ERIC Number: EJ994979
Record Type: Journal
Publication Date: 2012
Abstractor: As Provided
Extricating Justification Scheme Theory in Middle School Mathematical Problem Solving
Matteson, Shirley; Capraro, Mary Margaret; Capraro, Robert M.; Lincoln, Yvonna S.
Investigations in Mathematics Learning, v5 n1 p38-62 Fall 2012
Twenty middle grades students were interviewed to gain insights into their reasoning about problem-solving strategies using a Problem Solving Justification Scheme as our theoretical lens and the basis for our analysis. The scheme was modified from the work of Harel and Sowder (1998) making it more broadly applicable and accounting for research developments in the cognitive sciences. During cognitive interviews, students reasoned about their solutions to four contextualized problems. We used student interview excerpts to define the four major categories of Mechanistic, Authoritarian, Language, and Visual of the justification scheme and to elaborate on the various sublevels. Analysis of cognitive interview transcripts revealed combinations of justifications leading to both successful and unsuccessful problem-solving strategies. The major difference between these strategies was the ability to correctly select a representational aspect of the problem that triggered a correct solution strategy.
Descriptors: Problem Solving, Secondary School Mathematics, Mathematics Instruction, Middle Schools, Teaching Methods, Interviews, Middle School Students, Student Attitudes, Decision Making
Research Council on Mathematics Learning. Web site: http://web.unlv.edu/RCML/journal.html
Publication Type: Journal Articles; Reports - Research
Education Level: Middle Schools
Authoring Institution: N/A