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Generalization Process by Second Grade Students

Department of Mathematics Didactics, Faculty of Education Sciences, University of Granada, 18071 Granada, Spain
Author to whom correspondence should be addressed.
Academic Editors: Robert M. Capraro and David Pugalee
Mathematics 2021, 9(10), 1109;
Received: 13 February 2021 / Revised: 4 May 2021 / Accepted: 6 May 2021 / Published: 14 May 2021
(This article belongs to the Special Issue Research on Powerful Ideas for Enriching School Mathematical Learning)
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. View Full-Text
Keywords: algebraic thinking; functional thinking; generalization; inductive reasoning algebraic thinking; functional thinking; generalization; inductive reasoning
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MDPI and ACS Style

Torres, M.D.; Moreno, A.; Cañadas, M.C. Generalization Process by Second Grade Students. Mathematics 2021, 9, 1109.

AMA Style

Torres MD, Moreno A, Cañadas MC. Generalization Process by Second Grade Students. Mathematics. 2021; 9(10):1109.

Chicago/Turabian Style

Torres, María D., Antonio Moreno, and María C. Cañadas. 2021. "Generalization Process by Second Grade Students" Mathematics 9, no. 10: 1109.

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