Abstract

Although much is known about the differences between expert and novice problem solvers, knowledge of those differences typically does not provide enough detail to help instructors understand why some students seem to learn physics while solving problems and others do not. A critical issue is how students access the knowledge they have in the context of solving a particular problem. In this paper, we discuss our observations of students solving physics problems in authentic situations in an algebra-based physics class at the University of Maryland. We find that when these students are working together and interacting effectively, they often use a limited set of locally coherent resources for blocks of time of a few minutes or more. This coherence appears to provide the student with guidance as to what knowledge and procedures to access and what to ignore. Often, this leads to the students failing to apply relevant knowledge they later show they possess. In this paper, we outline a theoretical phenomenology for describing these local coherences and identify six organizational structures that we refer to as epistemic games. The hypothesis that students tend to function within the narrow confines of a fairly limited set of games provides a good description of our observations. We demonstrate how students use these games in two case studies and discuss the implications for instruction.

Highlights

  • Students learning physics at the college level often have considerable difficulty with problem solving despite the fact that problem solving is an integral part of most physics classes.[1]

  • As part of a project to reform introductory algebra-based physics,[2] we have collected extensive data of students learning physics and solving physics problems in a variety of environments. These data include some familiar but remarkable student behavior, such asifailing to use their personal knowledge in favor of misinterpretations of authority-based knowledge when reasoning in a formal context; ͑iiusing incorrect qualitative arguments to rebut a qualitative argument even when they know the correct formal argument

  • We propose that a useful way to analyze some of the common associational structures in student approaches to physics problem solving is to describe them in terms of locally coherent, goal-oriented activities

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Summary

INTRODUCTION

Students learning physics at the college level often have considerable difficulty with problem solving despite the fact that problem solving is an integral part of most physics classes.[1]. As part of a project to reform introductory algebra-based physics,[2] we have collected extensive data of students learning physics and solving physics problems in a variety of environments These data include some familiar but remarkable student behavior, such asifailing to use their personal knowledge in favor of misinterpretations of authority-based knowledge when reasoning in a formal context; ͑iiusing incorrect qualitative arguments to rebut a qualitative argument even when they know the correct formal argument. In order to make sense of these data, we propose a useful way of analyzing students’ problem solving behavior in terms of locally coherent goal-oriented activities that we refer to as epistemic games These games both guide and limit what knowledge students think is appropriate to apply at a given time. Much of the work described here is taken from the dissertation of Jonathan Tuminaro and more detail can be found there.[14]

THEORETICAL FRAMEWORK
Students’ naïve knowledge
Expert-novice differences in problem solving
Resource model
Basis of cognition
Basic knowledge elements
Patterns of association
Some specific resources
EPISTEMIC GAMES
Ontology of epistemic games
Structure of epistemic games
Mapping Meaning to Mathematics
Mapping Mathematics to Meaning
Physical Mechanism Game
Pictorial Analysis Game
Recursive Plug-and-Chug
Transliteration to Mathematics
Student population
Structure of the modified course
Homework problems
Coherence
Course center
Architecture
Whiteboards
Audio-video setup
Methodology
TWO CASE STUDIES
Case 1
Playing the Physical Mechanism Game
Playing the Pictorial Analysis game
Playing the Mapping Mathematics to Meaning game
Playing the Transliteration to Mathematics Game
Playing the Mapping Meaning to Mathematics Game
Case 2
What we learn from these case studies
IMPLICATIONS FOR INSTRUCTION, AND CONCLUSIONS
Three-charge problem
Two-dimensional three-charge problem
Two-charge problem
Findings
Air-pressure difference problem
Full Text
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