Generalization Process by Second Grade Students
Metadatos
Afficher la notice complèteAuteur
Torres González, María Dolores; Moreno Verdejo, Antonio Javier; Cañadas Santiago, María ConsueloEditorial
MDPI
Materia
Algebraic thinking Functional thinking Generalization Inductive reasoning
Date
2021Referencia bibliográfica
Torres, M.D.; Moreno, A.; Cañadas, M.C. Generalization Process by Second Grade Students. Mathematics 2021, 9, 1109. https:// doi.org/10.3390/math9101109
Patrocinador
Spanish National Research Agency (AEI); European Fund for Regional Development (FEDER); Government of Spain - BES-2017-080124Résumé
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.