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- Title
Rupture or continuity: The arithmetico-algebraic thinking as an alternative in a modelling process in a paper and pencil and technology environment.
- Authors
Hitt, Fernando; Saboya, Mireille; Zavala, Carlos
- Abstract
Part of the research community that has followed the Early Algebra paradigm is currently delimiting the differences between arithmetic thinking and algebraic thinking. This trend could prevent new research approaches to the problem of learning algebra, hiding the importance of considering an arithmetico-algebraic thinking, a new approach which underpins the construction of a cognitive structure that links both types of thinking. This paper proposes a theoretical and practical framework for a learning approach that supports the construction of a cognitive structure which fosters arithmetico-algebraic thinking at the beginning of secondary school by means of cultural and technological activities relating to polygonal numbers.
- Subjects
ALGEBRA education in elementary schools; ALGEBRAIC geometry; COGNITIVE structures; POLYGONAL numbers; ELEMENTARY education; CHILDREN
- Publication
Educational Studies in Mathematics, 2017, Vol 94, Issue 1, p97
- ISSN
0013-1954
- Publication type
Article
- DOI
10.1007/s10649-016-9717-4