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written by David Schuster, Adriana Undreiu, and Betty Adams
Problem-solving is an important part of physics teaching, learning and assessment. It is widely assumed that the way that experts solve problems, and students should, is by systematic application of basic physics principles. Model solutions are laid out this way, and teaching of problem-solving usually consists of 'going over' such solutions step by step. However, while this does represent the physics structure of the final solution, it does not adequately reflect how people actually think when tackling problems. Real cognition is complex. This study was prompted by students trying to 'map across' result features recalled from previous cases instead of working from basics. Since our instruction emphasizes the power and generality of basic principles, our first response was to re-emphasize principles, but we found that experts in fact draw extensively and effectively on rich compiled case knowledge. We investigated cognition in detail for geometrical optics. Research methods included analysis of written solutions, reflections on thinking, and interviews. Cognitive modes emerged from the initial research stages, and were then used to code individuals' problem-solving pathways. Learners and experts alike used multiple modes of cognition, significantly principle-based reasoning, case-based reasoning and experiential-intuitive reasoning. Case-based reasoning using pre-compiled knowledge played a pervasive role in conjunction with, and sometimes in conflict with, principle-based reasoning. The implications for instruction are that it should reflect what we know about cognition and expertise, and hence include teaching case-based as well as principle-based reasoning. We are doing this in optics, by using cases and variations, identifying topic knowledge schema 'sub-assemblies', and modeling their use in problems.
Physics Education Research Conference 2007
Part of the PER Conference series
Greensboro, NC: August 1-2, 2007
Volume 951, Pages 184-187
Subjects ADS Supplements Resource Types
Education - Applied Research
- Active Learning
= Modeling
= Problem Solving
Education - Basic Research
- Cognition
- Problem Solving
= Processes
Optics
- Geometrical Optics
- Reference Material
= Research study
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Format:
application/pdf
Mirror:
http://dx.doi.org/10.1063/1.2820928
Access Rights:
Limited free access and
Available by subscription and
Available for purchase
Restriction:
© 2007 2007 American Institute of Physics.
DOI:
10.1063/1.2820928
PACS:
01.40.Fk 01.40.Ha 01.40.gb
Keywords:
PERC 2007, case-based reasoning, knowledge schema, learning by example, multiple modes of cognition, principle-based reasoning, teaching
Record Cloner:
Metadata instance created June 10, 2009 by Jenny Rempel
Record Updated:
July 16, 2013 by Lyle Barbato
Last Update
when Cataloged:
November 12, 2007
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Record Link
AIP Format
D. Schuster, A. Undreiu, and B. Adams, presented at the Physics Education Research Conference 2007, Greensboro, NC, 2007, WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9103&DocID=2018).
AJP/PRST-PER
D. Schuster, A. Undreiu, and B. Adams, Multiple Modes of Reasoning in Physics Problem Solving, with Implications for Instruction, presented at the Physics Education Research Conference 2007, Greensboro, NC, 2007, <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9103&DocID=2018>.
APA Format
Schuster, D., Undreiu, A., & Adams, B. (2007, August 1-2). Multiple Modes of Reasoning in Physics Problem Solving, with Implications for Instruction. Paper presented at Physics Education Research Conference 2007, Greensboro, NC. Retrieved December 20, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9103&DocID=2018
Chicago Format
Schuster, D, A. Undreiu, and B. Adams. "Multiple Modes of Reasoning in Physics Problem Solving, with Implications for Instruction." Paper presented at the Physics Education Research Conference 2007, Greensboro, NC, August 1-2, 2007. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9103&DocID=2018 (accessed 20 December 2014).
MLA Format
Schuster, David, Adriana Undreiu, and Betty Adams. "Multiple Modes of Reasoning in Physics Problem Solving, with Implications for Instruction." Physics Education Research Conference 2007. Greensboro, NC: 2007. 184-187 Vol. 951 of PER Conference. 20 Dec. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9103&DocID=2018>.
BibTeX Export Format
@inproceedings{ Author = "David Schuster and Adriana Undreiu and Betty Adams", Title = {Multiple Modes of Reasoning in Physics Problem Solving, with Implications for Instruction}, BookTitle = {Physics Education Research Conference 2007}, Pages = {184-187}, Address = {Greensboro, NC}, Series = {PER Conference}, Volume = {951}, Month = {August 1-2}, Year = {2007} }
Refer Export Format

%A David Schuster
%A Adriana Undreiu
%A Betty Adams
%T Multiple Modes of Reasoning in Physics Problem Solving, with Implications for Instruction
%S PER Conference
%V 951
%D August 1-2 2007
%P 184-187
%C Greensboro, NC
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9103&DocID=2018
%O Physics Education Research Conference 2007
%O August 1-2
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Schuster, David
%A Undreiu, Adriana
%A Adams, Betty
%D August 1-2 2007
%T Multiple Modes of Reasoning in Physics Problem Solving, with Implications for Instruction
%B Physics Education Research Conference 2007
%C Greensboro, NC
%V 951
%P 184-187
%S PER Conference
%8 August 1-2
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9103&DocID=2018


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