Transcript Document

The Role of Research in the
Improvement of Physics Education
David E. Meltzer
Department of Physics and Astronomy
Iowa State University
Ames, Iowa
Collaborators
Mani K. Manivannan
(Southwest Missouri State University)
Tom Greenbowe
(ISU, Chemistry)
Graduate Students
Jack Dostal (ISU/Montana State)
Ngoc-Loan Nguyen (ISU)
Tina Fanetti (ISU)
Supported in part by the National Science Foundation
Outline
• What is meant by “improved” physics education?
• The role of research
• Some research findings: wherein lies the
problem?
• Some applications of research: possible
solutions
• Future outlook
Physics instruction may have multiple
goals:
• Improve student attitudes toward – and
understanding of – scientific process
• Improve ability in quantitative problem solving
• Improve students’ laboratory skills
• Improve students’ understanding of physics
concepts, and reasoning skills
Also: instructors may “target” different segments of
the student population (e.g., top 10%, middle 50%,
etc.)
Physics Education As a Research Problem
Within the past 25 years, physicists have begun
to treat the teaching and learning of physics as
a research problem
• Systematic observation and data collection
• Identification and control of variables
• In-depth probing and analysis of students’ thinking
• Reproducible experiments
U.S. Physics Departments with Active
Research Groups in Physics Education
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American University
Arizona State University †
Black Hills State University
Boise State University
California Polytechnic
State University, San Luis Obispo
California State University, Fullerton
California State University, San Marcos
Carnegie Mellon University
City University of New York
Clarion University
Grand Valley State University
Harvard University
Indiana University-Purdue University
Fort Wayne
Iowa State University*
Kansas State University†
Montana State University*
New Mexico State University
North Carolina A&T University
North Carolina State University*
Ohio State University*
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Rensselaer Polytechnic Institute*
San Diego State University†
Southwest Missouri State University
Syracuse University
Texas Tech University
Tufts University
University of Central Florida
University of Maine*
University of Maryland*
University of Massachusetts – Amherst
University of Minnesota†
University of Nebraska*
University of Northern Arizona
University of Northern Iowa
University of Oregon
University of Washington*
University of Wisconsin – Stout
*offer Ph.D. in Physics Education in Physics
Department
†offer Ph.D. in Physics Education in
collaborating department
Goals of
Physics Education Research
• Improved learning by all students – “average” as
well as “high performers”
• More favorable attitudes toward physics (and
understanding of it) by nonphysicists
• Better understanding of learning process in physics
– to facilitate continuous improvement in physics
teaching
 Not a search for the “Perfect Pedagogy”
There is no Perfect Pedagogy!
Role of Physics Education Research
• Investigate learning difficulties
• Develop and assess more effective curricular
materials
• Implement new instructional methods that
make use of improved curricula
Tools of Physics Education Research
• Conceptual surveys or “diagnostics”: sets of written
questions (short answer or multiple choice)
emphasizing qualitative understanding (often given
“pre” and “post” instruction)
e.g. “Force Concept Inventory”; “Force and Motion Conceptual
Evaluation”; “Conceptual Survey of Electricity”
• Students’ written explanations of their reasoning
• Interviews with students
e.g. “individual demonstration interviews” (U. Wash.): students are
shown apparatus, asked to make predictions, and then asked to
explain and interpret results in their own words
Caution: Careful probing needed!
• It is very easy to overestimate students’ level of
understanding.
• Students frequently give correct responses based
on incorrect reasoning.
• Students’ written explanations of their reasoning
are powerful diagnostic tools.
• Interviews with students tend to be profoundly
revealing … and extremely surprising (and
disappointing!) to instructors.
Excerpt from interview: nontechnical physics student
DEM: Suppose she is speeding up at a steady rate with constant acceleration. In
order for that to happen, do you need to apply a force? And if you need to apply
a force, what kind of force: would it be a constant force, increasing force,
decreasing force?
STUDENT: Yes you need to have a force.
It can be a constant force, or it could be an increasing force.
DEM: . . .She is speeding up a steady rate with constant acceleration.
STUDENT: Constantly accelerating? Then the force has to be increasing . . . Wait a
minute . . .The force could be constant, and she could still be accelerating.
DEM: Are you saying it could be both?
STUDENT: It could be both, because if the force was increasing she would still be
constantly accelerating.
DEM: What do we mean by constant acceleration?
STUDENT: Constantly increasing speed; a constant change in velocity.
Some Specific Issues
Many (if not most) students:
• develop weak qualitative understanding of
concepts (If lacking a quantitative problem solution, they are
unable to determine relative magnitudes, directions, and rates of
change)
• have a strong tendency to view concepts as
unrelated and context-dependent (not as
interlinked aspects of broad universal principles)
• Lack a “functional” understanding of concepts
(which would allow problem solving in unfamiliar
contexts)
Testing “Functional” Understanding
Applying the concepts in unfamiliar situations: Research at the
University of Washington [McDermott, 1991]
• Even students with good grades may perform poorly on
qualitative questions in unexpected contexts
• Performance both before and after standard
instruction is essentially the same
Example: All batteries and bulbs in these three circuits are identical;
rank the brightness of the bulbs.
[Answer: A = D = E > B = C]
B
A
D
E
C
This question has been presented to over 1000 students in algebra- and
calculus-based lecture courses. Whether before or after instruction,
fewer than 15% give correct responses.
Investigations of Expert vs. Novice
Problem-Solving Methods [Maloney, 1994]
• Novices fail to make use of qualitative analysis to
construct appropriate representations.
[McMillan & Swadener, 1991]
• Novices attempt to analyze problems based on
surface features (“spring” problem, “inclined-plane”
problem, etc.) instead of broad physical principles.
[Chi et al., 1982]
• Novices lack hierarchical, interlinked knowledge
structures which provide a foundation for expertlike problem-solving technique. [Reif, et al., 1982-84]
Difficulties in Changing
Representations or Contexts
• Students are often able to solve problems in one
form of representation (e.g. in the form of a graph),
but unable to solve the same problem when posed
in a different representation (e.g., using “ordinary”
language).
• Students are often able to solve problems in a
“physics” context (e.g., a textbook problem using
“physics” language), but unable to solve the same
problem in a “real world” context (using “ordinary”
words).
Changing Contexts:
Textbook Problems and “Real” Problems
•
“Standard” Textbook Problem:
Cart A, which is moving with a constant velocity of 3 m/s, has an
inelastic collision with cart B, which is initially at rest as shown in Figure
8.3. After the collision, the carts move together up an inclined plane.
Neglecting friction, determine the vertical height h of the carts before they
reverse direction.
2.2 kg
A
•
0.9 kg
20°
B
“Context-Rich” Problem (K. and P. Heller):
You are helping your friend prepare for the next skate board
exhibition. For her program, she plans to take a running start and then
jump onto her heavy-duty 15-lb stationary skateboard. She and the
skateboard will glide in a straight line along a short, level section of track,
then up a sloped concrete wall. She wants to reach a height of at least 10
feet above where she started before she turns to come back down the
slope. She has measured her maximum running speed to safely jump on
the skateboard at 7 feet/second. She knows you have taken physics, so
she wants you to determine if she can carry out her program as planned.
She tells you that she weighs 100 lbs.
Origins of Learning Difficulties
• Students hold many firm ideas about the physical
world that may conflict strongly with physicists’
views.
• Most introductory students need much guidance in
scientific reasoning employing abstract concepts.
• Most introductory students lack “active learning”
skills that would permit more efficient mastery of
physics concepts.
“Misconceptions”/Alternative Conceptions
Student ideas about the physical world that conflict with physicists’
views
• Widely prevalent; there are some particular ideas that are almost
universally held by beginning students
• Often very well-defined – not merely a “lack of understanding,” but a
very specific idea about what should be the case (but in fact is not)
• Often -- usually -- very tenacious, and hard to dislodge; Many
repeated encounters with conflicting evidence required
Examples:
– An object in motion must be experiencing a force
– A given battery always produces the same current in any circuit
– Electric current gets “used up” as it flows around a circuit
Example: Students’ Understanding of
Gravitational Forces [Jack Dostal and D.E.M., 1999]
Earth
asteroid
Is the magnitude of the force exerted by the asteroid on the Earth larger than,
smaller than, or the same as the magnitude of the force exerted by the Earth on
the asteroid? Explain the reasoning for your choice.
This question was presented in the first week of class to all students taking
calculus-based introductory physics at ISU during Fall 1999.
First-semester Introductory Physics (N = 546): 15% correct responses
Second-semester Introductory Physics (N = 414): 38% correct responses
Majority of students persist in claiming that Earth exerts greater force
because it is larger or more massive
Another Example: Students’ Beliefs
About Gravitation [Jack Dostal and D.E.M., 1999]
Imagine that an astronaut is standing on the surface of the
moon holding a pen in one hand. If that astronaut lets go of
the pen, what happens to the pen? Why?
This question was presented in the first week of class to all students
taking calculus-based introductory physics at ISU during Fall 1999.
First-semester Introductory Physics (N = 534):
32% state that it will “float” or “float away”
Second-semester Introductory Physics (N = 408):
23% state that it will “float” or “float away”
Significant fraction of students persist in claiming that there is “no
gravity” or “insignificant gravity” on the moon
But … some students learn efficiently . . .
• Highly successful physics students (e.g., future
physics instructors!) are “active learners.”
– they continuously probe their own understanding
[pose their own questions; scrutinize implicit assumptions;
examine varied contexts; etc.]
– they are sensitive to areas of confusion, and have the
confidence to confront them directly
• Great majority of introductory students are unable
to do efficient “active learning” on their own: they
don’t know “which questions they need to ask”
– they require considerable prodding by instructors, aided by
appropriate curricular materials
– they need frequent confidence boosts, and hints for finding
their way
Keystones of Innovative Pedagogy
• To encourage active learning, students are led to
engage during class time in deeply thought-provoking
activities requiring intense mental effort. (“Interactive
Engagement.”)
• Instruction recognizes and deliberately elicits students’
preexisting “alternative conceptions” and other
common learning difficulties.
• The process of science (exploration and discovery) is
used as a means for learning science. Students are not
“told” things are true; instead, they are guided to figure
it out for themselves. (“Inquiry-based learning” )
“Interactive Engagement”
“Interactive Engagement” methods require an active
learning classroom:
• Very high levels of interaction between students
and instructor
• Collaborative group work among students during
class time
• Intensive active participation by students in
focused learning activities during class time
Elicit Students’ Pre-existing
Knowledge Structure
• Have students make predictions of the outcome of
experiments. (Selected to address common
conceptual stumbling blocks)
• Require students to give written explanations of their
reasoning. (Aids them to precisely articulate ideas.)
• Pose specific problems that consistently trigger certain
types of learning difficulties. (Based on research)
• Structure subsequent activities to confront difficulties
that were elicited. (Tested through research)
Inquiry-based Learning/ “Discovery”
Learning
Pedagogical methods in which students are guided
through investigations to “discover” concepts
• Targeted concepts are generally not told to the
students in lectures before they have an opportunity to
investigate (or at least think about) the idea
• Can be implemented in the instructional laboratory
(“active-learning” laboratory) where students are
guided to form conclusions based on evidence they
acquire
• Can be implemented in “lecture” or recitation, by
guiding students through chains of reasoning utilizing
printed worksheets
Example: Force and Motion
A cart on a low-friction surface is being pulled by a
string attached to a spring scale. The velocity of the cart is
measured as a function of time.
The experiment is done three times, and the pulling
force is varied each time so that the spring scale reads 1
N, 2 N, and 3 N for trials #1 through #3, respectively. (The
mass of the cart is kept the same for each trial.)
On the graph below, sketch the appropriate lines for
velocity versus time for the three trials, and label them #1,
#2, and #3.
velocity
time
Key Themes of Research-Based Instruction
• Emphasize qualitative, non-numerical questions to
reduce unthoughtful “plug and chug.”
• Make extensive use of multiple representations to
deepen understanding.
(graphs, diagrams, sketches, simulations, animations, etc.)
• Require students to explain their reasoning
(verbally or in writing) to more clearly expose their
thought processes.
New Approaches to Instruction on
Problem Solving
• A. Van Heuvelen: Require students to construct multiple
representations of problem (draw pictures, diagrams, graphs,
etc.)
• P. and K. Heller: Use “context rich” problems posed in natural
language containing extraneous and irrelevant information;
teach problem-solving strategy
• F. Reif et al.: Require students to construct problem-solving
strategies, and to critically analyze strategies
• P. D’Allesandris: Use “goal-free” problems with no explicitly
stated unknown
• J. Mestre, W. Gerace, W. Leonard, R. Dufresne: Emphasize
student generation of qualitative problem-solving strategies
New Instructional Methods:
Active-Learning Laboratories
• “Microcomputer-based Labs” (P. Laws, R. Thornton,
D. Sokoloff): Students make predictions and carry out
detailed investigations using real-time computer-aided
data acquisition, graphing, and analysis. “Workshop
Physics” (P. Laws) is entirely lab-based instruction.
• “Socratic-Dialogue-Inducing” Labs (R. Hake):
Students carry out and analyze activities in detail,
aided by “Socratic Dialoguist” instructor who asks
leading questions, rather than providing ready-made
answers.
New Instructional Methods:
Active Learning Text/Workbooks
• Electric and Magnetic Interactions, R. Chabay and B.
Sherwood, Wiley, 1995.
• Understanding Basic Mechanics, F. Reif, Wiley, 1995.
• Physics: A Contemporary Perspective, R. Knight,
Addison-Wesley, 1997-8.
• Six Ideas That Shaped Physics, T. Moore, McGrawHill, 1998.
Research-based
Software/Multimedia
• Simulation Software: ActivPhysics (Van
Heuvelen and d’Allesandris); Visual Quantum
Mechanics (Zollman, Rebello, Escalada)
• “Intelligent Tutors”: “Freebody,” (Oberem);
“Photoelectric Effect,” (Oberem and Steinberg)
• “Reciprocal Teacher”: “Personal Assistant for
Learning,” (Reif and Scott)
New Instructional Methods:
University of Washington Model
“Elicit, Confront, Resolve”
Most thoroughly tested and research-based physics curricular
materials; based on 20 years of ongoing work
• “Physics by Inquiry”: 3-volume lab-based curriculum,
primarily for elementary courses, which leads students through
extended intensive group investigations. Instructors provide
“leading questions” only.
• “Tutorials for Introductory Physics”: Extensive set of
worksheets, designed for use by general physics students
working in groups of 3 or 4. Instructors provide guidance and
probe understanding with “leading questions.” Aimed at eliciting
deep conceptual understanding of frequently misunderstood
topics.
Protocol for Testing Worksheets
• 30% of recitation sections yielded half of one
period for students to do worksheets
• Students work in small groups
• Remainder of period devoted to normal activities
• No net additional instructional time on gravitation
• Conceptual questions added to final exam with
instructor’s approval
Pretest Question (Newton’s third law)
Earth
asteroid
Is the magnitude of the force exerted by the
asteroid on the Earth larger than, smaller than, or
the same as the magnitude of the force exerted by
the Earth on the asteroid? Explain the reasoning
for your choice.
Post-test Question (Newton’s third law)
The rings of the planet Saturn are composed of millions of
chunks of icy debris. Consider a chunk of ice in one of
Saturn's rings. Which of the following statements is true?
A.
The gravitational force exerted by the chunk of ice on Saturn is
greater than the gravitational force exerted by Saturn on the chunk
of ice.
B.
The gravitational force exerted by the chunk of ice on Saturn is the
same magnitude as the gravitational force exerted by Saturn on the
chunk of ice.
C. The gravitational force exerted by the chunk of ice on Saturn is
nonzero, and less than the gravitational force exerted by Saturn on
the chunk of ice.
D. The gravitational force exerted by the chunk of ice on Saturn is zero.
E.
Not enough information is given to answer this question.
Results on Newton’s Third Law
Questions
(Students who gave incorrect answer on pretest question)
N
Worksheet
Non-Worksheet
Post-test Correct
82
84%
289
58%
(calculus-based course, first semester)
Post-test Question
(“Lead spheres”)
Two lead spheres of mass M are separated by a
distance r. They are isolated in space with no other masses
nearby. The magnitude of the gravitational force
experienced by each mass is F. Now one of the masses is
doubled, and they are pushed farther apart to a separation of
2r. Then, the magnitudes of the gravitational forces
experienced by the masses are:
A. equal, and are equal to F.
B. equal, and are larger than F.
C. equal, and are smaller than F.
D. not equal, but one of them is larger than F.
E. not equal, but neither of them is larger than F.
Results on “Lead Spheres” Question
(Question given on final exam)
N
Correct
Worksheet
116
70%
Non-Worksheet
384
45%
(calculus-based course, first semester)
New Instructional Methods:
Active Learning in Large Classes
• “Active Learning Problem Sheets” (A. Van Heuvelen):
Worksheets for in-class use, emphasizing multiple
representations (verbal, pictorial, graphical, etc.)
• “Interactive Lecture Demonstrations” (R. Thornton and D.
Sokoloff): students make written predictions of outcomes of
demonstrations.
• “Peer Instruction” (E. Mazur): Lecture segments interspersed
with challenging conceptual questions; students discuss with
each other and communicate responses to instructor.
• “Workbook for Introductory Physics” (D. Meltzer and K.
Manivannan): combination of multiple-choice questions for
instantaneous feedback, and sequences of free-response
exercises for in-class use.
Active Learning in Large Classes
• Drastic de-emphasis of lecturing; Instead, ask
students to respond to many questions.
• Use of communication systems (e.g., “Flash Cards”) to
obtain instantaneous feedback from entire class.
• Cooperative group work using carefully structured freeresponse worksheets (e.g., “Workbook for Introductory
Physics”)
Goal: Transform large-class learning environment into “office”
learning environment (i.e., instructor + one or two students)
Effectiveness of New Methods:(I)
Results on “Force Concept Inventory” (diagnostic exam for
mechanics concepts) in terms of “g”: overall learning gain
(posttest - pretest) as a percentage of maximum possible gain
• Survey of 4500 students in 48 “interactive engagement” courses
showed g = 0.48 ± 0.14
--> highly significant improvement compared to non-Interactive-
Engagement classes (g = 0.23 ± 0.04)
(R. Hake, Am. J. Phys. 66, 64 [1998])
• Survey of 281 students in 4 courses using “MBL” labs
showed g = 0.34 (range: 0.30 - 0.40)
(non-Interactive-Engagement: g = 0.18)
(E. Redish, J. Saul, and R. Steinberg, Am. J. Phys. 66, 64 [1998])
Effectiveness of New Methods: (II)
Results on “Force and Motion Conceptual Evaluation”
(diagnostic exam for mechanics concepts, involving both
graphs and “natural language”)
Subjects: 630 students in three noncalculus general physics
courses using “MBL” labs at the University of Oregon
Results (posttest; % correct):
Graphical Questions
Natural Language
Non-MBL
16
24
(R. Thornton and D. Sokoloff, Am. J. Phys. 66, 338 [1998])
MBL
80
80
Effectiveness of New Methods: (III)
University of Washington, Physics Education Group
RANK THE BULBS ACCORDING
TO BRIGHTNESS.
ANSWER: A=D=E > B=C
B
A
D
E
C
Results: Problem given to students in calculus-based course
10 weeks after completion of instruction. Proportion of
correct responses is shown for:
Students in lecture class: 15%
Students in “lecture + tutorial” class: 45%
(P. Shaffer and L. McDermott, Am. J. Phys. 60, 1003 [1992])
[At Southeastern Louisiana University, problem given on final exam in
algebra-based course using “Workbook for Introductory Physics”
Results: more than 50% correct responses.]
Challenges Ahead . . .
• Many (most?) students are comfortable and
familiar with more passive methods of learning
science. Active learning methods are always
challenging, and frequently frustrating for
students. Some (many?) react with anger.
• Active learning methods and curricula are not
“instructor proof.” Training, experience, energy and
commitment are needed to use them effectively.
Summary
• Much has been learned about how students learn
physics, and about specific difficulties that are
commonly encountered.
• Based on this research, many innovative
instructional methods have been implemented that
show evidence of significant learning gains.
• The process of improving physics instruction is
likely to be endless: we will never achieve
“perfection,” and there will always be more to learn
about the teaching process.