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The Illusion of Linearity: From Analysis to Improvement

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Description:Linear or proportional relationships are a major topic in mathematics education. However, recent research has shown that secondary school students strongly tend to apply the linear model also in situations wherein it is not applicable. This overgeneralization of linearity is sometimes referred to as the 'illusion of linearity' and has a strong negative impact on students reasoning and problem solving skills. 'The Illusion of Linearity: From Analysis to Improvement' presents the reader with a comprehensive overview of the major findings of the recent research on the illusion of linearity. Although the empirical study of students improper linear reasoning clearly constitutes a new line of research, it owes a great deal to prior work in mathematics education research community (such as the work of the scholars of the Freudenthal Institute on realistic mathematics education). Based on both quantitative and qualitative research, 'The Illusion of Linearity: From Analysis to Improvement' discusses the following issues: (1) how the illusion of linearity appears in diverse domains of mathematics and science and how it is conceptually related to other more general misconceptions identified in the research literature, (2) what are the crucial psychological, mathematical, and educational factors being responsible for the occurrence and persistence of the phenomenon, and (3) how the illusion of linearity can be remedied by appropriate instruction. 'The Illusion of Linearity: From Analysis to Improvement' is essential to those working in mathematics education, particularly teacher educators and curriculum research and development.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Illusion of Linearity: From Analysis to Improvement. To get started finding The Illusion of Linearity: From Analysis to Improvement, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 181

Format: PDF, EPUB & Kindle Edition

Publisher: Springer

Release: 2010

ISBN: 1281337587

Description: Linear or proportional relationships are a major topic in mathematics education. However, recent research has shown that secondary school students strongly tend to apply the linear model also in situations wherein it is not applicable. This overgeneralization of linearity is sometimes referred to as the 'illusion of linearity' and has a strong negative impact on students reasoning and problem solving skills. 'The Illusion of Linearity: From Analysis to Improvement' presents the reader with a comprehensive overview of the major findings of the recent research on the illusion of linearity. Although the empirical study of students improper linear reasoning clearly constitutes a new line of research, it owes a great deal to prior work in mathematics education research community (such as the work of the scholars of the Freudenthal Institute on realistic mathematics education). Based on both quantitative and qualitative research, 'The Illusion of Linearity: From Analysis to Improvement' discusses the following issues: (1) how the illusion of linearity appears in diverse domains of mathematics and science and how it is conceptually related to other more general misconceptions identified in the research literature, (2) what are the crucial psychological, mathematical, and educational factors being responsible for the occurrence and persistence of the phenomenon, and (3) how the illusion of linearity can be remedied by appropriate instruction. 'The Illusion of Linearity: From Analysis to Improvement' is essential to those working in mathematics education, particularly teacher educators and curriculum research and development.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Illusion of Linearity: From Analysis to Improvement. To get started finding The Illusion of Linearity: From Analysis to Improvement, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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The Illusion of Linearity: From Analysis to Improvement

The Illusion of Linearity: From Analysis to Improvement

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