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First, you have to understand the problem. [2] After understanding, make a plan. [3] Carry out the plan. [4] Look back on your work. [5] How could it be better? If this technique fails, Pólya advises: [6] "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"
For instance, a meeting may be called to review a particular problem and to develop a solution for the problem. The Six Thinking Hats method could then be used in a sequence to first explore the problem, then develop a set of solutions, and to finally choose a solution through critical examination of the solution set.
In elementary algebra, when solving equations, it is called guess and check. [citation needed] This approach can be seen as one of the two basic approaches to problem-solving, contrasted with an approach using insight and theory.
A teacher who asks the students to generate their own strategy for solving a problem may be provided with examples in how to solve similar problems ahead of the discovery learning task. "A student might come up to the front of the room to work through the first problem, sharing his or her thinking out loud.
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 iteration of such strategies over the course of solving a problem is the "problem-solving cycle". [ 30 ] Common steps in this cycle include recognizing the problem, defining it, developing a strategy to fix it, organizing knowledge and resources available, monitoring progress, and evaluating the effectiveness of the solution.
Some would refer to this as the ‘problem-solving cycle’ (Bransford & Stein, 1993). In this cycle one will recognize the problem, define the problem, develop a strategy to fix the problem, organize the knowledge of the problem cycle, figure-out the resources at the user's disposal, monitor one's progress, and evaluate the solution for accuracy.
Adaptive reasoning may also refer to the adaptation of thought processes, problem solving strategies, and conceptual framework, in response and anticipation of the changing nature of the problem being considered.