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Author: Robert L. Baber Publisher: John Wiley & Sons ISBN: 1118061764 Category : Mathematics Languages : en Pages : 350
Book Description
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.
Author: Robert L. Baber Publisher: John Wiley & Sons ISBN: 1118061764 Category : Mathematics Languages : en Pages : 350
Book Description
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.
Author: Keith Devlin Publisher: Macmillan ISBN: 9780805072549 Category : Mathematics Languages : en Pages : 372
Book Description
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.
Author: Mohan Ganesalingam Publisher: Springer ISBN: 3642370128 Category : Computers Languages : en Pages : 260
Book Description
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
Author: Phyllis Whitin Publisher: National Council of Teachers of English (Ncte) ISBN: Category : Education Languages : en Pages : 124
Book Description
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.
Author: Marilyn M. Toomey Publisher: ISBN: 9780923573232 Category : Mathematics Languages : en Pages : 135
Book Description
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.
Author: Concepcion Molina Publisher: John Wiley & Sons ISBN: 1118237021 Category : Education Languages : en Pages : 304
Book Description
Teaching K-12 math becomes an easier task when everyoneunderstands the language, symbolism, and representation of mathconcepts Published in partnership with SEDL, The Problem with Math IsEnglish illustrates how students often understand fundamentalmathematical concepts at a superficial level. Written to inspire?aha? moments, this book enables teachers to help students identifyand comprehend the nuances and true meaning of math concepts byexploring 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 waythat will improve how all students, and especially English languagelearners, understand math Emphasizes major attributes of conceptual understanding inmathematics, 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 byillustrating how a deeper knowledge of math concepts can bedeveloped in all students through a focus on language andsymbolism.
Author: Judit N. Moschkovich Publisher: Springer ISBN: 3319750550 Category : Education Languages : en Pages : 279
Book Description
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.
Author: Kathryn B. Chval Publisher: Corwin ISBN: 1071810812 Category : Education Languages : en Pages : 249
Book Description
Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Author: Sandra L. Atkins Publisher: Routledge ISBN: 131742509X Category : Education Languages : en Pages : 136
Book Description
What meanings do your students have for key mathematics concepts? What meanings do you wish them to have? Creating a Language-Rich Math Class offers practical approaches for developing conceptual understandings by connecting concrete, pictorial, verbal, and symbolic representations. The focus is on making mathematics memorable instead of on memorizing. You’ll learn strategies for introducing students to math language that gives meaning to the terms and symbols they use everyday; for building flexibility and precision in students’ use of math language; and for structuring activities to make them more language-rich. Book Features: Detailed directions for sample games and activities for immediate classroom use; Investigations to Try and Questions for Reflection to assist in implementing these ideas into your practice; Graphic organizer for helping students first understand, solve, and defend their solutions to word problems; Blackline masters of game cards and puzzles (also available at http://www.routledge.com/books/details/9781138916296/)
Author: Warren W. Esty Publisher: Pearson ISBN: 9780536083586 Category : Algebra Languages : en Pages : 0
Book Description
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.
Author: Robert L. Baber
Author: Robert L. Baber
Author: Keith Devlin
Author: Mohan Ganesalingam
Author: Phyllis Whitin
Author: Marilyn M. Toomey
Author: Concepcion Molina
Author: Judit N. Moschkovich
Author: Kathryn B. Chval
Author: Sandra L. Atkins
Author: Warren W. Esty