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Generalization Process by Second Grade Students

Author

Listed:
  • 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)

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.

Suggested Citation

  • María D. Torres & Antonio Moreno & María C. Cañadas, 2021. "Generalization Process by Second Grade Students," Mathematics, MDPI, vol. 9(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1109-:d:554334
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