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  2. Reform mathematics - Wikipedia

    en.wikipedia.org/wiki/Reform_mathematics

    One of principles of reform mathematics is social equity. [5] In contrast, "traditional" textbooks emphasize procedural mathematics and provide step-by-step examples with skill-building exercises. Traditional mathematics focuses on teaching algorithms that will lead to the correct answer of a particular problem. Because of this focus on ...

  3. 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.

  4. Trial and error - Wikipedia

    en.wikipedia.org/wiki/Trial_and_error

    This approach can be seen as one of the two basic approaches to problem-solving, contrasted with an approach using insight and theory. However, there are intermediate methods that, for example, use theory to guide the method, an approach known as guided empiricism .

  5. 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.

  6. Nine dots puzzle - Wikipedia

    en.wikipedia.org/wiki/Nine_dots_puzzle

    Here it is. [...] The problem is to draw straight lines to connect these eggs in the smallest possible number of strokes. The lines may pass through one egg twice and may cross. I called it the Columbus Egg Puzzle." In the same year, the puzzle also appeared in A. Cyril Pearson's puzzle book. It was there named a charming puzzle and involved ...

  7. Decision-making - Wikipedia

    en.wikipedia.org/wiki/Decision-making

    Traditionally, it is argued that problem solving is a step towards decision making, so that the information gathered in that process may be used towards decision-making. [9] [page needed] Characteristics of problem solving. Problems are merely deviations from performance standards. Problems must be precisely identified and described

  8. Social problem-solving - Wikipedia

    en.wikipedia.org/wiki/Social_problem-solving

    Social problem-solving, in its most basic form, is defined as problem solving as it occurs in the natural environment. [1] More specifically it refers to the cognitive-behavioral process in which one works to find adaptive ways of coping with everyday situations that are considered problematic.

  9. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    One strategy for solving this version of the hat problem employs Hamming codes, which are commonly used to detect and correct errors in data transmission. The probability for winning will be much higher than 50%, depending on the number of players in the puzzle configuration: for example, a winning probability of 87.5% for 7 players.

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