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Pólya mentions that there are many reasonable ways to solve problems. [3] The skill at choosing an appropriate strategy is best learned by solving many problems. You will find choosing a strategy increasingly easy. A partial list of strategies is included: Guess and check [9] Make an orderly list [10] Eliminate possibilities [11] Use symmetry [12]
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.
However, the existence of different available strategies allows us to consider a separate ("superior") domain of processing — a "meta-level" above the mechanics of switch handling — where the various available strategies can be randomly chosen. Once again this is "trial and error", but of a different type.
Lateral thinking is a manner of solving problems using an indirect and creative approach via reasoning that is not immediately obvious. Synonymous to thinking outside the box , it involves ideas that may not be obtainable using only traditional step-by-step logic . [ 1 ]
An aptitude is a component of a competence to do a certain kind of work at a certain level. Outstanding aptitude can be considered " talent ", or " skill ". Aptitude is inborn potential to perform certain kinds of activities, whether physical or mental , and whether developed or undeveloped.
Problem Solving Through Recreational Mathematics is based on mathematics courses taught by the authors, who were both mathematics professors at Temple University. [1] [2] It follows a principle in mathematics education popularized by George Pólya, of focusing on techniques for mathematical problem solving, motivated by the idea that by doing mathematics rather than being told about its ...
Creative problem-solving (CPS) [1] is the mental process of searching for an original and previously unknown solution to a problem. To qualify, the solution must be novel and reached independently. [1] [2] The creative problem-solving process was originally developed by Alex Osborn and Sid Parnes. Creative problem solving (CPS) is a way of ...
The General Aptitude Test Battery (GATB) is a work-related cognitive test developed by the U.S. Employment Service (USES), a division of the Department of Labor. It has been extensively used to study the relationship between cognitive abilities, primarily general intelligence , and job performance .