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Option 2 : Memorizing the algorithm
A man named George Polya devised a four-step process to handle any problem about a century ago: understand the situation, devise a strategy, carry out the plan, and look back and reflect. The approach has become a famous way of solving problems due to its simplicity and generalizability.
- Students' work becomes dynamic, iterative, and metacognitive when they use Polya's four problem-solving processes - Understand, plan, solve, and Review. Students who are new to the process may want assistance in getting started, working, reflecting, and connecting. Polya's problem-solving model doesn't include memorizing the algorithm.
- Finding techniques to understand the basic idea of such algorithms is always preferable to memorizing them.
- Polya developed his famous four-step problem-solving approach, which is now widely used:
- Recognize the difficulty.
- Make a strategy for achieving your objectives (translate)
- Execute the plan (solution)
- Take a step back (check and interpret).
As a result, the algorithm is not memorized in Polya's problem-solving paradigm.
- George Polya, in his book Mathematical Discovery, defines problem-solving as the conscious search for some action appropriate to attain some clearly conceived, but not immediately attainable aim.
- Van Hiele's theory describes how young people learn geometry. It postulates five levels of geometric thinking which are labeled visualization, analysis, abstraction, formal deduction, and rigor.
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