Modelagem matemática aplicada ao revestimento de fachadas planas com Material de Alumínio Composto (ACM): uma abordagem para o Ensino Médio

Abstract

The ability to express natural phenomena through mathematical language is an inherent characteristic of mathematical modeling. The objective of this study was to develop a mathematical model based on a real problem involving the calculation of the quantity of ACM panels needed to cover flat facades, and subsequently use it to develop a teaching proposal for high school based on mathematical modeling. To achieve this, it was necessary to initially investigate the variables involved in calculating the number of ACM panels required for cladding flat facades. Subsequently, a mathematical model, based on mathematical modeling, was constructed to represent the problem and, subsequently, present the proposed approach for high school students. The theoretical framework articulated three axes: Cladding Flat Facades with ACM, Mathematical Modeling applied to problem-solving, and Teaching and Learning with Mathematical Modeling. This is an applied research with a qualitative and quantitative approach, the locus of which was a visual communicator from Piracuruca, Piauí, who works with the installation of ACM facades. Data collection involved technical installation manuals and an open-ended interview with a professional in the field. The analysis involved validating the model and analyzing the potential of the proposed approach for high school students. The results highlighted the applicability of the mathematical model for calculating the number of ACM panels and the importance of an educational approach based on real-world problems.