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Selected Works

2006

Science and Mathematics Education

University of Texas at El Paso

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Full-Text Articles in Education

Characterizing Students’ Thinking: Algebraic Inequalities And Equations, Kien H. Lim Nov 2006

Characterizing Students’ Thinking: Algebraic Inequalities And Equations, Kien H. Lim

Kien H Lim

This paper presents the findings of a study that explores the viability of using students’ act of anticipating as a means to characterize the way students think while solving problems in algebra. Two types of anticipating acts were identified: predicting a result and foreseeing an action. These acts were characterized using Harel’s framework, which involves the concepts of mental act, way of understanding, and way of thinking. Categories for characterizing acts of predicting and foreseeing were identified and developed based on thirteen 11th graders’ responses to problems involving algebraic inequalities and equations. The quality of students’ acts of predicting ...