algebra a teaching and source book

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Algebra

Author : Ernest Shult
ISBN : 9783319197340
Genre : Mathematics
File Size : 53. 23 MB
Format : PDF
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This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.

Making Math Meaningful

Author : Jamie York
ISBN : 1938210190
Genre :
File Size : 64. 1 MB
Format : PDF
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A source book for teaching high school math based on Jamie York and Andrew Starzynski's curriculum.

Teaching Mathematics

Author : Max A. Sobel
ISBN : 0205292569
Genre : Education
File Size : 28. 71 MB
Format : PDF, ePub, Mobi
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The art of teaching math lies in the ability of the instructor to motivate and inspire individuals to look beyond the numbers and understand the concepts. This book is designed to revive this art, focusing more on the aspects of learning the ideas behind the math rather than the sheer mechanics of mathematical operation. This text addresses the art of teaching mathematics while also providing specific aids and activities in arithmetic, geometry, algebra and probability and statistics for use in the classroom. The authors pay close attention to the role, importance, methods and techniques of motivation. They present ideas that will generate attention, interest, and surprise among students, and will thus foster creative thinking. The material in the text is based on talks given by the authors at professional meetings, as well as the actual application of their ideas in undergraduate and graduate classes they taught. Additionally, many laboratory and discovery activities have been used by authors in teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.

Math To Know

Author : Mary C. Cavanagh
ISBN : 0669535974
Genre : Juvenile Nonfiction
File Size : 69. 28 MB
Format : PDF, Mobi
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A math resource for school and home.

Algebra To Go

Author : Great Source Education Group
ISBN : 0669471518
Genre : Juvenile Nonfiction
File Size : 56. 46 MB
Format : PDF
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A resource providing explanations, charts, graphs, and numerous examples to help students understand and retain algebraic concepts.

The Sourcebook For Teaching Science Grades 6 12

Author : Norman Herr
ISBN : 9780787972981
Genre : Education
File Size : 82. 15 MB
Format : PDF, Kindle
Download : 184
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A resource for middle and high school teachers offers activities, lesson plans, experiments, demonstrations, and games for teaching physics, chemistry, biology, and the earth and space sciences.

Fundamentals Of Algebra Practice Book

Author : Alfred S. Posamentier
ISBN : 0821582275
Genre : Juvenile Nonfiction
File Size : 59. 63 MB
Format : PDF, Docs
Download : 607
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College Algebra

Author : Jay P. Abramson
ISBN : 1938168380
Genre : Algebra
File Size : 32. 48 MB
Format : PDF, ePub, Docs
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"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.

Reading And Writing Sourcebook

Author : Robert A. Pavlik
ISBN : 066947133X
Genre : Juvenile Nonfiction
File Size : 45. 24 MB
Format : PDF
Download : 875
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Algebra And Trigonometry

Author : Jay P. Abramson
ISBN : 1938168372
Genre : Algebra
File Size : 70. 63 MB
Format : PDF
Download : 794
Read : 568

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"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.

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