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  2. Problem solving - Wikipedia

    en.wikipedia.org/wiki/Problem_solving

    Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields.

  3. Iterative method - Wikipedia

    en.wikipedia.org/wiki/Iterative_method

    If an equation can be put into the form f(x) = x, and a solution x is an attractive fixed point of the function f, then one may begin with a point x 1 in the basin of attraction of x, and let x n+1 = f(x n) for n ≥ 1, and the sequence {x n} n ≥ 1 will converge to the solution x.

  4. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$ 1 million prize for the first correct solution to each problem.

  5. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    less than 10 6 is 837 799, which has 524 steps, less than 10 7 is 8 400 511, which has 685 steps, less than 10 8 is 63 728 127, which has 949 steps, less than 10 9 is 670 617 279, which has 986 steps, less than 10 10 is 9 780 657 630, which has 1132 steps, [10] less than 10 11 is 75 128 138 247, which has 1228 steps, less than 10 12 is 989 345 ...

  6. Tower of Hanoi - Wikipedia

    en.wikipedia.org/wiki/Tower_of_Hanoi

    The key to solving a problem recursively is to recognize that it can be broken down into a collection of smaller sub-problems, to each of which that same general solving procedure that we are seeking applies [citation needed], and the total solution is then found in some simple way from those sub-problems' solutions. Each of these created sub ...

  7. Singapore math - Wikipedia

    en.wikipedia.org/wiki/Singapore_math

    A bar model used to solve an addition problem. This pictorial approach is typically used as a problem-solving tool in Singapore math. Singapore math teaches students mathematical concepts in a three-step learning process: concrete, pictorial, and abstract. [3] This learning process was based on the work of an American psychologist, Jerome Bruner.

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