Utilização da atividade “Quanto você calça?” no ensino de função do primeiro grau: uma abordagem de análise de modelos no 1º ano do ensino médio

Abstract

This study aims to investigate student learning about first-degree functions through the activity "How much do you wear?", based on the teaching method called Model Analysis (MNA). The proposal consists of using a previously developed mathematical model that relates foot length and shoe size to introduce and explore algebraic concepts related to first-degree functions. The research was conducted with two first-year high school classes at the José de Alencar State School, located in the municipality of Santarém, Pará, with a total of 47 students. The methodology adopted was a qualitative approach, with data collection through practical activities, a five-item assessment, an open-ended questionnaire, and records of observations made during the activity. The activity followed the steps suggested by MNA. The results of the activity indicated that the students were able to apply the proposed mathematical model, relate the variables, and recognize the structure of first-degree functions. Many reported that the approach enabled a different way of learning, more creative and participatory than traditional lectures. The practice also fostered the collective construction of knowledge and expanded students' space for expression, highlighting the importance of pedagogical strategies grounded in reality and collaboration, suggesting that similar experiences could be incorporated into the school curriculum. The experience enabled a rethinking of the role of teachers as mediators of the learning process and highlighted the viability of AnM as an approach to teaching mathematics, by bringing curricular content closer to students' daily lives and fostering the connection between theory and practice.