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Crossroads in the history of mathematics and mathematics education

著者: Bharath Sriraman
出版商: Charlotte, NC : Information Age Pub., ©2012.
丛书: Montana mathematics enthusiast, monograph 12.
版本/格式:   图书 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
"The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning  再读一些...
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类型/形式: History
文件类型:
所有的著者/提供者: Bharath Sriraman
ISBN: 9781617357046 1617357049 9781617357053 1617357057 9781617357060 1617357065
OCLC号码: 798067087
描述: ix, 370 pages : illustrations, facsimiles ; 28 cm.
内容: A note on the institutionalization of mathematical knowledge or "What was and is the Fundamental Theorem of Calculus, really"? / Eva Jablonka and Anna Klisinska --
Transitioning students to calculus: using history as a guide / Nicolas Haverhals and Matt Roscoe --
The tension between intuitive infinitesimals and formal mathematical analysis / Mikhail Katz and David Tall --
The didactical nature of some lesser known historical examples in mathematics / Kajsa Bråting, Nicholas Kallem, and Bharath Sriraman --
The brachistochrone problem: mathematics for a broad audience via a large context problem / Jeff Babb and James Currie --
Chopping logs: a look at the history and uses of logarithms / Rafael Villarreal-Calderon --
The history of mathematics as a pedagogical tool: teaching the integral of the secant via Mercator's projection / Nicolas Haverhals and Matt Roscoe. Euclid's book on the regular solids: its place in the elements and its educational value / Michael N. Fried --
Book X of the elements: ordering irrationals / Jade Roskam --
The origins of the genus concept in binary quadratic forms / Mark Beintema and Azar Khosravani --
Where are the plans: a socio-critical and architectural survey of early Egyptian mathematics / Gabriel Johnson, Bharath Sriraman, and Rachel Saltzstein --
Classifying the arguments and methodological schemes for integrating history in mathematics education / Constantinos Tzanakis and Yannis Thomaidis --
A first attempt to identify and classify empirical studies on history in mathematics education / Uffe Thomas Jankvist --
Reflections on and benefits of uses of history in mathematics education exemplified by two types of student work in upper secondary school / Tinne Hoff Kjeldsen --
Adversarial and friendly interactions : progress in 17th century mathematics / Shirley B. Gray and Libby Knott.
丛书名: Montana mathematics enthusiast, monograph 12.
责任: edited by Bharath Sriraman.

摘要:

"The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers."--Back cover.

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History of Calculus

评论者是 MathBook_worm (公布的WorldCat用户 2013-01-19) 很好 Permalink

The chapters covering the history of Calculus in this book are interesting to read especially for someone that has wondered why or what motivated its development. The fact that there is really no agreed upon form on the FTC in terms of its historical development and the institutionalization of...
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