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Titlebook: Using Design Research and History to Tackle a Fundamental Problem with School Algebra; Sinan Kanbir,M. A. (Ken) Clements,Nerida F. Ellert

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發(fā)表于 2025-3-21 16:22:51 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Using Design Research and History to Tackle a Fundamental Problem with School Algebra
編輯Sinan Kanbir,M. A. (Ken) Clements,Nerida F. Ellert
視頻videohttp://file.papertrans.cn/945/944554/944554.mp4
概述First book to present a history of school algebra.Introduces a design research approach to solving the fundamental problem of school algebra.Features a foreword written by A. Eamonn Kelly, the world‘s
叢書(shū)名稱History of Mathematics Education
圖書(shū)封面Titlebook: Using Design Research and History to Tackle a Fundamental Problem with School Algebra;  Sinan Kanbir,M. A. (Ken) Clements,Nerida F. Ellert
描述In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics—why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem.?.The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component..The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies,(b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary
出版日期Book 2018
關(guān)鍵詞History of education; History of algebra education; Design research in education; Algebra education; Sch
版次1
doihttps://doi.org/10.1007/978-3-319-59204-6
isbn_softcover978-3-319-86568-3
isbn_ebook978-3-319-59204-6Series ISSN 2509-9736 Series E-ISSN 2509-9744
issn_series 2509-9736
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Quantitative Analyses of Data,shops and the modeling workshops) were large. The chapter concludes by introducing two questions. First, although the performance gains were highly . significant, and the effect sizes large, were they . significant? And, second, “What was there about the interventions which generated such apparently impressive results?”
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Historical Reflections on How Algebra Became a Vital Component of Middle- and Secondary-School Currbra. The following six purposes for school algebra, recognized by various writers over the past three centuries, are then identified: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for e
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