algebra a teaching and source book

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Author : Ernest Shult
ISBN : 9783319197340
Genre : Mathematics
File Size : 35. 53 MB
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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 : Nettie Fabrie
ISBN : 1892857243
Genre : Mathematics
File Size : 58. 82 MB
Format : PDF
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Fundamentals Of Algebra Practice Book

Author : Alfred S. Posamentier
ISBN : 0821582275
Genre : Juvenile Nonfiction
File Size : 23. 58 MB
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Algebra To Go

Author : Great Source Education Group
ISBN : 0669471518
Genre : Juvenile Nonfiction
File Size : 75. 29 MB
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A resource providing explanations, charts, graphs, and numerous examples to help students understand and retain algebraic concepts.

Connecting Arithmetic To Algebra

Author : Susan Jo Russell
ISBN : 0325041911
Genre : Education
File Size : 80. 64 MB
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"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. PLCs and book-study groups! Save $47.25 when you purchase 15 copies with the Book Study Bundle. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.

The Sourcebook For Teaching Science Grades 6 12

Author : Norman Herr
ISBN : 9780787972981
Genre : Education
File Size : 30. 13 MB
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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.

Mathematics For High School Teachers

Author : Anthony L. Peressini
ISBN : 0130449415
Genre : Mathematics
File Size : 81. 18 MB
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This book gives readers a comprehensive look at the most important concepts in the mathematics taught in grades 9-12. Real numbers, functions, congruence, similarity, area and volume, trigonometry and more. For high school mathematics teachers, mathematics supervisors, mathematics coordinators, mathematicians, and users of the University of Chicago School Mathematics Project materials for grades 7-12 who want a comprehensive reference book to use throughout their careers or anyone who wants a better understanding of mathematics.

College Algebra

Author : Jay P. Abramson
ISBN : 1938168380
Genre : Algebra
File Size : 30. 23 MB
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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.

Forgotten Algebra

Author : Barbara Lee Bleau
ISBN : 1438001509
Genre : Mathematics
File Size : 24. 39 MB
Format : PDF, Kindle
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Presents the principles of basic algebra, covering such topics as symbols, first- and second-degree equations, signed numbers, right triangles, polynomials, inequalities, logarithms, exponents, factoring, and graphs.

A Source Book In Mathematics 1200 1800

Author : Dirk Jan Struik
ISBN : 9781400858002
Genre : Mathematics
File Size : 33. 29 MB
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These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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