Mathematical Problem Solving And Mind Mapping

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Information about Mathematical Problem Solving And Mind Mapping
How-to & DIY

Published on December 21, 2008

Author: thomasteepe

Source: slideshare.net

Description

The basic idea: use one problem map for the actual problem and one or more tool maps with large collection of problem solving tools.

III.4 Example The following excerpt from a heuristic map is again based on Polya’s ‘How to Solve It‘. Examine What is the unknown? aims. What is the aim? Aim appropriate? Examine data. Possible to satisfy? Sufficient? Examine Insufficient? conditions. Contradictory? understanding the problem Redundant? Separate various parts. Draw a figure. Introduce suitable notation. Evident? Other tools Look at special Possible Examine results. cases. to simplify? Explain it to yourself Try to or someone else. generalize. Examine arguments. Use methods. Alternatives? looking back Use related Use result elsewhere. problems. Use results. Reasons Use auxiliary for failure? constructions. Examine Shortcomings? Context problem solving. General strategies Improvements? Useful of problem? theorems? Which objects Lessons Properties? to be learned? are involved? Theorems? Restate Look for several Correctness the problem. restatements. evident? Change point of view. Check carrying Prove each step. correctness. out the plan Go back to definitions. devising More Need for a plan accessible? adapting aims? Modify the More problem. general? More special? Analogous? Modify Modify the Drop parts. conditions. Modify parts. Derive Modify information. the data. Use different data. Data? All information used? Conditions? 4

Alosenweg 37 70329 Stuttgart Germany Email: thomasteepe@web.de 30. November 2003, slightly revised on 13. November 2008-11-13 6

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