Reflective log of problem solving
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Polya is credited with starting the modern problem solving movement by introducing the term "heuristic" to describe methods of problem solving. A typical list of problem solving strategies includes techniques like making models, looking for patterns, breaking problems into sub-problems, and eliminating possibilities. For a problem to be good, its solution should involve students doing meaningful mathematics, rather than just high-level concepts.
Reflective log of problem solving
- 1. Reflective log of problem solving Solving problem is a practical art, like swimming, skilling or playing the piano. Polya is generally credited with having starting the modern movement towards problem solving. He introduced the term heuristic as the study of the means and methods of problem solving and used a wealth of examples in his books to illustrate various aspects of problem solving. A typical list of problem solving strategies usually includes some or all of the following such as guess and check, make and use a model or diagram, act out the problem, try some simple cases, construct a table, look for a pattern, find a general rule, explain why, break the problem into sub-problems, solve a simpler but related problem and eliminate all possibilities. A good problem will almost certainly be one which is mathematically rich in the sense that its solution involves students doing some worthwhile mathematics. This is not to be confused with high level mathematics. The portraits and indicators represent work in progress. They are offered here in a spirit of joint enquiry with the profession. They represent the primary national strategy’s initial mapping of key aspects of learning. Over the coming month we hope to continue this work in collaboration with teachers and others. Aspect of learning enquiry. These skill enable pupils to ask relevant questions, to pose and define problems, to plan what to do and how to research, to predict outcomes and anticipate responses, to test conclusions and improve ideas.