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PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR Catherine H. Crouch Harvard University Indiana University of Pennsylvania 21 July 1999

PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

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Page 1: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

PEER INSTRUCTION:TURNING A LECTURE INTO A SEMINAR

Catherine H. Crouch

Harvard University

Indiana University of Pennsylvania21 July 1999

Page 2: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Outline

Problem

Page 3: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Outline

Problem

Cause

Page 4: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Outline

Problem

Cause

Remedy

Page 5: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

380,000 students take

introductory physics

each year…

AIP Report R-151.33 (1997)

Page 6: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

about 1% of these get

a bachelor’s degree

in physics

AIP Report R-151.33 (1997)

Page 7: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

Of the 4,300 students with

a bachelor’s degree

in physics…

AIP Report R-151.33 (1997)AIP Report R-151.33 (1997)

Page 8: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

about 35% go on to get a

Ph.D. in physics…

AIP Report R-151.33 (1997)

Page 9: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

That’s one out of every

260 students in our

introductory

courses!

Page 10: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

What about the

other 259…?

Page 11: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

What do we know

about these

students?

Page 12: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)
Page 13: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

They know the jargon:

circular motion

barometric pressure

light radius

something to the power times ten to the something

Page 14: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

They are aware of their lack of knowledge

I graduated from college but I didn’t study astronomy

It’s been a while since I’ve had physics

Page 15: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

They are aware of their lack of knowledge

…and they don’t care!

I graduated from college but I didn’t study astronomy

It’s been a while since I’ve had physics

Page 16: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

Should we worry?

Page 17: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

We’d better!

Page 18: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)
Page 19: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

“I took four years of science and fouryears of math…

A waste of my time, a waste of the teacher’s time, and a waste of space…

You know, I took physics.

For what?”

Page 20: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

We have a problem

Some disturbing symptoms:

frustration

lack of understanding

lack of basic knowledge

Page 21: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

Page 22: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

Lectures focus on transfer of information…

Page 23: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

…but physics is not just information!

25

20

15

10

5

0252015

score

1050

cou

nt

1990FCI pretest

Hestenes, et al., TPT 30, 141 (1992)

Page 24: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

…but physics is not just information!

25

20

15

10

5

0252015

score

1050

cou

nt

1990FCI posttest

Page 25: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

…but physics is not just information!

25

20

15

10

5

0252015

score

1050

cou

nt

1990combined

Page 26: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

1990combined

Page 27: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

1990combined

Page 28: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

perfect score

Page 29: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

perfect score

R.R. Hake, Am. J. Phys. 66, 64 (1998)

Page 30: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

perfect score

1.00

0.23

g = Sf – Si1 – Si

R.R. Hake, Am. J. Phys. 66, 64 (1998)

Page 31: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

Conventional problems reinforce bad study habits

Page 32: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

Conventional problems reinforce bad study habits

12 V

8 V

4 Ω

2 Ω

6 Ω

QP

H

Page 33: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

Conventional problems reinforce bad study habits

12 V

8 V

4 Ω

2 Ω

6 Ω

QP

H

Calculate:

(a) the current in the 2-Ωresistor, and

(b) the potential differencebetween points P and Q

Page 34: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

Are basic principles understood?

S

AB

C

H

Page 35: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

Are basic principles understood?

S

AB

C

H

When S is closed, what happensto the:

(a) intensities of A and B? (b) intensity of C? (c) current through battery? (d) voltage drop across

A, B, and C? (e) total power dissipated?

Page 36: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

00

20

40

60

80

2 4 6 8 10score

coun

t

00

20

40

60

80

2 4 6 8 10score

coun

t

conventional conceptual

Page 37: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

00

20

40

60

80

2 4 6 8 10score

average 4.9average 6.9

coun

t

00

20

40

60

80

2 4 6 8 10score

coun

t

conventional conceptual

Page 38: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

100

80

60

40

20conc

eptu

al p

robl

em

100806040200

conventional problem

0

Page 39: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why do we have this problem?

100

80

60

40

20conc

eptu

al p

robl

em

100806040200

conventional problem

0

9%

52%

39%

Page 40: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

So what should we do?

Page 41: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Help students take more responsibility for learning!

Page 42: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Move first exposure to the material out of the classroom…

Page 43: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Move first exposure to the material out of the classroom: assign reading!

Page 44: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Move first exposure to the material out of the classroom: assign reading!

Use class to deepen and broaden understanding

Page 45: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Move first exposure to the material out of the classroom: assign reading!

Use class to deepen and broaden understanding

by identifying key ideas

Page 46: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Move first exposure to the material out of the classroom: assign reading!

Use class to deepen and broaden understanding

by identifying key ideas

and giving students opportunities to think

Page 47: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Main features:

Pre-class reading

Page 48: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Reading

Web-based assignment due before class

Page 49: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Reading

Web-based assignment due before class

Three questions (content and feedback)

Page 50: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Reading

Web-based assignment due before class

Three questions (content and feedback)

Graded on effort

Page 51: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Reading

Web-based assignment due before class

Three questions (content and feedback)

Graded on effort

5% of final grade

Page 52: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Main features:

Pre-class reading

In class: depth, not coverage

Page 53: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Peer Instruction

Main features:

Pre-class reading

In class: depth, not coverage

ConcepTests

Page 54: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

ConcepTest

1. Question

2. Thinking

3. Individual answer

4. Peer discussion

5. Group answer

6. Explanation

Page 55: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Sample ConcepTest

Consider an object that floats inwater but sinks in oil. When theobject floats in water, half of it issubmerged.

If we slowly pour oil on top of thewater so it completely covers theobject, the object

1. moves up.

2. stays in the same place.

3. moves down.

Page 56: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)
Page 57: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Motivating students

Suitable ConcepTests

Page 58: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Motivating students

Suitable ConcepTests

Rewards for participation

Page 59: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Motivating students

Suitable ConcepTests

Rewards for participation

Noncompetitive grading

Page 60: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Motivating students

Suitable ConcepTests

Rewards for participation

Noncompetitive grading

Conceptual exam questions

Page 61: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Is it any good?

Page 62: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Is it any good?

Results

Page 63: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Is it any good?

Results

Student Reactions

Page 64: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

25

20

15

10

5

0252015

score

1050

cou

nt

1991FCI pretest

Page 65: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

25

20

15

10

5

0252015

score

1050

cou

nt

1991FCI posttest

Page 66: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

25

20

15

10

5

0252015

score

1050

cou

nt

1991combined

Page 67: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

perfect score

1.00

0.23

g = Sf – Si1 – Si

Page 68: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

perfect score

1.00

0.23

g = Sf – Si1 – Si

Page 69: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

perfect score

1.00

0.23

g = Sf – Si1 – Si

R.R. Hake, Am. J. Phys. 66, 64 (1998)

Page 70: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

100

80

60

40

20

chan

ge in

sco

re, S

f – S

i (%

)

100806040200

initial score, Si (%)

0

perfect score

1.00

0.23

g = Sf – Si1 – Si

0.48

R.R. Hake, Am. J. Phys. 66, 64 (1998)

Page 71: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

What about problem solving…?

Page 72: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

25

20

15

10

5

01008060

exam score (%)

40200

cou

nt

1985exam scores

Page 73: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

25

20

15

10

5

01008060

exam score (%)

40200

cou

nt

1991exam scores

Page 74: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

25

20

15

10

5

01008060

exam score (%)

40200

cou

nt

1985/91exam scores

Page 75: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for students

focuses students on understanding

Page 76: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for students

focuses students on understanding

gets students thinking

Page 77: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for students

focuses students on understanding

gets students thinking

uncovers misunderstandings

Page 78: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for students

focuses students on understanding

gets students thinking

uncovers misunderstandings

builds confidence

Page 79: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for instructors

Page 80: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for instructors

modification, not drastic change

Page 81: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for instructors

modification, not drastic change

adaptable

Page 82: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Why it works for instructors

modification, not drastic change

adaptable

resources (http://galileo.harvard.edu)

Page 83: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

So better understanding leads to better

problem solving!

Page 84: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Results

So better understanding leads to better

problem solving!

(but “good” problem solving doesn’t always

indicate understanding!)

Page 85: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)
Page 86: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Conclusion

Let’s not forget the base

of the pyramid!

Page 87: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Conclusion

Let’s help them learn what

science is all about!

Page 88: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Conclusion

skepticism

growing pains

Challenges:

Page 89: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Conclusion

engagement

improved understanding

class is fun!

Rewards:

Page 90: PEER INSTRUCTION: TURNING A LECTURE INTO A SEMINAR …We have a problem 380,000 students take introductory physics each year… AIP Report R-151.33(1997)

Funding

National Science Foundation

For a copy of this talk andadditional information:

http://mazur-www.harvard.edu