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What Counts as Mathematics?

Author: Gail E. FitzSimons

Publisher: Springer Science & Business Media

Published: 2005-12-15

Total Pages: 280

ISBN-13: 0306476835

This book presents an institutional study located at the intersection mathematics education and vocational education. Using the concept of technology as a unifying theme, it presents a critique of neoliberalist policies and their impact upon curriculum, teachers' work, and the apparent de-institutionalization of vocational education - with particular reference to mathematics education and the consequences for adult students as (potential) workers and citizens.

What Counts

Author: Brian Butterworth

Publisher:

Published: 1999

Total Pages: 440

ISBN-13:

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Though he admits to not being particularly good at math, Butterworth (cognitive neuropsychology, U. College, London), the founder of the Mathematical Cognition journal, contends that we all possess an inherent "numerosity" sense--developed to different degrees of course. The author bases his case on empirical research and historical speculation. Annotation copyrighted by Book News, Inc., Portland, OR

Mathematics of Choice

Author: Ivan Niven

Publisher: MAA

Published: 1965

Total Pages: 215

ISBN-13: 0883856158

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Do I Count?

Author: Gunter M. Ziegler

Publisher: CRC Press

Published: 2013-07-22

Total Pages: 228

ISBN-13: 1466564911

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The subject of mathematics is not something distant, strange, and abstract that you can only learn about—and often dislike—in school. It is in everyday situations, such as housekeeping, communications, traffic, and weather reports. Taking you on a trip into the world of mathematics, Do I Count? Stories from Mathematics describes in a clear and captivating way the people behind the numbers and the places where mathematics is made. Written by top scientist and engaging storyteller Günter M. Ziegler and translated by Thomas von Foerster, the book presents mathematics and mathematicians in a manner that you have not previously encountered. It guides you on a scenic tour through the field, pointing out which beds were useful in constructing which theorems and which notebooks list the prizes for solving particular problems. Forgoing esoteric areas, the text relates mathematics to celebrities, history, travel, politics, science and technology, weather, clever puzzles, and the future. Can bees count? Is 13 bad luck? Are there equations for everything? What’s the real practical value of the Pythagorean Theorem? Are there Sudoku puzzles with fewer than 17 entries and just one solution? Where and how do mathematicians work? Who invented proofs and why do we need them? Why is there no Nobel Prize for mathematics? What kind of life did Paul Erdős lead? Find out the answers to these and other questions in this entertaining book of stories. You’ll see that everyone counts, but no computation is needed.

Count on Math

Author: Pamela Byrne Schiller

Publisher: Gryphon House, Inc.

Published: 1997

Total Pages: 276

ISBN-13: 9780876591888

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"A complete guide for teachers and parents offering math activities designed to develop concepts sequentially, using everyday materials."--Cover.

What Counts in Teaching Mathematics

Author: Sandy Schuck

Publisher: Springer Science & Business Media

Published: 2011-02-04

Total Pages: 195

ISBN-13: 9400704615

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In this book, internationally recognised scholars and practitioners synthesise current practice and research developments in the area of mathematics teacher education and mathematics education. The book’s two sections examine the role and significance of collaborations and critical friends in the self-study of mathematics teaching and teacher education; and the emerging conflicts, dilemmas and incongruities arising from the study of mathematics education practices. The book considers the insights gained from self-analysis regarding the practitioner themselves, as well as their pedagogical content, students and approaches. The contributions highlight the complexity, characteristics and features of mathematics education. The chapters reveal nuances in teaching and learning that are of particular relevance in mathematics education. In addition, the book contains ideas and suggestions on how to enhance the teaching of mathematical content to pre-service teachers. Accordingly, the book appeals to a wide audience of educators—including education academics, teachers, student teachers and researchers. As teacher educators involved in mathematics education, reflection on practice and engagement in practitioner research is becoming increasingly important in our efforts to enhance our teaching. Teachers and student teachers also gain from the insights arising from such reflection. The knowledge and experience encapsulated in this book provides much for the mathematics education community to build on.

Measuring What Counts

Author: National Research Council

Publisher: National Academies Press

Published: 1993-02-01

Total Pages: 240

ISBN-13: 0309049814

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To achieve national goals for education, we must measure the things that really count. Measuring What Counts establishes crucial research- based connections between standards and assessment. Arguing for a better balance between educational and measurement concerns in the development and use of mathematics assessment, this book sets forth three principlesâ€"related to content, learning, and equityâ€"that can form the basis for new assessments that support emerging national standards in mathematics education.

What is Mathematics?

Author: Richard Courant

Publisher: Oxford University Press, USA

Published: 1996

Total Pages: 596

ISBN-13: 9780195105193

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The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Math Fables

Author: Greg Tang

Publisher: Scholastic Inc.

Published: 2016-05-31

Total Pages: 44

ISBN-13: 0545364256

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From 1 to 10, these "lessons that count" are math magic for learning addition and subtraction. Greg Tang has built his career as an author and math missionary on the power of creative problem solving. Now, through winsome "fables" about concepts that are relevant to the very youngest math learners -- sharing, teamwork, etc. -- Greg encourages kids to see the basics of addition and subtraction in entirely new ways. Fresh, fun, and most of all, inspiring, MATH FABLES is perfect for launching young readers on the road to math success!

How to Count

Author: R.B.J.T. Allenby

Publisher: CRC Press

Published: 2011-07-01

Total Pages: 440

ISBN-13: 1420082612

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Emphasizes a Problem Solving Approach A first course in combinatorics Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. New to the Second Edition This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.