Função Afim no Scratch: um estudo através da Interpretação Global Figural

Abstract

This study investigates the teaching of the linear function through the Scratch platform, based on the articulation between the algorithmic register and the graphical register, grounded in Raymond Duval’s Theory of Semiotic Representation Registers, with emphasis on the Global Figural Interpretation approach. The research, of a qualitative nature, analyzes how the significant algebraic units of the linear function — slope and y-intercept — can be explored in block-based programming language and related to the visual variables of the graph of a line in the Cartesian plane, such as the direction of inclination, the angles formed with the axes, and the position of the line in relation to the origin. To this end, an algorithm is developed in Scratch to represent the linear function in the algorithmic register, from which different cases of variation of the algebraic parameters were defined. The analysis shows that Scratch fosters the conversion and coordination between the algorithmic and graphical registers, enabling a comprehensive understanding of the concept of linear function and overcoming fragmented approaches based solely on plotting points in Cartesian plane. It is concluded that Scratch is a potential pedagogical resource for teaching the linear function, as it promotes the articulation among different representation registers and expands the possibilities for conceptual understanding in Mathematics.