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Math Through the Ages

Math Through the Ages Author William P. Berlinghoff
ISBN-10 0883857367
Release 2004
Pages 273
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An informal and accessible overview of the history of mathematics.

Number Theory Through Inquiry

Number Theory Through Inquiry Author David C. Marshall
ISBN-10 9780883857519
Release 2007
Pages 140
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This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for independent study, or for a course designed as an introduction to abstract mathematics. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors' materials explain the instructional method, which gives students a totally different experience compared to a standard lecture course. Students develop an attitude of personal reliance and a sense that they can think effectively about difficult problems; goals that are fundamental to the educational enterprise within and beyond mathematics.

Using History to Teach Mathematics

Using History to Teach Mathematics Author Victor J. Katz
ISBN-10 0883851636
Release 2000-09-21
Pages 261
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This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

Learn from the Masters

Learn from the Masters Author Frank Swetz
ISBN-10 0883857030
Release 1995
Pages 303
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How to use history to teach mathematics; for high school and college teachers.


Geometry Author Judith D. Sally
ISBN-10 9780821853627
Release 2011
Pages 202
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This geometry book is written foremost for future and current middle school teachers, but is also designed for elementary and high school teachers. The book consists of ten seminars covering in a rigourous way the fundamental topics in school geometry, including all of the significant topics in high school geometry. The seminars are crafted to clarify and enhance understanding of the subject. Concepts in plane and solid geometry are carefully explained, and activities that teachers can use in their classrooms are emphasised. The book draws on the pictorial nature of geometry since that is what attracts students at every level to the subject. The book should give teachers a firm foundation on which to base their instruction in the elementary and middle grades. In addition, it should help teachers give their students a solid basis for the geometry that they will study in high school. The book is also intended to be a source for problems in geometry for enrichment programmes such as Math Circles and Young Scholars.

Vita Mathematica

Vita Mathematica Author Ronald Calinger
ISBN-10 0883850974
Release 1996
Pages 359
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Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.

The History of Mathematics A Very Short Introduction

The History of Mathematics  A Very Short Introduction Author Jacqueline Stedall
ISBN-10 9780191633966
Release 2012-02-23
Pages 144
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Mathematics is a fundamental human activity that can be practised and understood in a multitude of ways; indeed, mathematical ideas themselves are far from being fixed, but are adapted and changed by their passage across periods and cultures. In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day. Arranged thematically, to exemplify the varied contexts in which people have learned, used, and handed on mathematics, she also includes illustrative case studies drawn from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Mathematical Apocrypha

Mathematical Apocrypha Author Steven G. Krantz
ISBN-10 0883855399
Release 2002-09-12
Pages 214
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Collection of stories about famous contemporary mathematicians, with illustrations.

Dipa Ma

Dipa Ma Author Amy Schmidt
ISBN-10 9781907314803
Release 2012-05-31
Pages 176
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Read the life story and spiritual teachings of Dipa Ma, a major figure in contemporary Buddhism. She was the teacher of such well-respected western Buddhists as Jack Kornfield, Sharon Salzberg, Joseph Goldstein, Alice Walker and Sylvia Boorstein, among others. An accomplished yogi, she was an inspired teacher and a devoted mother and grandmother. A woman who found great freedom through profound levels of insight and one who exemplified in her every action immense kindness, generosity, and mindfulness.

Leonardo Pisano Fibonacci

Leonardo Pisano  Fibonacci Author L. E. Sigler
ISBN-10 9780080886503
Release 2014-06-28
Pages 144
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The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.

Algebra Connections

Algebra Connections Author Ira J. Papick
ISBN-10 0131449281
Release 2007
Pages 348
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Strong mathematics performance in the middle grades is more important than ever—and teachers entering the field need to prepare for this endeavor in new and innovative ways. This new approach introduces some basic concepts of number theory and modern algebra that underlie middle grade arithmetic and algebra, with a focus on collaborative learning combined with extensive in-class and out-of-class assignments.Gives both pre-service and in-service teachers a fundamental understanding of the key mathematical ideas that they will be teaching, so that in turn they can help their students learn important mathematics. Directly connects college-level abstract algebra and number theory to standards-based middle grade mathematics curricula. Gives specific examples from middle-grade curricular materials to show readers the direct connections between the mathematics they are learning and the mathematics they will be teaching. Focuses on the mathematics in new reform materials. Offers Classroom Problems and Classroom Discussions that focus on discovery and collaborative learning.A useful reference for teachers of middle-grades mathematics.

Math through the ages a gentle history for teachers and others expanded edition

Math through the ages   a gentle history for teachers and others  expanded edition Author William P.; Gouvea Berlinghoff (Fernando Q.)
ISBN-10 OCLC:1004906942
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Math through the ages a gentle history for teachers and others expanded edition has been writing in one form or another for most of life. You can find so many inspiration from Math through the ages a gentle history for teachers and others expanded edition also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Math through the ages a gentle history for teachers and others expanded edition book for free.

A Guide to Groups Rings and Fields

A Guide to Groups  Rings  and Fields Author Fernando Q. Gouvêa
ISBN-10 9780883853559
Release 2012
Pages 309
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This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals.In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs.Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work.

Knee Deep in Grace

Knee Deep in Grace Author Amy Schmidt
ISBN-10 0963078461
Release 2002-11-01
Pages 200
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A tiny Indian woman leading an inconspicuous life in Calcutta profoundly influenced the evolution and teaching of Buddhist meditation practice in America. Knee Deep in Grace presents the life story of Dipa Ma Barua, along with the essential spiritual teachings that make her a towering figure in contemporary Buddhism. While she experienced fame in her lifetime and had a following of many Burmese, Indian, and American students, she was like the women saints of the Vedas, "remarkable women...from the dawn of history...who achieved realization while cleaning their homes and raising their children" (Daughters of the Goddess: Women Saints of India). Dipa Ma was a primary teacher of Sharon Salzberg Jack Kornfield, and Joseph Goldstein, who have been among the most influential "importers" of Buddhism to America. Through the centers they founded and the teachers trained in them (the author among them), the example and teaching of Dipa Ma reach multitudes. Jack Kornfield described the power of Ma's influence: "Without anything said or done, just the impact of meeting a person so developed can be enough to change one's whole way of life." Knee Deep in Grace is filled with intimate stories collected over a period of ten years, not only from prominent meditation teachers in the West but from Dipa Ma's daughter and grandson and her Calcutta students. Dipa Ma addressed her teaching to ordinary people in her apartment complex and her extended family, and her iconoclastic style of daily life "immersion" practice brought many of her students to awakening.


Trigonometry Author James Tanton
ISBN-10 9780883858363
Release 2015-08-10
Pages 232
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This guide covers the story of trigonometry. It is a swift overview, but it is complete in the context of the content discussed in beginning and advanced high-school courses. The purpose of these notes is to supplement and put into perspective the material of any course on the subject you may have taken or are currently taking. (These notes will be tough going for those encountering trigonometry for the very first time!)

A History of Mathematics Education During the Twentieth Century

A History of Mathematics Education During the Twentieth Century Author Angela Lynn Evans Walmsley
ISBN-10 STANFORD:36105124090999
Release 2007-01-01
Pages 78
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A History of Mathematics Education during the Twentieth Century describes the history of mathematics education in the United States with conceptual themes concerning philosophy, mathematics content, teacher education, pedagogy, and assessment. Each decade of the twentieth century is analyzed using historical documents, within the context of the aforementioned themes, to create a concise history of mathematical reform as it relates to history within the United States. Finally, conclusions are drawn as to which reform movements are similar and different throughout the century depicting which aspects of reform can be seen again. Mathematics education tends to swing on a pendulum from "traditional education" including teacher-directed instruction with an emphasis on computation skills to "reform education," including student-directed instruction with an emphasis on problem solving. All decades are analyzed to see where they were on the pendulum and what aspects may have contributed to the current reform movements led by the Standards movement."


Chaos Author Richard Kautz
ISBN-10 9780199594580
Release 2010-11-04
Pages 369
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Chaos: The Science of Predictable Random Motion bridges the gap between introductions for the layman and college-level texts with an account of chaos theory based on elementary mathematics. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by numerousfigures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory.