Early algebraic thinking of primary school pupils (6-12 years) related to linear patterns generalizing problems

Authors

  • Maria Luz Callejo Universidad de Alicante
  • Álvaro García-Reche Universidad de Alicante
  • Ceneida Fernández Universidad de Alicante

DOI:

https://doi.org/10.35763/aiem.v0i10.106

Keywords:

Algebraic thinking, generalization, linear pattern, strategies, problem solving

Abstract

This paper identifies characteristics of primary school pupils (6-12 years)algebraic thinkingwhensolving a linearpatternsgeneralizingproblem witha succession of figures. Results show that algebraic thinking starts withthe coordination of spatial and numericalstructures. It is evidenced in students’ use of graphical representation to do a recount. The change from a graphical representation to a functional strategy implies a qualitative stepsincethese students relied on a particular figure to explain their calculations using spatial deictic or they give general explanations of figures using the indeterminacy.

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Published

2016-11-05

How to Cite

Callejo, M. L., García-Reche, Álvaro, & Fernández, C. (2016). Early algebraic thinking of primary school pupils (6-12 years) related to linear patterns generalizing problems. Advances of Research in Mathematics Education, (10), 5–25. https://doi.org/10.35763/aiem.v0i10.106

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