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Finding Erik and Alva: uncovering students who reason additively when multiplying

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This article presents a study in which grade 5 students’ responses to multiplicative comparison problems, a well-known method for distinguishing additive reasoning from multiplicative, are compared to their reasoning when calculating uncontextualised multiplicative tasks. Despite recognising the multiplicative structure of multiplicative comparison problems a significant proportion of students calculated multiplicative problems additively. Therefore, multiplicative comparison problems are insufficient on their own as indicators of multiplicative reasoning.
Det Kgl. Bibliotek/Royal Danish Library
Title: Finding Erik and Alva: uncovering students who reason additively when multiplying
Description:
This article presents a study in which grade 5 students’ responses to multiplicative comparison problems, a well-known method for distinguishing additive reasoning from multiplicative, are compared to their reasoning when calculating uncontextualised multiplicative tasks.
Despite recognising the multiplicative structure of multiplicative comparison problems a significant proportion of students calculated multiplicative problems additively.
Therefore, multiplicative comparison problems are insufficient on their own as indicators of multiplicative reasoning.

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