Mathematical Problem Solving Theory

Problem solving can be taught by teaching children to create their algorithms. These are types of information that help students find a solution to a math problem.Heuristics are similar to strategies, techniques, and rules-of-thumb.

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Garofola and Lester suggest in their article, Metacognition, cognitive monitoring, and mathematical performance,that problem solving is a series of processes of which students are unaware.

Students with a good knowledge base are more able to use heuristics in solving geometry problems.

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.

The ability to solve mathematical problems can be developed only though the continual practice of problem solving.

Some textbooks in the United States offer linear models for solving mathematical problems.In the past, problem solving research involving technology has often dealt with programming as a major focus.This research has often provided inconclusive results.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.The intensive practice of problem solving makes a person able to quickly choose the technique in case of an examination.The exercises speed up the cognitive retrieval and one is able to quickly choose the most suitable technique.One has to be able to pose or formulate a problem in order to solve it.This area has been subject to studies in the United States in recent years.There are various techniques for solving mathematical problems and their application vary from one mathematical problem to the other.The key to successfully solving mathematical problems is flexibility and creativity.

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