It’s Not All Relative: Five Things That Einstein Never Said

We have all done it, haven’t we? Each and every one of us has, at some point, appropriated (or misappropriated) a quotation from a great thinker or writer to lend a spurious profundity to our own footling little thoughts.

While it may be well-nigh irresistible to wrap ourselves in the borrowed robes of literary or scientific genius, the temptation is fraught with dangers. To spare both our own blushes and those of our unsuspecting audience, it’s a good idea to check whether the Great Person actually said what they are reputed to have said.

For one reason and another, the life, career and reputation of Albert Einstein makes him an especially tempting target for spurious attributions.

This is my eclectic list of five things that Einstein did NOT say, and yet seem to be quoted and requoted again and again, especially in an educational context.

It is a melancholy truth that these particular memes will most likely be circulating on the internet until the last router rusts away to nothingness. However, on the principle that it better to light a candle than complain about the dark, I present this list (although, given their preternatural persistence, a flamethrower might be more appropriate).

Watch out, any one of them may well be coming to a CPD near you sometime soon…

Nein-stein No. 1

Everyone is a genius. But if you judge a fish by its ability to climb a tree, it will live its whole life believing that it is stupid.

This, according to Quote Investigator [QI 1], was first attributed to Einstein as recently as 2004. The original allegory about animals attending a school and being judged against inflexible criteria, can be traced back to physicist Amos E. Dolbear who published it under a pseudonym in 1898.


Nein-stein No. 2

Everything is energy and that’s all there is to it. Match the frequency of the reality you want and you cannot help but get that reality. It can be no other way. This is not philosophy. This is physics.

Philosophy this gem certainly isn’t. Sadly, it bears no relation to any recognisable form of Physics either. (“Pass the bag labeled ‘New Age Quantum Claptrap’ please, Alice.”)

The original form of this quotation was penned by special effects artist Darryl Anka in 1998 — forty years after Einstein had shuffled off this mortal coil (or, at least, had become significantly less ordered).

Incidentally, Anka never attempted to attribute this thought to Einstein. In fact, he claimed that it had been obtained via “trans-dimensional channelling” from an extraterrestrial entity named “Bashar”. [QI 2]


Nein-stein No. 3

Two things inspire me to awe: the starry heavens and the moral universe within.

A beautiful quote, but Einstein? Naaaah. From Immanuel Kant’s Critique of Practical Reason (1788), actually. Highbrow enough for ya? [Ref 1]


Nein-stein No. 4

The definition of insanity is doing the same thing over and over and expecting different results.

Not Einstein. Not Benjamin Franklin. Not Rita Mae Brown either. The earliest instance tracked down by Wikiquote was from a Narcotics Anonymous publication from 1981.


Nein-stein No. 5

Two things are infinite: the universe and human stupidity. Actually, I’m not sure about the universe.

Einstein may or may not have said this, but the only evidence we have is from the works of therapist Frederick S. Perls, who credited the quote to a “great astronomer” in a book published in 1947. In later works, Perls specifically named Einstein as the originator of the quote which was said during a personal meeting with Perls. However, Perls did present different versions of the statement over the years. [QI 3]

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Engelmann and Direct Instruction (Part 5)

‘Sunlight’s a thing that needs a window
Before it enter a dark room.
Windows don’t happen.’

— R. S. Thomas, “Poetry For Supper”

For this post, I have decided to dispense with the abstract logic-chopping of some of the earlier posts in this series. (Although, I confess, I am quite partial to a nice bit of abstruse ratiocination now and again — in moderation, of course.)

Instead, I want to focus on what a teaching sequence using the principles outlined by Engelmann would actually look like in practice.

 
Some Basics

Firstly, the designer must have an expert-level understanding of the content to be taught.

[If] we are to understand how to communicate a particular bit of knowledge (such as knowledge of the color red, or knowledge about the operation of square root), we must understand the essential features of the particular concept that we are attempting to convey. [1]

The analysis of the knowledge system assumes that the designer will be able to create efficiency in what is to be taught if the designer understands the technically relevant details of the content that is to be taught. [2]

Secondly, a Direct Instruction sequence should be efficient; that is to say, it will aim to produce significant.results with the minimum effort.

The efficiency results from teaching only the skills and strategies that are necessary, and from designing strategies that apply to large segments of what is to be taught, rather than small segments. [2]
The goal is simply to teach as little as possible to provide thorough coverage of the content.[3]

Thirdly, there is no single “royal road” for Direct Instruction: two designers may map out entirely different routes while still being consistent with the guiding principles of D.I.:

[T]his efficiency does not imply general strategies for teaching something like beginning reading, critical analysis, or pre-algebra. As also noted, there is no single right way to achieve this efficiency; however, there are ways that are more efficient than others. [3]

 

Order and Efficiency

The guiding principles for ensuring efficiency are as follows:

[A]rrange the order of introduction of things to be taught for a particular topic or operation so that the more generalizable parts are taught first, and the exceptions or details that have limited application are introduced later. [3]

[However each] exception must be taught because if it is ignored, the learner may not learn it. [4]

The most efficient arrangement is to teach something and then [practice and review it] at a high rate.. . . Once taught, the operation should be used regularly. [5]

When a teaching sequence is developed using these principles, it may look very different from more familiar teaching sequences. For example, in a sequence for teaching basic fractions developed by Engelmann, the terms “top number” and “bottom number” rather than “numerator” and “denominator” were used.

The rationale for not using the “technical terms” is that they do not facilitate the instruction in any way, and they logically complicate the teaching by introducing a discrimination that is irrelevant to understanding fractions. [6]

Carnine and Engelmann argue that this allows learners to focus on what the numbers do rather than on what they are called. They are very insistent, however, that the correct technical terms will be taught — but not necessarily at the beginning as in a standard course.

This has led to some teaching sequences that are significantly different from the ones that most teachers are familiar with. Carnine and Engelmann comment that:

The point is that something may look quite simple but requires significant care in teaching, while something else (like the fraction relationship) may appear to be quite abstract but is quite easy to teach. The difficulty of what is taught is judged by the performance of students who are learning the material. [7]

Since D.I. courses seek to group together irregularities that are irregular in similar ways, Carnine and Engelmann say that this

. . . results in efficiency, but it may create a set of examples that are traditionally not grouped together. [8]

 

Thinking Into Doing

A maths teacher friend challenges a student who is intimidated by some difficult new learning with the question “Tell me what’s the most difficult thing that you’ve ever learned how to do?”

In my friend’s opinion, the most difficult thing that most people have learned is how to walk. He then goes on to assure the worried student that the same techniques that allowed her to learn to gad about on two feet from an early age will serve her well in maths (e.g. not giving up after the first fall, not minding looking a bit silly at times, learning from your mistakes, and so on).

I think it’s a nice analogy that can help students, and I’ve shamelessly lifted this tactic from him. However, as Carnine and Engelmann point out, learning a physical operation such as walking has one major advantage over learning all cognitive operations. The advantage is that the physical environment usually provides immediate, continuous and unambiguous feedback on physical operations.

The physical environment, when viewed as an active agent, either prevents the learner from continuing or provides some unpleasant consequences for the inappropriate action.. . . [However the] physical environment does not provide feedback when the learner is engaged in cognitive operations. . . . To build adequate communications, we design operations or routines that do what the physical operations do. The test of a routine’s adequacy is this: Can any observed outcome be totally explained in terms of the overt behaviours the learner produces? If the answer is “Yes,” the cognitive routine is designed so that adequate feedback is possible. To design the routine in this way, however, we must convert thinking into doing. [9]

Thinking Into Doing

An example of Thinking Into Doing? From Theory of Instruction (1982) location 1273

The aim of Direct Instruction is to provide a measure of immediate, continuous and immediate feedback for cognitive operations that is analogous to that provided by the physical environment for physical operations.
Another One In The Eye For Traditional Differentiation?

Direct Instruction stimulus material is meant to be carefully designed so as to be logically unambiguous. It should generate one — and only one — inference for all learners. This means that as long as students respond correctly to the material, we can assume that both high and low performers have learned the same inference:

The major difference between higher and lower performers is the rate at which they learn the material, not the way they formulate inferences. This difference does not support designing one sequence for higher performers and another for lower performers, but rather providing more repetition and practice for the lower performers. [10]

I don’t know about you, but to me this sounds absolutely great. If I may borrow a phrase from my fellow blogger, The Quirky Teacher: who’s with me?

 

Links

To access the previous blogposts in this series, click on the links:

Part 1    Part 2     Part 3     Part 4

 

References

[1] Carnine, D. and Engelmann, S., Theory of Instruction: Principles and Applications (1982), Kindle location 299

[2] Carnine, D. and Engelmann, S., Could John Stuart Mill Have Saved Our Schools? (2011), Kindle location 610

[3] 2011 loc 640

[4] 2011 loc 678

[5] 2011 loc 671

[6] 2011 loc 648

[7] 2011 loc 671

[8] 2011 loc 685

[9] 1982 loc 1319-1348

[10] 2011 loc 719

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Filed under Direct Instruction, Education, Siegfried Engelmann

Engelmann and Direct Instruction (Part 4)

Much is due to those who first broke the way to knowledge, and left only to their successors the task of smoothing it.

— Samuel Johnson, A Journey To The Western Isles Of Scotland (1775)

In 1982 Siegfried Engelmann and Douglas Carnine published their Theory of Instruction. This was some 300 years after Newton started the scientific revolution by publishing his Principia; and some 70 years after Russell and Whitehead in the Principia Mathematica attempted to show that the entirety of mathematics could be derived from the laws of logic (famously taking 300 pages to prove that 1+1=2).

In short, Engelmann and Carnine were attempting to start an educational scientific revolution. They wanted to replace the traditional liberal arts foundation of educational theory with a rigorously logical scientific foundation. Their Theory of Instruction is quite simply nothing less than an attempt to write a Principia Pedagogica.

Towards a 'Principia Pedagogica'?

Effective instruction is not born of grand ideas or scenarios that appeal to development or love of learning. It is constructed from the logic and tactics of science.

— S. Engelmann and D. Carnine, Could John Stuart Mill Have Saved Our Schools? Kindle edition, location 1944

In the opening section of the T.O.I., Carnine and Engelmann argue that human beings learn primarily, and in fact literally, from the power of example.

[Learners have the] capacity to learn any quality that is exemplified through examples (from the quality of redness to the quality of inconsistency) . . . This mechanism . . . is capable of learning qualities as subtle as the unique tone of a particular violin or qualities that involve the correlation of events (such as the relationship of events on the sun to weather on the earth).

— S. Engelmann and D. Carnine, Theory of Instruction: Principles and Applications, Kindle edition, locations 365-383

To this end, they propose a simplified (or minimalist, if you will) two step mechanism of how human beings learn:

The first step of the proposed learning mechanism is the presentation of a range of examples. For instance, to explain the concept of “red” an instructor would present examples of red objects; to explain the concept of “conservation of volume”, she would present instances of (say) a fixed volume of liquid being poured into containers of varying shapes.

The second step of the learning mechanism is when the learner mentally constructs a valid generalisation, or mental rule about the qualities or features common to the examples presented. Carnine and Engelmann argue that human beings naturally and immediately attempt to generalise or form such rules when presented with any new information.

Table

From: T.O.I, Kindle loc 399

They do not attempt to argue that the whole of human behaviour can be reduced to this simple two step mechanism, but merely that by accepting this simple model, one “can account for nearly all observed cognitive behaviour” (T.O.I. Kindle loc 375)

Note that the first step is about what is to be learned, and the second step is about how it is learned.

In Carnine and Engelmann’s view, the first step is the responsibility of the instructor. The planning should focus on a rigorous logical analysis of the concept that is to be taught, and should not include any consideration of the likely behavioural response of the learner (e.g. whether she will find it “fun”).

The only factor that limits the learner . . . is the acuity of the sensory mechanism that receives information about [the concept]. (T.O.I. Kindle loc 380-1)

The second step is within the purview of the learner. However, this is also the point at which the instructor would use behavioural analysis to ascertain

. . . the extent to which the learner does or does not possess the mechanisms necessary to respond to the . . . presentation of the concept. [Then one should design] instruction for the unsuccessful learner that will modify the learner’s capacity to respond to the . . . presentation. This instruction is not based on a logical analysis of the communication, but on a behaviour analysis of the learner. (T.O.I. Kindle loc 348-352)

Teachers will, of course, be aware that this is not how we do things in our current educational system, especially as far as the standard techniques of differentiation are concerned.

Are Carnine and Engelmann correct? I’m not sure, but I find their ideas fascinating. Looking at them through the lens of my experience, I would go so far as to say that, intuitively at least, they appear to have the copper-bottomed “ring of truth” (as Richard Ingrams used to say) about them. At the very least, they are deserving of further study and attention.

Part 1 of this series can be found here.

 

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The Joy of a Cheese Sandwich

O tempora, o mores!

What times! What customs!

— Cicero

We are all orthorexics now.

Or so it would seem, at least to me. Orthorexia is the obsession with eating foods that the individual considers ‘healthy’. When I started teaching, a typical teacher’s packed lunch consisted of a sandwich, an apple and a packet of crisps. This was such a common combination that I remember one wag saying that such unthinking adherence to culinary group-think would even have brought joy to the heart of Josef Stalin.

But now — oh my goodness me! What times! What customs! What a huge selection of weird and wonderful Tupperware!

And the food! Growing up in North Wales in the 70s, I’m sure that the majority of food being ingested in our staff room would not have been available in most supermarkets. Perhaps not even in Llandudno ASDA where my parents, cosmopolitan souls that they were, would venture every now and again to buy exotic packets of VESTA dried foods.

But enough of Vesta packets (my favourite was the Beef Risotto, especially eaten as a sandwich), what kind of modern foods am I talking about? Examples would be Black Lentil and Aubergine Stew (“Because black lentils are so much more nutritionally dense than your everyday red lentils, darling!”), Kale and Lemon with Giant Couscous Salad or Smoked Mackerel Pilaf.

Oh lordy, it’s enough to make a chap self-conscious about his cheese sandwich, apple and packet of crisps. Except . . . the way I look at it is: food is food. The human organism is evolved to ingest any old random crap that either can’t or doesn’t run away fast enough and turn it into, well, human-stuff: snot, phlegm, fingernails parings, earwax and so on. A human being can survive for a surprisingly long time on “empty” calories, provided that a few trace nutrients are also present (“Scurvy, anyone?”).

What I do find strange about the now almost universal orthorexic mindset is the attribution of near magical properties to food-stuffs, especially the less familiar and exotic ones.The power of a secretary of state of education seems as nothing compared to that of Jamie Oliver.

That said, there is cause for concern in the amount of processed sugar consumed by youngsters and well, everyone else actually. But I cannot help but feel that there is a strong element of public performance, and perhaps even “nutritional virtue signalling”, in the eating patterns of many adults today.

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    The F.B.I. and Gang Signs for Physicists

    Those notions which are to be collected by reason . . . will seldom stand forward in the mind, but lie treasured in the remoter repositories of memory, to be found only when they are sought.

    — Samuel Johnson, The Rambler, 7 April 1759

    Sir John Ambrose Fleming (1849-1945) was the inventor of the thermionic valve, devices that formed the glowing (literally!) and pulsing heart of most electronic circuits until the invention of the transistor in the 1960s and the dawn of the Age of Semiconductors.

    His part in most GCSE and A-level courses is small in extent but of significant and perhaps under acknowledged importance: he is the original framer of Fleming’s Left Hand Rule and Fleming’s Right Hand Rule. These respectively predict the direction of the force produced on a current-carrying conductor in a magnetic field (left hand) and the direction of induced current flow when a conductor cuts magnetic field lines (right hand). In short, they summarise the physics of everything from the humble electric motor to the Large Hadron Collider via the rail gun; not to mention the giant spinning generators that produce the humming electrical essence that powers our civilisation.

    To use the rules, hold your thumb and first two fingers at right angles to each other. I tell my students that the left hand rule and right hand rule are physicists’ gang sign — it’s not too great a stretch of the imagination, at that. If you have ever invigilated a Physics exam, you can tell the point when the students have reached the Fleming’s Left/Right Hand Rule question . . . just look at their hands!
    image

    But I digress. I began this post because I was taught the following mnemonic for FLHR:

    And to be honest, I have passed it on without thinking too hard about it. However, a student recently introduced me to the F.B.I. Mnemonic. Start with your thumb and say “F for force”, first finger and say “B for B-field” and then second finger and say “I for current”.

    The great advantage of this is that F, B and I are the standard physical symbols for the quantities they represent, unlike the multistage hoop-jumping demanded by the traditional mnemonic.

    I don’t know about you, but I think I will be using the FBI mnemonic from now on (which, incidentally, was developed by Robert Van De Graaff (1901-1967), of Van De Graaff generator fame).

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    The Renaming of Parts; or, Energy is the New Orange

    image

    A PC approach to energy?

    Neil Atkin recently wrote a fascinating post about the “New” approach for teaching the concept of energy to secondary school students, and provides some interesting commentary and some very useful links: go read!

    I first came across the work of Ogborn and Boohan, on which much of the “New Approach” is based, in the 1990s. I remember embracing it enthusiastically. However, I subsequently returned to the more “traditional” kinetic-chemical-heat-potential-light-sound “naming of parts” model, mostly because many of the resources favoured by our students followed the older convention.

    And so it has remained for a number of years, so I was all set to give the “New Approach” a proper rubbishing (as might be gleaned from my selection of the Gary Larson cartoon above) as a specious form of PC — physical correctness as opposed to political correctness, perhaps.

    But as I read more about the “New Approach”, I gradually came to the conclusion that it is conceptually sound. More importantly, I think it follows one of the basic principles suggested by Engelmann and Carnine:

    [I]f we are to understand how to communicate a particular bit of knowledge . . . we must understand the essential features of the particular concept that we are attempting to convey. Only if we understand what it is and how it differs from related concepts can we design a communication that effectively conveys the concept to the learner.
    The Theory Of Instruction, location 296

    In other words, I think the “New Approach” is a more accurate representation of the physics of energy, and less likely to lead to misconceptions and false inferences.

    Energy Is The New Orange

    image

    Pure Orange; or energy as a quasi-material entity

    Read Dr Dav’s excellent blog post from 2013 for a clear summary of the arguments in favour of the New Approach, as well as Robin Millar’s excellent paper on the topic.

    Rise of the Enoji

    One of the suggestions made in the IOP’s Energy 11-14 is to use ideograms or icons to represent different energy stores.

    image

    Rise of the Enojis

    By analogy with the ubiquitous ’emojis’ I suggest that we should call these energy icons Enojis. Who knows, it could just catch on…

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    Filed under Physics, Science, Siegfried Engelmann

    P is for Progressive, T is for Traditionalist, Z is for Zealot

    The change of religion in Scotland, eager and vehement as it was, raised an epidemical enthusiasm, compounded of sullen scrupulousness and warlike ferocity, which, in a people whom idleness resigned to their own thoughts, and who, conversing only with each other, suffered no dilution of their zeal from the gradual influx of new opinions, was long transmitted in its full strength from the old to the young . . .
    — Samuel Johnson, A Journey To The Western Islands Of Scotland [1775]

    Old Andrew writes of a recent case in Scotland where a teacher was barred from teaching for two years because, for example, she “did not refer to success criteria” and “failed to recap the learning intentions at the end of the lesson”(!)

    Well, to some extent I have been there, done that and got the t-shirt. I have been on the receiving end of the ‘support’ that doesn’t feel particularly supportive. However, it has never reached the disciplinary stage; in part, I suppose, because I learned to ‘play the game’ and stick in a few card sorts and the like. Teacher, know thou thy observer!

    But I feel I have known what might be termed the “epidemical enthusiasm” of True Believers in the now defunct ‘Axis of Old-style-Ofsted’ model. And, yes, there was indeed a time when it seemed that many who favoured that model conversed “only with each other” and that there was no hope of any dilution of their zeal.

    It is depressing to think that these discredited ideas still hold sway in parts of our education system.

    That said, it seems to me that this is not automatically a consequence of progressive ideals; rather, it seems to me a consequence of a totalitarian mindset — an inability to trim one’s ideological sails to the winds of empirical reality, especially when one is in a position of power or authority.

    And that, I think, is something that each of us — Positive Traditionalist* or Positive Progressivist* alike — needs to guard against.

    *See @heymisssmith’s excellent post for further explanation of what I think is a useful expansion of the traditionalist vs. progressivist terminology.

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