Resumo

MORGADO, Cindy  e  SANCHEZ, Ernesto. The conceptulization of the best fit line from an informal approach by high school students. Educ. mat. [online]. 2024, vol.36, n.2, pp.125-155.  Epub 21-Jan-2025. ISSN 2448-8089.  https://doi.org/10.24844/em3602.05.

Abstract. This study investigates how high school students conceptualize the best fit line using technology. The theoretical framework includes the notion of aggregate, an informal approach to the fitting line, and the use of technological tools. The research involved twenty-two high school students working in pairs in a workshop comprising three activities focused on the relationship between two variables. Tasks included the construction and analysis of scatter plots, interpolation and adjustment of a line, and manipulation of a line to minimize distances to the points. Results are grouped according to similarities in responses, highlighting how students developed an aggregate understanding of the data. Three key phases in the conceptualization of the best fit line are identified: Use of the scatter plot, interpolation of a line in the point cloud, and understanding of residuals and minimizing the distance between the line and the points. An understanding is revealed that the best fit line is one that minimizes its distance to the set of points.

Palavras-chave : Best fit line; aggregate; informal approach; technology.

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