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Mathematical reasoning fostered by (fostering) transformations of rational number representations

Morais, Cristina; Serrazina, Lurdes; Ponte, João Pedro da (2018). Mathematical reasoning fostered by (fostering) transformations of rational number representations. Acta Scientiae. Revista de Ensino de Ciências e Matemática, 20(4), pp. 552-570 .

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Resumen

In this article we aim to understand the transformations of rational number representations carried out by students and their mathematical reasoning processes. We report part of a Design Based Research, within which an intervention was carried out in a class with 25 students and their teacher, in grades 3 and 4. We analyze six classroom episodes in three main moments concerning the construction of understanding of rational numbers. The results indicate that both transformations and mathematical reasoning processes have an intricate and bidirectional relation, one fostering the other. Students carried out treatments and conversions, including conversions between representations as well as conversions by compositions of different representations. Regarding mathematical reasoning processes, students formulated solving strategies, conjectures and justifications. We also conclude that the social interactions within the class were crucial for the students both doing the transformations and engaging in mathematical reasoning processes.

Tipo de Registro:Artículo
Términos clave:06. Aprendizaje > Procesos cognitivos > Razonamiento
10. Otras nociones de Educación Matemática > Resolución de problemas > Resolución y estrategias
10. Otras nociones de Educación Matemática > Resolución de problemas > Planteamiento de problemas
13. Matemáticas escolares > Números > Estructuras numéricas > Números racionales
10. Otras nociones de Educación Matemática > Sistemas de representación > Numérico
Nivel Educativo:Educación Primaria (7-12 años)
Código ID:28448
Depositado Por:Monitor Funes 2
Depositado En:16 Jun 2022 20:32
Fecha de Modificación Más Reciente:16 Jun 2022 20:32
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