AREAS OF KNOWLEDGE:
THE ARTS

IMAGINATION WITH CONSTRAINTS

A vivid imagination allows us to envision or mentally rehearse future possibilities.

Albrecht Dürer (1515) Rhinocerous. Print from woodcut.The woodcut is not entirely a product of Dürer's imagination. It was based on a written account and brief sketch of a single specimen brought to Lisbon. It was thought to be a unicorn at first. T…

Albrecht Dürer (1515) Rhinocerous. Print from woodcut.

The woodcut is not entirely a product of Dürer's imagination. It was based on a written account and brief sketch of a single specimen brought to Lisbon. It was thought to be a unicorn at first. The King of Portugal eventually offered it to the Pope as a gift.

CLASS ACTIVITY I: ARTISTIC IMAGINATION

Get things started by projecting the Dürer, Doré, Rousseau and Bosch images and showing the Wagner video. Spend some time on the handwritten Mozart score and the associated talking points. This should unleash some lively whole class conversation about the power of exceptional artistic imagination. Be open to any spontaneous additional examples and insights offered by the students. 

The Robert Frost quote is a foreshadowing of the second class activity which moves beyond the role of imagination in the arts to selected academic disciplines and the CAS experience.

Wordsworth's Nuns Fret Not at Their Convent's Narrow Room first should be read in silence; then read aloud to the whole class by a strident volunteer. Printable pdf. A few students may recognize the sonnet form; and (perhaps with some prompting) be able to outline the sonnet structure with its 14 lines, strict meter (in this case three quatrains and a couplet) and prescribed rhyming patterns. Invite students to mark up the end of the lines of the poem with the letters a, b, c and d to discern the precise rhyme scheme. 

"A world of disorderly notions, picked out of his books, crowded into his imagination"Don Quixote by Miguel de Cervantes illustrated by Gustave Doré. Plate 1.

"A world of disorderly notions, picked out of his books, crowded into his imagination"

Don Quixote by Miguel de Cervantes illustrated by Gustave Doré. Plate 1.

It is astonishing to think that Mozart wrote most of his original scores by hand in one take without corrections. And to think that the marks on the score consists of a few milligrams of ink sitting precariously on a finely textured paper surface! T…

It is astonishing to think that Mozart wrote most of his original scores by hand in one take without corrections. And to think that the marks on the score consists of a few milligrams of ink sitting precariously on a finely textured paper surface! The creative imagination of course, is in the patterned arrangement.

And, how strange to ponder that, at the sub-microscopic level of atomic physics, the sepia ink marks do not even touch the paper surface! Multitudes of identical vibrating atoms in the ink seem to hover above those of the cellulose-based paper. The buffeting is caused by the repulsion of electron clouds of adjacent atoms.

The score is a code. Mozart could hear the piece in his head. For lesser mortals it only comes alive when performed by trained musicians.

And here is a final thought...How can quasi-mathematical, patterned puffs of air, gently pummeling the elastic tympanic membranes of a smart, self-aware ape species, directly evoke emotion… sometimes very strong emotions: like nostalgia or patriotism, or even the sublime?

Photo: British Library

Henri Rousseau (1910) The Dream. Oil on canvas Museum of Modern Art, New YorkRousseau made 25 jungle paintings in his untrained, primitive style. He was a government customs officer and never left France or saw a jungle with his own eyes. He visited…

Henri Rousseau (1910) The Dream. Oil on canvas Museum of Modern Art, New York

Rousseau made 25 jungle paintings in his untrained, primitive style. He was a government customs officer and never left France or saw a jungle with his own eyes. He visited the Jardin des Plantes museum in Paris frequently:

"When I go into the glass houses and I see the strange plants of exotic lands, it seems to me that I enter into a dream."

"I'd just as soon play tennis with the net down."

Poet Robert Frost's tart dismissal of 'free' verse: from Newsweek, January 30, 1956.

Nuns fret not at their convent’s narrow room; 
And hermits are contented with their cells; 
And students with their pensive citadels; 
Maids at the wheel, the weaver at his loom, 
Sit blithe and happy; bees that soar for bloom, 
High as the highest Peak of Furness-fells, 
Will murmur by the hour in foxglove bells: 
In truth the prison, unto which we doom
Ourselves, no prison is: and hence for me, 
In sundry moods, ‘twas pastime to be bound
Within the Sonnet’s scanty plot of ground; 
Pleased if some Souls (for such there needs must be) 
Who have felt the weight of too much liberty, 
Should find brief solace there, as I have found. 
— William Wordsworth
Hieronymus Bosch (1490-1510) The Garden of Earthly Delights. Oil on oak panels. Museo del Prado, Madrid

Hieronymus Bosch (1490-1510) The Garden of Earthly Delights. Oil on oak panels. Museo del Prado, Madrid

HORATIO
O day and night, but this is wondrous strange!

HAMLET
And therefore as a stranger give it welcome.
There are more things in heaven and earth, Horatio,
Than are dreamt of in your philosophy.
— Shakespeare's Hamlet. Act 1, Scene 5

 

CLASS ACTIVITY II:
IMAGINATION IN A TIGHT STRAITJACKET

In this activity students will work collaboratively in pairs. If possible, try to arrange the pairings so that at least one student is studying HL math, physics or chemistry. 

Begin by showing the Feynman chess analogy video. Feynman portrays brilliantly (and as always sounding straight out of Queens, New York) the scientific method pushing incrementally against real world constraints to obtain ever increasing tentative understanding.  

After the video, invite the students to make a close reading of the Feynman "straitjacket" quote. Invite them to relate this to Robert Frost's "playing tennis with the net down" encountered in the first class activity.  Follow this with Proust's "tyranny of rhyme." This should set the stage for some further exploration of imagination with constraints.  

No need to jump the gun; but students should be glimpsing the paradoxical meta-notion that rather than stifling imagination, constraints promote it!

The game I play is a very interesting one. It’s imagination, in a tight straitjacket, which is this: that it has to agree with the known laws of physics. I’m not going to assume that maybe the laws of physics have changed, so that I can design something or other. I operate as if everything that we know is true. If we’re wrong, of course, we can redesign something with the new laws later. But the game is to try to figure things out, with what we know is possible. It requires imagination to think of what’s possible, and then it requires and analysis back, checking to see whether it fits, whether it’s allowed, according to what is known,...
— No Ordinary Genius: The Illustrated Richard Feynman. Edited by Christopher Sykes. Norton, New York.
Comme les bons poètes que la tyrannie de la rime force à trouver leurs plus grandes beautés…

The tyranny of rhyme forces the good poets to find their finest lines...
— Marcel Proust, Du côté de chez Swann

At this point the main activity can be introduced.  Still working in their pairs, students should use the table provided to make bullet point notes in response to the following Knowledge Questions:

  • What is the role of imagination in this academic discipline?

  • What are some of the real world constraints in this academic discipline?

  • How do the constraints you have noted help or hinder imaginative thinking in this academic discipline?

The academic disciplines in the table are carefully selected subsets of some non-artistic Areas of Knowledge. The focus here is on expert Shared Knowledge. In setting up the activity make sure that the entire class understands the categories.  For example, Cosmology is the physics of the origin and development of the universe and would include ideas like string theory, Multiverse and the big bang.  Transfinite math sounds daunting but can be demystified by telling students that it is a special branch of math that has been invented to explore formally the strange consequences of the concept of infinity. For economic forecasting: consider, for example, the role of the Governor of the Federal Reserve who periodically sets benchmark interest rates.

Invite students to include a CAS example of their own. This will add a vivid, real world Personal Knowledge dimension.  Some mention of the interplay between imagination and constraints in, say, athletics or service learning will further enrich and ground the conversation.  Allow a full, timed 15 minutes for this activity.

Printable pdf. of table, questions and quotes. 

FOR WHOLE CLASS DISCUSSION

  • What is the role of imagination in creativity/out-of-the-box thinking?

  • Do we need mastery in a discipline before we can improvise?

  • To what extent is creativity problem solving to constraints?

  • To what extent has your own experience in being educated in certain academic disciplines stifled or helped you retain your own sense of child-like curiosity and imagination?

  • Is Memory a promoter or a constraint on Imagination?

These questions should stimulate lively whole class discussion. The final question is of special interest and provides an intriguing segue to exploring how memory impacts knowing.  After working through the two class activities students might well agree that memory is both a promoter and a constraint on imagination.  

At this point invite everyone to pause and take a deep breath.  

Only if the moment seems right, you could push the thinking one more notch, and continue with "Are Imaging and Remembering Almost the Same?" which appear under the image below.  It may be a step too far!  

If so, it can be saved until the class is ready to tackle the "Who do you think you are?" unit.

Image from Dr. Todd Girard and his team at the Brain Imaging and Memory Lab at Ryerson University, Toronto.

Image from Dr. Todd Girard and his team at the Brain Imaging and Memory Lab at Ryerson University, Toronto.

 
ARE IMAGINING AND REMEMBERING ALMOST THE SAME?

Imagination seems inextricable from memory.

Compelling evidence for this comes from brain-damaged, amnesiac patients who can no sooner relate what they will do in the future, than recall what happened just a few minutes previously. in the past Such patients appear fully aware, articulate, and quite cheerful in the present moment.

DO WE LIVE IN THE SUBJUNCTIVE?

Our lived experience feels anticipatory. 

We are always primed for action, always on a forward cognitive trajectory. We project a fictive “what if?” from a highly edited “thus far.”  As a consequence, the past and the future always seem somehow to be right there with us, constantly updated and reinvented on the fly.

To what degree can we say that we dwell in the subjunctive tense?