intuition ip lab · m 2d n coils 3 m d will the spring on the right stretch more, less, or the same...

P R O D U C T I V E P H Y S I C A L I N T U I T I O N S A B O U T P A T T E R N S O F M O T I O N

Be n e d i k t W. H a r r e r & V i r g i n i a J . F l ood

E L I C I T I N G A N D R E F I N I N G I N T U I T I O N S W I T H B R E A C H I N G A R T I F A C T S

PI/IP LABproductive interactions and ideas in physics

with special thanks to Andrea A. diSessa

I N T U I T I O Nnoun in·tu·i·tion \ˌin-tü-ˈi-shən\

2

quick and ready insight

immediate apprehension or

cognition

http://www.merriam-webster.com/dictionary/intuition


2



cognition



2


cognition




2


cognition



Dewey (1886): Every act of mind involves relation, …

dependence, … [and] mediation. Intuition must be defined to include

this factor.Dewey, J. (1886). Psychology. Harper & Brothers. New York, NY.

3

m

d

WILL THE SPRING ON THE RIGHT STRETCH MORE, LESS, OR THE SAME

AMOUNT UNDER THE SAME WEIGHT?

P H Y S I C A L I N T U I T I O N S A B O U T S P R I N G S

Clement, J. (1994). Imagistic simulation and physical intuition in expert problem solving. In Proceedings of the 16th annual conference of the Cognitive Science Society, 201-206.

n coils

m

2d

n coils

3

m

d





n coils

m

2d

n coils

You don’t have to know any formulas to see that … God

almighty! Of course it goes way down. You know. How could it do

otherwise?

3

m

d





n coils

m

2d

n coilsMy intuition about that is that if you took the same wire that was fastened on the left here and

doubled the length ..that ..it would bend considerably farther.

l 2l

R E F I N I N G P H Y S I C A L I N T U I T I O N S B Y E X A M I N I N G I D E A S A B O U T T H E W O R L D

diSessa, A. A. (1993). Toward an Epistemology of Physics. Cognition and Instruction, 10(2–3), 105–225. Elby, A. (2001). Helping physics students learn how to learn. American Journal of Physics, 69(S1), S54–S64. http://doi.org/10.1119/1.1377283 Hammer, D., & Elby, A. (2003). Tapping Epistemological Resources for Learning Physics. The Journal of the Learning Sciences, 12(1), 53–90.

4diSessa, A. A. (1993). Toward an Epistemology of Physics. Cognition and Instruction, 10(2–3), 105–225.

Elby, A. (2001). Helping physics students learn how to learn. American Journal of Physics, 69(S1), S54–S64. http://doi.org/10.1119/1.1377283 Hammer, D., & Elby, A. (2003). Tapping Epistemological Resources for Learning Physics. The Journal of the Learning Sciences, 12(1), 53–90.

5

R E F I N I N G (DISCIPLINARY) I N T U I T I O N S B Y M A K I N G T H E F A M I L I A R S T R A N G E

G A R F I N K E L ’ S B R E A C H I N G E X P E R I M E N T S N O T I C E T H E S E E N B U T U N N O T I C E D A B O U T T H E S O C I A L W O R L D

Garfinkel, H. (2002). Ethnomethodology's program: Working out Durkheim's aphorism. Rowman & Littlefield Publishers. Chicago, IL. 6

SIT OVER THERE.

7Swanson, H. L. (2015). Leveraging students' prior knowledge in attaining deep structural understanding of domain general models, ProQuest Dissertations & Theses (Order No. 3720852).

B R E A C H I N G E X P E R I M E N T S I N P H Y S I C S N OT I C E T H E S E E N B U T U N N OT I C E D A B O U T T H E P H Y S I C A L W O R L D

7Swanson, H. L. (2015). Leveraging students' prior knowledge in attaining deep structural understanding of domain general models, ProQuest Dissertations & Theses (Order No. 3720852).

W E I G H T E D W H E E L F O R R E F I N I N G I N T U I T I O N S A B O U T M O T I O N

Andrea A. diSessa

8

WEIGHTED WHEEL AS BREACHING ARTIFACT: ELICITING AND REFINING PHYSICAL INTUITIONS

Claire

Denise Aaron Bruce

8


Claire

Denise Aaron Bruce

8


Claire

Denise Aaron Bruce

?“couple inches”

Predict!

P H Y S I C A L I N T U I T I O N S A B O U T T H E M O T I O N O F T H E W E I G H T E D W H E E L

9

I have a feeling when we put it on the piece of wood and we lift it up, it’s

gonna stay for a while.


9



Cuz it’s heavy? And friction? I

have n- that’s all I know about physics. Something about

friction.


9





friction.

ºCuz the center of mass isn’t in

the center.º

And friction?


9





friction.

ºCuz the center of mass isn’t in

the center.º

And friction?


• intuition report• self-evaluated• explanation unnecessary• modest generality• oriented to concrete objects


10

Would it not move? Physics! Will

it move?

5 minutes later


10

It depends on how

heavy the [pause] wheel is.

5 minutes later

POW!

That’s- was a loud sound, so I am guessing it's

quite heavy.


11

Oh my god you know: m g sin(θ). We could

try it that way.


12

?

FfrictionFgravity Fgravity

Fgravity

Ffriction

MASS!!! “only a couple inches”


13

I think in this case though, it's more than just mass, we have to deal with like rotational inertia and

stuff. If it was just like a block--


13

--it would be very different than like this where

it's gonna tilt to one side and I know absolutely nothing about the

rotational part of physics


14

Yeah like you were saying the center of mass, right? It's not evenly- the

mass isn't equally distributed throughout the whole wheel.


14

If we put it so that wasn't on the bottom, would it more likely roll?

Cuz then it wants to put the heavy thing on the bottom, right?


15


15

?

C O N C L U S I O N S : B R E A C H I N G A R T I F A C T S

16

• elicit learners’ intuitions about the physical world by making seen-but-unnoticed features salient

• provide productive context for collaboratively examining those intuitions and refining them

• by themselves may not be enough

intuition ip lab · m 2d n coils 3 m d will the spring on the right stretch more, less, or the same...

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