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  2. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    How to Solve It suggests the following steps when solving a mathematical problem: . First, you have to understand the problem. [2]After understanding, make a plan. [3]Carry out the plan.

  3. Problems and Theorems in Analysis - Wikipedia

    en.wikipedia.org/wiki/Problems_and_Theorems_in...

    The book was unique at the time because of its arrangement, less by topic and more by method of solution, so arranged in order to build up the student's problem-solving abilities. The preface of the book contains some remarks on general problem solving and mathematical heuristics which anticipate Pólya's later works on that subject ...

  4. Mathematics and Plausible Reasoning - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_plausible...

    Polya begins Volume I with a discussion on induction, not mathematical induction, but as a way of guessing new results.He shows how the chance observations of a few results of the form 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, 10 = 3 + 7, etc., may prompt a sharp mind to formulate the conjecture that every even number greater than 4 can be represented as the sum of two odd prime numbers.

  5. Inventor's paradox - Wikipedia

    en.wikipedia.org/wiki/Inventor's_paradox

    Instead of solving a specific type of problem, which would seem intuitively easier, it can be easier to solve a more general problem, which covers the specifics of the sought-after solution. The inventor's paradox has been used to describe phenomena in mathematics , programming , and logic , as well as other areas that involve critical thinking .

  6. Alan H. Schoenfeld - Wikipedia

    en.wikipedia.org/wiki/Alan_H._Schoenfeld

    On problem solving. [4] He made an empirical study of how far mathematics undergraduates tackling non-routine problems can use the strategies set out in George Pólya's work How to Solve It The strategies were based on Pólya's reflections on how he solved problems. Schoenfeld's study found that the strategies alone are weak, and need to be ...

  7. The Natural - highline.huffingtonpost.com

    highline.huffingtonpost.com/miracleindustry/...

    Diane Sullivan isn’t a hired gun; she’s more like a hired bazooka. The Weil, Gotshal & Manges LLP partner has repeat-edly parachuted into high-stakes