Abstract

VALENZUELA GARCIA, Jesús  and  GUTIERREZ MARFILENO, Victoria Eugenia. Development of Algebraic Thinking in High School Students through the Visual Generalization of Figural Sequences. Educ. mat. [online]. 2018, vol.30, n.2, pp.49-72.  Epub Feb 07, 2022. ISSN 2448-8089.  https://doi.org/10.24844/em3002.03.

This article shows research results whose objectives were to investigate the type of strategy used in obtaining the general rule and to promote the visual strategy to induce the general rule of patterns in tasks of arithmetic sequences as a way in the development of algebraic thinking in 30 students of a high school in Mexico. The research adopted the Teaching Experiment method and involved a diagnostic phase and a subsequent iterative process of planning, executing and evaluating of four intervention sessions. From the preponderance of arithmetic strategies as a heuristic nature to establish the general rule, evidenced in the diagnostic phase, in the results of the third intervention session reported, it was possible to show the visual strategy effectiveness in the capacity of the students to induce and express the general rule from the analysis of particular terms of succession. The findings suggest a type of teaching that promotes the ability to establish general rules through visual strategy.

Keywords : algebraic thinking; visual generalization; patterns; visualization; general rule.

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