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Problem solving as modelling: a case of augmented‐quotient division problem

 

作者: Kazuhiko Nunokawa,  

 

期刊: International Journal of Mathematical Education in Science and Technology  (Taylor Available online 1995)
卷期: Volume 26, issue 5  

页码: 721-727

 

ISSN:0020-739X

 

年代: 1995

 

DOI:10.1080/0020739950260509

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

There are three main aspects in mathematical problem solving, especially when the problem includes a real situation: #opa#cp formulating the problem in mathematical terms; #opb#cp operating within the mathematical world; #opc#cp translating the mathematical results into the original situation. In research on problem solving, researchers’ attentions have been mainly paid to the first aspect #opa#cp, and the third aspect #opc#cp has not been deliberated. The purpose of this paper is making this aspect clearer by applying the theory of mathematical modelling to problem solving. Taking problem solving as a kind of mathematical modelling, the mathematical results can be seen as a basis for forecasts, decisions, or actions, and the third aspect of problem solving can be seen as the process in which solvers would make forecasts or decisions and take an action on the problem situation. The example, the case of augmented‐quotient division problems, is presented to illustrate this aspect in detail, and it shows the advantage of the analysis in this paper.

 

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