Development of algebraic thinking: proposal of a pattern for sharing problems

• Autor(a) principal: Almeida, Jadilson Ramos de
• Data de Publicação: 2018
• Outros Autores: Santos, Marcelo Câmara dos
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Zetetiké (Online)
• Texto Completo: https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8650717
• topic: Modelo; Pensamento algébrico; Níveis de desenvolvimento; Problemas de partilha; Pattern; Algebraic thinking; Development levels; Sharing problems

This paper aims to introduce a pattern to enable the identification of different levels of development of algebraicthinking in students while solving sharing problems. Our research was conducted in two stages: during the firstone, we built up an initial version of the pattern based on 342 sixth-graders (around 11 years old) through ananalysis of their written answers to six sharing problems; in the second stage, we presented the same problemsto 343 sixth to ninth-graders (11 to 14 years old) in the city of Recife. Next, we selected 8 students, who weinterviewed for deeper explanations on their thinking. The analysis presented in this paper stems from the 8students’ interviews answers and written production. Finally, we developed a proposal for a pattern of differentlevels of algebraic thinking. The first one indicates the absence of algebraic thinking (Level 0). The second levelis an incipient level of algebraic thinking (Level 1). The third level means an intermediate level of algebraicthinking (Level 2), while the last one shows that algebraic thinking has been consolidated (Level 3). In addition,we propose three sublevels for each level, starting from Level 1, which we have named sublevels A, B and C.