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Crossroads in the history of mathematics and mathematics education

ผู้แต่ง: Bharath Sriraman
สำนักพิมพ์: Charlotte, NC : Information Age Pub. ; Missoula, MT : Montana Council of Teachers of Mathematics, ©2012.
ชุด: Montana mathematics enthusiast, monograph 12.
ครั้งที่พิมพ์/รูปแบบ:   Print book : ภาษาอังกฤษดูครั้งที่พิมพ์และรูปแบบ
ฐานข้อมูล:WorldCat
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"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  อ่านมากขึ้น…
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ประเภท/แบบฟอร์ม History
ประเภทของเอกสาร: หนังสือ
ผู้แต่งทั้งหมด : ผู้แต่งร่วม Bharath Sriraman
ISBN: 9781617357046 1617357049 9781617357053 1617357057 9781617357060 1617357065
OCLC Number: 798067087
คำอธิบาย: ix, 370 pages : illustrations, facsimiles ; 28 cm.
สารบัญ: Topics in History and Didactics of Calculus and Analysis --
1. A note on the institutionalization of mathematical knowledge or "What was and is the Fundamental Theorem of Calculus, really"? / Anna Klisinska --
2. Transitioning students to calculus: Using history as a guide / Matt Roscoe --
3. The tension between intuitive infinitesimals and formal mathematical analysis / David Tall --
4. The didactical nature of some lesser known historical examples in mathematics / Bharath Sriraman --
5. The Brachistochrone Problem: Mathematics for a Broad Audience via a Large Context Problem / James Currie --
6. Chopping Logs: A Look at the History and Uses of Logarithms / Rafael Villarreal-Calderon --
7. The history of mathematics as a pedagogical tool: Teaching the integral of the secant via Mercator's projection / Matt Roscoe --
Topics in the History and Didactics of Geometry and Number. 8. Euclid's Book on the Regular Solids: Its Place in the Elements and Its Educational Value / Michael N. Fried --
9. Book X of The Elements: Ordering Irrationals / Jade Roskam --
10. The Origins of the Genus Concept in Binary Quadratic Forms / Azar Khosravani --
11. Where are the Plans: A socio-critical and architectural survey of early Egyptian Mathematics / Rachel Saltzstein --
History of Mathematics in Mathematics Education --
12. Classifying the arguments and methodological schemes for integrating history in mathematics education / Yannis Thomaidis --
13. A first attempt to identify and classify empirical studies on history in mathematics education / Uffe Thomas Jankvist --
14. 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.
ชื่อชุด: Montana mathematics enthusiast, monograph 12.
ความรับผิดชอบ: edited by Bharath Sriraman.

บทคัดย่อ:

"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

โดย MathBook_worm (ผู้ใช้ WorldCat ที่พิมพ์เผยแพร่ 2013-01-19) ดีมาก 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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