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Direct linkHackenberg, Amy J.; Lee, Mi Yeon – Educational Studies in Mathematics, 2016
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 included six students with each of three different multiplicative concepts, which are based on how students create and coordinate composite…
Descriptors: Mathematics Instruction, Mathematical Logic, Fractions, Algebra
Download full textHackenberg, Amy; Lee, Mi Yeon – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
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…
Descriptors: Mathematical Logic, Mathematics Instruction, Fractions, Algebra
Hackenberg, Amy J.; Lee, Mi Yeon – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
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. Six students with each of 3 different multiplicative concepts participated. This paper reports on the 6 students with the most basic multiplicative…
Descriptors: Middle School Students, Mathematics Instruction, Logical Thinking, Fractions
