Generalization Process by Second Grade Students

María D. Torres, Antonio Moreno and María C. Cañadas
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María D. Torres: Department of Mathematics Didactics, Faculty of Education Sciences, University of Granada, 18071 Granada, Spain
Antonio Moreno: Department of Mathematics Didactics, Faculty of Education Sciences, University of Granada, 18071 Granada, Spain
María C. Cañadas: Department of Mathematics Didactics, Faculty of Education Sciences, University of Granada, 18071 Granada, Spain

Mathematics, 2021, vol. 9, issue 10, 1-19

Abstract: This study is part of a broader study on algebraic reasoning in elementary education. The research objective of the present survey, namely to describe generalization among second grade (7- to 8-year-old) students, was pursued through semi-structured interviews with six children in connection with a contextualized generalization task involving the function y = x + 3. Particular attention was paid to the structures recognized and the type of generalization expressed by these students as they reasoned. In all six, we observed three phases of inductive reasoning: (a) abductive, (b) inductive and (c) generalization. The students correctly recognized the structure at least once during the interview and expressed generalization in three ways.

Keywords: algebraic thinking; functional thinking; generalization; inductive reasoning (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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