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  2. Trial and error - Wikipedia

    en.wikipedia.org/wiki/Trial_and_error

    In elementary algebra, when solving equations, it is guess and check. 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 which for example, use theory to guide the method, an approach known as guided empiricism.

  3. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    A feasible solution that minimizes (or maximizes, if that is the goal) the objective function is called an optimal solution . In mathematics, conventional optimization problems are usually stated in terms of minimization. A local minimum x* is defined as an element for which there exists some δ > 0 such that.

  4. Scientific method - Wikipedia

    en.wikipedia.org/wiki/Scientific_method

    e. The scientific method is an empirical method for acquiring knowledge that has characterized the development of science since at least the 17th century. The scientific method involves careful observation coupled with rigorous scepticism, because cognitive assumptions can distort the interpretation of the observation.

  5. Problem-based learning - Wikipedia

    en.wikipedia.org/wiki/Problem-based_learning

    Problem-based learning (PBL) is a teaching method in which students learn about a subject through the experience of solving an open-ended problem found in trigger material. The PBL process does not focus on problem solving with a defined solution, but it allows for the development of other desirable skills and attributes.

  6. Problem-oriented policing - Wikipedia

    en.wikipedia.org/wiki/Problem-oriented_policing

    Problem-oriented policing (POP), coined by University of Wisconsin–Madison professor Herman Goldstein, is a policing strategy that involves the identification and analysis of specific crime and disorder problems, in order to develop effective response strategies. POP requires police to identify and target underlying problems that can lead to ...

  7. A3 problem solving - Wikipedia

    en.wikipedia.org/wiki/A3_Problem_Solving

    A3 problem solving is a structured problem-solving and continuous-improvement approach, first employed at Toyota and typically used by lean manufacturing practitioners. [1] It provides a simple and strict procedure that guides problem solving by workers. The approach typically uses a single sheet of ISO A3 -size paper, which is the source of ...

  8. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    Solving an equation symbolically means that expressions can be used for representing the solutions. For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2 (y + 1) – 1, a true statement. It is also possible to take the ...

  9. Root cause analysis - Wikipedia

    en.wikipedia.org/wiki/Root_cause_analysis

    In science and engineering, root cause analysis (RCA) is a method of problem solving used for identifying the root causes of faults or problems. It is widely used in IT operations, manufacturing, telecommunications, industrial process control, accident analysis (e.g., in aviation, rail transport, or nuclear plants), medicine (for medical diagnosis), healthcare industry (e.g., for epidemiology ...