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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
Peer reviewedRowland, Tim – For the Learning of Mathematics, 1992
Investigated the use of the pronoun "it" by a nine-year-old girl as a concept variable conveying the message that she had something in mind that she believed the listener understood. (MDH)
Descriptors: Discussion (Teaching Technique), Division, Elementary Education, Interpersonal Communication
Peer reviewedFielker, David S. – For the Learning of Mathematics, 1986
How children perceive doubling and halving numbers is discussed, with many examples. The use of calculators is integrated. The tendency to avoid division if other ways of solving a problem can be found was noted. (MNS)
Descriptors: Calculators, Cognitive Processes, Computation, Division
