WHAT IS PROPORTIONAL REASONING?

Proceedings of The International Conference on Research in Education Pub Date : 2019-04-05 DOI:10.33422/icreconf.2019.04.214

Betül Barut

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引用次数: 99

Abstract

Almost all mathematics educators consider proportional reasoning as one of the most important components of middle school mathematics curriculum. It is a necessity for success not only in further mathematics topics but also in other areas of knowledge. Although its importance is commonly accepted, there is not a consensus on what proportional reasoning is. This study is based on two inspirers; the first one is the need for a crystal clear definition of proportional reasoning and the second one is the necessity for using the same terms by referring the same phenomena in order to make progress in a research area. The aim of this content analysis is to investigate proportional reasoning research articles published in five prominent mathematics education journals between the years 2007-2016. These articles were investigated in two respects; whether a definition of proportional reasoning is given or not and how proportional reasoning is defined. The results indicated that in some research articles no definition of proportional reasoning was given, some of them mentioned about only the importance of it, and others defined it as a skill, knowledge of rate and ratio, or a kind of reasoning.

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什么是比例推理?

几乎所有的数学教育者都认为比例推理是中学数学课程的重要组成部分之一。它是成功的必要条件，不仅在进一步的数学主题，而且在其他领域的知识。尽管比例推理的重要性被普遍接受，但对于什么是比例推理并没有达成共识。本研究基于两个激励因素;第一个问题是需要一个清晰的比例推理的定义，第二个问题是为了在研究领域取得进展，必须使用相同的术语，引用相同的现象。本次内容分析的目的是调查2007-2016年间发表在五家著名数学教育期刊上的比例推理研究文章。这些文章从两个方面进行了调查;是否给出比例推理的定义以及如何定义比例推理。结果表明，在一些研究文章中，没有给出比例推理的定义，有的只提到了比例推理的重要性，有的则将比例推理定义为一种技能、比率知识或一种推理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of The International Conference on Research in Education

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