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What every teacher should know about
         cognitive research
                            Or
                      How People Learn




          Dr. Stephanie Chasteen
                Physics Department
          University of Colorado at Boulder
         Stephanie.Chasteen@Colorado.EDU
This presentation is copyrighted under the Creative Commons License
                 Attribution Non-Commercial Share-Alike



 That means: Please watch it, share it, and use it in your presentations.
 Just give us credit, don’t make money from it, and use the same kind of
               license on the works that you create from it.

       More information about Creative Commons licenses here:
                  http://creativecommons.org/licenses/

Credit should be given to: Stephanie Chasteen and the Science Education
                  Initiative at the University of Colorado,
                            http://colorado.edu/sei
PER at Colorado
Faculty:                   Grad Students:
  Melissa Dancy               Stephanie Barr
  Michael Dubson              Kara Gray
  Noah Finkelstein            Lauren Kost-Smith (PhD May 11)
  Valerie Otero               May Lee
  Kathy Perkins               Mike Ross
  Steven Pollock              Ben Spike
  Carl Wieman (on leave)      Ben Van Dusen
Postdocs/ Scientists:         Bethany Wilcox
  Charles Baily            Teachers / Partners / Staff:
  Danny Caballero             Shelly Belleau
  Stephanie Chasteen          Jackie Elser,
  Julia Chamberlain           Trish Loeblein
  Kelly Lancaster             Susan M. Nicholson-Dykstra
  Laurel Mayhew               Sara Severence
  Emily Moore                 Emily Quinty
  Ariel Paul                  Mindy Gratny, Kate Kidder
  Rachel Pepper               John Blanco, Sam Reid
  Noah Podolefsky             Chris Malley, Jon Olson
  Benjamin Zwickl             Oliver Nix, Nina Zabolotnaya
Major advances past 1-2 decades
Consistent picture ⇒ Achieving learning


classroom                     brain
  studies                   research




               cognitive
              psychology
Some big outcomes:
• Learning is constructing understanding
• People organize their experiences into
  patterns or mental models
Outline

•    What people know affects what they
     learn (context is important)
• Preparing your students to learn
• What we remember is affected by how
     our brain works (the limits of retention)
If time
• Motivation is important
• Feedback is important
Outline

•    What people know affects what they
     learn (context is important)
• Preparing your students to learn
• What we remember is affected by how
     our brain works (the limits of retention)
If time
• Motivation is important
• Feedback is important
Stroop test
Stroop Test ][
Stroop ///

rot, grün, blau, gelb, rosafarben,
orange, blau, grün, blau, weiß,
grün, gelb, orange, blau, weiß,
braun, rot, blau, gelb, grün,
rosafarben, gelb, grün, blau, rot
Strong indication:
   Prior knowledge matters

Sometimes prior knowledge gets in the way of learning
Tools allow thought
A Story of Galileo: 6 theorems of a genius
Theorem: If a moving particle, carried uniformly at
constant speed traverses two distances, then the
                   algebra
time interval required are to each other in the ratio of
their distances.
      (followed by 2 page geometric proof).


      d1 = r * t1                 t1 d1
                                     =
      d2 = r * t 2                t 2 d2
                              From diSessa (2000) Changing Minds
THE MONTILLATION AND USES OF TRAXOLINE

It is very important to
learn about traxoline.                  QUIZ:
Traxoline is a new form of     1. What is traxoline?
zionter. It is montilled in
Ceristanna. The                2. Where is it montilled?
Ceristannians found that       3. How is traxoline
they could gristerlate large     quaseled?
amounts of fervon and then
                               4. Why is traxoline
bracter it to quasel
traxoline. This new, more        important?
efficient bracterillation
process has the potential to
make traxoline one of the
most useful products within
the molecular family of
lukizes snezlaus.
So, lack of context inhibits students from
 building productive mental models. It
 encourages memorization of facts and
 pattern-matching.

But… students are not always aware of
 the context of what they’re learning!
 Why?
Your brain




Your students’ brains



                              Images: pptudela on Wikimedia
The “dead leaves” model
   (a) Write down every equation or law the teacher writes
       down that is also in the book
   (b) Memorize these, together with end-of-chapter formula
   (c) Do enough homework and end-of-chapter problems to
       recognize which formula is applied to which problem
   (d) Pass the exam by selecting the correct formulas for the
       problems on the exam
   (e) Erase all information from your brain after the exam to
       make room for the next set of material.

Redish, Implications of cognitive studies for teaching physics. Am. J.
Phys. (1994).
Discussion
• How have you seen this apply in your
  classroom?
• Where can/do we take into account
  students’ prior knowledge?
• Where does context come into our
  instruction?
How context can help…


                  The card game
    Rule: If there is a vowel on one side,
    there is an even number on the other
    In order to verify the rule isn’t broken,
    which card(s) do you need to flip over?



      E 2 L 5
Adapted from Johnson-Laird ‘83



    The bartender game
You are a bartender and need to verify
that the following drink orders/ ages
don’t break the law: if you drink alcohol
you must be 21 or older. Whose IDs do
you need to check?

Gin/       Age:                       Age:
                       Coke
Tonic      16                         52
If letter = vowel, then number = even



     E 2 L 5
If drink = alcohol, then age>21

    Gin/         Age:                   Age:
                             Coke
    Tonic        16                     52
So, prior knowledge can be used to help
 process information more readily.

Prior knowledge can be accessed by
  providing useful, authentic context.

It is easy to learn something that matches or
   extends an existing mental model!
(And it is hard to learn something we don’t
   almost already know)

Much learning is done by analogy
One example: PhET Simulations
                http://phet.colorado.edu
               Free online simulations




• Engaging
• Visual
• Real-world
Visual Models & Analogies
Comparing Activity Design
 Make the man start at         Sketch what you think the
  -5 meter mark, move with     graphs will look like for this story
                               that Jill told:
 constant speed to the 2
 meter mark and then            “Bobby was talking to me on his
 accelerates to the 8 meter    cell phone standing by his car.
 mark.                         The phone signal was poor, so
                               he walked toward his house
 A. Sketch the position,       trying to get a better signal and
 velocity and acceleration     then stood still so we could talk.”
 graphs that you see.
                               A. Explain why each part of your
 B. How do the three           graph makes sense.
 graphs relate?
                               B. Test your ideas using the
Which activity are you more    simulation
likely to use with students?
B.Green. B. Red.
The importance of context
The procedure is quite simple. First arrange items into different
 groups. Of course one pile may be sufficient depending on how
 much there is to do. If you have to go somewhere else due to
 lack of facilities that is the next step; otherwise, you are pretty
 well set. It is important not to overdo things. That is, it is better
 to do too few things at once than too many. In the short run this
 may not seem important but complications can easily arise. A
 mistake can be expensive as well. At first, the whole procedure
 will seem complicated. Soon, however, it will become just
 another facet of life. It is difficult to foresee any end to necessity
 for this task in the immediate future, but then, one can never
 tell. After the procedure is completed one arranges the material
 into different groups again. Then they can be put into their
 appropriate places. Eventually they will be used once more and
 the whole cycle will then have to be repeated. However, this is
 part of life.



               * Bransford, & Johnson(1972). Journal of Verbal Learning and Verbal Behavior 11, 717-726
Foreground / Background




                   From: R. McDermott ‘93
Circuit Construction Kit (CCK)
Outline

•    What people know affects what they
     learn (context is important)
• Preparing your students to learn
• What we remember is affected by how
     our brain works (the limits of retention)
If time
• Motivation is important
• Feedback is important
“hooks” for memory

Hooks for retention-- mental connections


  e.g. lesson on fasteners-- here are all the
  types and how they are used.
  vs.
  Here is an interesting job problem, here
  are possible types of fasteners for solving
                                                6 kg
  problem, and here is how a certain type
  of fastener solved it.
If interactive engagement
  helps students learn…
     then is “telling” bad?
A study…
• Population: cognitive psychology students.
• Content: cognitive theories of memory

• Question: How well do students
  understand theories of memory from…
  – reading a textbook about classic
    experiments?
  – analyzing and graphing simplified data sets
    from these classic experiments?
Data analysis task
Study design
            First…                  Second…                   Assessment
A      Graph Data                Graph Data
                                                              Factual Test
B      Summarize Chapter Lecture on Theory

C      Graph Data                Lecture on Theory

             Which do you think did better on the test?
             A           B       C      or D- other




Schwartz, Bransford and Sears, 2005. Efficiency and Innovation in Transfer.
Score on factual recall test




    A                   B                 C
Graph data         Reading +           Graph Data +
Graph data         Lecture             Lecture
So that means…
• Data analysis activities are useless, lecturing
  is key. Right?
   “Wouldn’t it just be more efficient to tell them?”


• No… this is the ‘conspiracy theory’.
   – Assessments designed to test efficient learning of
     facts make fact-based instruction look good.
Assessment Design
    Activity 1          Activity 2           Assessment
Graph Data            Graph Data
                                             Factual Test
Summarize Chapter Lecture on Theory
                                             Transfer Test
Graph Data            Lecture on Theory



Add a new “transfer” assessment
      Asked to predict outcomes of a novel experiment.
Score on transfer test (predict new experiment)




    A                  B                C
Graph data        Reading +         Graph Data +
Graph data        Lecture           Lecture
Assessment and Instruction
• So, lectures can be an effective tool for
  instruction… IF the students are
  prepared to learn from them

• What was so special about the
  “graphing the data” activity, especially
  compared to summarizing the chapter?
Creating a “time for telling”
• Data graphing oriented students to key
  features
• They needed to account for variation in
  the data = contrasting cases
• This struggle towards meaning prepares
  them to learn from lecture, enabling
  better transfer
The importance of contrasts
        What is relevant?




Circle   Biggish Empty Solid White Line Left Side of Screen
But we do learn to perceive…




Despite variations in surface features
The importance of contrast
  How do you teach Japanese speakers to hear
   “L”? How do you teach someone to taste
   the difference between Merlot and Cabernet?
  Do you give them the purest example of “L” ? Of a Cabernet?


Learning depends on finding structure in
variability.
Need both positive and negative variations.
But you can’t just throw contrasts at people
Invention Activities
                  orient to key features

    • Before a lesson on deviation in statistics
    • Ask students to develop “reliability index”
      for pitching machines
    • Students don’t need to discover right
      answer. Prepares them to “get it” when
      you give them lecture.

 * Schwartz, D. L., Bransford, J. D., Sears, D. L. (2005). Efficiency and
innovation in transfer
* Schwartz and Martin (2004), Inventing to Prepare for Future Learning
Pitching
        machine
        example
• Create a reliability
  index that
  differentiates
  between these
  different machines

Implemented in high school Algebra 1.
Himmelberger, K., & Schwartz, D. L. (2007). It’s a homerun! Using
mathematical discourse to support the learning of statistics.
 Mathematics Teacher, 101(4), 250-256.
A. Area covered by
   pitches
B. Perimeter using grid
   marks
C. Average distances
   between pairs of points
D. Average distance from
   random point to all
   points
E. Frequency of balls in
   each of 4 quadrants
F. Average distance
   between all pairwise
   points
Pitching redux
• Wide variety of sophisticated solutions
• Solutions themselves not critical
• Generates discussion about how to
  handle aspects of variability
• Prepares to understand formula
• 9th graders after invention did better on
  test than college students after a
  semester of statistics!
                         ave deviation =
                                         å x- X
                                            n
Orienting Task:
Inventing an Index

  Dan Schwartz
Worksheet: Invention
       activities

A. Crowded Clowns
B. Popcorn

Work through with two partners. 5 minutes.
Thinking about it all
Might you use an “invention activity” like
  this in your class?
B.Definitely (why?)
C.It depends (on what?)
D.Definitely not (why not?)

Are there other ways you use contrasting
  cases in your teaching?
Are there other ways to let students “struggle
  towards meaning”?
Summary of contrasting cases
• Asking students to invent a description
  of different contrasting cases (e.g.,
  crowded clown index) helps them learn
  the important features
• Prepared them to learn from lecture,
  creating a “time for telling”
• Helps them to transfer to new situations
  (but not necessarily in factual recall)
Outline

•    What people know affects what they
     learn (context is important)
• Preparing your students to learn
• What we remember is affected by how
     our brain works (the limits of retention)
If time
• Motivation is important
• Feedback is important
How much do you remember
  from this talk already?
 Probably 10% of you remember any non-obvious fact
               from 15 minutes ago
Working Memory Capacity

                            VERY LIMITED!
                            every added demand hurts
                            learning (“cognitive load”)
                            (remember/process max 4-7
                            unrelated items)

                             Without great care,
                             exceeded in almost
                             every lecture.



Mr. Anderson, May I be excused?
My brain is full.
What does help memory?
Quiz:
What is Traxoline? It’s a new form of…

D.Montillation
E.Quasel
F.Zionter        Testing is a learning event!
G.Bracter
H. Roediger, J. Karpicke Psych. Sci. Vol.17 pg 249
Some interesting findings on
           studying…
  • Under time pressure, people study the
    easiest items
  • People often stop studying before they
    have learned the information
  • Spaced vs. massed practice is better
  • Self-testing is important
  • There are benefits to retrieval even if it
    fails, especially with corrective feedback
Kornell and Bjork, The promise and perils of self-regulated study
Implications
• Provide opportunity for retrieval in
  lecture
• Space repetitions across
  lecture/homework
• Help students learn how to study
Classroom application
• What kinds of things might you do to
  help improve students’ memory of facts
  and vocabulary?
Fin
Slides will be at blog.sciencegeekgirl.com
Outline

•    What people know affects what they
     learn (context is important)
• Preparing your students to learn
• What we remember is affected by how
     our brain works (the limits of retention)
If time
• Motivation is important
• Feedback is important
If you see no reason to learn,
       you won’t bother!
• Learning takes effort
• Why spend energy if there’s no reason?
• Motivation is highly malleable!
“This class is very hard and many of
  you will fail so you need to study
  really hard.”

How do you think this affects university
student motivation to learn the material?

a. increases   b. decreases
                        Focus groups and
                          interviews indicate is
                          demotivating for
                          university students.
                          Psychology studies
                          support.
What does motivate?
 •What have you found to be the most motivating to
 students?
 •What did you think would be motivating but
 wasn’t?

c.Subject relevance (meaningful context)
d.Instructor attitude. (respect and challenge)

  “Subject hard for everyone, but all can master
 with effort, and my goal for course is for all of you
 to succeed.”
Attitudes and Beliefs*
   Assessing the “hidden curriculum” -
   beliefs about physics and learning physics

 Examples:
 • “I study physics to learn knowledge that
   will be useful in life.”
 • “To learn physics, I only need to memorize
   solutions to sample problems”

*Adams et al, (2006). Physical Review: Spec. Topics: PER, 0201010
How do you think a single
  introductory physics class affects
   students beliefs about physics?

A. Not much. Their beliefs are pretty well set
   by college.
B. Some students probably come out with a
   slightly more positive view of physics
C. It varies by students’ individual learning
   styles
D. Something else
Can we affect students’ beliefs?
                               Shift (%) “CLASS” survey of
                                           Expert-like beliefs
Real world connect...          -6
Personal interest........      -8      The good news: yes…
Sense making/effort...         -12
Conceptual................     -11
Math understanding...          -10
Problem Solving........        -7
                                         Worse for
Confidence................     -17       females!
Nature of science.......       +5
                                (All ±2%)
 Students come out of introductory classes with more negative
           views of physics than they came in with!
why does this happen?
Trad’l Model of Education
 Content         Individual
Expert Tutors *
1.   Motivation major focus (context, pique curiosity,...)limited
     praise, never for person, all for process

3.   Understands what students do and do not know ⇒
     timely, specific, interactive feedback

5.   Almost never tell students anything-- pose questions.

7.   Mostly students answering questions & explaining.

9.   Asking right questions so students challenged but can
     figure out. Systematic progression.

11. Let students make mistakes, then discover and fix.

13. Require reflection: how solved, explain, generalize,…


           *Lepper and Woolverton pg 135 in Improving Academic Achievement
Classroom application
• How might you help motivate students
  to learn the material?
Outline

•    What people know affects what they
     learn (context is important)
• Preparing your students to learn
• What we remember is affected by how
     our brain works (the limits of retention)
If time
• Motivation is important
• Feedback is important
actively engaging students
        is important


 Learning is changing our brain
 “constructivism!”
What makes an expert thinker?
It’s not just that an expert knows more
An expert thinks about a subject in different ways
than a novice does

“New wiring!”

We can see that the brain changes through brain
activation and imaging studies, and in what experts
do
Feedback helps with constructing
    our own understanding
 If we’re to change how we think, we need
   feedback on our thinking

 What does that mean?
 What kind of feedback is most helpful?
 How can students get it?
No need for feedback in
   traditional model
Feedback through formative assessment
Compare and contrast what students
  experience during two different types of
  assessment activities.
2. Does the assessment help students
  gauge what they know?
3.Does the assessment build skills in
  feedback?
4.How does the assessment motivate
  students to learn the material?

            Adapted from Handelsman, Miller & Pfund, 2007
It’s not about our teaching,
it’s about student learning
Conclusions
• Educational practice is a researchable endeavor
  – We can make systematic progress
  – Imperative to include physicists
• Possible to achieve dramatic repeated results
• CU model strongly couples:
  – Reform and research
  – Education and physics
• Sustaining & Scaling reforms is possible
  – Requires theoretical framing
  – Both CONTENT and CONTEXT matter
Fin
Much more at: per.colorado.edu

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What every teacher should know about cognitive science

  • 1. What every teacher should know about cognitive research Or How People Learn Dr. Stephanie Chasteen Physics Department University of Colorado at Boulder Stephanie.Chasteen@Colorado.EDU
  • 2. This presentation is copyrighted under the Creative Commons License Attribution Non-Commercial Share-Alike That means: Please watch it, share it, and use it in your presentations. Just give us credit, don’t make money from it, and use the same kind of license on the works that you create from it. More information about Creative Commons licenses here: http://creativecommons.org/licenses/ Credit should be given to: Stephanie Chasteen and the Science Education Initiative at the University of Colorado, http://colorado.edu/sei
  • 3. PER at Colorado Faculty: Grad Students: Melissa Dancy Stephanie Barr Michael Dubson Kara Gray Noah Finkelstein Lauren Kost-Smith (PhD May 11) Valerie Otero May Lee Kathy Perkins Mike Ross Steven Pollock Ben Spike Carl Wieman (on leave) Ben Van Dusen Postdocs/ Scientists: Bethany Wilcox Charles Baily Teachers / Partners / Staff: Danny Caballero Shelly Belleau Stephanie Chasteen Jackie Elser, Julia Chamberlain Trish Loeblein Kelly Lancaster Susan M. Nicholson-Dykstra Laurel Mayhew Sara Severence Emily Moore Emily Quinty Ariel Paul Mindy Gratny, Kate Kidder Rachel Pepper John Blanco, Sam Reid Noah Podolefsky Chris Malley, Jon Olson Benjamin Zwickl Oliver Nix, Nina Zabolotnaya
  • 4. Major advances past 1-2 decades Consistent picture ⇒ Achieving learning classroom brain studies research cognitive psychology
  • 5. Some big outcomes: • Learning is constructing understanding • People organize their experiences into patterns or mental models
  • 6. Outline • What people know affects what they learn (context is important) • Preparing your students to learn • What we remember is affected by how our brain works (the limits of retention) If time • Motivation is important • Feedback is important
  • 7. Outline • What people know affects what they learn (context is important) • Preparing your students to learn • What we remember is affected by how our brain works (the limits of retention) If time • Motivation is important • Feedback is important
  • 10. Stroop /// rot, grün, blau, gelb, rosafarben, orange, blau, grün, blau, weiß, grün, gelb, orange, blau, weiß, braun, rot, blau, gelb, grün, rosafarben, gelb, grün, blau, rot
  • 11. Strong indication: Prior knowledge matters Sometimes prior knowledge gets in the way of learning
  • 12. Tools allow thought A Story of Galileo: 6 theorems of a genius Theorem: If a moving particle, carried uniformly at constant speed traverses two distances, then the algebra time interval required are to each other in the ratio of their distances. (followed by 2 page geometric proof). d1 = r * t1 t1 d1 = d2 = r * t 2 t 2 d2 From diSessa (2000) Changing Minds
  • 13. THE MONTILLATION AND USES OF TRAXOLINE It is very important to learn about traxoline. QUIZ: Traxoline is a new form of 1. What is traxoline? zionter. It is montilled in Ceristanna. The 2. Where is it montilled? Ceristannians found that 3. How is traxoline they could gristerlate large quaseled? amounts of fervon and then 4. Why is traxoline bracter it to quasel traxoline. This new, more important? efficient bracterillation process has the potential to make traxoline one of the most useful products within the molecular family of lukizes snezlaus.
  • 14. So, lack of context inhibits students from building productive mental models. It encourages memorization of facts and pattern-matching. But… students are not always aware of the context of what they’re learning! Why?
  • 15. Your brain Your students’ brains Images: pptudela on Wikimedia
  • 16. The “dead leaves” model (a) Write down every equation or law the teacher writes down that is also in the book (b) Memorize these, together with end-of-chapter formula (c) Do enough homework and end-of-chapter problems to recognize which formula is applied to which problem (d) Pass the exam by selecting the correct formulas for the problems on the exam (e) Erase all information from your brain after the exam to make room for the next set of material. Redish, Implications of cognitive studies for teaching physics. Am. J. Phys. (1994).
  • 17. Discussion • How have you seen this apply in your classroom? • Where can/do we take into account students’ prior knowledge? • Where does context come into our instruction?
  • 18. How context can help… The card game Rule: If there is a vowel on one side, there is an even number on the other In order to verify the rule isn’t broken, which card(s) do you need to flip over? E 2 L 5
  • 19. Adapted from Johnson-Laird ‘83 The bartender game You are a bartender and need to verify that the following drink orders/ ages don’t break the law: if you drink alcohol you must be 21 or older. Whose IDs do you need to check? Gin/ Age: Age: Coke Tonic 16 52
  • 20. If letter = vowel, then number = even E 2 L 5 If drink = alcohol, then age>21 Gin/ Age: Age: Coke Tonic 16 52
  • 21. So, prior knowledge can be used to help process information more readily. Prior knowledge can be accessed by providing useful, authentic context. It is easy to learn something that matches or extends an existing mental model! (And it is hard to learn something we don’t almost already know) Much learning is done by analogy
  • 22. One example: PhET Simulations http://phet.colorado.edu Free online simulations • Engaging • Visual • Real-world
  • 23. Visual Models & Analogies
  • 24. Comparing Activity Design Make the man start at Sketch what you think the -5 meter mark, move with graphs will look like for this story that Jill told: constant speed to the 2 meter mark and then “Bobby was talking to me on his accelerates to the 8 meter cell phone standing by his car. mark. The phone signal was poor, so he walked toward his house A. Sketch the position, trying to get a better signal and velocity and acceleration then stood still so we could talk.” graphs that you see. A. Explain why each part of your B. How do the three graph makes sense. graphs relate? B. Test your ideas using the Which activity are you more simulation likely to use with students? B.Green. B. Red.
  • 25. The importance of context The procedure is quite simple. First arrange items into different groups. Of course one pile may be sufficient depending on how much there is to do. If you have to go somewhere else due to lack of facilities that is the next step; otherwise, you are pretty well set. It is important not to overdo things. That is, it is better to do too few things at once than too many. In the short run this may not seem important but complications can easily arise. A mistake can be expensive as well. At first, the whole procedure will seem complicated. Soon, however, it will become just another facet of life. It is difficult to foresee any end to necessity for this task in the immediate future, but then, one can never tell. After the procedure is completed one arranges the material into different groups again. Then they can be put into their appropriate places. Eventually they will be used once more and the whole cycle will then have to be repeated. However, this is part of life. * Bransford, & Johnson(1972). Journal of Verbal Learning and Verbal Behavior 11, 717-726
  • 26. Foreground / Background From: R. McDermott ‘93
  • 28. Outline • What people know affects what they learn (context is important) • Preparing your students to learn • What we remember is affected by how our brain works (the limits of retention) If time • Motivation is important • Feedback is important
  • 29. “hooks” for memory Hooks for retention-- mental connections e.g. lesson on fasteners-- here are all the types and how they are used. vs. Here is an interesting job problem, here are possible types of fasteners for solving 6 kg problem, and here is how a certain type of fastener solved it.
  • 30. If interactive engagement helps students learn… then is “telling” bad?
  • 31. A study… • Population: cognitive psychology students. • Content: cognitive theories of memory • Question: How well do students understand theories of memory from… – reading a textbook about classic experiments? – analyzing and graphing simplified data sets from these classic experiments?
  • 33. Study design First… Second… Assessment A Graph Data Graph Data Factual Test B Summarize Chapter Lecture on Theory C Graph Data Lecture on Theory Which do you think did better on the test? A B C or D- other Schwartz, Bransford and Sears, 2005. Efficiency and Innovation in Transfer.
  • 34. Score on factual recall test A B C Graph data Reading + Graph Data + Graph data Lecture Lecture
  • 35. So that means… • Data analysis activities are useless, lecturing is key. Right? “Wouldn’t it just be more efficient to tell them?” • No… this is the ‘conspiracy theory’. – Assessments designed to test efficient learning of facts make fact-based instruction look good.
  • 36. Assessment Design Activity 1 Activity 2 Assessment Graph Data Graph Data Factual Test Summarize Chapter Lecture on Theory Transfer Test Graph Data Lecture on Theory Add a new “transfer” assessment Asked to predict outcomes of a novel experiment.
  • 37. Score on transfer test (predict new experiment) A B C Graph data Reading + Graph Data + Graph data Lecture Lecture
  • 38. Assessment and Instruction • So, lectures can be an effective tool for instruction… IF the students are prepared to learn from them • What was so special about the “graphing the data” activity, especially compared to summarizing the chapter?
  • 39. Creating a “time for telling” • Data graphing oriented students to key features • They needed to account for variation in the data = contrasting cases • This struggle towards meaning prepares them to learn from lecture, enabling better transfer
  • 40. The importance of contrasts What is relevant? Circle Biggish Empty Solid White Line Left Side of Screen
  • 41. But we do learn to perceive… Despite variations in surface features
  • 42. The importance of contrast How do you teach Japanese speakers to hear “L”? How do you teach someone to taste the difference between Merlot and Cabernet? Do you give them the purest example of “L” ? Of a Cabernet? Learning depends on finding structure in variability. Need both positive and negative variations. But you can’t just throw contrasts at people
  • 43. Invention Activities orient to key features • Before a lesson on deviation in statistics • Ask students to develop “reliability index” for pitching machines • Students don’t need to discover right answer. Prepares them to “get it” when you give them lecture. * Schwartz, D. L., Bransford, J. D., Sears, D. L. (2005). Efficiency and innovation in transfer * Schwartz and Martin (2004), Inventing to Prepare for Future Learning
  • 44. Pitching machine example • Create a reliability index that differentiates between these different machines Implemented in high school Algebra 1. Himmelberger, K., & Schwartz, D. L. (2007). It’s a homerun! Using mathematical discourse to support the learning of statistics. Mathematics Teacher, 101(4), 250-256.
  • 45. A. Area covered by pitches B. Perimeter using grid marks C. Average distances between pairs of points D. Average distance from random point to all points E. Frequency of balls in each of 4 quadrants F. Average distance between all pairwise points
  • 46. Pitching redux • Wide variety of sophisticated solutions • Solutions themselves not critical • Generates discussion about how to handle aspects of variability • Prepares to understand formula • 9th graders after invention did better on test than college students after a semester of statistics! ave deviation = å x- X n
  • 47. Orienting Task: Inventing an Index Dan Schwartz
  • 48.
  • 49. Worksheet: Invention activities A. Crowded Clowns B. Popcorn Work through with two partners. 5 minutes.
  • 50. Thinking about it all Might you use an “invention activity” like this in your class? B.Definitely (why?) C.It depends (on what?) D.Definitely not (why not?) Are there other ways you use contrasting cases in your teaching? Are there other ways to let students “struggle towards meaning”?
  • 51. Summary of contrasting cases • Asking students to invent a description of different contrasting cases (e.g., crowded clown index) helps them learn the important features • Prepared them to learn from lecture, creating a “time for telling” • Helps them to transfer to new situations (but not necessarily in factual recall)
  • 52. Outline • What people know affects what they learn (context is important) • Preparing your students to learn • What we remember is affected by how our brain works (the limits of retention) If time • Motivation is important • Feedback is important
  • 53. How much do you remember from this talk already? Probably 10% of you remember any non-obvious fact from 15 minutes ago
  • 54. Working Memory Capacity VERY LIMITED! every added demand hurts learning (“cognitive load”) (remember/process max 4-7 unrelated items) Without great care, exceeded in almost every lecture. Mr. Anderson, May I be excused? My brain is full.
  • 55. What does help memory? Quiz: What is Traxoline? It’s a new form of… D.Montillation E.Quasel F.Zionter Testing is a learning event! G.Bracter
  • 56. H. Roediger, J. Karpicke Psych. Sci. Vol.17 pg 249
  • 57. Some interesting findings on studying… • Under time pressure, people study the easiest items • People often stop studying before they have learned the information • Spaced vs. massed practice is better • Self-testing is important • There are benefits to retrieval even if it fails, especially with corrective feedback Kornell and Bjork, The promise and perils of self-regulated study
  • 58. Implications • Provide opportunity for retrieval in lecture • Space repetitions across lecture/homework • Help students learn how to study
  • 59. Classroom application • What kinds of things might you do to help improve students’ memory of facts and vocabulary?
  • 60. Fin Slides will be at blog.sciencegeekgirl.com
  • 61. Outline • What people know affects what they learn (context is important) • Preparing your students to learn • What we remember is affected by how our brain works (the limits of retention) If time • Motivation is important • Feedback is important
  • 62. If you see no reason to learn, you won’t bother! • Learning takes effort • Why spend energy if there’s no reason? • Motivation is highly malleable!
  • 63. “This class is very hard and many of you will fail so you need to study really hard.” How do you think this affects university student motivation to learn the material? a. increases b. decreases Focus groups and interviews indicate is demotivating for university students. Psychology studies support.
  • 64. What does motivate? •What have you found to be the most motivating to students? •What did you think would be motivating but wasn’t? c.Subject relevance (meaningful context) d.Instructor attitude. (respect and challenge) “Subject hard for everyone, but all can master with effort, and my goal for course is for all of you to succeed.”
  • 65. Attitudes and Beliefs* Assessing the “hidden curriculum” - beliefs about physics and learning physics Examples: • “I study physics to learn knowledge that will be useful in life.” • “To learn physics, I only need to memorize solutions to sample problems” *Adams et al, (2006). Physical Review: Spec. Topics: PER, 0201010
  • 66. How do you think a single introductory physics class affects students beliefs about physics? A. Not much. Their beliefs are pretty well set by college. B. Some students probably come out with a slightly more positive view of physics C. It varies by students’ individual learning styles D. Something else
  • 67. Can we affect students’ beliefs? Shift (%) “CLASS” survey of Expert-like beliefs Real world connect... -6 Personal interest........ -8 The good news: yes… Sense making/effort... -12 Conceptual................ -11 Math understanding... -10 Problem Solving........ -7 Worse for Confidence................ -17 females! Nature of science....... +5 (All ±2%) Students come out of introductory classes with more negative views of physics than they came in with!
  • 68. why does this happen?
  • 69. Trad’l Model of Education Content Individual
  • 70. Expert Tutors * 1. Motivation major focus (context, pique curiosity,...)limited praise, never for person, all for process 3. Understands what students do and do not know ⇒ timely, specific, interactive feedback 5. Almost never tell students anything-- pose questions. 7. Mostly students answering questions & explaining. 9. Asking right questions so students challenged but can figure out. Systematic progression. 11. Let students make mistakes, then discover and fix. 13. Require reflection: how solved, explain, generalize,… *Lepper and Woolverton pg 135 in Improving Academic Achievement
  • 71. Classroom application • How might you help motivate students to learn the material?
  • 72. Outline • What people know affects what they learn (context is important) • Preparing your students to learn • What we remember is affected by how our brain works (the limits of retention) If time • Motivation is important • Feedback is important
  • 73. actively engaging students is important Learning is changing our brain “constructivism!”
  • 74. What makes an expert thinker? It’s not just that an expert knows more An expert thinks about a subject in different ways than a novice does “New wiring!” We can see that the brain changes through brain activation and imaging studies, and in what experts do
  • 75. Feedback helps with constructing our own understanding If we’re to change how we think, we need feedback on our thinking What does that mean? What kind of feedback is most helpful? How can students get it?
  • 76. No need for feedback in traditional model
  • 77. Feedback through formative assessment Compare and contrast what students experience during two different types of assessment activities. 2. Does the assessment help students gauge what they know? 3.Does the assessment build skills in feedback? 4.How does the assessment motivate students to learn the material? Adapted from Handelsman, Miller & Pfund, 2007
  • 78. It’s not about our teaching, it’s about student learning
  • 79. Conclusions • Educational practice is a researchable endeavor – We can make systematic progress – Imperative to include physicists • Possible to achieve dramatic repeated results • CU model strongly couples: – Reform and research – Education and physics • Sustaining & Scaling reforms is possible – Requires theoretical framing – Both CONTENT and CONTEXT matter
  • 80. Fin Much more at: per.colorado.edu

Notas do Editor

  1. Many Thanks… - Marty G. for ceding his spot… I look forward to it in the spring I’m excited to be speaking with you all today and will be focusing on the field of PER, the broad reseach lines, and some specifics… Basically a bit of the how, when where going of PER --- with the caveat that this is my take. 15 min intor - through CC (10 intro 5 CC) 20 min reps/ analoogy 15 min tutorials 2 min conclusion.
  2. Change Labels (Ack, Fac, etc..)
  3. Why physicists is implicit… need to make more explicit? Include APS backing etc? #’s stats… etc
  4. Why physicists is implicit… need to make more explicit? Include APS backing etc? #’s stats… etc
  5. Time for 30 seconds and see how far we get
  6. Time for 30 seconds and see how far we get
  7. Time for 30 seconds and see how far we get
  8. Galileo - Dialogues Concerning Two New Sciences (early part of 17th C) This is thrm 1 of 6
  9. In communication, new information should always be presented in familiar context = “given new principle”. As scientists, we carry context around with us, we have deep mental models of our discipline.
  10. Fact memorization is what a lot of students see as their job in science class. This is what they fall back on, without context. Physics is a collection of equations on dead leaves. Flip through equations like a set of leaves until one finds the right equation. Want a living tree instead. But how to promote creation of useful mental models of science?
  11. Need to flip over the E to see if there is an even number on other side Need to flip over 5 to see if there is mistakenly a vowel on the other side. Give out DVDs or pencils for giving an answer. Make sure to make it clear what the right answer is and why.
  12. But it’s hard to change existing mental models. You have to offer an alternative that better matches reality than the old model. This is why having students predict outcome of demos is good idea. Gives opportunity for conflict. And, not all students come in with well-defined mental models – sometimes you can just hook onto a vaguely formed idea.
  13. Bring up states of matter. Show real world stuff, and also scaffolding from simple to complex.
  14. Demonstrate “waves” to show scaffolding Show a chemistry sim – Gas Properties?
  15. Talk in your group about these two . Share out. Specific learning goals –both lessons have the same learning goals But this one meets our guidelines for example: First it, Connects to students’ experiences - cell phone Next there is a Connection to students’ knowledge – prediction in A. There are Minimal directions- B just says test, no specifics about sim features given Students are asked to reason and make sense Students self-check understanding- B To get the most out of this lesson, students would be working in collaborative groups.
  16. Analogy to lecturing… students can’t make meaning without the context of laundry… A problem with powerpoint?
  17. What do you see? Trace out the spiral Where is the spiral -- can it exist “decontextualized” I.e. w/o th ebackground?
  18. Show sim. Attend to real life Make visual constrain
  19. A. Analyze and graph data sets from classic memory experiements to find patterns. Requires analyzing contrasting cases. Then graph it again to see if missed patterns. Read book chapter and then write 1-2 page summary of ideas in chapter. Then hear lecture explaining experiments, results, and theories. Or, analyze and graph data, and then hear lecture on theory. Fact based test = “do people tend to remember the first thing they read?” To test this hypothesis, students in one condition analyzed the contrast-ing cases of data. In another condition, students read a modified book chapter that described the same studies and results (in words and graphs), and provided their theoretical significance. This latter group’s task was to write a one- to two-page summary of the important ideas in the chapter. A few days after students completed these tasks, both groups heard a com- mon lecture that explained the experiments, the results, and the theories that were designed to accommodate the results. The question was whether both groups of students had been equally prepared to learn from the lec- ture. We also included a third group that did not hear the lecture. This group also completed the data analysis activity, but instead of hearing the lecture, they analyzed the data a second time looking for any patterns they may have missed. All told, there were three conditions: Data Analysis + Lec- ture, Summarize Chapter + Lecture, Double Data Analysis.
  20. From Efficiency and Innovation in Transfer As an approach to solving this problem, we asked students to analyzeand graph simplified data sets from classic memory experiments to find the “interesting” patterns. Table 1.1 provides a sample of the data sets the students analyzed. Afterward, we asked them questions about what they had studied and compared their performance to other students who had not seen the data but had read summaries of the studies. For example, given the true–false question, “Do people tend to remember the first thing they read?”, students who had graphed the data did not do well compared to students who had written a summary of a chapter on memory. Thus, by a standard (replicative) assessment of knowledge, our method of instruction fared poorly. To assess whether the students learned from the lecture, we employedtwo assessments about a week later as part of a class exercise. The first assessment measured transfer by asking students to read the description of a novel experiment. The students’ task was to predict as many of the out- comes from the experiment as possible. Eight possible predictions were covered in the previous lessons (e.g., primacy). The second assessment used a recognition test that included factual assertions from the lecture. For example, “When people understand something they have read, they tend to remember it verbatim. True or false?”
  21. What if we add a transfer measure? A week later students received description of a novel experiment (no data). Had to predict outcomes, which were derivable from lecture. Very hard task, because the novel experiment was unlike what they had analyzed or read about.
  22. So: Data analysis group learned from lecture, because did better than graphing data only group And graphing the data adds something on top of just summarizing a chapter (= unguided active engagement)
  23. Without contrasts, it’s hard to know what information is relevant. what one notices about the circle depends on the contrast.  For example, the fact that it is not filled only becomes apparent when contrasted to the circle that is filled.  The information in the circle is infinite... it is on the projected screen, it is on earth, etc., etc., etc.  Without contrasts, it is hard to know what information is relevant.  Do not assume students already know what is relevant, given that is what you are trying to teach. Give them contrasts so they can figure it out.
  24. The example with chinese character and letter A.  For people who do not know chinese, it is very hard to see that it is the same character in all the instances.  However, with expertise (in english), it is easy to see that they are all the letter A.  The point is that experts can see the underlying structure despite variation in surface features.
  25. If students ask what reliability means, teacher encourages them to create definitely based upon characteristics a basebal coach would look for in purchasing a pitching machine. Uses contrasting cases. Different # of pitches so students notice solution has to handle different sample sizes. Prepares to understand why variability divide by n - Pitching machine with tight cluster of pitches, notice that variability is not the same thing as inaccuracy, which is a common confusion - There is more than one way to measure reliability, so they can generate many feasible solutions This is a form of exploratory behavior. Productive activities to get them to notice and account for contrasts. teracting with each group. We do not encourage teachers to guide students to the conventional solution, because this can shortcut the students’ opportunity to de- velop the prior knowledge that will help them understand the conventional solution at a later time. Instead, we suggest three primary moves for the teachers, which am- plify the three benefits of production previously stated. One move is to ask the stu- dents to explain what they are doing. This places a premium on clarity and consis- tency. A second move is to ask students whether the results of their mathematical procedures correspond to their “common sense.” This ensures that students pay at- tention to specific symbol-referent mappings, instead of simply computing arbi- trary values. The third move is to push students towards more general solutions. The teacher encourages the students to find solutions that generalize across differ- ent legitimate configurations of quantity.
  26. College students solve transfer problem 12% of time; HS students 34%
  27. :  The blue circles show that the examples differ on the surface, but the have the same ratio.  The red circles make a nice example of a contrasting case at work.  Most students start this by just counting the number of clowns.  But, by looking at the clowns in the red circles they discover that 2 can't be the right answer for both of them.   Using contrasting cases. Like tasting glasses of wine side by side, helps people notice aspects of a situation they might otherwise overlook
  28. Why physicists is implicit… need to make more explicit? Include APS backing etc? #’s stats… etc
  29. Spaced vs massed study. 1 hr for 5 days not 5 hrs for one day We learn by being tested, by retrieval. Explaining is a form of retrieval
  30. Need to flip over the E to see if there is an even number on other side Need to flip over 5 to see if there is mistakenly a vowel on the other side. Give out DVDs or pencils for giving an answer.
  31. Had students study a text, and then study it again. How much do they remember?
  32. When no time pressure, spend time on more difficult items, which will take longer. With time pressure, study those things more proximal to learning. Often drop flashcards that they don’t really know. Will drop after one successful recall, but they are close to knowing those. Spaced study (e.g., pictures by an artist are interleaved) rather than massed (all shown at once) produces better learning. Self-testing is important, but should make retrieval difficult. But if fail to retrieve, doesn’t help recall. Overall, students do whatever is more urgent, and don’t study strategically. Learning by triage rather than what is most effecitve.
  33. Why physicists is implicit… need to make more explicit? Include APS backing etc? #’s stats… etc
  34. Study showed that trait of experts is that they work hard Survival trail
  35. NOT AFFECT
  36. Do we have any chaance of affecting student attitudes /beliefs: good news: yes Bad news worse
  37. Demotivating, and gives the wrong message about what science is about.
  38. Why physicists is implicit… need to make more explicit? Include APS backing etc? #’s stats… etc
  39. Timely specific feedback Tests, homework, peers, clicker questions