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Kindergarten and first-grade students´ understandings and representations of arithmetic properties

Ramírez, Rafael; Brizuela, Bárbara; Blanton, Maria (2020). Kindergarten and first-grade students´ understandings and representations of arithmetic properties. Early Childhood Education Journal, online first, pp. 1-30 .

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URL Oficial: https://doi.org/10.1007/s10643-020-01123-8

Resumen

We present a study that explores Kindergarten and first-grade students’ understandings and representations of arithmetic properties. Sixteen students participated in a classroom teaching experiment designed to explore children’s algebraic understandings, including their understandings and symbolic representations of three arithmetic properties: additive identity, additive inverse, and commutativity. We characterized students’ understandings in terms of Skemp’s framework of understandings: rules without reason (instrumental) and knowing what to do and why (relational). Then, following Vergnaud, we analyzed the types of additive relationships (transformation, comparison, or combination) and representations used by students. Our findings show that students’ understandings developed in sophistication over time. We observed the least sophisticated understandings for the commutative property, particularly among Kindergarten students who exhibited instrumental understandings even after instruction.

Tipo de Registro:Artículo
Términos clave:06. Aprendizaje > Cognición > Conocimiento
Otros términos clave específicos no incluidos en las secciones anteriores > R-S > Significado
13. Matemáticas escolares > Números > Operaciones aritméticas > Adición
06. Aprendizaje > Procesos cognitivos > Comprensión
Nivel Educativo:Educación Infantil (0-6 años)
Código ID:23067
Depositado Por:Rafael Ramírez
Depositado En:17 Dic 2020 13:06
Fecha de Modificación Más Reciente:17 Dic 2020 13:06
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Personal del repositorio solamente: página de control del documento


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