Problem creation to articulate proportional and algebraic reasoning

María Burgos; Nicolás Tizón-Escamilla; Jorhan Chaverri

doi:10.29333/iejme/15650

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María Burgos ¹ , Nicolás Tizón-Escamilla ¹ ^* , Jorhan Chaverri ²

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¹ University of Granada, Granada, SPAIN² University of Costa Rica, San Pedro, San José, COSTA RICA^* Corresponding Author

Abstract

This paper describes the design, implementation, and results of a training action with prospective primary education teachers, focusing on the creation of problems involving proportional and algebraic reasoning. Prospective teachers must solve a proportionality problem using both arithmetic and algebraic procedures, and then vary it to motivate proto-algebraic activity. Results show that participants successfully solved the task and created significant problems, which mostly motivated the expected algebraic activities. However, it can be observed that aspects of proportional reasoning or representations typical of proto-algebraic levels were not considered, which could have generated greater richness in the variety of problems created.

Keywords

proportionality
algebraic reasoning
teacher education
problem posing

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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 20, Issue 1, February 2025, Article No: em0801

https://doi.org/10.29333/iejme/15650

Publication date: 01 Jan 2025

Online publication date: 26 Nov 2024

Article Views: 285

Article Downloads: 179

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How to cite this article

APA

Burgos, M., Tizón-Escamilla, N., & Chaverri, J. (2025). Problem creation to articulate proportional and algebraic reasoning. International Electronic Journal of Mathematics Education, 20(1), em0801. https://doi.org/10.29333/iejme/15650

Vancouver

Burgos M, Tizón-Escamilla N, Chaverri J. Problem creation to articulate proportional and algebraic reasoning. INT ELECT J MATH ED. 2025;20(1):em0801. https://doi.org/10.29333/iejme/15650

AMA

Burgos M, Tizón-Escamilla N, Chaverri J. Problem creation to articulate proportional and algebraic reasoning. INT ELECT J MATH ED. 2025;20(1), em0801. https://doi.org/10.29333/iejme/15650

Chicago

Burgos, María, Nicolás Tizón-Escamilla, and Jorhan Chaverri. "Problem creation to articulate proportional and algebraic reasoning". International Electronic Journal of Mathematics Education 2025 20 no. 1 (2025): em0801. https://doi.org/10.29333/iejme/15650

Harvard

Burgos, M., Tizón-Escamilla, N., and Chaverri, J. (2025). Problem creation to articulate proportional and algebraic reasoning. International Electronic Journal of Mathematics Education, 20(1), em0801. https://doi.org/10.29333/iejme/15650

MLA

Burgos, María et al. "Problem creation to articulate proportional and algebraic reasoning". International Electronic Journal of Mathematics Education, vol. 20, no. 1, 2025, em0801. https://doi.org/10.29333/iejme/15650