Connections between algebraic thinking and reasoning processes

Maria Chimoni (1) , Demetra Pitta-Pantazi (1)

1 UCY - University of Cyprus [Nicosia]

The aim of the present study is to investigate the relationship of algebraic thinking with different types of reasoning processes. Using regression analyses techniques to analyze data of 348 students between the ages of 10 to 13 years old, this study examined the associations between algebraic thinking and achievement in two tests, the Naglieri Non-Verbal Ability Test and a deductive reasoning test. The data provide support to the hypothesis that a corpus of reasoning processes, such as reasoning by analogy, serial reasoning, and deductive reasoning, significantly predict students' algebraic thinking.

Mots clés: Algebraic thinking; cognitive mechanisms; reasoning processes

Domaines: Education; Histoire et perspectives sur les mathématiques [math.HO]

Maria Chimoni, Demetra Pitta-Pantazi. Connections between algebraic thinking and reasoning processes. CERME 9 - Ninth Congress of the European Society for Research in Mathematics Education, Charles University in Prague, Faculty of Education; ERME, Feb 2015, Prague, Czech Republic. pp.398-404. ⟨hal-01286897⟩