Mathematical Thinking And Writing

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Mathematical Thinking And Writing

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Author : Randall Maddox
language : en
Publisher: Elsevier
Release Date : 2001-07-24

Mathematical Thinking And Writing written by Randall Maddox and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-24 with Mathematics categories.

The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language of proof construction and critical analysis. Randall Maddox guides the reader with a warm, conversational style, through the task of gaining a thorough understanding of the proof process, and encourages inexperienced mathematicians to step up and learn how to think like a mathematician. A student's skills in critical analysis will develop and become more polished than previously conceived. Most significantly, Dr. Maddox has the unique approach of using analogy within his book to clarify abstract ideas and clearly demonstrate methods of mathematical precision.

A Transition To Abstract Mathematics

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Author : Randall Maddox
language : en
Publisher: Academic Press
Release Date : 2008-10-13

A Transition To Abstract Mathematics written by Randall Maddox and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-13 with Mathematics categories.

Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is based on two premises: composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point.Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure. After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas. - Covers the full range of techniques used in proofs, including contrapositive, induction, and proof by contradiction - Explains identification of techniques and how they are applied in the specific problem - Illustrates how to read written proofs with many step by step examples - Includes 20% more exercises than the first edition that are integrated into the material instead of end of chapter

Writing Activities To Develop Mathematical Thinking

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Author : M. Ann Dirkes
language : en
Publisher:
Release Date : 1990

Writing Activities To Develop Mathematical Thinking written by M. Ann Dirkes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

A Window Into Mathematical Thinking

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Author : Sharon Z. Draznin
language : en
Publisher:
Release Date : 1997

A Window Into Mathematical Thinking written by Sharon Z. Draznin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

Studyguide For A Transition To Abstract Mathematics

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Author : Cram101 Textbook Reviews
language : en
Publisher: Cram101
Release Date : 2013-05

Studyguide For A Transition To Abstract Mathematics written by Cram101 Textbook Reviews and has been published by Cram101 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05 with categories.

Never HIGHLIGHT a Book Again Virtually all testable terms, concepts, persons, places, and events are included. Cram101 Textbook Outlines gives all of the outlines, highlights, notes for your textbook with optional online practice tests. Only Cram101 Outlines are Textbook Specific. Cram101 is NOT the Textbook. Accompanys: 9780521673761

Math Is Language Too

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Author : Phyllis Whitin
language : en
Publisher: National Council of Teachers of English (Ncte)
Release Date : 2000

Math Is Language Too written by Phyllis Whitin and has been published by National Council of Teachers of English (Ncte) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Education categories.

Describes strategies for helping children learn about math in which students write, draw, and talk to each other about the individual ways they work through math concepts.

Literacy Strategies For Improving Mathematics Instruction

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Author : Joan M. Kenney
language : en
Publisher: ASCD
Release Date : 2005-10-15

Literacy Strategies For Improving Mathematics Instruction written by Joan M. Kenney and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-15 with Education categories.

An eye-opening look at how teachers can use literacy strategies to help students better understand mathematics.

Mathematical Thinking And The Structure Of Proofs

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Author : Penelope A. Coe
language : en
Publisher:
Release Date : 2008

Mathematical Thinking And The Structure Of Proofs written by Penelope A. Coe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Logic, Symbolic and mathematical categories.

Using Children S Writing As A Window Into Their Mathematical Thinking

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Author : Jill DuBreuil Troy
language : en
Publisher:
Release Date : 1998

Using Children S Writing As A Window Into Their Mathematical Thinking written by Jill DuBreuil Troy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

The Best Writing On Mathematics 2017

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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2017-11-14

The Best Writing On Mathematics 2017 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-14 with Mathematics categories.

The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.