ERIC Number: ED489753
Record Type: Non-Journal
Publication Date: 2004-Jul
Students' Problem Solving and Justification
Glass, Barbara; Maher, Carolyn A.
International Group for the Psychology of Mathematics Education, 28th, Bergen, Norway, July 14-18, 2004
This paper reports on methods of students' justifications of their solution to a problem in the area of combinatorics. From the analysis of the problem solving of 150 students in a variety of settings from high-school to graduate study, four major forms of reasoning evolved: (1) Justification by Cases, (2) Inductive Argument, (3) Elimination Argument, and (4) Analytic Method (use of formulas.) The predominant method for students was reasoning by cases where they used the heuristic of controlling for variables or a recursive argument. Only graduate students and one senior undergraduate student correctly used analytical methods. [For complete proceedings, see ED489632.]
Descriptors: Undergraduate Students, Graduate Students, Graduate Study, Problem Solving, Heuristics, Thinking Skills, High School Students, Mathematics Skills, Abstract Reasoning
International Group for the Psychology of Mathematics Education, 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Web site: http://igpme.org.
Publication Type: Reports - Descriptive; Speeches/Meeting Papers
Education Level: Grade 10; High Schools; Higher Education
Authoring Institution: N/A