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 |
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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 |
Valoración: |
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