The Role of Cognitive Factors in Year Five Pupils' Algebraic Thinking: A Structural Equation Modelling Analysis

Piriya Somasundram

doi:10.29333/ejmste/9612

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Piriya Somasundram ¹ ^*

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¹ School of Mathematical Sciences, Sunway University, MALAYSIA^* Corresponding Author

Abstract

Algebraic thinking in children can bridge the cognitive gap between arithmetic and algebra. This quantitative study aimed to develop and test a cognitive model that examines the cognitive factors influencing algebraic thinking among Year Five pupils. A total of 720 Year Five pupils from randomly selected national schools in Malaysia participated in this study. Two mathematics instruments were used to evaluate the participants’ number, symbol, operation, and pattern senses and their algebraic thinking respectively. Data was analysed using a structural equation modelling and Partial Least Squares regression. The results indicated that the proposed cognitive factors influence algebraic thinking significantly, with the most influential factor being symbol sense followed by pattern sense, number sense, and operation sense. The finding implies that educators should consider implementing activities related to these cognitive factors when teaching mathematics to enhance the pupils’ transition from arithmetic to algebra.

Keywords

Algebraic thinking
Arithmetic generalisation
functional thinking
pattern generalisation

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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

EURASIA J Math Sci Tech Ed, 2021, Volume 17, Issue 1, Article No: em1935

https://doi.org/10.29333/ejmste/9612

Publication date: 20 Jan 2021

Article Views: 1711

Article Downloads: 1427

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Disclosure

Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

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How to cite this article

APA

Somasundram, P. (2021). The Role of Cognitive Factors in Year Five Pupils' Algebraic Thinking: A Structural Equation Modelling Analysis. Eurasia Journal of Mathematics, Science and Technology Education, 17(1), em1935. https://doi.org/10.29333/ejmste/9612

Vancouver

Somasundram P. The Role of Cognitive Factors in Year Five Pupils' Algebraic Thinking: A Structural Equation Modelling Analysis. EURASIA J Math Sci Tech Ed. 2021;17(1):em1935. https://doi.org/10.29333/ejmste/9612

AMA

Somasundram P. The Role of Cognitive Factors in Year Five Pupils' Algebraic Thinking: A Structural Equation Modelling Analysis. EURASIA J Math Sci Tech Ed. 2021;17(1), em1935. https://doi.org/10.29333/ejmste/9612

Chicago

Somasundram, Piriya. "The Role of Cognitive Factors in Year Five Pupils' Algebraic Thinking: A Structural Equation Modelling Analysis". Eurasia Journal of Mathematics, Science and Technology Education 2021 17 no. 1 (2021): em1935. https://doi.org/10.29333/ejmste/9612

Harvard

Somasundram, P. (2021). The Role of Cognitive Factors in Year Five Pupils' Algebraic Thinking: A Structural Equation Modelling Analysis. Eurasia Journal of Mathematics, Science and Technology Education, 17(1), em1935. https://doi.org/10.29333/ejmste/9612

MLA

Somasundram, Piriya "The Role of Cognitive Factors in Year Five Pupils' Algebraic Thinking: A Structural Equation Modelling Analysis". Eurasia Journal of Mathematics, Science and Technology Education, vol. 17, no. 1, 2021, em1935. https://doi.org/10.29333/ejmste/9612