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The Influence Of Tape Diagrams And Bar Models On Middle School Students' Proportional Reasoning, Katie Paulding

Boise State University Theses and Dissertations

Proportional reasoning is an integral component of adolescent mathematical cognitive development and a foundational concept for students to understand in order to be successful in higher level mathematics and science courses. Yet research indicates students struggle to proportionally reason. Task features of proportional reasoning problems are known to influence student cognition and success in problem solving, including familiarity with problem context, problem type, numerical content, and mode of task representation. The purpose of this study was to examine the influence of two iconic representations (tape diagrams and bar models) and three ratio relationships (6:3, 8:2, and 5:2) on student cognition …