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Presentation
Analysis of Students’ Proportional Reasoning Strategies
37th Annual Meeting of the Psychology of Mathematics Education - North America Chapter (2015)
  • Michele B. Carney, Boise State University
Abstract

Proportional reasoning is key to students’ acquisition and application of complex mathematics and science topics. Research is needed regarding how students’ progress towards and come to demonstrate key developmental understandings within proportional reasoning. To this end we created and administered assessment items to 297 middle grades students. We categorized student solution processes qualitatively, followed by Rasch analysis to examine item difficulty and strategy use in relation to an anticipated trajectory. Our findings indicate that different strategies manifest themselves in a hierarchical manner, providing initial confirmation of categories based on strategy efficiency and emphasizing the importance of teacher (and researcher) analysis of classroom assessments from a student cognition perspective.

Keywords
  • learning trajectories,
  • measurement,
  • number concepts and operations
Disciplines
Publication Date
November 6, 2015
Citation Information
Michele B. Carney. "Analysis of Students’ Proportional Reasoning Strategies" 37th Annual Meeting of the Psychology of Mathematics Education - North America Chapter (2015)
Available at: http://works.bepress.com/michele_carney/14/