Expanded model for elementary algebraic reasoning levels

María Burgos; Nicolás Tizón-Escamilla; Juan Díaz Godino

doi:10.29333/ejmste/14753

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María Burgos ¹ , Nicolás Tizón-Escamilla ¹ ^* , Juan Díaz Godino ¹

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¹ University of Granada, Granada, SPAIN^* Corresponding Author

Abstract

The development of algebraic reasoning from the earliest educational levels is an objective that has solid support both from the point of view of research and curricular development. Effectively incorporating algebraic content to enrich mathematical activity in schools requires considering the different degrees of generality of the objects and processes involved in algebraic practices. In this article, we present an expanded version of the model of levels of algebraization proposed within the framework of the onto-semiotic approach, establishing sublevels that provide a more microscopic view of the structures involved and the processes of generalization, representation, and analytical calculation at stake. We exemplify the model with mathematical activities that can be approached from primary education, classified according to the different sublevels of algebraization. The use of this expanded model can facilitate the development of didactic-mathematical knowledge of teachers in training on algebraic reasoning and its teaching.

Keywords

algebraic reasoning
primary education
onto-semiotic approach
teacher training

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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, Volume 20, Issue 7, July 2024, Article No: em2475

https://doi.org/10.29333/ejmste/14753

Publication date: 01 Jul 2024

Online publication date: 20 Jun 2024

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APA

Burgos, M., Tizón-Escamilla, N., & Godino, J. D. (2024). Expanded model for elementary algebraic reasoning levels. Eurasia Journal of Mathematics, Science and Technology Education, 20(7), em2475. https://doi.org/10.29333/ejmste/14753

Vancouver

Burgos M, Tizón-Escamilla N, Godino JD. Expanded model for elementary algebraic reasoning levels. EURASIA J Math Sci Tech Ed. 2024;20(7):em2475. https://doi.org/10.29333/ejmste/14753

AMA

Burgos M, Tizón-Escamilla N, Godino JD. Expanded model for elementary algebraic reasoning levels. EURASIA J Math Sci Tech Ed. 2024;20(7), em2475. https://doi.org/10.29333/ejmste/14753

Chicago

Burgos, María, Nicolás Tizón-Escamilla, and Juan Díaz Godino. "Expanded model for elementary algebraic reasoning levels". Eurasia Journal of Mathematics, Science and Technology Education 2024 20 no. 7 (2024): em2475. https://doi.org/10.29333/ejmste/14753

Harvard

Burgos, M., Tizón-Escamilla, N., and Godino, J. D. (2024). Expanded model for elementary algebraic reasoning levels. Eurasia Journal of Mathematics, Science and Technology Education, 20(7), em2475. https://doi.org/10.29333/ejmste/14753

MLA

Burgos, María et al. "Expanded model for elementary algebraic reasoning levels". Eurasia Journal of Mathematics, Science and Technology Education, vol. 20, no. 7, 2024, em2475. https://doi.org/10.29333/ejmste/14753