STUDENTS’ DISTRIBUTIVE REASONING WITH FRACTIONS AND UNKNOWNS
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Proceedings of the Thirty-third Annual Meeting of PME-NA
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Abstract
To understand relationships between students’ quantitative reasoning with fractions and their algebraic reasoning, a clinical interview study was conducted with 18 middle and high school students. The study targeted a balanced mix of students with 3 different multiplicative concepts, which are based on how students coordinate composite units (units of units). Students participated in two 45-minute semi-structured interviews and completed a written fractions assessment. This paper reports on how students with the second and third multiplicative concepts demonstrated the use of a distributive operation in fraction and algebraic problem solving.
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Hackenberg, A. J., & Lee, M. Y. (2011). Students’ distributive reasoning with fractions and unknowns. In T. Lamberg & L. Wiest (Eds.), Proceedings of the Thirty-third Annual Meeting of PME-NA [CD-ROM]. Reno, NV: University of Nevada.