Language And Mathematics


Language And Mathematics
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The Language Of Mathematics


The Language Of Mathematics
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Author : Bill Barton
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-24

The Language Of Mathematics written by Bill Barton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-24 with Education categories.


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.



Language In Mathematics


Language In Mathematics
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Author : Jennie Bickmore-Brand
language : en
Publisher:
Release Date : 1990

Language In Mathematics written by Jennie Bickmore-Brand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Language experience approach in education categories.


There is a movement across Australia to pay a closer look at how mathematics can be integrated with the language arts philosophy and curriculum. Teachers are using literature to teach mathematical concepts, and modelling mathematical processing on process writing techniques. However, some fear that these activities could have the effect of trivialising mathematics. This book collates the writings of the major voices in the field of language and mathematics teaching. These writers warn of the dangers of both the traditional approach to teaching mathematics, and of current trends, and seek to offer constructive ways to maximise the contribution that language can make in generating, comprehending and expressing mathematical ideas and mathematical knowledge.



Language In Mathematical Education


Language In Mathematical Education
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Author : Kevin Durkin
language : en
Publisher:
Release Date : 1991

Language In Mathematical Education written by Kevin Durkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.


Concerned with various aspects of language in mathematics education, this book aims to reveal some of the ambiguities and complexities in the way language is used in the mathematics curriculum. It aims to present current perspectives and review key issues in mathematics education.



The Language Of Mathematics


The Language Of Mathematics
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Author : Mohan Ganesalingam
language : en
Publisher: Springer
Release Date : 2013-03-14

The Language Of Mathematics written by Mohan Ganesalingam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.


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



The Language Of Mathematics


The Language Of Mathematics
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Author : Robert L. Baber
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09

The Language Of Mathematics written by Robert L. Baber and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.


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


Language And Communication In Mathematics Education
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Author : Judit N. Moschkovich
language : en
Publisher: Springer
Release Date : 2018-03-27

Language And Communication In Mathematics Education written by Judit N. Moschkovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-27 with Education categories.


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.



Language And Mathematics


Language And Mathematics
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Author :
language : en
Publisher:
Release Date : 1980

Language And Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.




Language Practices In School Mathematics


Language Practices In School Mathematics
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Author : Anne P. Chapman
language : en
Publisher:
Release Date : 2003

Language Practices In School Mathematics written by Anne P. Chapman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Language Arts & Disciplines categories.


With a view to contributing to understanding the nature and role of language in mathematics education, this book examines spoken language practices. The book demonstrates that learning mathematics is very much a matter of learning to speak 'properly.' There is a pervasive and continual requirement, often hidden in everyday classroom practices, to shift towards increasingly mathematical language. The outcomes of the research reported here affirm the value of viewing language and mathematics learning from a social semiotic perspective and help further our understandings about the construction of a social semiotic theory of classroom education, both in school mathematics and across the curriculum.



Mathematics Of Language


Mathematics Of Language
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Author : Alexis Manaster-Ramer
language : en
Publisher: John Benjamins Publishing
Release Date : 1987-01-01

Mathematics Of Language written by Alexis Manaster-Ramer and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Language Arts & Disciplines categories.


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.



Classroom Research On Mathematics And Language


Classroom Research On Mathematics And Language
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Author : Núria Planas
language : en
Publisher: Taylor & Francis
Release Date : 2021-03-22

Classroom Research On Mathematics And Language written by Núria Planas and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-22 with Education categories.


This book offers an international perspective on the current and future state of the research, focusing, in particular, on the role and use of language in mathematics school teaching and learning. It focuses on the development of a unified view of the languages of the learners, of the teachers and of mathematics by considering the role of language in the learning, teaching and doing of mathematics in the classroom, and the current richness and plurality of language and culture. The contributions in this volume combine to show how views of language and of language research in mathematics education have changed significantly in recent decades, and how they will continue to change and become even more complex and challenging in the era of diversity. All of these contributions by leading scholars are grouped into two sections for emphasis on issues of: • Theorising the complexity of language in mathematics teaching and learning • Opening spaces of learning with mathematics classroom research on language This book will be of great interest to mathematics teachers, teacher educators, curriculum developers and mathematics education researchers who deal with the study and implementation of pedagogies of mathematics teaching and learning, specifically in regions of the world which are culturally and sociolinguistically diverse.