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.

How We Understand Mathematics

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Author :
Publisher : Springer
ISBN 13 : 3319776886
Total Pages : 122 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis How We Understand Mathematics by : Jacek Woźny

Download or read book How We Understand Mathematics written by Jacek Woźny and published by Springer. This book was released on 2018-04-25 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. This book will be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well.

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.

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.

An Introduction to the Language of Mathematics

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Author :
Publisher : Springer
ISBN 13 : 3030006417
Total Pages : 191 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis An Introduction to the Language of Mathematics by : Frédéric Mynard

Download or read book An Introduction to the Language of Mathematics written by Frédéric Mynard and published by Springer. This book was released on 2018-11-24 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculus) to proof-based mathematics. It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. It then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with extensive examples. An in-depth treatment of relations, particularly equivalence and order relations completes the exposition of the basic language of mathematics. The last chapter treats infinite cardinalities. An appendix gives some complement on induction and order, and another provides full solutions of the in-text exercises. The primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for self-study.

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

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.

English Language Learners in the Mathematics Classroom

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Author :
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

Teaching Mathematics to English Language Learners

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Author :
Publisher : Routledge
ISBN 13 : 1136227598
Total Pages : 225 pages
Book Rating : 4.1/5 (362 download)

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Book Synopsis Teaching Mathematics to English Language Learners by : Gladis Kersaint

Download or read book Teaching Mathematics to English Language Learners written by Gladis Kersaint and published by Routledge. This book was released on 2014-06-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today's mathematics classrooms increasingly include students for whom English is a second language. Teaching Mathematics to English Language Learners provides readers a comprehensive understanding of both the challenges that face English language learners (ELLs) and ways in which educators might address them in the secondary mathematics classroom. Framed by a research perspective, Teaching Mathematics to English Language Learners presents practical instructional strategies for engaging learners that can be incorporated as a regular part of instruction. The authors offer context-specific strategies for everything from facilitating classroom discussions with all students, to reading and interpreting math textbooks, to tackling word problems. A fully annotated list of math web and print resources completes the volume, making this a valuable reference to help mathematics teachers meet the challenges of including all learners in effective instruction. Features and updates to this new edition include: An updated and streamlined Part 1 provides an essential overview of ELL theory in a mathematics specific context. Additional practical examples of mathematics problems and exercises make turning theory into practice easy when teaching ELLs New pedagogical elements in Part 3 include tips on harnessing new technologies, discussion questions and reflection points. New coverage of the Common Core State Standards, as well as updates to the web and print resources in Part 4.

Understanding Emotions in Mathematical Thinking and Learning

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Publisher : Academic Press
ISBN 13 : 0128024895
Total Pages : 476 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Understanding Emotions in Mathematical Thinking and Learning by : Ulises Xolocotzin

Download or read book Understanding Emotions in Mathematical Thinking and Learning written by Ulises Xolocotzin and published by Academic Press. This book was released on 2017-05-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. - Covers methodologies in studying emotion in mathematical knowledge - Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition - Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches - Explores the role of anxiety in mathematical learning - Synthesizes unifies the work of multiple sub-disciplines in one place

Space, Time, Matter

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Space, Time, Matter by : Hermann Weyl

Download or read book Space, Time, Matter written by Hermann Weyl and published by . This book was released on 1922 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Knowing and Teaching Elementary Mathematics

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Author :
Publisher : Routledge
ISBN 13 : 1135149496
Total Pages : 290 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

EBOOK: Language for Learning Mathematics: Assessment for Learning in Practice

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Author :
Publisher : McGraw-Hill Education (UK)
ISBN 13 : 0335226140
Total Pages : 136 pages
Book Rating : 4.3/5 (352 download)

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Book Synopsis EBOOK: Language for Learning Mathematics: Assessment for Learning in Practice by : Clare Lee

Download or read book EBOOK: Language for Learning Mathematics: Assessment for Learning in Practice written by Clare Lee and published by McGraw-Hill Education (UK). This book was released on 2006-06-16 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assessment for learning is a powerful way to raise standards and improve learning. However, as this book shows, effective assessment for learning in the mathematics classroom depends on pupils being able and willing to use mathematical language to express their ideas. When discussion, negotiation and explanation are encouraged, teachers use assessment for learning creatively, the work quickly becomes more challenging and the pupils come to see themselves as successful learners. Many pupils find it difficult to express ideas in mathematics because of problems with the language that is used to convey mathematical concepts. This book shows teachers how to help pupils express what they really know and understand, so that assessment for learning can be used. The book: Discusses what mathematical language is, and what it is not Suggests practical approaches to introducing more discourse into the classroom Explores the ideas of assessment for learning – rich questioning and dialogue, effective feedback, and peer and self assessment – and suggests how these can be used effectively in mathematics classrooms to improve learning Language for Learning Mathematics is key reading for teachers and trainee teachers in mathematics, as well as assessment advisors at LAs.

Mathematics Education and Language

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Publisher : Springer Science & Business Media
ISBN 13 : 0792369696
Total Pages : 318 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Mathematics Education and Language by : Tony Brown

Download or read book Mathematics Education and Language written by Tony Brown and published by Springer Science & Business Media. This book was released on 2001-05-31 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary thinking on philosophy and the social sciences has primarily focused on the centrality of language in understanding societies and individuals; important developments which have been under-utilised by researchers in mathematics education. In this revised and extended edition this book reaches out to contemporary work in these broader fields, adding new material on how progression in mathematical learning might be variously understood. A new concluding chapter considers how teachers experience the new demands they face.

Speaking Mathematically

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Publisher : Taylor & Francis
ISBN 13 : 9780415037082
Total Pages : 217 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Speaking Mathematically by : David Pimm

Download or read book Speaking Mathematically written by David Pimm and published by Taylor & Francis. This book was released on 1987 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.

Mathematics as a Second Language

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Author :
Publisher : Addison Wesley Publishing Company
ISBN 13 : 9780201058857
Total Pages : 832 pages
Book Rating : 4.0/5 (588 download)

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Book Synopsis Mathematics as a Second Language by : Joseph Newmark

Download or read book Mathematics as a Second Language written by Joseph Newmark and published by Addison Wesley Publishing Company. This book was released on 1987 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Using Mathematics to Understand the World

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Author :
Publisher : Routledge
ISBN 13 : 9780367211707
Total Pages : 172 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Using Mathematics to Understand the World by : Terezinha Nunes

Download or read book Using Mathematics to Understand the World written by Terezinha Nunes and published by Routledge. This book was released on 2021 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Mathematics to Understand the World offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world.