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Constraints to a justification of commutativity of multiplication

Authors: Strømskag, Heidi; Valenta, Anita;

Constraints to a justification of commutativity of multiplication

Abstract

In this paper we investigate a pre-service teacher's whole-class discussion at Grade 6, where she attempts to justify the general claim that multiplication is commutative in ℕ. Our analysis points at two conditions that constrain the discussion in class: The first is that the diagram used to represent a multiplicative situation-and the way the diagram is used-is inadequate because it does not illustrate the meaning of multiplication. The second is that the diagram enables the students to respond "adequately", even if they may not have understood why multiplication is commutative. The latter is a constraint because it deprives the pre-service teacher of the opportunity to get feedback that might have let her understand that she would need to revise her intervention.

Keywords

justification, representation, Multiplicative situation, commutativity, [MATH] Mathematics [math], [SHS] Humanities and Social Sciences, teacher education

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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