MANIFESTATIONS OF ALGEBRAIC THOUGHT IN NUMERICAL SEQUENCES: An investigation based on the theory of objectification.
Algebraic thinking; early years; theory of objectification; sequences.
Discussions about algebraic thinking with children in the early years of elementary school have intensified in Brazil since the introduction of the National Common Curriculum Base (BNCC), which presents the new thematic unit of algebra, focusing on the development of algebraic thinking. The Theory of Objectification (TO) presents a conception of algebraic thinking that considers cultural and historical aspects, in addition to contributions to the organization of pedagogical work in the classroom, valuing collective work.Algebraic thinking, according to the aforementioned theory, is characterized by the presence of the vectors of indeterminacy, denotation, and analyticity. Based on these considerations, this qualitative study, based on bibliographic and field research, considers that pedagogical work with numerical sequences has the potential to foster algebraic thinking and the generalization of patterns with recursive numerical sequences. Therefore, we aim to investigate how algebraic thinking manifests itself in tasks involving recursive numerical sequences formed by multiples of a natural number, carried out collaboratively with a 4th-grade class at the Early Childhood Education Center - Colégio de Aplicação of the Federal University of Rio Grande do Norte. Meetings were held with the 4th-grade class where we explored multiples through the hopscotch game. As a method of analysis, we used the multisemiotic approach proposed by the Theory of Objectification. Initial results demonstrate that the collaborative teaching-learning activity favored the objectification processes, showing evidence of the three vectors of algebraic thinking according to the Theory of Motion.