The Language of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387728597
Total Pages : 186 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis The Language of Mathematics by : Bill Barton

Download or read book The Language of Mathematics written by Bill Barton and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book emerges from several contemporary concerns in mathematics, language, and mathematics education. However, the book takes a different stance with respect to language by combining discussion of linguistics and mathematics using examples from each to illustrate the other. The picture that emerges is of a subject that is much more contingent, much more relative, much more subject to human experience than is usually accepted. Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.

The Language of Mathematics

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Author :
Publisher : Macmillan
ISBN 13 : 9780805072549
Total Pages : 372 pages
Book Rating : 4.0/5 (725 download)

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Book Synopsis The Language of Mathematics by : Keith Devlin

Download or read book The Language of Mathematics written by Keith Devlin and published by Macmillan. This book was released on 2000-03-13 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking the reader on a wondrous journey through the invisible universe that surrounds us--a universe made visible by mathematics--Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, and allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers--all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture.

The Language of Mathematics

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118061764
Total Pages : 350 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Language of Mathematics by : Robert L. Baber

Download or read book The Language of Mathematics written by Robert L. Baber and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.

Language and Communication in Mathematics Education

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Author :
Publisher : Springer
ISBN 13 : 3319750550
Total Pages : 268 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Language and Communication in Mathematics Education by : Judit N. Moschkovich

Download or read book Language and Communication in Mathematics Education written by Judit N. Moschkovich and published by Springer. This book was released on 2018-03-27 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers some of the outstanding questions regarding language and communication in the teaching and learning of mathematics – an established theme in mathematics education research, which is growing in prominence. Recent research has demonstrated the wide range of theoretical and methodological resources that can contribute to this area of study, including those drawing on cross-disciplinary perspectives influenced by, among others, sociology, psychology, linguistics, and semiotics. Examining language in its broadest sense to include all modes of communication, including visual and gestural as well as spoken and written modes, it features work presented and discussed in the Language and Communication topic study group (TSG 31) at the 13th International Congress on Mathematical Education (ICME-13). A joint session with participants of the Mathematics Education in a Multilingual and Multicultural Environment topic study group (TSG 32) enhanced discussions, which are incorporated in elaborations included in this book. Discussing cross-cutting topics it appeals to readers from a wide range of disciplines, such as mathematics education and research methods in education, multilingualism, applied linguistics and beyond.

The Language of Mathematics

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Author :
Publisher : Springer
ISBN 13 : 3642370128
Total Pages : 273 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Language of Mathematics by : Mohan Ganesalingam

Download or read book The Language of Mathematics written by Mohan Ganesalingam and published by Springer. This book was released on 2013-03-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers

Language and Mathematics Education

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Author :
Publisher : Information Age Pub Incorporated
ISBN 13 : 9781617351594
Total Pages : 180 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Language and Mathematics Education by : Judit N. Moschkovich

Download or read book Language and Mathematics Education written by Judit N. Moschkovich and published by Information Age Pub Incorporated. This book was released on 2010 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, Iowa State University Marketing description: Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutierrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.

Mathematics of Language

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Author :
Publisher : John Benjamins Publishing
ISBN 13 : 9027220492
Total Pages : 412 pages
Book Rating : 4.0/5 (272 download)

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Book Synopsis Mathematics of Language by : Alexis Manaster-Ramer

Download or read book Mathematics of Language written by Alexis Manaster-Ramer and published by John Benjamins Publishing. This book was released on 1987-01-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: By mathematics of language is meant the mathematical properties that may, under certain assumptions about modeling, be attributed to human languages and related symbolic systems, as well as the increasingly active and autonomous scholarly discipline that studies such things. More specifically, the use of techniques developed in a variety of pure and applied mathematics, including logic and the theory of computation, in the discovery and articulation of insights into the structure of language. Some of the contributions to this volume deal primarily with foundational issues, others with specific models and theoretical issues. A few are concerned with semantics, but most focus on syntax. The papers in this volume reveal applications of the several fields of the theory of computation (formal languages, automata, complexity), formal logic, topology, set theory, graph theory, and statistics. The book also shows a keen interest in developing mathematical models that are especially suited to natural languages.

Precalculus

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Publisher : Pearson
ISBN 13 : 9780536083586
Total Pages : 0 pages
Book Rating : 4.0/5 (835 download)

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Book Synopsis Precalculus by : Warren W. Esty

Download or read book Precalculus written by Warren W. Esty and published by Pearson. This book was released on 2007-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as a bridge from high school Algebra II and trigonometry to college calculus,Warren Esty's Precalculus fills the need for a text that delves deeper into the power of algebra and algebraic notation than the usual texts that emphasize calculation skills. The text includes the usual precalculus material, such as functions, powers, polynomials, logarithms, exponentials, and trigonometry, while placing special emphasis on learning how to read and use mathematical symbolism. As it is not designed for a terminal course, Precalculus offers students the tools they need to retain what they learn. For example, in addition to the usual calculation problems for practice, the text has problems that ask for an illustration, explanation, or a statement in mathematical notation, rather than just a computation; in fact, some problems ask for the plan and not the answer. Typically, students do well with algebra if the context is simple and the computation is with numbers; however, they have a harder time at the deeper level required to do word problems and calculus, which ask students to write about operations applied to letters (variables). Thus, texts that duplicate the calculation-oriented algebra of high school without stressing algebraic symbolism-with letters as they appear every day in calculus-fall short in preparing students for higher math. Precalculus does not.

English Language Learners in the Mathematics Classroom

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Publisher : Corwin Press
ISBN 13 : 1452282501
Total Pages : 145 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis English Language Learners in the Mathematics Classroom by : Debra Coggins

Download or read book English Language Learners in the Mathematics Classroom written by Debra Coggins and published by Corwin Press. This book was released on 2007-01-30 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strengthen mathematical understandings and academic vocabulary with standards-based strategies! With straightforward language and examples, the authors help teachers develop specialized understanding and knowledge of strategies for supporting a high level of mathematics learning along with language acquisition for ELLs. Providing specific suggestions for teaching standards-based mathematics, this resource: Demonstrates how to incorporate ELL supports and strategies through sample lessons Uses concrete materials and visuals to connect mathematical concepts with language development Focuses on essential mathematical vocabulary Includes brief research summaries with rationales for recommended practices

The Mathematics of Language

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 9783110176209
Total Pages : 616 pages
Book Rating : 4.1/5 (762 download)

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Book Synopsis The Mathematics of Language by : Marcus Kracht

Download or read book The Mathematics of Language written by Marcus Kracht and published by Walter de Gruyter. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Introduction to Formal Languages

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Publisher : Courier Corporation
ISBN 13 : 0486169375
Total Pages : 208 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Formal Languages by : György E. Révész

Download or read book Introduction to Formal Languages written by György E. Révész and published by Courier Corporation. This book was released on 2015-03-17 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers all areas, including operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Numerous worked examples, problem exercises, and elegant mathematical proofs. 1983 edition.

The Problem with Math Is English

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Publisher : John Wiley & Sons
ISBN 13 : 1118237021
Total Pages : 310 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis The Problem with Math Is English by : Concepcion Molina

Download or read book The Problem with Math Is English written by Concepcion Molina and published by John Wiley & Sons. This book was released on 2012-09-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching K-12 math becomes an easier task when everyone understands the language, symbolism, and representation of math concepts Published in partnership with SEDL, The Problem with Math Is English illustrates how students often understand fundamental mathematical concepts at a superficial level. Written to inspire ?aha? moments, this book enables teachers to help students identify and comprehend the nuances and true meaning of math concepts by exploring them through the lenses of language and symbolism, delving into such essential topics as multiplication, division, fractions, place value, proportional reasoning, graphs, slope, order of operations, and the distributive property. Offers a new way to approach teaching math content in a way that will improve how all students, and especially English language learners, understand math Emphasizes major attributes of conceptual understanding in mathematics, including simple yet deep definitions of key terms, connections among key topics, and insightful interpretation This important new book fills a gap in math education by illustrating how a deeper knowledge of math concepts can be developed in all students through a focus on language and symbolism.

The Language of Math

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Publisher :
ISBN 13 : 9780923573232
Total Pages : 135 pages
Book Rating : 4.5/5 (732 download)

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Book Synopsis The Language of Math by : Marilyn M. Toomey

Download or read book The Language of Math written by Marilyn M. Toomey and published by . This book was released on 1996 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to help students identify terms associated with quantity, order math operations and principles of math in daily experience and also to suggest ways of "talking through" simple math operations and the reasons supporting them. For early primary grade students.

Mathematics Education and Language Diversity

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Author :
Publisher : Springer
ISBN 13 : 3319145118
Total Pages : 321 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Mathematics Education and Language Diversity by : Richard Barwell

Download or read book Mathematics Education and Language Diversity written by Richard Barwell and published by Springer. This book was released on 2015-11-25 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity

Basic Language Of Mathematics

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Publisher : World Scientific
ISBN 13 : 9814596116
Total Pages : 321 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Basic Language Of Mathematics by : Juan Jorge Schaffer

Download or read book Basic Language Of Mathematics written by Juan Jorge Schaffer and published by World Scientific. This book was released on 2014-05-16 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable.The book is intended to provide a comprehensive and rigorous account of the concepts of set, mapping, family, order, number (both natural and real), as well as such distinct procedures as proof by induction and recursive definition, and the interaction between these ideas; with attempts at including insightful notes on historic and cultural settings and information on alternative presentations. The work ends with an excursion on infinite sets, principally a discussion of the mathematics of Axiom of Choice and often very useful equivalent statements.

The Language of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (716 download)

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Book Synopsis The Language of Mathematics by : Frank Land

Download or read book The Language of Mathematics written by Frank Land and published by . This book was released on 1966 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math on the Move

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325074702
Total Pages : 0 pages
Book Rating : 4.0/5 (747 download)

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Book Synopsis Math on the Move by : Malke Rosenfeld

Download or read book Math on the Move written by Malke Rosenfeld and published by Heinemann Educational Books. This book was released on 2016-10-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.