(Mats Selen, UIUC Department of Physics)
Q: Is conceptual understanding as important as problem solving skills?
A: YES, of course !
Q: What can we do to help develop this skill??
Modify lecture structure: “ACTs”
“Pre-Flights” before every lecture
Implementation
Results
Page 1
Physics 101 overview:
Algebra-based intro physics.
About 400 “pre-med” students per semester
Covers mechanics, heat & thermo, waves & sound
Very fast paced, lots of work, 5 credit hours.
Weekly structure:
Two 1-hour lectures
» Active learning
One 2-hour discussion section
» includes weekly quiz
One 3-hour laboratory section
» Hands-on “discovery”
Web based homework
» Great system…another talk
Page 2
Why we should stress concepts:
Physics 101 Midterm Exam 1, Spring 2000
On this exam, the conceptual problems were worth about 30% of the total.
Page 3
Students are asked to answer a set of conceptual questions
(on the Web) prior to every lecture (and discussion, and lab).
The main structure is:
Students read about material in text.
Students answer pre-flight questions on material prior to lecture.
» Physics 101 PF’s due at 6am, lecture starts at 1pm.
» Graded on participation, not correctness.
Instructor uses pre-flight responses to guide lecture preparation.
» Stress difficult material
Pre-flights are reviewed during lecture, often presented again a ACTs, and often capped off with a demo.
With careful preparation, the pre-flights can form the
“backbone” of the lecture.
Page 4
What the students see on the web:
What I typed in a simple text file:
Page 5
Simple setup on our NT server:
Text (& pictures) for PF 2 in here
Page 6
The instructors interface to the student responses (also on web): Statistics:
Free response:
Page 7
If the average velocity of a car during a trip along a straight road is positive, is it possible for the instantaneous velocity at some time during the trip to be negative?
1 - Yes
2 - No correct
73%
As long as the net distance traveled over the given time was positive, the average velocity will be positiveregardless of whether the car went in reverse at any point during that time.
I could have forgotten something at home and had to turn around, but eventually I reached my destination away from my starting pt.
27%
Velocity cannot be negative in reality.
0% 20% 40% 60% 80%
Page 8
Two identical boxes, each having a weight W, are tied to the ends of a string hung over a pulley (see picture). What is the tension T in the string? [see text 4.10]
1. T=0
2. T=W
3. T=2W correct
0% 20%
23%
33%
44%
40% 60%
Page 9
Two identical boxes, each having a weight W, are tied to the ends of a string hung over a pulley (see picture). What is the tension T in the string? [see text 4.10]
1. T=0
2. T=W
3. T=2W
Due to Newton's second and third laws, the rope itself is massless, so any force transmitted across it is done so without the diminishing of any magnitude. As each box has an equal weight, the tension T must be zero, as each box's force cancels the other's out.
The force applied to the rope is transmitted to the other side. This example would be just like a person hoisting up a box, pulling on the rope with a force of
W. In this case, the tension would just be W.
The string has the tension of two weights..
The tension on the string would be the same if you hung the two boxes on the same end. making it equal to 2W.
Page 10
Suppose you float a large ice-cube in a glass of water, and that after you place the ice in the glass the level of the water is at the very brim.
When the ice melts, the level of the water in the glass will:
1. Go up, causing the water to spill out of the glass.
2. Go down.
3. Stay the same.
CORRECT
0%
22%
36%
41%
20% 40% 60%
Page 11
Nice Tools:
We can “filter” on responses based on other questions !!
Page 12
Which weighs more:
1. A large bathtub filled to the brim with water.
2. A large bathtub filled to the brim with water with a battle-ship floating in it.
3. They will weigh the same.
CORRECT Tub of water
9%
16%
Students who got
Preflight #1 right.
75%
Tub of water + ship
0% 20% 40% 60% 80%
27%
30%
44%
Students who got
Preflight #1 wrong
0% 20% 40% 60%
Page 13
0%
6%
What physical quantities are conserved in the above collision?
1. Only momentum is conserved
2. Only total mechanical energy is conserved
3. Both are conserved
4. Neither is conserved
CORRECT
Since there are no external forces acting on the cars, linear momentum is conserved. However, since there is an inelastic collision between the cars, energy is lost.
13%
20%
39%
40%
43%
60% momentum of the system is not conserved because the cars slow down upon impact. however, energy is never created nor destroyed, only transferred.
Momentum is conserved because the net external force acting on the isolated system is zero
Mechanical energy is conserved because the net work done by external non-conservative forces is zero.
it is an inelastic collision, so momentum and energy are lost
Page 14
Answers to question 1
25% 25% 27%
59% 61% 57%
6%
10% 8%
6% 5%
10%
0% 20% 40%
All Students
60% 0% 20% 40% 60% 80%
Students with answers to Preflight 2 right
0% 20% 40% 60%
Students with answers to Preflight 2 wrong
Explanation: Question was actually quite “abstract” since student could not visualize where the energy went
Page 15
Shown is a yummy doughnut. Where would you expect the center of mass of this breakfast of champions to be located?
(Explain your reasoning Homer).
In the center. Assuming a perfectly symmetrical donut, all the mass is equidistant from the center.
Until someone takes a bite. (Doh)
CORRECT you're not getting my answer unless i get sprinkles.....suckers ! unfortunately, i think the center of mass of this perfectly symmetrical donut would be the center of the donut which does not seem to exist; so, i'll just say homer ate it.
I think it would be in a the middle of the dough in a circular pattern. Kind of like the onion in an onion ring.
UMMMMM..... Onion rings!!!!
INCORRECT
Page 16
Page 17
Well…what is the work?
Question preparation.
» Carefully chosen questions can be the backbone of the lecture.
» Takes some time to get it right.
Last minute “on the fly” lecture preparation.
» Con: Takes me all morning on the day of lecture.
» Pro: Takes me all morning on the day of lecture.
Benefits:
Students seem to like it.
» They know I take the time to read their responses.
» They have a stake in the lectures.
I love it !!!!
» The most fun I have had teaching.
Page 18