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Hackenberg, Amy J.; Aydeniz, Fetiye; Matyska, Robert – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
A design experiment with 18 students in a regular seventh grade math class was conducted to investigate how to differentiate instruction for students' diverse ways of thinking during a 26-day unit on proportional reasoning. The class included students operating with three different multiplicative concepts that have been found to influence rational…
Descriptors: Grade 7, Mathematics Instruction, Individualized Instruction, Student Diversity
Lee, Mi Yeon; Hackenberg, Amy J. – International Journal of Science and Mathematics Education, 2014
To investigate 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 students were interviewed twice, once to explore their quantitative reasoning with fractions and once to explore their solutions of problems…
Descriptors: Correlation, Logical Thinking, Thinking Skills, Mathematical Concepts

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