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Physics Education Research
                    The University of Edinburgh




Diagnosing Student Understanding of
     Data Analysis Techniques


             Simon Bates       Ross Galloway
                    Helen Maynard-Casely
             Hilary Singer      Kate Slaughter

Physics Education Research Group, University of Edinburgh, UK



              AAPT Summer Meeting 2011, Omaha NE, Aug 2011
Physics Education Research
                    The University of Edinburgh


Outline

 •  Why investigate data handling skills?

 •  Development of the diagnostic

 •  Student performance on the diagnostic

 •  Development of supporting resources

 •  Summary
Physics Education Research
                  The University of Edinburgh


Labs: the implicit curriculum
                   •  In practical work, we expect students
                      to acquire data analysis skills in
                      parallel to practical abilities.
                   •  Frequently, these generic skills are not
                      explicitly taught and not effectively
                      assessed.
Physics Education Research
  The University of Edinburgh


       Higher Education Academy
       Student Employability Profiles
Physics Education Research
                  The University of Edinburgh


Typical question (from UBC pre-prototype)
Physics Education Research
  The University of Edinburgh




                                A!
Physics Education Research
  The University of Edinburgh




                                B!
Physics Education Research
  The University of Edinburgh




                                C!
Physics Education Research
  The University of Edinburgh




                                D!
Physics Education Research
  The University of Edinburgh




          A!



                                B!




          C!
                                     D!
Physics Education Research
                The University of Edinburgh


Response profiles
from Edinburgh
Physics classes




                                          No statistically
                                          significant difference
                                          between 1st, 2nd and
                                          4th year classes.
Physics Education Research
                    The University of Edinburgh

Where we went from here…


 •  Build on pre-prototype UBC instrument.

 •  Expand number of questions, increase scope.

 •  Ensure generic nature so wide applicability:
    physics, chemistry, engineering, other STEM, etc.

 •  Ensure test is robust and reliable.
Physics Education Research
                The University of Edinburgh


Diagnostic test development process




                                              Beichner R. J., (1994)
                                              Am. J. Physics 62, 750.
Physics Education Research
                    The University of Edinburgh

Data Handling Diagnostic – prototype test instrument
    23 item MCQ test to address generic
    data analysis skills. Wide applicability
    to all STEM disciplines.
    Topics covered include:
                             o  precision and accuracy
                             o  approximations
                             o  lines of best fit
                             o  errors and uncertainties
                             o  derivation of quantitative
                             relationships from graphical data
Physics Education Research
                      The University of Edinburgh

Trial phase deployment

•  Prototype test taken
   by > 1200 students
•  Test deployed in 10
   institutions across UK
   and Ireland (7
   Physics & 4
   Chemistry depts.)
•  Test deployed to all
   undergraduate years
   (1st – 5th)
Physics Education Research
                       The University of Edinburgh


Validity and reliability evaluation
      Validity
      •  test covers appropriate range of skills
      •  test does actually evaluate what you intended
      Reliability
      •  degree of consistency between scores when
         test repeated
      •  test has ability to discriminate student ability

      Employ statistical tests and analysis, for
       individual items and for whole test.
      e.g. BEMA: Phys. Rev. Spec. Topics PER 2 010105 (2006)	
  	
  
      DHD found to perform satisfactorily
Physics Education Research
                 The University of Edinburgh

Student performance from the trial deployment
Physics Education Research
  The University of Edinburgh
Physics Education Research
  The University of Edinburgh
Physics Education Research
  The University of Edinburgh
Physics Education Research
  The University of Edinburgh
Physics Education Research
  The University of Edinburgh
Physics Education Research
       The University of Edinburgh




‘Phase space’ of class response profiles
Physics Education Research
  The University of Edinburgh
Physics Education Research
       The University of Edinburgh




                          PG




‘Phase space’ of class response profiles
Physics Education Research
       The University of Edinburgh




                         Faculty

                          PG




‘Phase space’ of class response profiles
Physics Education Research
              The University of Edinburgh




            χ2 consistency test p-values:
     1st   2nd     3rd    4th      5th    PG
0.038         0.971 0.985 0.934 0.701 0.238
Physics Education Research
                       The University of Edinburgh

Data handling skill development

•  1st and 2nd year → explicit instruction → improvement

•  Later years → implicit development → no improvement

•  Postgrad TA’s not more proficient than undergrads they
   are instructing

•  Faculty significantly more proficient

  Broadly consistent with findings at University of British Columbia
               Day & Bonn, PRST-PER 7, 010114, (2011)
Physics Education Research
                The University of Edinburgh

Where do we go from here?




             •  Augment test with stand-alone interactive
                learning resources
                    – diagnose and address
                           misconceptions.
Physics Education Research
                   The University of Edinburgh


Learning resources

 •  Stand-alone and web-based, to support rather than
    supplant other instruction.

 •  Accessible direct from questions and by category.

 •  Feature informal explanations, step-by-step guides,
   animations, practice exercises and self-test questions.
Physics Education Research
  The University of Edinburgh
Physics Education Research
                   The University of Edinburgh

Example: mean, standard deviation and standard error
Physics Education Research
                          The University of Edinburgh




•  Random samples
   drawn from
   Gaussian
   distribution.
•  mean = 10
   std.dev. = 5
•  Track evolution of
   mean, standard
   deviation and
   standard error as
   number of
   measurements N
   increases.
Physics Education Research
                      The University of Edinburgh

Summary
   •  Data handling skills are important and valued but
      frequently fall into the ‘implicit curriculum’.

   •  We have developed a valid and reliable Data Handling
      Diagnostic.

   •  We have found that development of these skills and
      overall student proficiency is not what it might be.

   •  Part of the problem may be that lab Teaching Assistants
      also have serious gaps in their knowledge.

   •  Explicit instruction in data handling skills seems to be
      required.
Physics Education Research
                          The University of Edinburgh



Acknowledgements:
We gratefully acknowledge project grant support from the HEA Physical
  Sciences Centre and the assistance of our partner institutions in the pilot
  phase. We also gratefully acknowledge Doug Bonn and James Day of the
  University of British Columbia for initial ideas and for allowing re-use of
  three of their items.


Poster at PERC

EdPER group website                           bit.ly/EdPER

Talk slides on Slideshare                     EdPER_talks


Ross.Galloway@ed.ac.uk 
                     
S.P.Bates@ed.ac.uk

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Diagnosing Student Understanding of Data Analysis Techniques

  • 1. Physics Education Research The University of Edinburgh Diagnosing Student Understanding of Data Analysis Techniques Simon Bates Ross Galloway Helen Maynard-Casely Hilary Singer Kate Slaughter Physics Education Research Group, University of Edinburgh, UK AAPT Summer Meeting 2011, Omaha NE, Aug 2011
  • 2. Physics Education Research The University of Edinburgh Outline •  Why investigate data handling skills? •  Development of the diagnostic •  Student performance on the diagnostic •  Development of supporting resources •  Summary
  • 3. Physics Education Research The University of Edinburgh Labs: the implicit curriculum •  In practical work, we expect students to acquire data analysis skills in parallel to practical abilities. •  Frequently, these generic skills are not explicitly taught and not effectively assessed.
  • 4. Physics Education Research The University of Edinburgh Higher Education Academy Student Employability Profiles
  • 5. Physics Education Research The University of Edinburgh Typical question (from UBC pre-prototype)
  • 6. Physics Education Research The University of Edinburgh A!
  • 7. Physics Education Research The University of Edinburgh B!
  • 8. Physics Education Research The University of Edinburgh C!
  • 9. Physics Education Research The University of Edinburgh D!
  • 10. Physics Education Research The University of Edinburgh A! B! C! D!
  • 11. Physics Education Research The University of Edinburgh Response profiles from Edinburgh Physics classes No statistically significant difference between 1st, 2nd and 4th year classes.
  • 12. Physics Education Research The University of Edinburgh Where we went from here… •  Build on pre-prototype UBC instrument. •  Expand number of questions, increase scope. •  Ensure generic nature so wide applicability: physics, chemistry, engineering, other STEM, etc. •  Ensure test is robust and reliable.
  • 13. Physics Education Research The University of Edinburgh Diagnostic test development process Beichner R. J., (1994) Am. J. Physics 62, 750.
  • 14. Physics Education Research The University of Edinburgh Data Handling Diagnostic – prototype test instrument 23 item MCQ test to address generic data analysis skills. Wide applicability to all STEM disciplines. Topics covered include: o  precision and accuracy o  approximations o  lines of best fit o  errors and uncertainties o  derivation of quantitative relationships from graphical data
  • 15. Physics Education Research The University of Edinburgh Trial phase deployment •  Prototype test taken by > 1200 students •  Test deployed in 10 institutions across UK and Ireland (7 Physics & 4 Chemistry depts.) •  Test deployed to all undergraduate years (1st – 5th)
  • 16. Physics Education Research The University of Edinburgh Validity and reliability evaluation Validity •  test covers appropriate range of skills •  test does actually evaluate what you intended Reliability •  degree of consistency between scores when test repeated •  test has ability to discriminate student ability Employ statistical tests and analysis, for individual items and for whole test. e.g. BEMA: Phys. Rev. Spec. Topics PER 2 010105 (2006)     DHD found to perform satisfactorily
  • 17. Physics Education Research The University of Edinburgh Student performance from the trial deployment
  • 18. Physics Education Research The University of Edinburgh
  • 19. Physics Education Research The University of Edinburgh
  • 20. Physics Education Research The University of Edinburgh
  • 21. Physics Education Research The University of Edinburgh
  • 22. Physics Education Research The University of Edinburgh
  • 23. Physics Education Research The University of Edinburgh ‘Phase space’ of class response profiles
  • 24. Physics Education Research The University of Edinburgh
  • 25. Physics Education Research The University of Edinburgh PG ‘Phase space’ of class response profiles
  • 26. Physics Education Research The University of Edinburgh Faculty PG ‘Phase space’ of class response profiles
  • 27. Physics Education Research The University of Edinburgh χ2 consistency test p-values: 1st 2nd 3rd 4th 5th PG 0.038 0.971 0.985 0.934 0.701 0.238
  • 28. Physics Education Research The University of Edinburgh Data handling skill development •  1st and 2nd year → explicit instruction → improvement •  Later years → implicit development → no improvement •  Postgrad TA’s not more proficient than undergrads they are instructing •  Faculty significantly more proficient Broadly consistent with findings at University of British Columbia Day & Bonn, PRST-PER 7, 010114, (2011)
  • 29. Physics Education Research The University of Edinburgh Where do we go from here? •  Augment test with stand-alone interactive learning resources – diagnose and address misconceptions.
  • 30. Physics Education Research The University of Edinburgh Learning resources •  Stand-alone and web-based, to support rather than supplant other instruction. •  Accessible direct from questions and by category. •  Feature informal explanations, step-by-step guides, animations, practice exercises and self-test questions.
  • 31. Physics Education Research The University of Edinburgh
  • 32. Physics Education Research The University of Edinburgh Example: mean, standard deviation and standard error
  • 33. Physics Education Research The University of Edinburgh •  Random samples drawn from Gaussian distribution. •  mean = 10 std.dev. = 5 •  Track evolution of mean, standard deviation and standard error as number of measurements N increases.
  • 34. Physics Education Research The University of Edinburgh Summary •  Data handling skills are important and valued but frequently fall into the ‘implicit curriculum’. •  We have developed a valid and reliable Data Handling Diagnostic. •  We have found that development of these skills and overall student proficiency is not what it might be. •  Part of the problem may be that lab Teaching Assistants also have serious gaps in their knowledge. •  Explicit instruction in data handling skills seems to be required.
  • 35. Physics Education Research The University of Edinburgh Acknowledgements: We gratefully acknowledge project grant support from the HEA Physical Sciences Centre and the assistance of our partner institutions in the pilot phase. We also gratefully acknowledge Doug Bonn and James Day of the University of British Columbia for initial ideas and for allowing re-use of three of their items. Poster at PERC EdPER group website bit.ly/EdPER Talk slides on Slideshare EdPER_talks Ross.Galloway@ed.ac.uk S.P.Bates@ed.ac.uk