**ERIC Number:**EJ1095819

**Record Type:**Journal

**Publication Date:**2016

**Pages:**21

**Abstractor:**As Provided

**ISBN:**N/A

**ISSN:**EISSN-2469-9896

**EISSN:**N/A

Analytical Derivation: An Epistemic Game for Solving Mathematically Based Physics Problems

Bajracharya, Rabindra R.; Thompson, John R.

Physical Review Physics Education Research, v12 n1 p010124-1-010124-21 Jan-Jun 2016

Problem solving, which often involves multiple steps, is an integral part of physics learning and teaching. Using the perspective of the epistemic game, we documented a specific game that is commonly pursued by students while solving mathematically based physics problems: the "analytical derivation" game. This game involves deriving an equation through symbolic manipulations and routine mathematical operations, usually without any physical interpretation of the processes. This game often creates cognitive obstacles in students, preventing them from using alternative resources or better approaches during problem solving. We conducted hour-long, semi-structured, individual interviews with fourteen introductory physics students. Students were asked to solve four "pseudophysics" problems containing algebraic and graphical representations. The problems required the application of the fundamental theorem of calculus (FTC), which is one of the most frequently used mathematical concepts in physics problem solving. We show that the "analytical derivation" game is necessary, but not sufficient, to solve mathematically based physics problems, specifically those involving graphical representations.

Descriptors: Mathematics, Epistemology, Games, Problem Solving, Physics, Science Instruction, Mathematical Logic, Equations (Mathematics), Algebra, Symbols (Mathematics), Semi Structured Interviews, Calculus, Mathematical Concepts, Mathematics Skills, Undergraduate Students, Mathematical Formulas, Logical Thinking, Teaching Methods, Mathematics Instruction, Grounded Theory, Qualitative Research

American Physical Society. One Physics Ellipse 4th Floor, College Park, MD 20740-3844. Tel: 301-209-3200; Fax: 301-209-0865; e-mail: assocpub@aps.org; Web site: http://prst-per.aps.org

**Publication Type:**Journal Articles; Reports - Research

**Education Level:**Higher Education; Postsecondary Education

**Audience:**N/A

**Language:**English

**Sponsor:**National Science Foundation (NSF)

**Authoring Institution:**N/A

**Grant or Contract Numbers:**DUE0817282; PHY1405726