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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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
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
I N T U I T I O Nnoun in·tu·i·tion \ˌin-tü-ˈi-shən\
2
immediate apprehension or
cognition
quick and ready insight
http://www.merriam-webster.com/dictionary/intuition
I N T U I T I O Nnoun in·tu·i·tion \ˌin-tü-ˈi-shən\
2
immediate apprehension or
cognition
quick and ready insight
http://www.merriam-webster.com/dictionary/intuition
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
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
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
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 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
WEIGHTED WHEEL AS BREACHING ARTIFACT: ELICITING AND REFINING PHYSICAL INTUITIONS
Claire
Denise Aaron Bruce
8
WEIGHTED WHEEL AS BREACHING ARTIFACT: ELICITING AND REFINING PHYSICAL INTUITIONS
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.
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.
Cuz it’s heavy? And friction? I
have n- that’s all I know about physics. Something about
friction.
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.
Cuz it’s heavy? And friction? I
have n- that’s all I know about physics. Something about
friction.
ºCuz the center of mass isn’t in
the center.º
And friction?
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.
Cuz it’s heavy? And friction? I
have n- that’s all I know about physics. Something about
friction.
ºCuz the center of mass isn’t in
the center.º
And friction?
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.
• intuition report• self-evaluated• explanation unnecessary• modest generality• oriented to concrete objects
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
10
Would it not move? Physics! Will
it move?
5 minutes later
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
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.
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
11
Oh my god you know: m g sin(θ). We could
try it that way.
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
12
?
FfrictionFgravity Fgravity
Fgravity
Ffriction
MASS!!! “only a couple inches”
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
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--
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
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
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
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.
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
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?
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
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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
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