problem.For instance,if the problem is in three-dimensional geometry,you could look for a similar problem in two-dimensional geometry.Or if the problem you start with is a general one,you couldfirst try a special case.[One must do many problems to build a database of analogies!]1 ...
manyproblemstobuildadatabaseofanalogies!] 1 •Introducesomethingextra Itmaysometimesbenecessarytointroducesomethingnew,anauxiliary aid, to help make the connection between the given and the unknown. For instance, in a problem where a diagram is ...
Good solvers tried to solve the problem themselves, but referred to the example when they got stuck, or wanted to check a step, or wanted to avoid a detailed calculation. Rather than learn from analogies, both Good and Poor solvers tended to repeat analogies at subsequent similar situations. ...
This title presents a demonstration of how the true mathematician learns to draw unexpected analogies, tackle problems from unusual angles and extract a little more information from the data. It is a collection of truly practical lessons. How to Solve it 2025 pdf epub mobi 电子书 How to Solve...
This title presents a demonstration of how the true mathematician learns to draw unexpected analogies, tackle problems from unusual angles and extract a little more information from the data. It is a collection of truly practical lessons. 作者简介 ··· George Pólya (1887–1985) was one of ...
new science concepts are themselves often detailed metaphors.We’ll get to that later. Analogies can create empathy by helping other people understand what you are saying in terms they know. It speeds up explanations by reducing them to their simplest form. They compress large chunks of informatio...
4. Simplify the concept & explain the ideas to a child: Now try to simplify the material as much as possible. Use analogies, examples, and metaphors to explain the ideas in a way that anyone, including a child, could understand.
This textbook, for second- or third-year students of computer science, presents insights, notations, and analogies to help them describe and think about algorithms like an expert, without grinding through lots of formal proof. Solutions to many problems are provided to let students check their pro...
That is, knowledge must be interconnected, accessible from different perspectives, and stored in multiple cases or analogies. People must be able to decompose and reassemble their knowledge representations to deal with different situations, and consider several alternative interpretations of a situation. ...
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