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Direct linkTzur, Ron; Johnson, Heather Lynn; Norton, Anderson; Davis, Alan; Wang, Xin; Ferrara, Michael; Harrington, Cody; Hodkowski, Nicola Mercedes – Cognition and Instruction, 2021
We examine a hypothesis implied by Steffe's constructivist model of children's numerical reasoning: a child's "spontaneous" additive strategy may relate to a foundational form of multiplicative reasoning, termed multiplicative double counting (mDC). To this end, we mix quantitative and qualitative analyses of 31 fourth graders' responses…
Descriptors: Constructivism (Learning), Mathematics Skills, Elementary School Students, Grade 4
van Galen, Mirte S.; Reitsma, Pieter – Cognition and Instruction, 2011
Predictions of the Identical Elements (IE) model of arithmetic fact representation (Rickard, 2005; Rickard & Bourne, 1996) about transfer between arithmetic facts were tested in primary school children. The aim of the study was to test whether the IE model, constructed to explain adult performance, also applies to children. The IE model…
Descriptors: Transfer of Training, Multiplication, Recall (Psychology), Arithmetic
