División de fracciones como comparación multiplicativa a partir de los métodos de los alumnos
2014; Volume: 26; Issue: 1 Linguagem: Espanhol
ISSN
2448-8089
Autores Tópico(s)Violence, Education, and Gender Studies
ResumoespanolPresentamos varios metodos inventados por alumnos de 5o a 8o grados para resolver problemas de division de fracciones. Para cada metodo discutimos como el maestro puede ayudar a los alumnos a desarrollar su comprension de la comparacion multiplicativa de fracciones, enfatizando principios matematicos fundamentales que les permitan extender, generalizar y relacionar sus metodos con otros metodos. Los metodos presentados son sustraccion repetida e interpretacion del residuo, uso de la identidad y los inversos multiplicativos, division como factor faltante, razonamiento proporcional inverso y directo, division de fracciones como composicion de operaciones, y division de fracciones como una razon entre dos cantidades. EnglishWe present several methods invented by students in grades 5th through 8th to solve division of fractions problems. For each method we discuss how the teacher can help students develop their understanding of multiplicative comparison of fractions, by emphasizing fundamental mathematical principles that allow students generalize, extend, and relate their methods with other methods. The methods presented are repeated subtraction and interpretation of the remainder; use of the multiplicative identity and inverses; division as missing factor; inverse and direct proportional thinking; division of fractions as composition of operations; and division of fractions as a ratio between two quantities.
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