书目名称 | The Illusion of Linearity |
副标题 | From Analysis to Imp |
编辑 | Dirk De Bock,Wim Van Dooren,Lieven Verschaffel |
视频video | |
概述 | State-of-the-art research on the illusion of linearity.Addresses a related set of flaws in mathematics education and proposes remedies.Integrates and organizes existing literature on mathematics educa |
丛书名称 | Mathematics Education Library |
图书封面 |  |
描述 | .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 identi |
出版日期 | Book 2007 |
关键词 | Freud; calculus; curriculum; development; education; educational research; experiment; mathematics; problem |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-387-71164-5 |
isbn_softcover | 978-1-4419-4381-1 |
isbn_ebook | 978-0-387-71164-5Series ISSN 0924-4921 Series E-ISSN 2214-983X |
issn_series | 0924-4921 |
copyright | Springer-Verlag US 2007 |