of course, is a process that requires a well-prepared, highly knowledgeable, teacher who is sensitive to, and responsive to, individual learners whose moods and motivations shift from day to day and who may at any time ask a question that the teacher would never have predicted in advance. That's part of the joy (and challenge) of teaching, which when done well is an interactive process where the teacher has to make myriad real-time, 'on-line', decisions in response to a complex and ever changing context. That is, it requires a good deal of 'intelligence'.

Machine intelligence?

One (questionable) sign of 'progress' in our increasingly digital society is how getting access to costumer service usually involves perusing 'contact us' webpages that are designed to send you initially to fixed pages with answers to to 'FAQs' (frequently asked questions); only then offering 'chat' with an 'intelligent' assistant – which seems programmed to only pass you on to a human once it has recognised you have been sent round the same flow-chart loop more than once.

As I have pointed out before, this would be fine if these 'chat-bots' were actually intelligent (even in the limited sense of a learning machine).

(Read 'Cora and I: Living in two cultures')

My faux 'dialogue' above may seem an unfair parody. (Not a genuine dialogue of course as there was no meeting of minds and taking on board of the other's perspective.)

But if my bank (RBS) were to be given a contract to provide digital teaching services, I imagine it would be just like that. If they could do better, then surely their chat-bot for bank customers would be more useful and less frustrating.

The bank initiated the conversation…

My bank sent me an email suggesting that I would soon no longer be able to make on-line purchases with my debit card unless I used a mobile 'phone (which currently I do not, and am not planning to anytime soon). "As part of new regulations, we'll often ask you to confirm that it's really you who's making the purchase when you use your card to pay for something online. To do this, you'll need to enter a six-digit one-time passcode (OTP) that we'll send to your mobile phone." Of course the message also told me "Please do not reply to this email as the address is not monitored". Hm, so how do I get in touch…

Cora offers "support" and "an instant answer"

Cora, the chat-bot, could make no sense of my inquiry.

Of course no chat-bot (or teacher) could be expected to always respond to any random enquiry. When I was teaching I would not have been able to instantly answer a question from outside my teaching subjects…

"Sir, in what year did Hannibal Lecter cross the Alps with Elephants?" 2

Here, however, I was not raising some obscure topic that the Bank could not have anticipated, as I was RESPONDING to a conversation initiated by the Bank!

Connected with Cora

Perhaps I am being unreasonable?

Hey there. I'm Cora, your digital assistant. Let me know how I can help you today, or select one of the top questions that I am being asked:

Please select an option:

Close an account
Change my details
Order paying in book
Cancel transaction

Cora – 12:00

I choose to let 'her' know how she can help me today:

I have just had an email from the bank, suggesting in future I will need a mobile phone to make online purchases. At the present time I have no need for nor intention of getting a mobile phone.

Keith

I didn't quite catch that, but I'm learning all the time.

Here are some of the top things that I get asked.

Please select an option:

Coronavirus support
Unknown transaction
Cancel transaction
Pending transaction
Change account details
Make a payment

More

Cora – 12:01

More

selected

One moment please, I'm just typing.

Please select an option:

Check a statement
Help logging in
Paying in a cheque
Struggling financially
Check account info
Refunds/Retail disputes
None of the above

Cora – 12:02

None of the above

selected

I can help with all sorts of everyday banking queries. Try asking me a short, simple question, such as "how do I order a new card?" and I'll be able to help.

Cora – 12:02

I have just had an email from the bank, suggesting in future I will need a mobile phone to make online purchases. At the present time I have no need for nor intention of getting a mobile phone. Please explain how I should proceed.

Keith


Please select an option:

Just to check, do you mean:

Benefit Insurance Claim
Manage receipts in app
Check my eligibility
Suspicious email
Remove an account holder
None of these

Cora – 12.03

Just to check?

None of these

selected


I didn't quite catch that, but I'm learning all the time.

Here are some of the top things that I get asked.

Please select an option:

Coronavirus support
Unknown transaction
Cancel transaction
Pending transaction
Change account details
Make a payment

more

Cora – 12.03

more

selected

Please select an option:

Check a statement
Help logging in
Paying in a cheque
Struggling financially
Check account info
Refunds/Retail disputes
None of the above

Cora -12.03

None of the above

Selected

I can help with all sorts of everyday banking queries. Try asking me a short, simple question, such as "how do I order a new card?" and I'll be able to help.

Cora – 12:03

So, basically, Cora can help me as long as I ask a question she has specifically prepared for. I may as well have asked her how come a metal like mercury could be a liquid at room temperature.

Just imagine teachers behaved like that!

Original image by 14995841 from Pixabay
Footnotes:

1 apparently because if you get too much you will get too 'high', but if you do not get enough you will die

"Love is like oxygen
You get too much, you get too high
Not enough and you're gonna die
Love gets you high"

2 This suggests a science joke:

What was the outcome when Hannibal crossed the alps with elephants?

I am not sure, but the offspring would have been infertile.

Resowing the garden in your gut

A faecal transplant is like wild flower seeds in some soil

Keith S. Taber

"Many animals naturally ate each other's poo…as a way of staying healthy" Prof. Tim Spector. (Original image by Debbie De Jager from Pixabay, with apologies to Monty Python)

I was listening to a podcast from 'Science Stories' (BBC Radio 4) about 'Lady Mary Montagu's Smallpox Experiment', where Naomi Alderman described how the aforementioned Lady Mary Wortley Montagu brought the practice of opening veins to introduce some smallpox into the body, as a way of protecting against the deadly disease, back from Turkey to Britain.

An episode in the BBC Radio 4 series 'Science Stories'

Flush or donate?

This was compared with the process of faecal transplantation which was apparently first used in China, and is increasingly being seen as a valuable treatment for some gut disorders. This is the process of ingesting, under carefully controlled conditions, some human faeces – either some of your own carefully preserved (for example, some cancer patients have a sample collected and stored before starting chemotherapy), or from some donor who is willing to offer some of their own. Unlike some other donor procedures (such as kidney donation) this is non-invasive and concerns material most of us just dispose of anyway!

Tim Spector, Professor of Genetic Epidemiology at Kings College, London explained the significance of the gut microbiome, the community of something like 100 trillion microbes that typically occupy a human gut. The importance of these organisms for human health is increasingly being appreciated.

Treating Clostridium difficile infection

Disturbances of the gut microbiome can lead to ill health. One particular example is the condition known as Clostridium difficile infection ('C. diff') – which is commonly experienced in hospitals when patients have extensive courses of antiobiotics – which can sadly kill the useful gut microbes as well those disease-causing organisms being targeted. Clostridium difficile (being itself unaffected by many commonly used antibiotics) can in these circumstances reproduce rapidly and vastly increase its numbers. This is problematic as the organism releases a toxin.

C. diff infection can lead to the sufferer needing to visit the toilet urgently and repeatedly – many times each day. This is not only undesirable in itself, but interferes with getting nutrition from food (if the person has any appetite to eat), and leads to dangerous dehydration – and can have other complications. So, this is a very serious condition, and it is readily transmitted from one person to another.

"C. difficile is an infectious Gram-positive spore-forming bacillus microorganism of the gastrointestinal tract, and its toxin expression causes gastrointestinal illness with a wide spectrum of severity, ranging from mild diarrhea to pseudomembranous colitis, toxic megacolon, sepsis-like picture and death…"

Bien, Palagan & Bozko, 2013: 53

Many people have a low level of Clostridium difficile specimens in their gut normally, but as one small part of the much larger and diverse population of gut microbes – in which context they cause no problems.

"C. difficile does not cause any significant disease when it is present in small numbers. However, disturbance of the normal intestinal flora (dysbiosis) by several potential causative factors may result in unlimited [sic] expansion of C. difficile in the microbiota, leading to inflammation and damage of the gut mucosa…"

Bien, Palagan & Bozko, 2013: 56

Someone who has suffered from C. diff infection needs a way to repopulate their gut with a good range of the usual different microbes. And that is when consuming a sample of a healthy person's excrement can be useful. (This is of course done under medical direction and supervision, both to maintain hygiene and to ensure the donor does not have medical conditions that might be passed on with the sample.)

A teaching analogy for faecal transplantation

This was all explained by Prof. Spector using an analogy.

Analogies are comparisons where a less familiar, and perhaps abstract or counterintuitive, concept is explained in terms of something familiar that can be seen to have a similar conceptual structure (see the figure). Analogies are commonly used in science teaching and public communication of science (as here in a radio programme) to introduce scientific ideas.

(Read about science analogies)

Figure: A teaching analogy to explain why faecal transplantation can be used to treat C. diff (based on the presentation by Prof. Tim Spector in 'Lady Mary Montagu's Smallpox Experiment')

How does your garden grow?

Prof. Spector developed a comparison between the different microbes found in the gut, and the plants growing in a garden:

"These nasty infections are the most extreme, if you like, that pretty much wipe out most of our normal species. So … we might, say, start with a thousand species and people [with C. diff] might be down to just ten or so, different ones and so nasty ones take over. It's a bit like a garden that has gone very badly wrong and you have put too much herbicide all over it and it looks like an Arizona back yard with a few burning tyres in it. It's very easy for things to take over that and what we want to get, is by putting these bugs in there, to create a really healthy garden that gets back to normal that looks like a nice English country garden with lots of blooms, and really good soil, and lots of plants interacting with each other, and that's the way to think about these microbes, but to do that, to get to this nice rosy picture of a country garden you have to go through yucky stages first"

Prof. Tim Spector – From 'Lady Mary Montagu's Smallpox Experiment'
Before and after faecal transplantation: a medical treatment that can transform your 'garden'? (Images by Simon (left) and  Prawny (right) from Pixabay)
[Move the slider to change between the pictures].

So the idea of taking a sample of someone else's excrement into our own gut may seem "yukky" – and is definitely NOT recommended without proper procedures and supervision – but may sometimes be a sensible and beneficial medical treatment. Just think of it as resewing the garden of the gut with a nice selection of seeds that will give rise to a diverse selection of colourful blooms.

Naomi Alderman: Instead of poo, we could think to ourselves, 'wild flower seeds'

Tim Spector: It's wild flower seeds with a bit of soil in it as well, so they have come in their own pot [sic] if you like.

From 'Lady Mary Montagu's Smallpox Experiment'
'wild flower seeds with a bit of soil…in their own pot'? (Images by OpenClipart-Vectors from Pixabay)
Work cited:
  • Bien, J., Palagani, V., & Bozko, P. (2013). The intestinal microbiota dysbiosis and Clostridium difficile infection: is there a relationship with inflammatory bowel disease? Therapeutic advances in gastroenterology, 6(1), 53-68. doi:10.1177/1756283X12454590 https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3539291/

Balding black holes – a shaggy dog story

Resurrecting an analogy from a dead metaphor?

Keith S. Taber

Now there's a look in your eyes, like black holes in the sky…(Image by Garik Barseghyan from Pixabay)

I was intrigued by an analogy in a tweet

Like a shaggy dog in springtime, some black holes have to shed their "hair."

The link led me to an item at a webpage at 'Science News' entitled 'Black holes born with magnetic fields quickly shed them' written by Emily Conover. This, in turn, referred to an article in Physical Review Letters.

Now Physical Review Letters is a high status, peer-reviewed, journal.

(Read about peer review)

As part of the primary scientific literature, it publishes articles written by specialist scientists in a technical language intended to be understood by other specialists. Dense scientific terminology is not used to deliberately exclude general readers (as sometimes suggested), but is necessary for scientists to make a convincing case for new knowledge claims that seem persuasive to other specialists. This requires being precise, using unambiguous technical language."The thingamajig kind of, er, attaches to the erm, floppy bit, sort of" would not do the job.

(Read about research writing)

Science News however is news media – it publishes journalism (indeed, 'since 1921' the site reports – although that's the publication and not its website of course.) While science journalism is not essential to the internal processes of science (which rely on researchers engaging with each other's work though  scholarly critique and dialogue) it is very important for the public's engagement with science, and for the accountability of researchers to the wider community.

Science journalists have a job similar to science teachers – to communicate abstract ideas in a way that makes sense to their audience. So, they need to interpret research and explain it in ways that non-specialists can understand.

The news article told me

"Like a shaggy dog in springtime, some black holes have to shed…
Unlike dogs with their varied fur coats, isolated black holes are mostly identical. They are characterized by only their mass, spin and electric charge. According to a rule known as the no-hair theorem, any other distinguishing characteristics, or "hair," are quickly cast off. That includes magnetic fields."

Conover, 2013

Here there is clearly the use of an analogy – as a black hole is not the kind of thing that has actual hair. This would seem to be an example of a journalist creating an analogy (just as a science teacher would) to help 'make the unfamiliar familiar' to her readers:

just as

dogs with lots of hair need to shed some ready for the warmer weather (a reference to a familiar everyday situation)

so, too, do

black holes (no so familiar to most people) need to lose their hair

(Read about making the unfamiliar familiar)

But hair?

Surely a better analogy would be along the lines that just as dogs with lots of hair need to shed some ready for the warmer weather, so to do black holes need to lose their magnetic fields

An analogy is used to show a novel conceptual structure (here, relating to magnetic fields around black holes) maps onto a more familiar, or more readily appreciated, one (here, that a shaggy dog will shed some of its fur). A teaching analogy may not reflect a deep parallel between two systems, as its function may be just to introduce an abstract principle.

(Read about science analogies)

Why talk of black holes having 'hair'?

Conover did not invent the 'hair' reference for her ScienceNews piece – rather she built her analogy on  a term used by the scientists themselves. Indeed, the title of the cited research journal article was "Magnetic Hair and Reconnection in Black Hole Magnetospheres", and it was a study exploring the consequences of the "no-hair theorem" – as the authors explained in their abstract:

"The no-hair theorem of general relativity states that isolated black holes are characterized [completely described] by three parameters: mass, spin, and charge."

Bransgrove, Ripperda & Philippov, 2021

However, some black holes "are born with magnetic fields" or may "acquire magnetic flux later in life", in which case the fields will vary between black holes (giving an additional parameter for distinguishing them). The theory suggests that these black holes should somehow lose any such field: that is, "The fate of the magnetic flux (hair) on the event horizon should be in accordance with the no-hair theorem of general relativity" (Bransgrove, Ripperda & Philippov, 2021: 1). There would have to be a mechanism by which this occurs (as energy will be conserved, even when dealing with black holes).

So, the study was designed to explore whether such black holes would indeed lose their 'hair'.  Despite the use of this accessible comparison (magnetic flux as 'hair'), the text of the paper is pretty heavy going for someone not familiar with that area of science:

"stationary, asymptotically flat BH spacetimes…multipole component l of a magnetic field…self-regulated plasma…electron-positron discharges…nonzero stress-energy tensor…instability…plasmoids…reconnection layer…relativistic velocities…highly magnetized collisionless plasma…Lundquist number regime…Kerr-schild coordinates…dimensionless BH spin…ergosphere volume…spatial hypersurfaces…[…and so it continues]"

(Bransgrove, Ripperda & Philippov, 2021: 1).

"Come on Harry, you know full well that 'the characteristic minimum plasma density required to support the rotating magnetosphere is the Goldreich-Julian number density' [Bransgrove, Ripperda & Philippov, 2021: 2], so hand me that hyperspanner."
Image from Star Trek: Voyager (Paramount Pictures)

Spoiler alert

I do not think I will spoil anything by revealing that Bransgrove and colleague conclude from their work that "the no-hair theorem holds": that there is a 'balding process' – the magnetic field decays ("all components of the stress-energy tensor decay exponentially in time"). If any one reading this is wondering how they did this work, given that  most laboratory stores do not keep black holes in stock to issue to researchers on request, it is worth noting the study was based on a computer simulation.

That may seem to be rather underwhelming as the researchers are just reporting what happens in a computer model, but a lot of cutting-edge science is done that way. Moreover, their simulations produced predictions of how the collapsing magnetic fields of real black holes might actually be detected in terms of the kinds of radiation that should be produced.

As the news item explained matters:

Magnetic reconnection in balding black holes could spew X-rays that astronomers could detect. So scientists may one day glimpse a black hole losing its hair.

Conover, 2013

So, we have hairy black holes that go through a balding process when they lose their hair – which can be tested in principle because they will be spewing radiation.

Balding is to hair, as…

Here we have an example of an analogy for a scientific concept. Analogies compare one phenomenon or concept to another which is considered to have some structural similarity (as in the figure above). When used in teaching and science communication such analogies offer one way to make the unfamiliar familiar, by showing how the unfamiliar system maps in some sense onto a more familiar one.

hair = magnetic field

balding = shedding the magnetic field

Black holes are expected to be, or at least to become, 'hairless' – so without having magnetic fields detectable from outside the event horizon (the 'surface' connecting points beyond which everything, even light, is unable to 'escape' the gravitational field and leave the black hole). If black holes are formed with, or acquire, such magnetic fields, then there is expected to be a 'balding' process. This study explored how this might work in certain types of (simulated) black holes – as magnetic field lines (that initially cross the event horizon) break apart and reconnect. (Note that in this description the magnetic field lines – imaginary lines invented by Michael Faraday as a mental tool to think about and visualise magnetic fields – are treated as though they are real objects!)

Some such comparisons are deliberately intended to help scientists explain their ideas to the public – but scientists also use such tactics to communicate to each other (sometimes in frivolous or humorous ways) and in these cases such expressions may do useful work as short-hand expressions.

So, in this context hair denotes anything that can be detected and measured from outside a black hole apart form its mass, spin, and charge (see, it is much easier to say 'hair')- such as magnetic flux density if there is a magnetic field emerging from the black hole.

A dead metaphor?

In the research paper, Bransgrove, Ripperda and Philippov do not use the 'hair' comparison as an analogy to explain ideas about black holes. Rather they take the already well-established no-hair theorem as given background to their study ("The original no-hair conjecture states that…"), and simply explain their work in relation to it  ("The fate of the magnetic flux (hair) on the event horizon should be in accordance with the no-hair theorem of general relativity.")

Whereas an analogy uses an explicit comparison (this is like that because…), a comparison that is not explained is best seen as a metaphor. A metaphor has 'hidden meaning'. Unlike in an analogy, the meaning is only implied.

  • "The no-hair theorem of general relativity states that isolated black holes are characterized by three parameters: mass, spin, and charge";
  • "The original no-hair conjecture states that all stationary, asymptotically flat BH [black hole] spacetimes should be completely described by the mass, angular momentum, and electric charge"

(Read adbout science metaphors)

Bransgrove and colleagues do not need to explain why they use the term 'hair' in their research report as in their community it has become an accepted expression where researchers already know what it is intended to mean. We might consider it a dead metaphor, an expression which was originally used to imply meaning through some kind of comparison, but which through habitual use has taken on literal meaning.

Science has lots of these dead metaphors – terms like electrical charge and electron spin have with repeated use over time earned their meanings without now needing recourse to their origins as metaphors. This can cause confusion as, for example, a learner may  develop alternative conceptions about electron spin if they do not appreciate its origin as a metaphor, and assumes an electron spins in the same sense as as spinning top or the earth in space. Then there is an associative learning impediment as the learner assumes an electron is spinning on its axis because of the learner's (perfectly reasonable) associations for the word 'spin'.

The journalist or 'science writer' (such as Emily Conover), however, is writing for a non-specialist readership, so does need to explain the 'hair' reference.  So, I would characterise the same use of the terms hair/no-hair and balding as comprising a science analogy in the news item, but a dead metaphor in the context of the research paper. The meaning of language, after all, is in the mind of the reader.

Work cited:

Excavating a cognitive dinosaur

Keith S. Taber

Filling-in; and digging-out a teaching analogy

Is the work of cognition like the work of a palaeontologist? (Image by Brenda Geisse from Pixabay)

I like the reflexive nature of this account – of someone reconstructing an analogy

about how cognition reconstructs coherent wholes from partial, fragmented data

from a partial, fragmented memory representation.

I was reading something about memory function that piqued my interest in an analogy:

"Neisser, using an analogy initially developed by Hebb (1949) to characterize [sic] perception, likened the rememberer to a paleontologist who attempts to reconstruct a dinosaur from fragmentary remains: 'out of a few stored bone chips, we remember a dinosaur'…"

Schacter, 1995, p.10

I was interested enough to look up the original use of this analogy (as I report below).

This links to three things that have separately interested me:

  • the nature of memory
  • the constructivist account of learning and cognition
  • using analogies in teaching and comunicating science

The nature of our memories

I have long been interested in what memory is and how it works – and its role in academic learning (Taber,  2003). In part this perhaps derives from the limits of my own memory – I have been reasonably successful academically, but have never felt I had a good memory (and I seem to get more 'absent minded' all the time). This interest grew as it became clearer to me that our memory experiences seem to be quite different – my late wife Philippa would automatically and effortlessly remember things  in a way that that seemed to me to be a kind of superpower. (She was once genuinely surprised that I could not picture what a family member had been wearing on arriving at a family event years before, whereas I thought I was doing pretty well to even remember I had been there.) Now that neurodiversity is widely recognised, it seems less surprising that we do not all experience memory in the same way.

A lot of people, however, understand memory in terms of a kind of folk-model (that is, a popular everyday account which does not match current scientific understanding) – along the lines that we put information into a memory store, where – unless it gets lost and we forget – we can later access it and so remember what it was that we committed to memory. Despite the ubiquity of that notion, research suggests that is not really how memory functions. We might say that this is a common alternative conception of how memory works.

(Read about 'Memory')

The constructive nature of memory

Schacter was referring back to a tradition that began a century ago when Bartlett carried out a series of studies on memory. Bartlett (1932/1995) would, for example, expose people to a story that was unfamiliar to his study participants, and then later ask them to retell as much of the story as they could remember. As might be expected, some people remembered more details than others.

What perhaps was less predictable at the time was the extent to which people included in their retelling details that had not been part of the original story at all. These people were not deliberately embellishing or knowingly guessing, but reporting, as best they could, what their memory suggested had been part of the original story.

People who habitually exhibit this 'confabulation' to an pathological degree (perhaps remembering totally fantastic things that clearly could not be true) are recognised as having some kind of problem, but it transpires this is just an extreme of something that is normal behavior. Remembering is not the 'pulling something out of storage' that we may experience it as – as actually what we remember is more like a best guess based on insufficient data (but a guess made preconsciously, so it appears in our conscious minds as definitive) than a pristine copy of an original experience. Memory is often more a matter of constructing an account from the materials at hand than simply reading it out from something stored.

Thus the analogy. Here is some wider context for the quote presented above:

"The publication of Neisser's (1967) important monograph on cognitive psychology rekindled interest in Bartlett's ideas about schemas and reconstructive memory. According to Neisser, remembering the past is not a simple matter of reawakening a dormant engram or memory trace; past events are constructed by using preexisting knowledge and [schemata] to piece together whatever fragmentary remains of the initial episode are available in memory. Neisser, using an analogy initially developed by Hebb (1949) to characterize [sic] perception, likened the rememberer to a paleontologist who attempts to reconstruct a dinosaur from fragmentary remains: 'out of a few stored bone chips, we remember a dinosaur' (1967, p.285). In this view, all memories are constructions because they include general knowledge that was not part of a specific event, but is necessary to reconstruct it. The fundamentally constructive nature of memory in turn makes it susceptible to various kinds of distortions and inaccuracies. Not surprisingly, Neisser embraced Bartlett's observations and ideas about the nature of memory."

Schacter, 1995, p.10

These ideas will not seem strange to those who have studied science education, a field which has been strongly influenced by a 'constructivist' perspective on learning. Drawing on learning science research, the constructivist perspective focuses on how each learner has to build up their own knowledge incrementally: it is not possible for a teacher to take some complex technical knowledge and simply transfer it (or copy it) to a learner's mind wholesale.

(Read more about constructivism in education)

Excavating the analogy: what did Hebb actually say?

Hebb is remembered for his work on understanding the brain in terms of neural structures – neurons connected into assemblies through synapses.  His book 'The Organization of Behavior' has been described as "one of the most influential books in Psychology and Neuroscience" (Brown, 2020: 1).

Tachistoscope Source: Science Museum Group (This image is released under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence)

The analogy referred to by Schacter was used by Hebb in describing perception. He discussed studies using a tachistoscope, an instrument for displaying images for very brief periods. This could be used to show an image to a person with an exposure insufficient for them to take in all the details,

"…the pattern is perceived, first, as a familiar one, and then with something missing or something added. The something, also, is familiar; so the total perception is a mélange of the habitual.

The subject's reports [make it] clear that the subject is not only responding to the diagram as a whole; he perceives its parts as separate entities, even though presentation is so brief. Errors are prominent, and such as to show that all the subject really perceives–and then only with rough accuracy–is the slope of a few lines and their direction and distance from one another"

Hebb, 1949: pp.46-47

That is, the cognitive system uses the 'clues' available from the incomplete visual data to build  (in effect) a hypothesis of what was seen, based on correspondences between the data actually available and familiar images that match that limited data. What the person becomes consciously aware of 'seeing' is not actually a direct report from the visual field of the presented image, but a constructed image that is a kind of conjecture of what might have been seen – 'filling-in' missing data with what seems most likely based on past visual experiences.

Cognitive scientist Annette Karmiloff-Smith developed the concept of 'representational redescription' as a way of describing how initially tacit knowledge could eventually become explicit. She suggested that "intra-domain and inter-domain representational relations are the hallmark of a flexible and creative cognitive system" (Karmiloff-Smith,1996: 192). The gist was that the brain is able to re-represent its own internal representations in new forms with different affordances.

An loose analogy might be someone who takes a screenshot when displaying an image from the JPEG photo collection folder on the computer, opens the screenshot as a pdf file, and then adds some textual annotations before exporting the file to a new pdf. The representation of the original image is unchanged in the system, but a new representation has been made of it in a different form, which has then been modified and 'stored' (represented) in a different folder.

Hebb was describing how a representation of visual data at one level in the cognitive system has been represented elsewhere in the system (representational redescription?) at a level where it can be mentipulated by 'filling-in'.

Hebb then goes on to use the analogy:

"A drawing or a report of what is seen tachistoscopically is not unlike a paleontologist's reconstruction of early man from a tooth and a rib. There is a clear effect of earlier experience, filling in gaps in the actual perception, so that the end result is either something familiar or a combination of familiar things–a reconstruction on the basis of experience."

Hebb, 1949: p.47

Teaching analogies

Hebb was writing a book that can be considered as a textbook, so this can be seen as a teaching analogy, although such analogies are also used in communicating science in other contexts.

(Read about Science analogies)

Teaching is about making the unfamiliar familiar, and one way we do that is by saying that 'this unfamiliar thing you need to learn about is a bit like this other thing that you already know about'. Of course, when teaching in this way we need to say in what way there is an analogy, and it may also be important to say in what ways the two things are not alike if we do not want people to map across irrelevant elements (i.e., to develop 'associative' learning impediments).

(Read about Making the unfamiliar familiar)

Hebb is saying that visual perception is often not simply the detection of a coherent and integral image, but is rather a construction produced by building upon the available data to construct a coherent and integral image. In extremis, a good deal may be made of very little scraps of input – akin to a scientist reconstructing a model of a full humanoid body based on a couple of bits of bone or tooth.

Hebb's analogy

There are examples where palaeontologists or anthropologists have indeed suggested such complete forms based on a few fossil fragments as data. This is only possible because of their past experiences of meeting many complete forms, and the parts of which they are made. (And of course, sometimes other scientists completely disagree about their reconstructions!)

An exscientific analogy?

Often in teaching science we use teaching analogies that compare an unfamiliar scientific concept to some familiar everyday phenomenon – perhaps a reaction profile is a bit like a roller-coaster track. Perhaps we could call these adscientific analogies as the meaning is transferred to the scientific concept from the everyday.

Sometimes, however, familiar scientific phenomena or ideas are used as the source – as here. Perhaps these could be called exscientific analogies as the meaning is taken from the science concept and applied elsewhere.

Developing the palaeontology analogy

So, Hebb had originally used the palaeontology analogy in the context of discussing perception. When I looked into how Neisser had used the comparison in his "important monograph on cognitive psychology" I found he had developed the analogy, returning to it at several points in his book.

Do we analyse what we attend to?

Neisser's first reference was also in relation to perception, rather than memory. Neisser argued that before we can attend to part of a scene there must already have been the operation of "preattentive mechanisms, which form segregated objects"  from which we can select what to attend to. These processes might be referred to as analyses:

"…the detailed properties and features that we ordinarily see in an attended figure…arise…only because part of the input was selected for attention and certain operations then performed on it. Neither the object of analysis nor the nature of the analysis is inevitable, and both may vary in different observers and at different times."

Neisser, 1967, p.94

But Neisser was not sure this really was 'analysis', which he understood as drawing on another (what I labelled above) exscientific analogy:

"The very word 'analysis' may not be apt. It suggests an analogy with chemistry: a chemist 'analyses' unknown substances to find out what they 'really' are."

Neisser, 1967, p.94

Rather than refer to analysis, we could draw on  Hebb's palaeontological analogy:

"More appropriate…is Hebb's (1949, p.47) comparison of the perceiver with a paleontologist, who carefully extracts a few fragments of what might be bones from a mass of irrelevant rubble and 'reconstructs' the dinosaur that will eventually stand in the Museum of Natural History. In this sense it is important to think of focal attention as a constructive, synthetic activity rather than as purely analytic. One does not simply examine the input and make a decision; one builds an appropriate visual object."

Neisser, 1967, p.94

[If it helps to have some examples to reflect upon this account of perception, you may find it useful to look at some images that may require careful interpretation.]

Neisser draws upon the analogy repeatedly in developing his account of perception:

"Such emotion-flooded experiences [as 'physiognomic' perception: 'Everyone has perceived such traits as suppressed anger in a face, gaiety in a movement, or peaceful harmony in a picture'] can be thought of as the result of particular kinds of construction. The same fragments of bone that lead one paleontologist to make an accurate model of an unspectacular creature might lead another, perhaps more anxious or more dramatic, to 'reconstruct' a nightmarish monster." (pp.96-97)

"To 'direct attention' to a figure is to attempt a more extensive synthesis of it. Of course, synthesis presupposes some prior analysis, as the paleontologist must have some fragments of bone before he can build his dinosaur…" (p.103)

"Recognition, whether of spelling patterns or words as wholes, must be mediated by relevant features, as meaningless in themselves as the bone chips of the paleontologist." (p.114)

"The process of figural synthesis does not depend only on the features extracted from the input, just as the dinosaur constructed by a paleontologist is not based only on the bone chips he has found. Equally important is the kind of perceptual object the perceiver is prepared to construct. The importance of set and context on the perception of words has been demonstrated in a great many experiments." (pp.115-116)

Neisser, 1967

And as with perception, so memory…

When Neisser discusses memory he uses a kind of double analogy – suggesting that memory is a bit like perception, which (as already established) is a bit like the work of the palaeontologist:

"Perception is constructive, but the input information often plays the largest single role in determining the constructive process. A very similar role, it seems to me, is played by the aggregate of information stored in long-term memory.

This is not to say that the stimuli themselves are copied and stored; far from it. The analogy being offered asserts only that the role which stored information plays in recall is like the role which stimulus information plays in perception….The model of the paleontologist, which was applied to perception and focal attention in Chapter 4, applies also to memory: out of a few stored bone chips, we remember a dinosaur….one does not recall objects or responses simply because traces of them exist in the mind, but after an elaborate process of reconstruction, (which usually makes use of relevant stored information).

What is the information – the bone chips – on which reconstruction is based? The only plausible possibility is that it consists of traces of prior processes of construction. There are no stored copies of finished mental events, like images or sentences, but only traces of earlier constructive activity."

Neisser, 1967, p.285
Fleshing-out the metaphor

Neisser then pushes the analogy one step further, by pointing out that the 'fleshed-out' model of a dinosaur in the museum may be constructed in part based on the fossil fragments of bones, but those fragments themselves do not form part of the construction (the model). The bones are used as referents in building the skeletal framework (literally, the skeleton) around which the model will be built, but the model is made from other materials (wood, steel, fibreglass, whatever) and the fossil fragments themselves will be displayed separately or perhaps filed away in a drawer in the museum archives. (As in the representational redescription model – the original representation is redescribed at another level of the system.)

"The present proposal is, therefore, that we store traces of earlier cognitive acts, not of the products of those acts. The traces are not simply 'revised' or 'reactivated' in recall; instead, the stored fragments are used as information to support a new construction. It is as if the bone fragments used by the paleontologist did not appear in the model he builds at all – as indeed they need not, if it to represent a fully fleshed-out skin-covered dinosaur. The bones can be thought of, somewhat loosely, as remnants of the structure which created and supported the original dinosaur, and thus as sources of information about how to reconstruct it."

Neisser, 1967, pp.285-286

Neisser's development of Hebb's analogy

The head palaeontologist?

A final reference to the analogy is used when Neisser addresses the question of the cognitive executive: the notion that somewhere in the cognitive system there is something akin to an overseer who direct operations:

"Who does the turning, the trying, and the erring" Is there a little man in the head, a homonculus, who acts the part of the paleontologist vis-à-vis the dinosaur? p.293

Neisser, 1967, p.293

The homonculus can be pictured as a small person sitting in the brain's control room, for example, viewing the images being projected from the visual input.

It is usually considered this is a flawed model (potentially lading to an infinite regress), a failure to take a systemic view of the cognitive system. It is the system which functions and leads to our conscious experience of perceiving, attending, making decisions, planning, remembering, and so forth. Whilst there are specialist components (modules) including for the coordination of the system, there is not a discrete controller overlaying the system as a whole who is doing the seeing, hearing, thinking, etcetera based on outputs from processing by the system.

Here the homonculus would like an authority that the palaeontologist turned to in order to decide how to build her model: raising the question of how does that expert know, and who would they, in turn, ask?

Why change Hebb's orignal analogy?

Altohugh Neisser refers to the analogy as being that used by Hebb, he modifies it. A tooth and rib become fragments of bone, and the early man becomes a dinosaur. Whether the shift from the reconstruction of an early hominid to the reconstruction of a terrible lizard was a deliberate one (for greater effect? because Neisser thought it would be more familiar to his readers?) or not I do not know. The phrasing suggests that Neisser thought he was applying Hebb's original comparison – so I suspect this is how he recalled the analogy.

Perhaps Neisser had regularly used the analogy in his teaching, in which case it may have become so familiar to him that he did not feel the need to check the original version. That is, perhaps he was correctly remembering how he had previously misremembered the original analogy. That is not fanciful, as memory researchers suggest this is something that is very common. Each time we access a memory the wider representational context becomes modified by engagement with it.

That is, if what is represented (in 'long-term memory'*) is indeed "traces of prior processes of construction…traces of earlier constructive activity" then each time a 'memory' is experienced, by being constructed based on what is represented ('in memory'*), new traces of that process of constructing the memory are left in the system.

It is possible over the years to be very convinced about the accuracy of a distorted memory that has been regularly reinforced. (The extent to which this may in part be the origin of many wars, feuds, and divorces might be a useful focus for research?)

So perhaps Neisser had represented in his long-term memory the analogy of a palaeontologist with a few fossil fragments, and when he sought to access the analogy, perhaps in a classroom presentation, the other elements were filled-in: the 'tooth and rib' became 'a few fragments of what might be bones' and the 'early man' become 'a dinosaur' – details that made sense of the analogy in terms familiar to Neisser.

The account of cognition that Hebb, Neisser and Schater were presenting would suggest that if this had been the case then for Neisser there would be no apparent distinction between the parts of Hebb's analogy that Neisser was remembering accurately, and the parts his preconscious mind had filled-in to construct a coherent analogy. I like the reflexive nature of this account – of someone reconstructing an analogy about how cognition reconstructs coherent wholes from partial, fragmented data – from a partial, fragmented memory representation.

 Sources cited:
  • Bartlett, F. C. (1932/1995). Remembering: A study in experimental and social psychology Cambridge: Cambridge University Press.
  • Brown, R. E. (2020). Donald O. Hebb and the Organization of Behavior: 17 years in the writing. Molecular Brain, 13(1), 55. doi:10.1186/s13041-020-00567-8
  • Hebb, D. O. (1949). The Organisation of Behaviour. A neuropsychological theory. New York: John Wiley & Sons, Inc.
  • Karmiloff-Smith, A. (1996). Beyond Modularity: A developmental perspective on cognitive science. Cambridge, Massachusetts: MIT Press.
  • Neisser, U. (1967). Cognitive Psychology. New York: Appleton-Century-Crofts.
  • Schacter, D. L. (1995). Memory distortion: history and current status. In D. L. Schacter (Ed.), Memory Distortion. How minds, brains, and societies reconstruct the past (pp. 1-43). Cambridge, Massachusetts: Harvard University Press.
  • Taber, K. S. (2003) Lost without trace or not brought to mind? – a case study of remembering and forgetting of college science, Chemistry Education: Research and Practice, 4 (3), pp.249-277. [Free access]

* terms like 'in memory' and 'in long-term memory' may bring to mind the folk-notion of memory as somewhere in the brain where things are stored away, whereas it is probably better to think of the brain as a somewhat plastic processing system which is constantly being modified by its own functioning. The memory we experience is simply the outcome of active processing** in part of the system that has previously been modified by earlier mental activity (** active processing which is in turn itself further modifying the system).

Elements as chemical seasoning?

Keith S. Taber

An analogy for the importance of trace elements

Unseen minerals all around us (Ockham's Razor – ABC)

I was listening to a recent episode of 'Ockhams' razor' (ABC's series of short science and technology essays) from 2020 called 'Unseen minerals all around us'. As a radio programme, the audience was likely to be diverse in terms of age, interests, and background knowledge and experiences.

The speaker was Allison Britt, Director of Mineral Resources Advice and Promotion, Geoscience Australia ("Australia's pre-eminent public sector geoscience organisation"), and she was describing the large number of elements used in constructing a modern mobile phone – apparently someone had put a phone in a laboratory blender and analysed the smoothie produced! (Please note: that is not a safe activity for a home science practical.)

Allison Britt, Director of Mineral Resources Advice & Promotion, Geoscience Australia – at a live recording of 'Okham's razor'. (Source: Twitter)

As a science teacher (well, retired – but once a science teacher, always a science teacher at heart at least) I tend to be primed to focus on the ways in which teachers and scientists 'make the unfamiliar familiar', and Britt used an analogy with multiple targets.

(Read about 'making the unfamiliar, familiar')

(Read about science analogies)

The source domain was something familiar from everyday life – seasoning food.

I thought this worked really well, although as a purist (and, as noted here before, something of a pedant) I would have liked the third of her comparisons to refer to a difference that was a matter of degree (e.g., 'taste better' cf. 'work more efficiently'). That said, Britt's formulation worked better as scientific poetry:

So, just like adding salt and pepper to a meal makes it taste better:

putting a little rhenium in a jet engine makes it burn faster and hotter;

putting a little scandium in an aeroplane makes it lighter and stronger;

and putting a little indium in your mobile phone makes the touchscreen work.

Britt, 2021

This was an example of a science communicator making the point of how adding a small, sometimes trace, quantity of a substance can make a substantive difference to properties. I imagine that virtually everyone listening to this would have effortlessly understood the comparison – a key criterion for an effective teaching analogy.

Scientific errors in the English National Curriculum

Keith S. Taber

I am writing this open letter to the Institute of Physics and the Royal Society of Chemistry to request that as Learned Societies with some influence with government (perhaps limited, but certainly vastly more than an academic) the Societies might ask the Department for Education to correct two basic errors of science in the National Curriculum for England which is set out as the basis for teaching school age learerns and for developing public examinations specifications and papers.
The two errors relate to (a) the misuse of scientific terminology (the word substance) and (b) a failure of logic (in a reference to conservation of energy). As you will no doubt be aware, the original published version of this iteration of the programmes of study for science in the English National Curriculum included some basic errors (incorrect physics formulae) that received wide publicity and which were quickly amended. Despite some other issues also getting early attention, these other problems have never been addressed. One more complex issue that I strongly feel deserves addressing, but which would would require considerable redrafting, is the confused and incoherent treatment of the nature of chemical reactions across the secondary phase (Key Stages 3 and 4). I have raised these issues at various times, and have published a scholarly analysis of these problems .Whilst I obviously did not expect an article in an academic journal to directly impact policy, I thought this could be a 'springboard' to then approach government. I have contacted the relevant ministers (the Rt Hon Gavin Williamson CBE MP, Secretary of State for Education and the Rt Hon Nick Gibb MP, Minister of State for School Standards), and in response to instructions to refer this issue to the Department for Education website, I did so. My comments have been noted, but I was informed
"there are no current plans to review the curriculum".
Whilst I accept that any detailed re-working of the curriculum is not imminent, I do think the Department could still instigate minor corrections to errors which are published on the government's website, and then consequently repeated by the examination authorities, the examination boards and even individual school websites. Correcting these (surely, embarrassing) errors would require very little effort. The first error I refer to is the incorrect use of the term 'substance'. In science, the term substance has a fairly specific meaning. Although, as with many science concepts, there may be some discussion over precise definitions and demarcations, there is general agreement at the level at which the term would be used in introductory science at school level. In the primary stages of the English National Curriculum for Science we read that Y5 learners should be
"taught to…explain that some changes result in the formation of new materials [sic], and that this kind of change is not usually reversible, including changes associated with burning and the action of acid on bicarbonate of soda".
A better term here would be 'substances', not 'materials' (although this is more a mater of the wording being imprecise than incorrect). However in relation to Y4 learners there is a reference to
"exploring the effect of temperature on substances [sic] such as chocolate, butter, cream"
none of which are substances as the word is used in science.This is a misuse of the term 'substance'. So whereas in secondary school, learners are taught to distinguish the meanings of 'material' and the more specific 'substance', it seems these terms are being used interchangeably in the National Curriculum specification itself. The other issue relates to the statement (in the Key Stage 4 specification) that
"energy is conserved in chemical reactions so can therefore be neither created nor destroyed".
To my reading this suggests a blatant error of logic, which I can only assume does not reflect scientific ignorance by the person drafting the document – but more likely is a typographic error that has never been corrected. Conservation of energy is a general (universal) principle, and its more specific application to chemical reactions as one class of changes is then subsumed under that principle. I have long assumed that what had been intended (but mistyped) was either "energy is conserved in chemical reactions BECAUSE it can be neither created nor destroyed" or "energy CAN be neither created nor destroyed SO THEREFORE is conserved in chemical reactions" – that is, the logic has been completely reversed in the curriculum document. I have recently realised that there is a third possibility: that this statement is not meant as an explanation (of energy conservation in reactions under a more general principle) but as a definition, along the lines "energy is conserved in chemical reactions WHICH MEANS THAT IT CAN be neither created nor destroyed". Whatever was meant, the current wording implies a logical non sequitur, and should, surely, be corrected. I would hope you might agree that these kinds of errors should not be included in what teachers are asked to teach, students to learn, and examining boards to assess; and that when a suitable opportunity arrises you might make appropriate representations regarding the desirability of corrections being made. Your sincerely, Dr Keith S.Taber Emeritus Professor of Science Education (I have had constructive replies from both the RSC and IoP)

COVID is like a fire because…

Keith S. Taber

Dampening down COVID? (Image by Iván Tamás from Pixabay)

Analogy in science

Analogy is a common technique used in science and science education. In scientific work analogy may be used as a thinking tool useful for generating hypotheses to explore – "what if X is like Y, then that might mean…". That is, we think we understand system Y, so, if for a moment we imagine that system X may be similar, then by analogy that would mean (for example) that A may be the cause of B, or that if we increase C then we might expect D to decrease… Suggesting analogies has been used as a way of introducing a creative activity into school science (Taber, 2016).

Read about analogies in science

Scientists also sometimes use analogies to explain their ideas and results to other scientists. However, analogies are especially useful in explaining abstract ideas to non-experts, so they are used in the public communication of science by comparing technical topics with more familiar, everyday ('lifeworld') phenomena. In the same way, teachers use analogies as one technique for 'making the unfamiliar familiar' by suggesting that the unfamiliar curriculum focus (the target concept to be taught) is in some ways just like a familiar lifeworld phenomena (the analogue or source concept).

Read about science in public discourse and the media

Read about making the unfamiliar familiar

COVID is like a fire…

So, I was interested to hear Prof. Andrew Hayward, Professor of Infectious Disease Epidemiology and Inclusion Health Research at UCL (University College London), being interviewed on the radio and suggesting that COVID was like a fire:

"Sometimes I like to think of, you know, COVID as a fire, if we are the fuel, social mixing is the oxygen that allows the fuel to burn, vaccines the water that stops the fuel from burning, and COVID cases are the sparks that spread the fire. So, we are doing well on vaccines, but there's lots of dried wood left."

There's quite a lot going on in that short statement. If Prof. Hayward had stopped at "sometimes I like to think of COVID as a fire" this would have been a simile where it is simply observed that one thing is conceived as being a bit like another.

Simile offers a comparison and leaves the listener or reader to work out the nature of the similarity (whereas metaphor, where one thing is described to be another, an example would be 'COVID is a fire',  leaves the audience to even appreciate a comparison is being made). Analogy goes further, as it makes a comparison between two conceptual structures (two systems), such that by mapping across them we can understand how the structure of the unfamiliar is suggested to be like the more familiar structure.

That is, there is a mapping (see the figure below) that is based on pairings across the analogy. Here fire and COVID disease are each treated as systems with components that are structured in a parallel way:

COVID (illness): fire
people: fuel
social mixing: oxygen
vaccines: water
COVID cases: sparks

A graphic representation of Prof. Hayward's use of analogy

A lot of us are like kindling

Moreover, having set up this analogy, we are offered some additional information – we are doing well on vaccines (= there is plenty of water to stop fuel burning), but there is still a lot of dried wood. The listener has to understand that the dry wood refers to fuel, and this maps (in the analogy) onto lots of people who can still become infected.

I suspect most people (science teachers perhaps excepted) listening to this interview will not have even explicitly noticed the nature of the analogy, but rather automatically processed the comparison. They would have understood the message about COVID through the analogy, rather than having to actively analyse the analogy itself.

We can stop the sparks spreading the fire

Professor Hayward was asked about contact tracing and suggested that

"…the key thing is the human discussion with somebody who has COVID to identify who their contacts are and to ask them to isolate as well, and that really stops those sparks getting into the population and really helps to dampen down the fire."

That is, that potential COVID cases (that are like sparks in the fire system) can be prevented from mixing with the wider population (who are like fuel in the fire system) and this will dampen down the fire (the illness in the COVID system). {Note 'dampen down' seems to be a metaphor here rather than a true part of the analogy (in which it is the vaccines that have the effect of 'literally' {analogously} dampening down the fire). Stopping sparks mixing with fuel will limit new areas of combustion starting rather than dampening down the existing fire.}

An argument about contact tracing made using the analogy

Again, most people listening to this would likely have taken on board the intended meaning quite automatically, without having to deliberately analyse this answer – even though the response shifts between the target topics (the COVID disease system) and the analogue (the fire system) – so the sparks (fire system – equivalent to infectious cases) are stopped from getting into the population (COVID system – equivalent to the fuel supply).

This is reminiscent of chemistry teaching which slips back and forth between macroscopic and molecular levels of description – and so where references to, for example, hydrogen could mean the substance or the molecule – and the same word may have a different referent at different points in the same utterance (Taber, 2013). Whether this is problematic depends upon the past experiences of the listener – someone with extensive experience of a domain (probably most of the audience of a serious news magazine programme understand enough about combustion and infection to not have to deliberate on the analogy discussed here) can usually make these shifts automatically without getting confused.

Fire requires…AND…AND…

An analogy can only be effective when the analogue is indeed more familiar to the audience (you cannot make the unfamiliar familiar by comparing an unfamiliar target with an analogue that is also unfamiliar) so the use of the analogy by Professor Hayward assumed some basic knowledge about fire. Indeed it seemed to assume knowledge of the so-called 'fire triangle'.

Three factors are need to initiate/maintain combustion: fire may be stopped by removing one or more of these.

This is the idea that for a fire to commence or continue there need to be three things: something combustible to act as fuel; AND oxygen (or another suitable substance – as when iron filings burn in chlorine – but in usual circumstances it will be oxygen); AND a source of energy sufficient to initiate reaction (as burning is exothermic, once a fire is underway it may generate enough heat to maintain combustion – and sparks may spread the fire to nearby combustible material). To extinguish a fire, one needs to remove at least one of these factors – water can act as a heat sink to decrease the temperature, and may also reduce the contact between the fuel and oxygen. Preventing sparks from transferring hot material that can initiate further sites of combustion (providing energy to more fuel) can also be important.

Unobtrusive pedagogy

The quotes here were part of a short interview with a broadcast journalist and intended for a general public audience. Prof. Hayward introduced and developed his analogy as just sharing a way of thinking, and indeed analogy is such a common device in conversation that it was not obviously marked as a pedagogic technique. However, when we think about how such a device works, and what is expected of the audience to make sense of it, I think it is quite impressive how we can often 'decode' and understand such comparisons without any conscious effort. Providing, of course, that the analogue is indeed familiar, and the mapping across the two conceptual structures can be seen to fit.

Works cited:

Taber, K. S. (2013). Revisiting the chemistry triplet: drawing upon the nature of chemical knowledge and the psychology of learning to inform chemistry education. Chemistry Education Research and Practice, 14(2), 156-168. doi:10.1039/C3RP00012E

Taber, K. S. (2016). 'Chemical reactions are like hell because…': Asking gifted science learners to be creative in a curriculum context that encourages convergent thinking. In M. K. Demetrikopoulos & J. L. Pecore (Eds.), Interplay of Creativity and Giftedness in Science (pp. 321-349). Rotterdam: Sense. (Download the author's manuscript version of this chapter.)

 

Those flipping, confounding variables!

Keith S. Taber

Alternative interpretations and a study on flipped learning

Image by Please Don't sell My Artwork AS IS from Pixabay

Flipping learning

I was reading about a study of 'flipped learning'. Put very simply, the assumption behind flipped learning is that usually teaching follows a pattern of (a) class time spent with the teacher lecturing, followed by (b) students working through examples largely in their own time. This is a pattern that was (and perhaps still is) often found in Universities in subjects that largely teach though lecture courses.

The flipped learning approach switches the use the class time to 'active' learning activities, such as working through exercises, by having students undertake some study before class. That is, students learn about what would have been presented in the lecture by reading texts, watching videos, interacting with on-line learning resources, and so forth, BEFORE coming to class. The logic is that the teacher's input is more useful  when students are being challenged to apply the new ideas than as a means of presenting information.

That is clearly a quick gloss, and clearly much more could be said about the rationale, the assumptions behind the approach,and its implementation.

(Read more about flipped learning)

However, in simple terms, the mode of instruction for two stages of the learning process

  • being informed of scientific ideas (through a lecture)
  • applying those ideas (in unsupported private study)

are 'flipped' to

  • being informed of scientific ideas (through accessing learning resources)
  • applying those ideas (in a context where help and feedback is provided)

Testing pedagogy

So much for the intention, but does it work? That is where research comes in. If we want to test a hypothesis, such as 'students will learn more if learning is flipped' (or 'students will enjoy their studies more if learning is flipped', or 'more students will opt to study the subject further if learning is flipped', or whatever) then it would seem an experiment is called for.

In principle, experiments allow us to see if changing some factor (say, the sequence of activities in a course module) will change some variable (say, student scores on a test). The experiment is often the go-to methodology in natural sciences: modify one variable, and measure any change in another hypothesised to be affected by it, whilst keeping everything else that could conceivably have an influence constant. Even in science, however, it is seldom that simple, and experiments can never actually 'prove' our hypothesis is correct (or false).

(Read more about the scientific method)

In education, running experiments is even more challenging (Taber, 2019). Learners, classes, teachers, courses, schools, universities are not 'natural kinds'. That is, the kind of comparability you can expect between two copper sulphate crystals of a given mass, or two specimens of copper wire of given dimensions, does not apply: it can matter a lot whether you are testing this student or that student, or if the class is taught one teacher or another.

People respond to conditions different to inanimate objects – if testing the the conductivity of a sample of a salt solution of a given concentration it should not matter if it is Monday morning of Thursday afternoon, or whether it is windy outside, or which team lost last's night's match, or even whether the researcher is respectful or rude to the sample. Clearly when testing the motivation or learning of students, such things could influence measurements. Moreover, a sample of gas neither knows or cares what you are expecting to happen when you compress it, but people can be influenced by the expectations of researchers (so called expectancy effect – also known as the Pygmalion effect).

(Read about experimental research into teaching innovations)

Flipping the fundamentals of analytic chemistry

In the study, by Ponikwer and Patel, researchers flipped part of a module on the fundamentals of analytical chemistry, which was part of a BSc honours degree in biomedical science. The module was divided into three parts:

  1. absorbance and emission spectrosocopy
  2. chromatography and electrophoresis
  3. mass spectroscopy and nuclear magnetic resonance spectroscopy

Students were taught the first topics by the usual lectures, then the topics of chromatography and electrophoresis were taught 'flipped', before the final topics were taught through the usual lectures. This pattern was repeated over three successive years.

[Figure 1 in the paper offers a useful graphical representation of the study design. If I had been prepared to pay SpringerNature a fee, I would have been allowed to reproduce it here.*]

The authors of the study considered the innovation a success

This study suggests that flipped learning can be an effective model for teaching analytical chemistry in single topics and potentially entire modules. This approach provides the means for students to take active responsibility in their learning, which they can do at their own pace, and to conduct problem-solving activities within the classroom environment, which underpins the discipline of analytical chemistry. (Ponikwer & Patel,  2018: p.2268)

Confounding variables

Confounding variables are other factors which might vary between conditions and have an effect.

Read about confounding variables

Ponikwer and Patel were aware that one needs to be careful in interpreting the data collected in such a study. For example, it is not especially helpful to consider how well students did on the examination questions at the end of term to see if students did as well, or better, on the flipped topics that the other topics taught. Clearly students might find some topics, or indeed some questions, more difficult than others regardless of how they studied. Ponikwer and Patel reported that on average students did significantly better on questions from the flipped elements, but included important caveats

"This improved performance could be due to the flipped learning approach enhancing student learning, but may also be due to other factors, such as students finding the topic of chromatography more interesting or easier than spectroscopy, or that the format of flipped learning made students feel more positive about the subject area compared with those subject areas that were delivered traditionally." (Ponikwer & Patel,  2018: p.2267)

Whilst acknowledging such alternative explanations for their findings might seem to undermine their results it is good science to be explicit about such caveats. Looking for (and reporting) alternative explanations is a key part of the scientific attitude.

This good scientific practice is also clear where the authors discuss how attendance patterns varied over the course. The authors report that the attendance at the start of the flipped segment was similar to what had come before, but then attendance increased slightly during the flipped learning section of the course. They point out this shift was "not significant", that is statistics suggested it could not be ruled out to be a chance effect.

However Ponikwer and Patel do report a statistically "significant reduction in the attendance at the non-flipped lectures delivered after the flipped sessions" (p.2265) – that is, once students had experienced the flipped learning, on average they tended to attend normal lectures less later in their course. The authors suggest this could be a positive reaction to how they experienced the flipped learning, but again they point out that there were confounding variables, and other interpretations could not ruled out:

"This change in attendance may be due to increased engagement in the flipped learning module; however, it could also reflect a perception that a more exciting approach of lecturing or content is to be delivered. The enhanced level of engagement may also be because students could feel left behind in the problem-solving workshop sessions. The reduction in attendance after the flipped lecture may be due to students deciding to focus on assessments, feeling that they may have met the threshold attendance requirement" (Ponikwer & Patel,  2018: p.2265).

So, with these students, taking this particular course, in this particular university, having this sequence of topics based on some traditional and some flipped learning, there is some evidence of flipped learning better engaging students and leading to improved learning – but subject to a wide range of caveats which allow various alternative explanations of the findings.

(Read about caveats to research conclusions)

Pointless experiments?

Given the difficulties of interpreting experiments in education, one may wonder if there is any point in experiments in teaching and learning. On the other hand, for the lecturing staff on the course, it would seem strange to get these results, and dismiss them (it has not been proved that flipped learning has positive effects, but the results are at least suggestive and we can only base our action on the available evidence).

Moreover, Ponikwer and Patel collected other data, such as students' perceptions of the advantages and challenges of the flipped learning approach – data that can complement their statistical tests, and also inform potential modifications of the implementation of flipped learning for future iterations of the course.

(Read about the use of multiple research techniques in studies)

Is generalisation possible?

What does this tell us about the use of flipped learning elsewhere? Studies taking place in a single unique teaching and learning context do not automatically tell us what would have been the case elsewhere – with different lecturing staff, different demographic of students, when learning about marine ecology or general relativity. Such studies are best seen as context-directed, as being most relevant to here they are carried out.

However, again, even if research cannot be formally generalised, that does not mean that it cannot be informative to those working elsewhere who may apply a form of 'reader generalisation' to decide either:

a) that teaching and learning context seems very similar to ours: it might be worth trying that here;

or

b) that is a very different teaching and learning context to ours: it may not be worth the effort and disruption to try that out here based on the findings in such a different context.

(Read about generalisation)

This requires studies to give details of the teaching and learning context where they were carried out (so called 'thick description'). Clearly the more similar a study context is to one's own teaching context, and the wider the range of teaching and learning contexts where a particular pedagogy or teaching approach has been shown to have positive outcomes, the more reason there is to feel it is with trying something out in own's own classroom.

I have argued that:

"What are [common in the educational research literature] are individual small-scale experiments that cannot be considered to offer highly generalisable results. Despite this, where these individual studies are seen as being akin to case studies (and reported in sufficient detail) they can collectively build up a useful account of the range of application of tested innovations. That is, some inherent limitations of small-scale experimental studies can be mitigated across series of studies, but this is most effective when individual studies offer thick description of teaching contexts and when contexts for 'replication' studies are selected to best complement previous studies." (Taber, 2019: 106)

In that regard, studies like that of Ponikwer and Patel can be considered not as 'proof' of the effectiveness of flipped learning, but as part of a cumulative evidence base for the value of trying out the approach in various teaching situations.

Why I have not included the orignal figure showing the study design

* I had hoped to include in this post a copy of the figure in the paper showing the study design. The paper is not published open access and so the copyright in the 'design' (that, is the design of the figure **, not the study!) means that it cannot be legally reprodiced without permission. I sought permission to reproduce the figure here through (SpringerNature) the publisher's on line permissions request system, explaining this was to be used in an acdemics scholar's personal blog.

Springer granted permission for reuse, but subject to a fee of £53.83.

As copyright holder/managers they are perfectly entitled to do that. However, I had assumed that they would offer free use for a non-commercial purpose that offers free publicity to their publication. I have other uses for my pension, so I refer readers interested in seeing the figure to the original paper.

** Under the conventions associated with copyright law the reproduction of short extracts of an academic paper for the purposes of criticism and review is normally considered 'fair use' and exempt from copyright restrictions. However, any figure (or table) is treated as a discrete artistic design and cannot be copied from a work in copyright without permission.

(Read about copyright and scholarly works)

 

Work cited:

The Arts in Our Hearts and the Creativity in our Science

Keith S. Taber

A(nother) point of view?

Bernardine Evaristo argues for a broad curriculum

On Sunday morning I heard Bernardine Evaristo reading her essay 'The Arts in Our Hearts' in BBC Radio 4's weekly 'A Point of View' slot. It was a heartfelt and compelling argument for the importance of investing in the arts in education (and well worth a listen).

Demoting creativity?

Evaristo complained about the lack of support for the arts in the current curriculum context.

"We have an educational provision that demotes and demeans creativity in the hierarchy of subjects"

Since the introduction of the Natural Curriculum in England, science, mathematics and English have had a specials status, and in recent years the arts have been squeezed – often treated as luxuries and foci for extra-curricular provision. Among the points Evaristo made were that it was inappropriate to pressure all children towards STEM (i.e., science, technology, engineering and mathematics) subjects "because [it is suggested] that's where the future lies", as education is not just about preparing for work, and (even if it were) degrees in the arts and humanities can perfectly well lead to good careers; and also arts education supports the development of creativity – "the very creativity that might one day lead them to a career in science or engineering".

I found much to agree with here.

A (personal) science bias

I was fascinated with science as a child. When I entered secondary school I was asked what I wanted to do when I left. I said I wanted to go to University to do science. (All my subsequent careers input took the form of the single annual leading question:  "Do you still want to go to University to study science?") I did a chemistry degree. I trained to teach chemistry and physics. I became a science teacher, then a science lecturer, and then a science education lecturer. I was never any good at art, failed to learn to play an instrument well, cannot dance (even my swimming is a potential danger to others, and – when I am in the lane closest to the pool wall- to my own fingers)…there was no way I was going to become an artist. So, I might be considered to have a science bias.

Why educate?

But I totally agree with the gist of what Evaristo argued. Education is not about preparing people for jobs, and it should not be primarily about helping them acquire skills for the jobs market. That cannot be totally ignored, but that sounds more like training than education. Education has multiple purposes and these need to be reflected in curriculum (Taber, 2019). Certainly we want education to allow young people to have the chance to progress to achieve their goals – which may be to become a heart surgeon, a cosmologist, or a marine biologist. Or, it may be to be a journalist, novelist, choreographer, songwriter, historian, film critic…

But education is about developing the whole person, and that will not happen when the curriculum is too narrow. Education is also about inducting learners into the culture of their society (and increasingly the 'global village' moves towards being one suprasociety). Children should be supported in engaging with a wide range of different areas, even if they decide they do not wish to later follow-up some or most of these.

And this does not just mean following-up for for employment: a person who becomes a sculptor should have their life outside the studio enhanced due to what they experienced in school science, just as someone who becomes a pharmacist should have their life outside the dispensary enhanced due to what they experienced in arts classes; and someone who becomes an office cleaner or who works in a customer service call centre has the right to have their life enhanced by the range of school experiences across the curriculum.

Culture and civil-isation

I value having gone to the theatre from school, and on a trip to hear a symphony orchestra. I never went to ballet or opera, but I would want all children to be offered these experiences. Children should not leave school without some art history – not highly theoretical, but having had a chance to become familiar with different styles of painting. And so with other areas of our common inheritance – and not limited to what might be called 'high culture'. (Consider the popularity on mainstream television channels of programmes about ballroom dancing, cooking, gardening, antiques collecting, landscape and portrait painting, interior design/decoration, making/renovating/recycling, and so forth.)

This is what it means to be civilised.

Without experiencing different aspects of culture, at least having a taster of what is out there, children are not being fully inducted into that culture. Where schools do not offer this, we have a two-tier society – where some children are able to access the breadth of culture because of home background, and others (perhaps partly because socio-economic conditions do not allow, but perhaps partly simply because the parents were themselves never offered glimpses of these options in their own education) miss out. Bernstein's notion of 'restricted code' can be understood in a wider sense than just access to forms of language.

It is not acceptable that a broad education offering access to informed choices about later engagement in the wider culture is offered to those who can afford private education or extra-curricular enrichment activities, but the rest have to settle for, hopefully, being employable.

'To live without my music, would be (near) impossible to do…'

I was never going to be an artist, but works of art have given me much pleasure. Arguably music has been as important to me as science – the constant companion since my adolescence (I feel a John Miles lyric seeking to make itself felt here). I cannot sing well, play an instrument, or even whistle in tune. I cannot tell the key a piece is in. I have somewhat eclectic tastes, and indeed some might indeed suggest little taste at all – but 'I know what I like (in your wardrobe)' and what has uplifted me, puzzled me, excited me, consoled me, calmed me, comforted me – what music can do to transcend the moment and shift the mood – surely that's what really matters?

So I'm there 100% – an education that prioritises the sciences over the humanities, and, even more so, over the arts, is as distorted as the curriculum of the original grammar schools which would not have known what to with with natural philosophy (proto-science), and found the idea of adding Greek to the curriculum something of a progressive innovation. Of course, that is an ahistorical judgement (ignoring the context at the time), whereas today there is no excuse for this kind of short-sightedness.

But I do have just a couple of reservations about Evaristo's essay, or more to the point, what could be taken away from it.

We need to encourage all young people to see STEM options as open, and welcoming, to them

My first slight reservation is that although I agree that we should not pressure all children towards science and other STEM areas, we should bear in mind that some groups have historically been underrepresented in science subjects, and some children may have been given the impression that science is not for the likes of them. We need to do all we can to make science inclusive – science (as with art) is a core part of all our culture, and a universal human activity. We should not push everyone into science, but we need to make it clear that no one is excluded because of gender or ethnicity or religious faith or other kinds of (claimed or perceived) group identity. So, science teachers should encourage everyone to believe that science could be for them, but working on a level playing field with other teachers promoting their own areas.

Science IS creative

My second, slight, query is the identification of creativity with arts education. That is not to say that arts education does not offer opportunities for creativity –  of course it does – but rather the potential inference that science education can not.

Evaristo recognises that creativity is important to the professional in STEM fields, so surely science education needs to develop this. Science has a rightly deserved reputation for logic, reasoning, and rational thought – but this can only work on the creative ideas that scientists develop: without the imaginative invention of novel ideas to test, there would be no experiments or data to do any logical analysis with ( Taber, 2011).

So when Bernardine Evaristo refers to "play, a.k.a the arts" she neglects the role of play in science. When this play takes place in the lab', it needs to be play subject to a careful risk assessment, certainly, but it is still a form of play. A period of familiarisation with a phenomenon is often essential background for developing an investigative strategy.

Creativity is part of an authentic science education

That is not to say I am claiming that this creativity is always obvious in science education. Over-packed curriculum specifications that make science courses seem like an endless barrage of unconnected topics, and mark schemes designed as if for automatons examining work produced by automatons having been instructed by automatons, seem designed to squeeze out any opportunities for teaching and learning that can offer an authentic feel for what science is actually like. All work, no play, makes Jacqueline a dull scientist, and so unlikely to discover anything substantially new. So yes, perhaps "We have an educational provision that demotes and demeans creativity in the hierarchy of subjects" through, first, locating STEM subjects at the pinnacle, but, then, also by misrepresenting them as not being creative.

Of course, there are enrichment activities that allow learners to be creative in science activities, and to engage with projects or topics over extended periods of time – and so give more of an authentic feel for scientific enquiry. The CREST awards scheme from 'the British Ass' (The British Science Association) is just one example (Taber & Cole, 2010). But then, like extra-curricular arts, this is not available in all schools, and, moreover, students should not need to go outside the curriculum to get authentic and creative science education.

Curriculum breadth is not a luxury

So, yes, I totally agree that:

"it's vital for the country's future that we reject, once and for all, the notion that the arts are a luxury"

But I would also argue that it is vital for humanity's future that we reject, once and for all, the notion that science is only about logic, and that only the arts offer creativity.

Everyone should be introduced in their schooling to all the key aspects of our culture. And just as art education has to involve creating, not only being taught art history or appreciation, science education has to offer a feel for science as a practice, not just a never-ending parade of theories, models, laws, and so forth, previously created by someone else (and most often a dead, 'white', male someone). Creativity in science is clearly different in its expression to creativity in the arts – and so both should be experienced in everyone's schooling.

Work cited:

Catalysis as an analogy for scaffolding

Keith S. Taber

Image by Gerd Altmann from Pixabay

A key part of teaching or communicating science, is about 'making the unfamiliar familiar'.

(Read about 'Making the unfamiliar familiar')

Analogies can be used as pedagogic devices to make the unfamiliar familiar' – that is by suggesting that something (the unfamiliar thing being explained) is somehow like something else (that is already familiar), the unfamiliar can start to become familiar. The analogy functions like a bridge between the known and the unknown. (Note: the idea of a bridge is being used as simile there – another device that can be used to help make the unfamiliar familiar.)

(Read about 'analogies in science')

(Read about 'similes in science')

For an analogy (or simile) to work, the person being taught or communicated with has to already be familiar with the 'source' that act as an analogue for the 'target' being communicated. (If someone did not know what a bridge was, what it is used for, then it would be no help to them to be told that an analogy can function like one! Indeed it would probably just confuse matters.)

An analogy is based on some mapping of structure between two different systems. For example, at one time a common teaching analogy was that the atom was like a tiny solar system. For that to be useful to a learner, they would need to be more familiar with the solar system than the atom. To be used as an effective teaching analogy, the learner would have to understand the relevant parts of the conceptual structure of the solar system idea that were being mapped across to the atom (perhaps a relatively large central mass, the idea of a number of less massive bodies orbiting in some way, a force between the central and peripheral bodies responsible for the centripetal acceleration of the orbiting bodies…).

A person might easily map across irrelevant aspects of the source to the target, perhaps as all the planets are different then all electrons must be different! This might explain why some students assume the force holding the atom together is gravitational!

(Read about 'Understanding Analogous Atomic and Solar Systems')

In teaching science, it is common to use everyday sources as analogues for scientific ideas. But, of course, it is also possible to use scientific ideas as the source to try to explain other target ideas.

Below I reproduce an extract from a recent publication (Taber & Li, 2001). I developed an analogy between enzymatic catalysis (a scientific concept) and scaffolding of learning (an educational or psychological concept), to use is a chapter I co-wrote with Xinyue Li .

(Read about 'Scaffolding learning')

The mapping I had in mind was something like this:

AspectSource (Enzymatic catalysis)Target (Scaffolding)
ProcessChemical reactionDevelopment of new knowledge/skills
ImpedimentLarge activation energy – barrier far greater than energy available to reactant species Large learning demand – gap between current capability and mastery of new knowledge/skill exceeds manageable 'learning quantum'
InterventionAddition of enzymeMediation by 'teacher'
MechanismProvides alternative reaction pathway with small energy barriersStructures learning by modelling activity, and leads learner through small manageable steps
MatchingThe enzyme 'fits' the reactant molecule and readily bindsA good scaffold matches the learners' current capacity to progress in learning (in the so-called 'ZPD')
Degrees of freedomThe binding of the enzyme to a substrate 'guides' the subsequent molecular reconfigurationThe scaffolding guides the steps in the learning process taken by the learner
Mapping between two analogous conceptual structures

Scaffolding Learning as Akin to Enzymatic Catalysis

"Metaphors and analogies should always be considered critically, as the aspects that do not map onto the target they are being used to illustrate can often be as salient and as relevant as the aspects that map positively. Given that, and in the spirit of offering a way to imagine scaffolding (rather than an objective description) we suggest it may be useful to think of scaffolding learning as like the enzymatic catalysis of a chemical process in the body (see Figure 3).

Figure 3. Scaffolding learning can be seen as analogous to enzymatic catalysis (b) which facilitates a reaction with a substantive energy barrier (a).

Some chemical reactions are energetically viable (in chemical terms, exothermic) and so in thermodynamic terms, occur spontaneously. However, sometimes even theoretically viable (so spontaneous) reactions occur at such a slow rate that for all practical purposes there is no reaction. For example, imagine a wooden dining table in a room at 293 K (20˚C) with an atmosphere containing about 21% oxygen – a situation found in many people's homes. The combustion of the table is a viable chemical process [1] and indeed the wood will (theoretically) spontaneously burn in the air. Yet, of course, that does not actually happen. Despite being a thermodynamically viable process, the rate is so slow that an observer would die of old age long before seeing the table burst into flames, unless some external agent actively initiated the process. If parents returned home from an evening out to be told by their teenage children that the smouldering dining table caught alight spontaneously, the parents would be advised to suspect that actually this was not strictly true. Although the process would be energetically favourable, there is a large energy barrier to its initiation (cf. Figure 3, top image). Should sufficient energy be provided to ignite the table, then it is likely to continue to burn vigorously, but without such 'initiation energy' it would be inert.

The process of catalysis allows reactions which are energetically favourable, but which would normally occur at a slow or even negligible (and in the case of our wooden table, effectively zero) rate to occur much more quickly – by offering a new reaction pathway that has a much lower energy barrier (such that this is more readily breached by the normal distribution of particles at the ambient temperature).

In living organisms, a class of catalysts known as enzymes, catalyse reactions. Enzymes tend to be specific to particular reactions and very effective catalysts, so reactions akin to the burning of organic materials (as found in our wooden table) can occur as part of metabolism at body temperature. The second image in Figure 3 represents the same chemical reaction as in the top image (note the same start and finish points) reflecting how an enzyme changes the reaction pathway, but not the overall reaction. Two particular features of this graphical metaphor are that the overall process is broken down into a number of discrete steps, and the 'initiation energy' needed to get the process underway is very much smaller.

This is similar to the mediation of learning trough scaffolding, where a task that is currently beyond the capacity of the learner is broken down into a sequence of smaller steps, more manageable 'learning quanta', and the learner is guided along a learning pathway. The parallels go beyond this. Part of the way that an enzyme functions is that the enzyme molecule's shape is extremely well matched to bind to a target reactant molecule (something reflected in the teaching analogy of the 'lock and key' mechanism of enzymatic action: the enzyme and substrate molecules are said to fit together like a lock and key). This is analogous to how effective scaffolding requires a teacher to design a scaffold that fits the learner's current level of development: that is, her current thinking and skills. Once the substrate molecule is bound to the enzyme molecule, this then triggers a specific reconfiguration: just as a good scaffolding tool suggests to the learner a particular perspective on the subject matter.

Moreover, whereas a free substrate molecule could potentially follow a good many different pathways, once it is bound to the enzyme molecule its 'degrees of freedom' are reduced, so there are then significant constraints on which potential changes are still viable. Most organic chemistry carried out in vitro (in laboratory glassware) is inefficient as there are often many 'side reactions' that lead to unintended products, just as students may readily take away very different interpretations from the same teaching, so the yield of desired product can be low. However in vivo reactions (in living cells), being enzyme-catalysed, tend to give high yields.

The process of enzymatic catalysis therefore makes the preferred pathway much 'easier', offers a guide along the intended route, and channels change to rule out alternative pathways. Digital tools that support teaching to meet curricular aims, such as apps intended to be used by learners to support study, therefore need to offer similar affordances (structuring student learning) and constraints (reducing the degrees of freedom to go 'off track'). Clearly this will rely on design features built into the tool. Here we very briefly discuss two examples."

[1] We avoid the term 'reaction' here, as strictly a chemical reaction occurs between specific substances. Wood is a material composed of a wide range of different compounds, and so the combustion of wood is a process encompassing a medley of concurrent reactions.

(Taber & Li, 2001, pp.55-58)
Work cited:

We can't handle the scientific truth

"If the muscles and other cells of the body burn sugar instead of oxygen…"

Do they think we cannot handle the scientific truth?

I should really have gone to bed, but I was just surfing the channels in case there was some 'must watch' programme I might miss, and I came across a screening of the film 'A few good men'. This had been a very popular movie at one time, and I seem to recall watching it with my late wife. I remembered it as an engaging film, and as an example of the 'courtroom drama' genre: but beyond that I could really only remember Tom Cruise as defence advocate questioning Jack Nicholson's as a commanding officer – and the famous line from Nicholson – "You can't handle the truth!".

This became something of a meme – I suspect now there are a lot of people who 'know' and use that line, who have never even seen the film and may not know what they are quoting from.

So, I  though I might watch a bit, to remind myself what the actual case was about. In brief, a marine stationed at the U.S. Guantánamo Bay naval base and detention camp had died at the hands of two of his comrades. They had not intended to kill, but admitted mistreating him – their defence was they were simply obeying orders in subjecting a colleague who was not measuring up, and was letting the unit down, to some unpleasant, but ultimately (supposedly) harmless, punishment.

The film does not contain a lot of science, but what struck me was the failure to get some science that was invoked right.  I was so surprised at what I thought I'd heard being presented as science, that I went back and replayed a section, and I then decided to see if I  could find the script (by Aaron Sorkin*, screenplay adapted from his own theatre play) on the web, to see if what was said had actually been written into the script.

One of the witnesses is a doctor who is asked by the prosecuting counsel to explain lactic acidosis.

Burning sugar instead of oxygen?

The characters here are:

Capt. Jack Ross (played by Kevin Bacon) the prosecuting counsel,

Dr. Stone (Christopher Guest) and

 

 

 

Lt. Daniel Kaffee (Cruise's character).

On direct examination:

Ross: Dr. Stone, what's lactic acidosis?

Stone: If the muscles and other cells of the body burn sugar instead of oxygen, lactic acid is produced. That lactic acid is what caused Santiago's lungs to bleed.

Ross: How long does it take for the muscles and other cells to begin burning sugar instead of oxygen?

Stone: Twenty to thirty minutes.

Ross: And what caused Santiago's muscles and other cells to start burning sugar? [In the film, the line seems to be: And what caused this process to be speed up in Santiago's muscles?]

Stone: An ingested poison of some kind.

Later, under cross-examination

Kafee: Commander, if I had a coronary condition, and a perfectly clean rag was placed in my mouth, and the rag was accidentally pushed too far down, is it possible that my cells would continue burning sugar after the rag was taken out?

Stone: It would have to be a very serious condition.

What?

If a student suggested that lactic acid is produced when the muscles burn sugar instead of oxygen we would likely consider this an alternative conception (misconception). It is, at best, a clumsy phrasing, and is simply wrong.

Respiration

Metabolism is a set of processes under very fine controls, so whether we should refer to metabolism as burning or not, is a moot point. Combustion tends to be a vigorous process that is usually uncontrolled. But we can see it as a metaphor: carbohydrates are 'burnt' up in the sense that they undergo reactions analogous to burning.

But burning requires oxygen (well, in the lab. we might burn materials in chlorine, but, in general, and in everyday life, combustion is a reaction with oxygen), so what could burning oxygen mean?

In respiration, glucose is in effect reacted with oxygen to produce carbon dioxide and water. However, this is not a single step process, but a complex set of smaller reactions – the overall effect of which is

glucose + oxygen → carbon dioxide + water

Breaking glucose down to lactic acid also acts as an energy source, but is no where near as effective. Our muscles can undertake this ('anaerobic') process when there is insufficient oxygen supply –  for example when undertaking high stamina exercise – but this is best seen as a temporary stop-gap, as lactic acid build up causes problems (cramp for example) – even if not usually death.

Does science matter?

Now clearly the science is not central to the story of 'A few good men'. The main issues are (factual)

  • whether the accused men were acting under orders;

(ethical)

  • the nature of illegal orders,
  • when service personal should question and ignore orders (deontology) given that they seldom have the whole picture (and in this film one of the accused men is presented as something of a simpleton who viewer may suspect should not be given much responsibility for decision making),
  • whether it is acceptable to use corporal or cruel punishment on an under-performing soldier (or marine) given that the lives of many may depend upon their high levels of performance (consequentialism, or perhaps pragmatics)…

There is also a medical issue, regarding whether the torture of the soldier was the primary cause of death, or whether there was an underlying health issue which the medical officer (Stone) had missed and which might also explain the poor performance. [That is a theme which featured large in a recent very high profile real murder case.]

Otherwise the film is about the characters of, and relationships among, the legal officers. Like most good films – this is film about people, and being human in the world, and how we behave towards and relate to each other.

The nature of lactic acidosis is hardly a key point.

But if it is worth including in the script as the assumed cause of death, and its nature relevant – why not get the science right?

Perhaps, because science is complicated and needs to be simplified for the cinema-goer who, after all, wants to be entertained, not lectured?

Perhaps there is no simple account of lactic acidosis which could be included in the script without getting technical, and entering into a long and complicated explanation.

In teaching science…

But surely that is not true. In teaching we often have to employ simplifications which ignore complexity and nuance for the benefit of getting the core idea across to learners. We seek the optimal level of simplification that learners can make good sense of, but which is true to the core essence of the actual science being discussed (it is 'intellectually honest') and provides a suitable basis for later more advanced treatments.

It can be hard to find that optimum level of simplification – but I really do not think that explaining lactic acidosis as burning sugar instead of oxygen could be considered a credit-worthy attempt.

Dr. Stone, can we try again?

What about, something like:

Dr. Stone, what's lactic acidosis?

It occurs when the body tissues do not have sufficient oxygen to fully break down sugar in the usual way, and damaging lactic aid is produced instead of carbon dioxide and water.

I am sure there are lots of possible tweaks here. The point is that the script did not need to go into a long medical lecture, but by including something that was simply nonsensical, and should be obviously wrong to anyone who had studied respiration at school (which should be everyone who has been to school in the past few decades in many countries), it distracts, and so detracts, from the story.

All images from 'A few good men' (1992, Columbia Pictures)

 

 

 

 

 

 

 

 

 

 

* I see that ("acclaimed screenwriter") Aaron Sorkin is planning a new live television version of 'A Few Good Men' – so perhaps the description of lactic acidosis can be updated?

Thank you, BBC: I'll give you 4/5

BBC corrects cruel (to cats) scientific claim on its website

Keith S. Taber

I just got 80% on a science test for primary school children

I've just scored 4/5 (80%) on an on-line KS2 science test on the BBC (the British Broadcasting Corporation) educational website. 80% sounds quite good out of context, but I am a science teacher and KS2 is meant for 7-11 year olds.

The BBC awards me 4/5 for my primary level science knowledge about the states of matter

My defence is that the question I got wrong was ambiguous (but, as Christine Keeler might have said, I would say that).

I was actually getting round to checking on something from a while back.

In 2019 I came across something on the website that I thought was very misleading – and I complained to the BBC through their website form. I had an immediate, but generic response:

"Thank you for taking the time to send us your comments. We appreciate all the feedback we receive as it plays an important role in helping to shape our decisions.

This is an automated message (sorry that we can't reply individually) to let you know that we've read your comments and will report them overnight to staff across the BBC for them to read too (after removing any personal details). This includes our programme makers, commissioning editors and senior management.

Thanks again for contacting the BBC.

BBC Audience Services.

NB: Please do not reply to this email. It includes a reference number but comes from an automated account which is not monitored."

Email: 6th Sept., 2019

This kind of response is somewhat frustating. My complaint had been recieved, and would be passed on, but it looked like I would get no specific response (as presumably if my "comments" were to be reported to relevant staff "after removing any personal details", those staff would not be in a position to let me know if they were following up, dismissing, or simply ignoring, my comments.) Indeed, I never did get any follow up.

So, my intention was to check back after a decent period had elapsed (n.b., where does all the time go?) and see if anything had been changed in response to my complaint. Strictly, if there had been a change this could be because:

  • a) I complained
  • b) someone else/some other people complained (i.e., people who's complaints were taken more seriously than mine)
  • c) I was one of number of people who complained
  • d) material had been updated compleltely independently of any compaints

That is, I could not know if I personally had had any effect, BUT if the offending material (because as a chemist I was offended professionally, even if not personally) was still there then I would know my compaint had not been heeded.

So, I intended to check back; I expected to find no change (as pointing out blatant, basic, errors in the science in the English National Curriculum to government ministers did not have any effect, so the BBC…? ); and, if so, I thought of following up with an email or an old fashioned snail-mail … ("…yours, disgusted of Cambourne"*).

Well done, BBC

So, I am happy to publicly acknowledge that the BBC has changed its materials appearing under the heading 'What are the states of matter?'

The topic comprises of a short animation (with odd anthropomorphised {"guys"} geometric shapes handling examples of the states of matter: solid, liquid and gas); a series of bullet points on each state; a sorting task; and then the set of five objective (multiple choice) questions.

There are a number of issues with the examples used here, as discussed below. But the main focus of my complaint, a cartoon cat, has now been released from the indignity of being classified as a state of matter. Yes, a cat!

Limitations of the three states of matter model

The idea that matter can exist in three states is a pretty important foundation for a good deal of other science.

However there is big problem with the generality of the model. Basically it really applies to pure samples of substances: generally substances (not materials in general, and certainly not objects) exist as solids, liquids, or gases, depending on the conditions of temperature and pressure – although at high enough temperatures plasmas are formed (and theoretically when hot enough even the atomic cores, and eventually nuclei would break down – but those conditions are pretty extreme and not found in the typical home or classroom).

Examples of substances include water, salt, calcium carbonate, iron, mercury, hydrogen, graphite, carbon dioxide, sulphur… that is, elements and compounds. Of course, many of these are seldom met in pure form in everyday life outside school science labs.

Most materials that people come across are mixtures or composites. Mixtures often exist as solutions or suspensions – as gels or foams or emulsions – not as solids, liquids or gases.

This is probably why the terms 'solids', 'liquids' and 'gases' actually have two sets of meanings – the science or technical sense, and the everyday or 'life-world' sense. So milk is a liquid(everyday) as you can pour some into your tea cup and a block of wood is a solid(everyday) as it retains its shape and integrity as you nail it to another structure. But milk and wood are not substances – and so not liquid(scientific) or solid(scientific).

Does this matter? Yes, because if we are teaching children things in science lessons, it would be good to get the science right. A solid will melt at a distinct melting temperature to give a liquid which will boil at a distinct boiling temperature. Wood, for example, does not.

Wood is a complex material. It has gas pockets. It has (variable) moisture content, and the structure contains various compounds – lignin, cellulose, and many more. The response to heating reflects that complex constitution.

The BBC's examples of solids, liquids, and gases

The BBC website suggests examples of the three states of matter to introduce primary age students to the concept.

Animation:

Solids: block of ice, football

Lquids: water, honey

Gases: none are specified – animation shows the clouds (of liquid water droplets) forming around a kettle spout, and 'gas' put into in fizzy drinks is referenced.

A football is not solid, but usually air (a mixture of gases with some other components) contained in a plastic shell. (The voiceover refers simply to a 'ball', but the animation show a large ball with a traditional football pattern being used to do 'keepy uppies' by the cartoon character.)

Honey is not a liquid(scientific) but a complex mixture of sugars in solution. There is usually much more sugar than water. (So, arguably, it is more solid than liquid – but it is better to simply not consider it as either.) This is where I dropped a mark on the terminal test:

Two of the options are NOT liquids. Only one response gets credit in this test!
Web text:

The bullet points on the site list some further examples:

"Examples of solids include ice, wood and sand." (Ice and sand are solids(scientific).)

"Examples of liquids include water, honey and milk." (Only water is liquid(scientific) here.)

"Examples of gases include steam, helium and oxygen." (3/3, well done BBC!)

Sorting task:
The BBC website task invites children to sort cards showing objects into three categories. (What is that object on the front card meant to be?)

In the sorting task, children are asked to sort a number of examples shown on cards into solid, liquid, and gas:

The examples presented are air, a feather, helium, milk, a pencil, sea, steam, syrup, wood. Of these only helium and steam strictly meet the criteria for being a solid(scientific)/liquid(scientific)/gas(scientific). Yet, as suggested above, it is difficult to find genuine examples that are both scientifically correct and familiar to young children. Perhaps sea and air (at least materials) are closer approximations than a pencil or a feather ("solids retain their shape" – would a child using the website have handled a feather, and, if so, would it have retained its shape under child-handling?)

So, I still have reservations about this material, whilst acknowledging the need to balance scientific correctness with relevant (to children) examples. Strictly, some of the examples can be seen as encouraging children to get the science wrong. These things matter if only because children are learning things on this site that later in their school career will be judged as alternative conceptions and marked as wrong.

(Read 'Are plants solid?')

None the less, I am pleased that the BBC has at least decided to amend its sorting task, and remove the poor cat:

Which pile does the cat belong in? [This example has now been removed. Bravo.]

The website had previously been quite clear that putting the cat as anything other than solid was 'wrong'. It is classed as a solid even though a cat (like any animal) is (or would be if separated out into its constituent substances – and children should not try this at home) more water than anything else.

I had real trouble seeing how that example fitted with the criteria specified on the webpage:

"[Cats] stay in one place and can be held.

[Cats] keep their shape. They do not flow like liquids.

[Cats] always take up the same amount of space. They do not spread out like gases.

[Cats] can be cut or shaped."

Characteristics of solids, but perhaps not entirely true of cats?

* cf. the idiom 'disgusted of Tunbridge Wells' – referring to a hypothetical person who writes to media complaining about matters of concern.

Images used here are screenshots, copyright of the BBC – a publicly funded public service broadcaster.