Children’s Coordination of Linguistic and Numeric Units in Mathematical Argumentative Writing

Karl Wesley Kosko; Rashmi Singh

doi:10.29333/iejme/5714

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Karl Wesley Kosko ¹ ^* , Rashmi Singh ¹

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¹ Kent State University, USA^* Corresponding Author

Abstract

Mathematical argumentation and proof has long been identified with algebraization. Much literature discusses the relationship between the two, but with little specificity on how particular semiotic features in argumentation relate to coordination in early algebra. Further, there is a particular lack of research on this topic in the elementary/primary years of schooling. The present study examines how children’s unit coordination in early algebra (particularly the concepts of equivalence and multiplicative reasoning) co-occurs with their coordination of grammatical information units. Coordination of information units was examined through reference use via the semiotic tool of detailing. Results suggest that second and third grade students who coordinate reference chains to support a mathematical claim in their argumentative writing tend to have higher multiplicative reasoning and conception of equivalence scores on several tasks. However, features of certain tasks may influence whether and how such unit coordination interacts with reference use.

Keywords

mathematical argumentation
early algebra
unit coordination

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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

INT ELECT J MATH ED, Volume 14, Issue 2, May 2019, 275-291

https://doi.org/10.29333/iejme/5714

Publication date: 17 Feb 2019

Article Views: 3358

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How to cite this article

APA

Kosko, K. W., & Singh, R. (2019). Children’s Coordination of Linguistic and Numeric Units in Mathematical Argumentative Writing. International Electronic Journal of Mathematics Education, 14(2), 275-291. https://doi.org/10.29333/iejme/5714

Vancouver

Kosko KW, Singh R. Children’s Coordination of Linguistic and Numeric Units in Mathematical Argumentative Writing. INT ELECT J MATH ED. 2019;14(2):275-91. https://doi.org/10.29333/iejme/5714

AMA

Kosko KW, Singh R. Children’s Coordination of Linguistic and Numeric Units in Mathematical Argumentative Writing. INT ELECT J MATH ED. 2019;14(2), 275-291. https://doi.org/10.29333/iejme/5714

Chicago

Kosko, Karl Wesley, and Rashmi Singh. "Children’s Coordination of Linguistic and Numeric Units in Mathematical Argumentative Writing". International Electronic Journal of Mathematics Education 2019 14 no. 2 (2019): 275-291. https://doi.org/10.29333/iejme/5714

Harvard

Kosko, K. W., and Singh, R. (2019). Children’s Coordination of Linguistic and Numeric Units in Mathematical Argumentative Writing. International Electronic Journal of Mathematics Education, 14(2), pp. 275-291. https://doi.org/10.29333/iejme/5714

MLA

Kosko, Karl Wesley et al. "Children’s Coordination of Linguistic and Numeric Units in Mathematical Argumentative Writing". International Electronic Journal of Mathematics Education, vol. 14, no. 2, 2019, pp. 275-291. https://doi.org/10.29333/iejme/5714