Uso das algeplacas em uma sequência didática no ensino da álgebra: explorando produtos notáveis

Abstract

The main objective of this study is to investigate the potential of the Algeplacas teaching material by developing a teaching sequence aimed at understanding the concepts related to notable products. To this end, we developed a methodological proposal based on the Algeplacas manipulative material for 9th grade elementary school students, minimizing difficulties and enabling the development of concept learning. To conduct this research, we based ourselves on theoretical references from Emerique (1991), Lorenzato (2021), Pimentel (2010), Radford (2006; 2010; 2011), Rêgo, Rêgo e Vieira (2012), Rêgo; Rêgo (2021), Van de Walle, (2009), among others. For development, we classify the research as applied in relation to its nature, as qualitative, in relation to its approach, in relation to its objectives, exploratory, and finally, in relation to the technical investigative procedures, it qualifies as bibliographic. A bibliographic survey of textbooks was carried out to analyze the way in which the object of knowledge is approached, aiming to understand possible factors that cause difficulty in learning the notable products, also, to understand the guidelines proposed in the National Common Curricular Base (Brazil, 2018) related to the final years. Next, understand the importance of using manipulative materials in teaching Mathematics, as a resource that helps students learn to develop critical thinking and create meaningful concepts. Then, the research was developed to understand Algeplacas and their potential as teaching materials, to be used in the formulation and organization of educational tasks in the teaching sequence. Finally, the research presents a didactic sequence from the perspective of using the manipulative material of Algeplacas, for teaching remarkable products, providing the student with the development of their own knowledge.