期刊
MATHEMATICS
卷 9, 期 10, 页码 -出版社
MDPI
DOI: 10.3390/math9101109
关键词
algebraic thinking; functional thinking; generalization; inductive reasoning
类别
资金
- Spanish National Research Agency (AEI) [EDU2016-75771-P]
- European Fund for Regional Development (FEDER) [BES-2017-080124]
- government of Spain
This study described the reasoning process of 7- to 8-year-old second grade students in a generalization task involving the function y = x + 3. The research found three phases of inductive reasoning among the students, with correct recognition of structures and expression of generalization in three ways.
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.
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