Mathematical Problem Solving Theory

However, despite the use of explicit instructions and heuristics, problem solving is not that simple as such a simple analysis is limited.Theories must include classroom contexts, past knowledge and experience.

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In the past, problem solving research involving technology has often dealt with programming as a major focus.

This research has often provided inconclusive results.

Solving problems is an important role in mathematics.

Mathematics teaching and learning is aimed at developing children's ability to solve various mathematics problems.

Several studies have been focused on the research of heuristic processes.

These studies found that task specific heuristic instruction was more effective than general heuristic instruction.Indeed, the development of a computer program to perform a mathematical task can be a challenging mathematical problem and can enhance the programmer's understanding of the mathematics being used.Too often, however, the focus is on programming skills rather than on using programming to solve mathematics problems.One should be able to change methodology if it is not effective for a mathematical problem.Brainstorming techniques are quite useful in mathematical problem solving.The heuristic of subgoal generation also enables students to make problem solving plans.Thinking aloud, acting as a teacher and direct instruction enhanced the development of students' abilities to generate subgoals.These models involve reading, deciding, solving and examining the result.However, such models are often inconsistent and cannot be practically used. Such traditional models present problem solving as a series of steps and a process that has to be remembered.These techniques are not very valuable out of the problem context, but in doing mathematics they are very helpful.Heuristics are considered very important in various theories in mathematics.


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