A construction of the rules for calculating with integers from the manipulation of algebraic expressions

This article presents part of a research developed in collaboration, by math education researchers and teachers of mathematics at the secondary level. The work addresses the problems encountered by teachers when teaching integers, and the difficulties students had grasping the concept, part...

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Autores principales: Detzel, Patricia, Ruiz, María Elena, Colipe, Lucas
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2021
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Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/32660
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Sumario:This article presents part of a research developed in collaboration, by math education researchers and teachers of mathematics at the secondary level. The work addresses the problems encountered by teachers when teaching integers, and the difficulties students had grasping the concept, particularly in reference to the sign manipulation needed to carry on computations. Because of this premise, we all decided to study and make adaptations to an instructional proposal focused on the presentation of the negative integers together with that of algebra. We navigated a process of clarification that gave room for us to follow a meaningful path where the rules of addition, subtraction, and multiplication can be developed based on the knowledge of natural numbers. The role of algebra was fundamental in following this path. This article provides the analysis and reflections of the researchers and math teachers while adapting the original instructional approach.