A ‘pre– and post– test’ at age two would have missed them”

This book is an exer­cise in an applied genetic epis­te­mol­ogy expanded beyond Piaget’s cog­ni­tive empha­sis to include a con­cern with the affec­tive. It devel­ops a new per­spec­tive for edu­ca­tion research focused on cre­at­ing the con­di­tions under which intel­lec­tual mod­els will take root. For the last two decades this is what I have been try­ing to do. And in doing so I find myself fre­quently reminded of sev­eral aspects of my encounter with the dif­fer­en­tial gears. First, I remem­ber that no one told me to learn about dif­fer­en­tial gears. Sec­ond, I remem­ber that there was a feel­ing, love, as well as under­stand­ing in my rela­tion­ship with gears. Third, I remem­ber that my first encounter with them was in my sec­ond year. If any “sci­en­tific” edu­ca­tional psy­chol­o­gist had tried to “mea­sure” the effects of this encounter, he would prob­a­bly have failed. It had pro­found con­se­quences but, I con­jec­ture, only very many years later. A “pre– and post-” test at age two would have missed them. (Papert, 1980, pp. vii-viii); empha­sis in original

As I begin my odyssey into the comps process, I’ve tried to start at a use­ful begin­ning: the writ­ings of Sey­mour Papert. Papert’s 1980 book Mind­storms is regarded by many—at least in the fields of edu­ca­tion and learn­ing sciences—as a clas­sic on how chil­dren learn with com­put­ers. In the begin­ning of the book he describes being curi­ous about gears as a child and how that curios­ity helped him build his own per­sonal ways of know­ing about math­e­mat­ics. What I’d like to do in this post is take apart some of the asser­tions Papert makes in the above-quoted pas­sage, which is excerpted from the book’s fore­word: “The Gears of My Childhood.”

First, Papert calls his book an “exer­cise in an applied genetic epis­te­mol­ogy.” But, what does he mean by genetic epis­te­mol­ogy? For that mat­ter, if there is an “applied” kind of genetic epis­te­mol­ogy, could there be another kind? Let’s step back for just a moment. The phrase “genetic epis­te­mol­ogy” itself traces as far back at least as Jean Piaget, with whom Papert worked for sev­eral years. In a pre­vi­ous para­graph, Papert writes:

I was devel­op­ing a way of think­ing that would be res­o­nant with Piaget’s. The under­stand­ing of learn­ing must be genetic. It must refer to the gen­e­sis of knowl­edge. What an indi­vid­ual can learn, and how he learns it, depends on what mod­els he has avail­able. This raises, recur­sively, the ques­tion of how he learned those mod­els. Thus, the “laws of learn­ing” must be about how intel­lec­tual struc­tures grow out of one another and about how, in the process, they acquire both log­i­cal and emo­tional form. (Papert, 1980, p. vii; empha­sis in original)

I think Papert’s sum­mary of genetic epis­te­mol­ogy is clear enough for now, though I’ll add one his­tor­i­cal and inter­pre­tive note. In my under­stand­ing of Piaget—an under­stand­ing based on admit­tedly brief slice of the man’s work: his 1970 arti­cle on his own theory—what Piaget sought was an expla­na­tion for where knowl­edge comes from. Specif­i­cally, he wanted to know where struc­tures of knowl­edge come from. Most schol­ars I’ve talked to who study Piaget argue that his train­ing in both biol­ogy and phi­los­o­phy deeply influ­enced his search for how struc­tures of knowl­edge come to be. In short, if there is some base struc­ture (viz. DNA) that co-directs how phys­i­cal bio­log­i­cal struc­tures (arms, eyes, hurty parts on insects) emerge and develop, might one not also search for the epis­te­mo­log­i­cal devel­op­men­tal struc­tures that co-direct how knowl­edge (and its forms) develop. That, in one wordy sen­tence, is my nut­shell read of the rel­e­vant Piaget bits for this dis­cus­sion. Back to Papert.

both log­i­cal and emo­tional form”

Piaget’s orig­i­nal work—summarized in his 1970 arti­cle—sketches a pos­si­bil­ity for the gen­e­sis of the log­i­cal forms of knowl­edge humans develop. It is, rather chiefly, con­cerned with struc­tures respon­si­ble for our abil­i­ties to rea­son about quan­ti­ties, forms, and con­ser­va­tion. But it’s not about emo­tion. Piaget didn’t attempt to explain how it feels to rea­son about coins and flu­ids. Piaget also doesn’t address the role of emo­tion in the build­ing of cog­ni­tive structures.

Papert, in defense of Piaget, sug­gests Piaget was far from igno­rant about the whole thing. Below, he argues that Piaget wasn’t blind to the role of emo­tion in assim­i­la­tion—assim­i­la­tion being Piaget’s word for how we graft new knowl­edge, in light of expe­ri­ence, to our cur­rent cog­ni­tive struc­tures. Below, Papert explains:

[Piaget] talks almost entirely about cog­ni­tive aspects of assim­i­la­tion. But there is also an affec­tive com­po­nent. Assim­i­lat­ing equa­tions to gears cer­tainly is a pow­er­ful way to bring old knowl­edge to bear on a new object. But it does more as well. I am sure that such assim­i­la­tions helped to endow math­e­mat­ics, for me, with a pos­i­tive affec­tive tone that can be traced back to my infan­tile expe­ri­ences with cars. I believe Piaget really agrees. As I came to know him per­son­ally I under­stood that his neglect of the affec­tive comes from a mod­est sense that lit­tle is known about it than from an arro­gant sense of its irrelevance.

Through­out the fore­word, Papert argues that his own expe­ri­ence with gears wasn’t just knowledge-building. Rather, his inter­ac­tion with gears became a form of emo­tional knowl­edge build­ing. For me, it’s dif­fi­cult to dis­agree with Papert. Affect, knowledge-building, and knowledge-use are inter­con­nected to far too high a degree. If, for exam­ple, I think about a poem excerpt, I think both of how I felt when I read it, how read­ing it changed the way I read poetry, and how that resul­tant change gave me the con­fi­dence to keep read­ing poetry. At the Hon­ors Con­vo­ca­tion cer­e­mony of my col­lege grad­u­a­tion, my men­tor read to us a poem called “At The Bor­der” by Carl Den­nis. The poem begins:

At the bor­der between the past and the future
No sign on a post warns that your pass­port
Won’t let you return to your native land
As a cit­i­zen, just as a tourist

I was astounded. I was moved. I had never before thought of my grad­u­a­tion experience—or of any part of mov­ing on in life—in the plain­spo­ken yet pro­found way the poem sug­gested. But there I was, iron­i­cally, at the bor­der, and being para­dox­i­cally warned for that brief moment in time that no sign would let me know I couldn’t come back.

The expe­ri­ence stuck with me. I’ve remem­bered the poem, but also the expe­ri­ence of try­ing to make sense of it. I’ve also remem­bered to keep try­ing; to look for new poetic expe­ri­ences. I think that’s what Papert’s after when he talks about the impor­tance of the emo­tional in build­ing knowl­edge forms. It’s about much more than being happy when one learns; it’s about rec­og­nized that the feel­ings we have as we learn become part of the matrix of what we learn, and how that knowl­edge con­tin­ues to inte­grate as we move for­ward with new experiences.

cre­at­ing the con­di­tions under which intel­lec­tual mod­els will take root”

This is what we’re all about. If learn­ing derives from mod­els, and we build mod­els in part with and around emo­tional expe­ri­ences, then under­stand­ing “the con­di­tions under which intel­lec­tual mod­els will take root” might well be the most impor­tant ques­tion we strive to answer with research on learning.

Except I think it’s easy to get dis­tracted. It’s easy to think that what Papert means as “con­di­tions” are things like how we build our schools, how we design our lessons, and what tech­nol­ogy is (or isn’t) avail­able. But those are mate­r­ial con­di­tions. To me, they’re a sub­set of all the things we could think about when we mean conditions.

Again, let’s revisit Papert’s (1980, pp. vii-viii) three asser­tions in the orig­i­nal quote, para­phras­ing where needed to make the point:

  1. No one told me to learn about dif­fer­en­tial gears
  2. I felt a feel­ing, love, as well as an under­stand­ing in my rela­tion­ship with gears
  3. I was two; a pre– post– test at the time was hardly an option to mea­sure my learning

Point 1 isn’t about mate­r­ial con­di­tions at all, really. If any­thing, it’s about the lack of externally-imposed con­straints. Point 2, on which I elab­o­rated quite a bit, seems to say that emo­tion is as much a build­ing mate­r­ial in constructivism/constructionism as is any knowl­edge or sen­sory ele­ment. Point 3? We can have mean­ing­ful expe­ri­ences with the world that many of the research meth­ods we deploy in edu­ca­tion would fail to capture.

Ref­er­ences

Den­nis, C. (2007). Unknown Friends. New York: Pen­guin Books. Retrieved from http://lccn.loc.gov/2006050716

Papert, S. (1980). Mind­storms: Chil­dren, Com­put­ers, and Pow­er­ful Ideas. New York: Basic Books. Retrieved from http://lccn.loc.gov/79005200

Piaget, J. (1970). Piaget’s The­ory. In P. H. Mussen (Ed.), Carmichael’s Man­ual of Child Psy­chol­ogy (3rd ed., Vol. 1, pp. 703–732). New York: Wiley. Retrieved from http://lccn.loc.gov/69016127

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Beginning work on epistemological dynamics in programming

I’m prepar­ing for my com­pre­hen­sive exam­i­na­tions (comps), which are essen­tially three in-depth essays writ­ten and revised under the direc­tion of a fac­ulty mem­ber. My sec­ond comp is actu­ally my work on a sta­tis­ti­cal graph­ics pack­age called gra­nova, but I’ll be dis­cussing that sub­ject in another post. Here, I want to talk about my third comp, which will hope­fully become the spring­board to a dis­ser­ta­tion proposal.

If I’m doing my job right, this post will grow into a much larger series of posts, and hope­fully (when well-watered, cared for, and nour­ished) a dis­ser­ta­tion. To get there, here are some of the core ques­tions I think I’ll need to address.

  1. What are epis­te­mo­log­i­cal dynam­ics? What do I mean when I’m talk­ing about epis­te­molo­gies and epis­te­mo­log­i­cal dynam­ics? What does that idea do as a tech­ni­cal construct?
  2. Where do epis­te­mo­log­i­cal dynam­ics come from? What’s their gen­e­sis as a research con­struct? More to the point, what do they allow us to explain and predict?
  3. Why do epis­te­mo­log­i­cal dynam­ics mat­ter for learn­ing to pro­gram? This has to go beyond sim­ply argu­ing that “they mat­ter.” Many, many things affect the ways indi­vid­u­als learn to pro­gram. The sub­ques­tions here sur­round how we can use the study of epis­te­mo­log­i­cal dynam­ics in programming?
    1. Can they push research efforts for­ward, illu­mi­nat­ing erst­while unseen problems?
    2. Can they push the the­o­ret­i­cal dis­cus­sion for­ward, explain­ing the oth­er­wise un– or underexplained?
    3. Finally, can they inform ped­a­gogy? Can epis­te­mo­log­i­cal dynam­ics help us craft edu­ca­tional expe­ri­ences around pro­gram­ming that attract, retain, and empower students?

As part of my work prepar­ing for the 2011 Inter­na­tional Com­put­ing Edu­ca­tion Research Con­fer­ence (ICER), I’ll be work­ing through a pre­sen­ta­tion that tries to flesh out these issues. The goal there is to craft a form of these dis­ser­ta­tion ideas that con­fer­ence atten­dees can cri­tique. Keep your eyes on the blog as I con­tinue to expand my ideas and hope­fully tackle—or refine—the above roadmap of questions.