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Hackenberg, 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

Khoury, Helen A.; Zazkis, Rina – Educational Studies in Mathematics, 1994
Investigated (n=124) preservice school teachers' reasoning and concepts of invariance of fractional numbers under numeration systems in different bases. The majority of students believed that fractions change their numerical value under different symbolic representations. (Author/MKR)
Descriptors: Cognitive Style, College Students, Elementary Secondary Education, Fractions