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    Rethinking Physics for Biologists:
    Considering Value Added
              Edward F. Redish
              University of Maryland
+                                                           2


    To help me tune this talk

      How   do you identify yourself professionally?
    1.  As a physicists
    2.  As a biologist
    3.  As a biophysicist
    4.  As a chemist
    5.  As something else.
NDSU                                                    10/7/11
+                                   3


    What is the field of your
    undergraduate training?
    1.  Physics
    2.  Biology
    3.  Chemistry
    4.  Engineering
    5.  Mathematics

NDSU                            10/7/11
Some speculations –
          + opening a conversation
            on interdisciplinary education




10/7/11     NDSU                             4
+                                                    5


    Biology is changing
        Overthe past decade, biologists
        have begun to call for a major reform
        of undergraduate biology education.
        Partof this reform is to include
        more math, chemistry, and physics
        in bio classes.
        Partis a call for making math, chemistry,
        and physics classes more relevant
        to bio students.


NDSU                                             10/7/11
+                                                                        6

    Some comments from the leadership.

      Biology is rapidly becoming a science that demands more
       intense mathematical and physical analysis than biologists
       have been accustomed to, and such analysis will be required
       to understand the workings of cells.
           (H. Varmus, APS News, 1999)

      The  departmental structures at most universities seem to have
       thus far prevented any major rethinking of what preparation in
       mathematics, what preparation in physics, and what
       preparation in chemistry is most appropriate for either
       research biologists or the medical doctors who will be working
       10 or 20 years from now. The result is a major mismatch
       between what today’s students who are interested in biology
       should be learning and the actual course offerings that are
       available to them.
          (B. Alberts, Cell, 1998)
NDSU                                                                 10/7/11
+                                                  7


Calls for Bio Education Reform




       NAS 2003


                  HHMI-AAMC 2008
                                   AAAS 2009

NDSU                                           10/7/11
+                                                                        8


    Comments from the reports
      Life sciences majors must acquire a much stronger
       foundation in the physical sciences (chemistry and
       physics) and mathematics than they now get.
       Connections between biology and the other scientific
       disciplines need to be developed and reinforced so that
       interdisciplinary thinking and work become second
       nature. (BIO 2010, 2003)
      One  goal of this project is to provide greater flexibility
       in the premedical curriculum that would permit
       undergraduate institutions to develop more
       interdisciplinary and integrative science courses,
       as recommended in the BIO 2010 report. By focusing on
       scientific competencies rather than courses,
       undergraduate institutions will have more freedom
       to develop novel courses…(AAMC-HHMI report, 2009)

NDSU                                                                 10/7/11
+ Can we teach physics to                            9



  biologists in a way that adds
  value for them?

     What    content should we teach?
     What    are the barriers to constructing
       an effective course?
     What    do we need to do to create
       effective inter- or trans-disciplinary
       instruction?
NDSU                                             10/7/11
+                                                       10


    A speculation

      Achieving   this inter-disciplinarity
       is going to be harder than it looks!
      Disciplines   are disciplines for a reason.




NDSU                                                 10/7/11
+                                                    11


    Project NEXUS
         National
                 Experiment
        in Undergraduate Science Education
          A 4-year
                  $1.8 M project
         of the Howard Hughes Medical Institute

         Interdisciplinary
                        science education
        stressing competency building
          UMCP   (physics)
          UMBC (math for bio)
          Purdue (chemistry)
          University of Miami
           (capstone case study synthesis)
NDSU                                              10/7/11
+                                                         12


 Interdisciplinary conversations
      As  part of our role in project NEXUS,
       we have begun to hold extended
       interdisciplinary conversations.
         A majortask of each group is to negotiate
        with biologists the content and competencies
        on which the courses will focus.
      In addition, for a CCLI project, we have
       been interviewing biology students in a
       course in organismal biology that uses
       significant physics.

NDSU                                                   10/7/11
+                                 Biologists               13

    Discussants                    Todd Cooke
                                   Jeff Jensen
        Physicists
                                   Karen Carleton
            Joe Redish            Joelle Presson
            Wolfgang Losert       Kaci Thompson
            Catherine Crouch      Marco Colombini
            Jessica Watkins       Kristi Hall-Burke
            Chandra Turpen
            Ben Dreyfus          Education Specialists
            Michael Fisher        Janet Coffey

            Peter Shawhan         Dan Levin
                                   Jen Richards
                                   Julia Svoboda

NDSU
                                   Gili Marbach-Ad    10/7/11
+                                                    14


    Some early observations

      These   conversations have turned up
       differences among the professionals
       in the different disciplines (and even
       within the disciplines).
      Our  interviews with biology students
       show expectations and perceptions of
       the disciplines that can affect how they
       react to “interdisciplinization”.
NDSU                                              10/7/11
+                                           15


    What does it mean to…

      …   think like a physicist?
      …   think like a biologist?
      …   think like a chemist?
      …   think like a mathematician?


NDSU                                     10/7/11
+
              Physics


10/7/11       NDSU      16
+                                                      17


    Conjecture

      One   reason for the difficulty of getting
       more physics into bio and vice versa
       is epistemological – having to do
       with the nature and the structuring of
       the knowledge in the two professions.
     This  plays out both in the attitudes
       of faculty and through student
       expectations.

NDSU                                                10/7/11
+                                                   18

    Thinking about teaching
    physics…

   “Physics     should be as simple as
       possible – but not simpler.” (Einstein)
   “The       physics we are
       learning in this class
       is simple – but seeing
       that it is simple
       can be exceedingly
       difficult.” (Redish)

NDSU                                             10/7/11
+                                                         19


    Physics simplicity
      We  always seek to start with the simplest
       example and understand it thoroughly.
      This serves as the “stake in the ground”
       to use to organize our later thinking
       about more complex systems.
      We   work from a few clear (nearly) universal
       principles and tie everything to them – often
       deriving dozens of equations from one
       starting point – plus assumptions about
       situations and initial conditions.

NDSU                                                   10/7/11
+                                    20


    The first half of Physics I




NDSU                              10/7/11
+                                                           21


    Physics tries to establish
    a simple core
      Although      there is a lot to do to interpret
       all this, it both ties to everyday
       experience and has a small number
       of ideas and relations that organize
       the complexity of the material.
      Bio   looks different.


NDSU                                                     10/7/11
+                                                22


    Does physics oversimplify?

      Pressure        story
      Chemical        energy?
      Should  intro physics for biologists
       discuss chemical energy?
           1. Yes
           2. Maybe
           3. No


NDSU                                          10/7/11
+                                                               23


    Physics
       Intro physics often stresses reasoning
       from a few fundamental principles.

    Physicists  often stress building a complete
       understanding of the simplest possible examples –
       and often don’t go beyond them at the introductory level.

      Physicists often quantify their view
       of the physical world and model with math.

      Physicists think with equations.

       Introductory physics typically restricts itself
       to the macroscopic level and almost never considers
       chemical energy
NDSU                                                         10/7/11
+         24




NDSU   10/7/11
+
              Biology


10/7/11       NDSU      25
+                                                     26

    Thinking about teaching
    biology…
      Biology   seems irreducibly complex.
      Every living organism involves
       thousands of chemicals and tens of
       thousands of reactions. (More? OK)
     Biology   has a “historicity” that physics
       lacks. It could, in principle, have
       happened some other way.

NDSU                                               10/7/11
+                                                              27


    Problem
      Biological systems larger than
       the simplest viruses have complex
       structures at a multiplicity of levels.
      Even   beginning to talk about a
       complex biological system requires
       learning a large new (and arbitrary)
       vocabulary.
        Technical words in intro physics are often based
        on terms in everyday speech. While this causes
        some confusion, it also gives an interpretive foothold.
NDSU                                                        10/7/11
+                                                       28


    Pinky and the Brain




        http://www.youtube.com/watch?v=Li5nMsXg1Lk

NDSU                                                 10/7/11
+                                                               29


    Biology
        By its very choice of subject biology is complex.
        Most introductory biology is qualitative.
        Biology is fundamentally historical.
         Much of introductory biology is descriptive
         (and introduces a large vocabulary) though
      Biology   – even at the introductory level –
         looks for mechanism and frequently considers
         micro to macro connections.
      Chemistry   is much more important to intro bio
         than physics (or math).
NDSU                                                         10/7/11
+
              Math


10/7/11       NDSU   30
+                                                                    31


    An epistemological difference
    with a practical implication!
        A big problem for our students – both for the physics
         majors and the math majors – is that the math in
         math class doesn’t look like the math in their science
         classes.

         Math class math focuses on making the math they
         are learning as clean and simple as possible to the
         structure of the mathematical issue being discussed
         can be seen.

         Few instructors on either side seem to appreciate
         the cognitive load associated with seeing the “simple
         math” when it is imbedded in complex relationships.
NDSU                                                              10/7/11
+                                                 32


    Disciplinary barriers:
    Math - Science
      My   physics colleagues teaching
       the majors have complained to me
       for many years that our math
       pre-requisites don’t seem to be doing
       the job for our students. Why?




NDSU                                           10/7/11
+                                                     33


    Math as taught in math is not
    the math we need in science.
      In physics we use math to compute
       solutions and to represent relationships.
      In  bio, they use math largely to represent
       relationships and identify critical parameters.
      In   math, well...



NDSU                                               10/7/11
+ From a math exam in a calculus course                  34



   designed explicitly for bio majors

   The population density of trout in a stream is
                            1+ x
                   r(x) = 20 2
                            x +1
   where r is measured in trout per mile and x is
   measured in miles. x runs from 0 to 10.
   (a)  Write an expression for the total number of
        trout in the stream. Do not compute it.
   (b)  …

NDSU                                                  10/7/11
+                                             35


    What do you think r(x) = 20 1 + x
                                x +1   2

    about this equation?
    1.  Please don’t let them
       do this ever again!
    2.  It dislike it. It interferes
       with what I try to teach.
    3.  I don’t mind it.
       It can be ignored.
    4.  You’re making a fuss
       over nothing. Get a life!

NDSU                                       10/7/11
+                                                                      36

    To most physicists such an
    equation is deeply wrong!
         The numbers in the equation: “1”, “1”, and “20” represent
         three different kinds of physical objects that are measured
         in different ways.

        If European biologists decided to apply the equation, they
         are likely to measure x in kilometers rather than miles and
         get an incorrect answer.

         If the point of an equation is accurate communication,
         that equation is malicious. Instead of encouraging a
         precise interpretation, it explicitly encourages errors.
         (Sort of like using the same symbol to mean
         two different variables in the same equation.)
NDSU                                                                10/7/11
+                                                                    37

    To most mathematicians
    fussing about units is wrong!
      The mathematicians I have spoken to about this
       brush it off. (anecdotal evidence – not research)

      They  see the point of teaching the math to focus cleanly
       on the the structure of the mathematical relationships and
       the rigor (or at least the “honorable-ness”) of the proof.

      They are not used to thinking of the variables in their
       problems as measurements that have to be interpreted
       physically in order to make sense of an equation.

      Adding  such an additional level of complexity distracts
       from the main point of teaching the math.
NDSU                                                              10/7/11
+                                                                38

    Furthermore, on this math exam
  There     are 5 problems, each with 3-6 parts.
  There    is no problem that contains even a single
       symbol representing a parameter.
  Every     problem has a single letter representing
       an independent variable and a single letter
       representing a dependent variable.
                 I challenge you to find a single equation
                 among the thousands of equations in an
                 introductory physics text (or the dozen
                 or so in an intro bio text) that satisfies
                 these conditions!
NDSU                                                          10/7/11
+                                                               39


     Mathematics

    Mathematics is about mathematical structures
     and abstract relationships. It’s not “about” anything
     physical.
     When we map physical meaning onto a
     mathematical structure, we inherit the mathematical
     tools that go with that structure – but that restricts
     our interpretation and freedom to use those tools.
 The     transition to applications may be more
     challenging for students than those of us who
     have mastered the “hidden rules” of
     math-in-science might expect.

NDSU                                                         10/7/11
+                                                                 40

     Implications of epistemological
     differences between disciplines
 Faculty in different disciplines don’t communicate
  well concerning service courses – if at all.
    When  they do, they may not understand each other.
    Service courses may not serve – or connect.


 Students taking courses in multiple disciplines
  may not understand why they need them.
    They   may “silo” – refusing to transfer.
    They    may resist efforts to bring in knowledge across
       disciplines
NDSU                                                           10/7/11
+
              Building Bridges


10/7/11       NDSU               41
+                                                                   42


    Designing a physics course
    for biologists
      In designing a new physics class
       specifically for biologists
       we want the course to
         contain  physics content that is useful for bio
         instructors teaching upper division bio classes;
         help students develop general scientific thinking
         and reasoning skills and competencies;
         “feel” biologically authentic to the students in the
         class – that is, they see that learning this physics
         helps them make sense of and better understand
         important results they have learned in biology.
NDSU                                                             10/7/11
+                                                                  43


    It’s not so easy!
      A lot of critically important physics
       for biology is complex and relies
       on a lot of other physics.
         Wecan’t just do the groundwork and assume they will
        teach the later physics in upper division bio.

      A lot of critically important physics for
       biology relies on macro-micro connections.
         We   can’t just stick to basic macro treatments.

     We   need to figure out what to leave out
       as well as what to include!
NDSU                                                            10/7/11
+                                                                       44


    Our decisions
      Present  the class as a second year class
       with prerequisites
         two semesters of bio (some intro so cellular, molecular,
         evolutionary, and ecological bio)
         one semester of chemistry
         one year of math (basic calculus and probability)

      Rely   on a familiarity with biological
       systems and language to replace
       traditional macro examples by micro ones.
      Rely   on a familiarity with chemistry
       to include chemical energy
       and molecular modeling.
NDSU                                                                 10/7/11
+                                                            45


    Physics / Biology Barriers: 1

      Even   biologists who want to use physics
       in their bio classes might be satisfied
       in choosing bits and pieces and ignoring
       coherence and deep structure.
         “You    don’t need to study forces in physics
            for biologists. Just teach energy.”
            “Most of the places where we need physics
            takes place in fluids where Newton’s laws
            don’t hold.”


NDSU                                                      10/7/11
+                                                                   46


    Physics / Biology Barriers: 2

      Even  biologists who want to use
       physics in their bio classes may reason
       with physics differently than physicists
       do.

           “The worm problem” – an example of trying to be
            authentic to both physics and biology in the first
            week of class (dimensional analysis and scaling).


NDSU                                                             10/7/11
+                                                                    47


    Dimensional analysis, units,
    and scaling
         Authentic physics
             One of the basic tools in “thinking like a
              physicist.”
         Authentic biology
           Scaling and functional dependence plays a crucial
           role in a lot of biological processes.
           Rated of as one of the most important topics
           in physics in Ratings of the Importance of Topics in
           the Natural Sciences, Research Methods,
           Statistics, and Behavioral Sciences to Success in
           Medical School (AAMC, 2010).

NDSU                                                              10/7/11
+ A problem posed                                                        48




     by a biologist for a bio class
 




 http://umdberg.pbworks.com/w/page/42353834/How%20big%20is%20a%20worm%20-B
 NDSU                                                                 10/7/11
+ Rewritten by a physicist                                                49




   for a physics class




   http://umdberg.pbworks.com/w/page/42294962/How%20big%20is%20a%20worm
NDSU                                                                  10/7/11
+                                                        50


    What did we learn
    from this activity?
      Biologists     and physicists look at things
       differently.
      These   are not trivial differences.
      How   will this play out with students?
      Students   are aware of these differences
       early – indeed, sometimes they select
       their choice of science in part because of
       their perceptions of these differences.

NDSU                                                  10/7/11
+ Physics / Biology Barriers: 3                                   51


   Biology students bring expectations
   to their physics and biology classes.
       Ashlyn prefers silos   Ellen prefers staying concrete




NDSU                                                           10/7/11
+                                                      52


    Conclusion
      Creating   a physics course for biologists
       that “looks right” (authentic) to both
       biologists and physicists is going to be
       a challenge, both in content
       and in epistemology – the way we each
       look at knowledge.
      Student    expectations can play a major
       role, yielded unexpected resistances
       and failures to connect.
      But   it’ll be fun, right?
NDSU                                                10/7/11

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Rethinking physics for biologists

  • 1. + Rethinking Physics for Biologists: Considering Value Added Edward F. Redish University of Maryland
  • 2. + 2 To help me tune this talk   How do you identify yourself professionally? 1.  As a physicists 2.  As a biologist 3.  As a biophysicist 4.  As a chemist 5.  As something else. NDSU 10/7/11
  • 3. + 3 What is the field of your undergraduate training? 1.  Physics 2.  Biology 3.  Chemistry 4.  Engineering 5.  Mathematics NDSU 10/7/11
  • 4. Some speculations – + opening a conversation on interdisciplinary education 10/7/11 NDSU 4
  • 5. + 5 Biology is changing  Overthe past decade, biologists have begun to call for a major reform of undergraduate biology education.  Partof this reform is to include more math, chemistry, and physics in bio classes.  Partis a call for making math, chemistry, and physics classes more relevant to bio students. NDSU 10/7/11
  • 6. + 6 Some comments from the leadership.   Biology is rapidly becoming a science that demands more intense mathematical and physical analysis than biologists have been accustomed to, and such analysis will be required to understand the workings of cells. (H. Varmus, APS News, 1999)   The departmental structures at most universities seem to have thus far prevented any major rethinking of what preparation in mathematics, what preparation in physics, and what preparation in chemistry is most appropriate for either research biologists or the medical doctors who will be working 10 or 20 years from now. The result is a major mismatch between what today’s students who are interested in biology should be learning and the actual course offerings that are available to them. (B. Alberts, Cell, 1998) NDSU 10/7/11
  • 7. + 7 Calls for Bio Education Reform NAS 2003 HHMI-AAMC 2008 AAAS 2009 NDSU 10/7/11
  • 8. + 8 Comments from the reports   Life sciences majors must acquire a much stronger foundation in the physical sciences (chemistry and physics) and mathematics than they now get. Connections between biology and the other scientific disciplines need to be developed and reinforced so that interdisciplinary thinking and work become second nature. (BIO 2010, 2003)   One goal of this project is to provide greater flexibility in the premedical curriculum that would permit undergraduate institutions to develop more interdisciplinary and integrative science courses, as recommended in the BIO 2010 report. By focusing on scientific competencies rather than courses, undergraduate institutions will have more freedom to develop novel courses…(AAMC-HHMI report, 2009) NDSU 10/7/11
  • 9. + Can we teach physics to 9 biologists in a way that adds value for them?   What content should we teach?   What are the barriers to constructing an effective course?   What do we need to do to create effective inter- or trans-disciplinary instruction? NDSU 10/7/11
  • 10. + 10 A speculation   Achieving this inter-disciplinarity is going to be harder than it looks!   Disciplines are disciplines for a reason. NDSU 10/7/11
  • 11. + 11 Project NEXUS   National Experiment in Undergraduate Science Education   A 4-year $1.8 M project of the Howard Hughes Medical Institute   Interdisciplinary science education stressing competency building   UMCP (physics)   UMBC (math for bio)   Purdue (chemistry)   University of Miami (capstone case study synthesis) NDSU 10/7/11
  • 12. + 12 Interdisciplinary conversations   As part of our role in project NEXUS, we have begun to hold extended interdisciplinary conversations.   A majortask of each group is to negotiate with biologists the content and competencies on which the courses will focus.   In addition, for a CCLI project, we have been interviewing biology students in a course in organismal biology that uses significant physics. NDSU 10/7/11
  • 13. +   Biologists 13 Discussants   Todd Cooke   Jeff Jensen  Physicists   Karen Carleton   Joe Redish   Joelle Presson   Wolfgang Losert   Kaci Thompson   Catherine Crouch   Marco Colombini   Jessica Watkins   Kristi Hall-Burke   Chandra Turpen   Ben Dreyfus   Education Specialists   Michael Fisher   Janet Coffey   Peter Shawhan   Dan Levin   Jen Richards   Julia Svoboda NDSU   Gili Marbach-Ad 10/7/11
  • 14. + 14 Some early observations   These conversations have turned up differences among the professionals in the different disciplines (and even within the disciplines).   Our interviews with biology students show expectations and perceptions of the disciplines that can affect how they react to “interdisciplinization”. NDSU 10/7/11
  • 15. + 15 What does it mean to…   … think like a physicist?   … think like a biologist?   … think like a chemist?   … think like a mathematician? NDSU 10/7/11
  • 16. + Physics 10/7/11 NDSU 16
  • 17. + 17 Conjecture   One reason for the difficulty of getting more physics into bio and vice versa is epistemological – having to do with the nature and the structuring of the knowledge in the two professions.  This plays out both in the attitudes of faculty and through student expectations. NDSU 10/7/11
  • 18. + 18 Thinking about teaching physics…   “Physics should be as simple as possible – but not simpler.” (Einstein)   “The physics we are learning in this class is simple – but seeing that it is simple can be exceedingly difficult.” (Redish) NDSU 10/7/11
  • 19. + 19 Physics simplicity   We always seek to start with the simplest example and understand it thoroughly.   This serves as the “stake in the ground” to use to organize our later thinking about more complex systems.   We work from a few clear (nearly) universal principles and tie everything to them – often deriving dozens of equations from one starting point – plus assumptions about situations and initial conditions. NDSU 10/7/11
  • 20. + 20 The first half of Physics I NDSU 10/7/11
  • 21. + 21 Physics tries to establish a simple core   Although there is a lot to do to interpret all this, it both ties to everyday experience and has a small number of ideas and relations that organize the complexity of the material.   Bio looks different. NDSU 10/7/11
  • 22. + 22 Does physics oversimplify?   Pressure story   Chemical energy?   Should intro physics for biologists discuss chemical energy?   1. Yes   2. Maybe   3. No NDSU 10/7/11
  • 23. + 23 Physics   Intro physics often stresses reasoning from a few fundamental principles.   Physicists often stress building a complete understanding of the simplest possible examples – and often don’t go beyond them at the introductory level.   Physicists often quantify their view of the physical world and model with math.   Physicists think with equations.   Introductory physics typically restricts itself to the macroscopic level and almost never considers chemical energy NDSU 10/7/11
  • 24. + 24 NDSU 10/7/11
  • 25. + Biology 10/7/11 NDSU 25
  • 26. + 26 Thinking about teaching biology…   Biology seems irreducibly complex.   Every living organism involves thousands of chemicals and tens of thousands of reactions. (More? OK)  Biology has a “historicity” that physics lacks. It could, in principle, have happened some other way. NDSU 10/7/11
  • 27. + 27 Problem   Biological systems larger than the simplest viruses have complex structures at a multiplicity of levels.   Even beginning to talk about a complex biological system requires learning a large new (and arbitrary) vocabulary. Technical words in intro physics are often based on terms in everyday speech. While this causes some confusion, it also gives an interpretive foothold. NDSU 10/7/11
  • 28. + 28 Pinky and the Brain http://www.youtube.com/watch?v=Li5nMsXg1Lk NDSU 10/7/11
  • 29. + 29 Biology   By its very choice of subject biology is complex.   Most introductory biology is qualitative.   Biology is fundamentally historical.   Much of introductory biology is descriptive (and introduces a large vocabulary) though   Biology – even at the introductory level – looks for mechanism and frequently considers micro to macro connections.   Chemistry is much more important to intro bio than physics (or math). NDSU 10/7/11
  • 30. + Math 10/7/11 NDSU 30
  • 31. + 31 An epistemological difference with a practical implication!   A big problem for our students – both for the physics majors and the math majors – is that the math in math class doesn’t look like the math in their science classes.   Math class math focuses on making the math they are learning as clean and simple as possible to the structure of the mathematical issue being discussed can be seen.   Few instructors on either side seem to appreciate the cognitive load associated with seeing the “simple math” when it is imbedded in complex relationships. NDSU 10/7/11
  • 32. + 32 Disciplinary barriers: Math - Science   My physics colleagues teaching the majors have complained to me for many years that our math pre-requisites don’t seem to be doing the job for our students. Why? NDSU 10/7/11
  • 33. + 33 Math as taught in math is not the math we need in science.   In physics we use math to compute solutions and to represent relationships.   In bio, they use math largely to represent relationships and identify critical parameters.   In math, well... NDSU 10/7/11
  • 34. + From a math exam in a calculus course 34 designed explicitly for bio majors The population density of trout in a stream is 1+ x r(x) = 20 2 x +1 where r is measured in trout per mile and x is measured in miles. x runs from 0 to 10. (a)  Write an expression for the total number of trout in the stream. Do not compute it. (b)  … NDSU 10/7/11
  • 35. + 35 What do you think r(x) = 20 1 + x x +1 2 about this equation? 1.  Please don’t let them do this ever again! 2.  It dislike it. It interferes with what I try to teach. 3.  I don’t mind it. It can be ignored. 4.  You’re making a fuss over nothing. Get a life! NDSU 10/7/11
  • 36. + 36 To most physicists such an equation is deeply wrong!   The numbers in the equation: “1”, “1”, and “20” represent three different kinds of physical objects that are measured in different ways.   If European biologists decided to apply the equation, they are likely to measure x in kilometers rather than miles and get an incorrect answer.   If the point of an equation is accurate communication, that equation is malicious. Instead of encouraging a precise interpretation, it explicitly encourages errors. (Sort of like using the same symbol to mean two different variables in the same equation.) NDSU 10/7/11
  • 37. + 37 To most mathematicians fussing about units is wrong!   The mathematicians I have spoken to about this brush it off. (anecdotal evidence – not research)   They see the point of teaching the math to focus cleanly on the the structure of the mathematical relationships and the rigor (or at least the “honorable-ness”) of the proof.   They are not used to thinking of the variables in their problems as measurements that have to be interpreted physically in order to make sense of an equation.   Adding such an additional level of complexity distracts from the main point of teaching the math. NDSU 10/7/11
  • 38. + 38 Furthermore, on this math exam  There are 5 problems, each with 3-6 parts.  There is no problem that contains even a single symbol representing a parameter.  Every problem has a single letter representing an independent variable and a single letter representing a dependent variable. I challenge you to find a single equation among the thousands of equations in an introductory physics text (or the dozen or so in an intro bio text) that satisfies these conditions! NDSU 10/7/11
  • 39. + 39 Mathematics   Mathematics is about mathematical structures and abstract relationships. It’s not “about” anything physical.   When we map physical meaning onto a mathematical structure, we inherit the mathematical tools that go with that structure – but that restricts our interpretation and freedom to use those tools.  The transition to applications may be more challenging for students than those of us who have mastered the “hidden rules” of math-in-science might expect. NDSU 10/7/11
  • 40. + 40 Implications of epistemological differences between disciplines  Faculty in different disciplines don’t communicate well concerning service courses – if at all.   When they do, they may not understand each other.   Service courses may not serve – or connect.  Students taking courses in multiple disciplines may not understand why they need them.   They may “silo” – refusing to transfer.   They may resist efforts to bring in knowledge across disciplines NDSU 10/7/11
  • 41. + Building Bridges 10/7/11 NDSU 41
  • 42. + 42 Designing a physics course for biologists   In designing a new physics class specifically for biologists we want the course to   contain physics content that is useful for bio instructors teaching upper division bio classes;   help students develop general scientific thinking and reasoning skills and competencies;   “feel” biologically authentic to the students in the class – that is, they see that learning this physics helps them make sense of and better understand important results they have learned in biology. NDSU 10/7/11
  • 43. + 43 It’s not so easy!   A lot of critically important physics for biology is complex and relies on a lot of other physics.   Wecan’t just do the groundwork and assume they will teach the later physics in upper division bio.   A lot of critically important physics for biology relies on macro-micro connections.   We can’t just stick to basic macro treatments.  We need to figure out what to leave out as well as what to include! NDSU 10/7/11
  • 44. + 44 Our decisions   Present the class as a second year class with prerequisites   two semesters of bio (some intro so cellular, molecular, evolutionary, and ecological bio)   one semester of chemistry   one year of math (basic calculus and probability)   Rely on a familiarity with biological systems and language to replace traditional macro examples by micro ones.   Rely on a familiarity with chemistry to include chemical energy and molecular modeling. NDSU 10/7/11
  • 45. + 45 Physics / Biology Barriers: 1   Even biologists who want to use physics in their bio classes might be satisfied in choosing bits and pieces and ignoring coherence and deep structure.   “You don’t need to study forces in physics for biologists. Just teach energy.”   “Most of the places where we need physics takes place in fluids where Newton’s laws don’t hold.” NDSU 10/7/11
  • 46. + 46 Physics / Biology Barriers: 2   Even biologists who want to use physics in their bio classes may reason with physics differently than physicists do.   “The worm problem” – an example of trying to be authentic to both physics and biology in the first week of class (dimensional analysis and scaling). NDSU 10/7/11
  • 47. + 47 Dimensional analysis, units, and scaling   Authentic physics   One of the basic tools in “thinking like a physicist.”   Authentic biology   Scaling and functional dependence plays a crucial role in a lot of biological processes.   Rated of as one of the most important topics in physics in Ratings of the Importance of Topics in the Natural Sciences, Research Methods, Statistics, and Behavioral Sciences to Success in Medical School (AAMC, 2010). NDSU 10/7/11
  • 48. + A problem posed 48 by a biologist for a bio class   http://umdberg.pbworks.com/w/page/42353834/How%20big%20is%20a%20worm%20-B NDSU 10/7/11
  • 49. + Rewritten by a physicist 49 for a physics class http://umdberg.pbworks.com/w/page/42294962/How%20big%20is%20a%20worm NDSU 10/7/11
  • 50. + 50 What did we learn from this activity?   Biologists and physicists look at things differently.   These are not trivial differences.   How will this play out with students?   Students are aware of these differences early – indeed, sometimes they select their choice of science in part because of their perceptions of these differences. NDSU 10/7/11
  • 51. + Physics / Biology Barriers: 3 51 Biology students bring expectations to their physics and biology classes. Ashlyn prefers silos Ellen prefers staying concrete NDSU 10/7/11
  • 52. + 52 Conclusion   Creating a physics course for biologists that “looks right” (authentic) to both biologists and physicists is going to be a challenge, both in content and in epistemology – the way we each look at knowledge.   Student expectations can play a major role, yielded unexpected resistances and failures to connect.   But it’ll be fun, right? NDSU 10/7/11