Generalization strategies and representations used by final-year elementary school students

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awduron: Ureña Alpízar, Jason de Jesús, Ramírez Uclés, Rafael, Cañadas Santiago, María Consuelo, Molina González, Marta
Fformat: artículo original
Dyddiad Cyhoeddi:2022
Disgrifiad:Recent research has highlighted the role of functional relationships in introducing elementary school students to algebraic thinking. This functional approach is here considered to study essential components of algebraic thinking such as generalization and its representation, as well as the strategies used by students and their connection with generalization. This paper jointly describes the strategies and representations of generalization used by a group of 33 sixth-year elementary school students, with no former algebraic training, in two generalization tasks involving a functional relationship. The strategies applied by the students differed depending on whether they were working on specific or general cases. To answer questions on near specific cases they resorted to counting or additive operational strategies. As higher values or indeterminate quantities were considered, the strategies diversified. The correspondence strategy was the most used and the common approach when students generalized. Students were able to generalize verbally as well as symbolically and varied their strategies flexibly when changing from specific to general cases, showing a clear preference for a functional approach in the latter.
Gwlad:Kérwá
Sefydliad:Universidad de Costa Rica
Repositorio:Kérwá
Iaith:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87648
Mynediad Ar-lein:https://www.tandfonline.com/doi/abs/10.1080/0020739X.2022.2058429
https://hdl.handle.net/10669/87648
Allweddair:Algebraic thinking
early algebra
generalization
strategies
functional relationships
representations
MATHEMATICS
SCHOOL
STUDENTS
ENSEÑANZA PRIMARIA