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Direct linkMelhuish, Kathleen; Czocher, Jennifer A. – For the Learning of Mathematics, 2020
Within a study of student reasoning in abstract algebra, we encountered the claim "division and multiplication are the same operation." What might prompt a student to make this claim? What kind of influence might believing it have on their mathematical development? We explored the philosophical roots of "sameness" claims to…
Descriptors: Mathematics Instruction, Elementary Secondary Education, Algebra, Multiplication
Tillema, Erik; Gatza, Andrew – For the Learning of Mathematics, 2016
We provide a conceptual analysis of how combinatorics problems have the potential to support students to establish non-linear meanings of multiplication (NLMM). The problems we analyze we have used in a series of studies with 6th, 8th, and 10th grade students. We situate the analysis in prior work on students' quantitative and multiplicative…
Descriptors: Mathematics Instruction, Multiplication, Mathematics Skills, Thinking Skills
