Resolución de problemas matemáticos en la etapa de aplicación y la producción de aprendizajes significativos en EGB

Abstract

This research Project pretends to demonstrate the importance of problem solving on the application stage to produce a significant mathematical learning. This investigation is focused on the mathematics instruction. Starting with a bibliographic study about the constructivist approach, the curricular update and enforcement, and the models of problem solving, we pretend to answer the following questions; what is significant learning? How to get to the application stage of significant mathematical learning? Which are the guidelines for problem solving according to the curricular update and enforcement to create a significant learning on mathematics? And what is the process of mathematics problem solving on the application stage? Research shows that problem solving is important in the learning process since it let us work on previous knowledge, concepts, algorithms, and everyday situations skills, promoting favorable attitudes for the production of a significant learning. On the other hand, coherence is observed in the proposed guidelines for problem solving and the Mathematics Curricular Update and Enforcement, since the needs of using the acquired knowledge on problem solving is observed. Solving problem models like Polya, Miguel de Guzmán, De Corte and Verschaffel, etc. let to use previous knowledge, concepts, skills, problem solving algorithms, displaying the relevance problem solving has on mathematics learning.