Uma sequência didática para matrizes e sistemas lineares utilizando o Modelo de Leontief

Abstract

This dissertation presents the development and application of a didactic sequence for teaching Matrices and Linear Systems in Upper Secondary Education, based on Wassily Leontief’s Input–Output Model. The main contribution of this research lies in addressing a gap in the literature regarding the use of Leontief’s Input–Output Model as a pedagogical resource for teaching Matrices and Linear Systems at the secondary school level. The study proposes an interdisciplinary and contextualized approach, aligned with the Brazilian National Common Core Curriculum (BNCC), which integrates algebraic concepts with real-world economic situations, aiming at meaningful learning and the development of critical thinking. The research adopts a qualitative and intervention-based methodology and was conducted in a school setting through classroom observations, records, and analysis of students’ productions. The results indicate that the use of the Leontief model enhances students’ understanding of mathematical content, increases their engagement, and contributes to their civic education.