Changes of Meanings in Multiplication across Different Contexts: The Case of Amy and Beth
Kin Eng Chin 1 * , Fui Fong Jiew 2
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1 Flinders University, Adelaide, AUSTRALIA
2 Universiti Malaysia Sabah, Sabah, MALAYSIA
* Corresponding Author

Abstract

This article focuses on how two mathematics teachers (Amy and Beth – pseudonyms) cope with the changes of meanings in multiplication due to the changes of contexts. It highlights the qualitative similarities and differences between these two teachers in the sense-making process of multiplication. A potentially useful framework of supportive and problematic conceptions suggested by Chin (2013) and Chin (2014) is employed in this study. Interviews are performed with Amy and Beth in order to collect the necessary data. Findings reveal that both teachers try to make sense of multiplication by building on the conception of repeated addition across different number systems. When multiplication is operated with negative numbers then problematic aspects emerge within the conception of repeated addition. It is observed that both teachers didn’t build on the meaning of repeated addition in the multiplication of fractions.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

https://doi.org/10.29333/ejmste/108440

EURASIA J Math Sci Tech Ed, 2019 - Volume 15 Issue 8, Article No: em1739

Publication date: 11 Apr 2019

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Article Downloads: 1310

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