Language Is Not Mathematics

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Language Is Not Mathematics

Author : Peter Hotton
Publisher : Independently Published
Page : 38 pages
File Size : 49,8 Mb
Release : 2018-11-04
Category : Language Arts & Disciplines
ISBN : 1730878253

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Language Is Not Mathematics by Peter Hotton Pdf

'Language is Not Mathematics' is a natural and easier way to understand and use the English verb. As language is, of course, used for both general and business purposes, to say what we mean, this course focuses on the thoughts of the speaker. Instead of following dozens of rules, you will, therefore, have to choose only one personal 'aspect' for each tense or other form of the verb to express your meaning in any particular situation. This approach is now being used in classrooms and companies around the world, enabling students and business employees to speak English more fluently and accurately.

The Language of Mathematics

Author : Robert L. Baber
Publisher : John Wiley & Sons
Page : 440 pages
File Size : 51,5 Mb
Release : 2011-09-09
Category : Mathematics
ISBN : 9781118061763

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The Language of Mathematics by Robert L. Baber Pdf

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.

The Language of Mathematics

Author : Bill Barton
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 42,6 Mb
Release : 2007-12-24
Category : Education
ISBN : 9780387728599

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The Language of Mathematics by Bill Barton Pdf

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 Problem with Math Is English

Author : Concepcion Molina
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 51,6 Mb
Release : 2012-09-06
Category : Education
ISBN : 9781118237021

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The Problem with Math Is English by Concepcion Molina Pdf

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.

The Language of Mathematics

Author : Keith Devlin
Publisher : Macmillan
Page : 372 pages
File Size : 41,9 Mb
Release : 2000-03-13
Category : Mathematics
ISBN : 0805072543

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The Language of Mathematics by Keith Devlin Pdf

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 Mathematics of Language

Author : Makoto Kanazawa,Marcus Kracht,Hiroyuki Seki,András Kornai
Publisher : Springer
Page : 227 pages
File Size : 47,5 Mb
Release : 2011-10-01
Category : Mathematics
ISBN : 9783642232114

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The Mathematics of Language by Makoto Kanazawa,Marcus Kracht,Hiroyuki Seki,András Kornai Pdf

This book constitutes the proceedings of the 12th Biennial Meeting on Mathematics in Language, MOL 12, held in Nara, Japan, in September 2011. Presented in this volume are 12 carefully selected papers, as well as the paper of the invited speaker Andreas Maletti. The papers cover such diverse topics as formal languages (string and tree transducers, grammar-independent syntactic structures, probabilistic and weighted context-free grammars, formalization of minimalist syntax), parsing and unification, lexical and compositional semantics, statistical language models, and theories of truth.

The Language of Mathematics

Author : Mohan Ganesalingam
Publisher : Springer
Page : 260 pages
File Size : 54,9 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783642370120

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The Language of Mathematics by Mohan Ganesalingam Pdf

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

Author : György E. Révész
Publisher : Courier Corporation
Page : 208 pages
File Size : 48,7 Mb
Release : 2015-03-17
Category : Mathematics
ISBN : 9780486169378

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Introduction to Formal Languages by György E. Révész Pdf

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.

Mathematics of Language

Author : Alexis Manaster-Ramer
Publisher : John Benjamins Publishing
Page : 401 pages
File Size : 46,6 Mb
Release : 1987-01-01
Category : Language Arts & Disciplines
ISBN : 9789027274427

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Mathematics of Language by Alexis Manaster-Ramer Pdf

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.

Math is Language Too

Author : Phyllis Whitin,David Jackman Whitin
Publisher : National Council of Teachers of English (Ncte)
Page : 124 pages
File Size : 50,9 Mb
Release : 2000
Category : Education
ISBN : UOM:39015059320351

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Math is Language Too by Phyllis Whitin,David Jackman Whitin Pdf

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.

Language and Communication in Mathematics Education

Author : Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte
Publisher : Springer
Page : 279 pages
File Size : 55,5 Mb
Release : 2018-03-27
Category : Education
ISBN : 9783319750552

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Language and Communication in Mathematics Education by Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte Pdf

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

Author : Marcel Danesi
Publisher : Walter de Gruyter GmbH & Co KG
Page : 344 pages
File Size : 48,7 Mb
Release : 2016-06-06
Category : Language Arts & Disciplines
ISBN : 9781614513186

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Language and Mathematics by Marcel Danesi Pdf

This book explores the many disciplinary and theoretical links between language, linguistics, and mathematics. It examines trends in linguistics, such as structuralism, conceptual metaphor theory, and other relevant theories,to show that language and mathematics have a similar structure, but differential functions, even though one without the other would not exist.

In Praise of Mathematics

Author : Alain Badiou
Publisher : John Wiley & Sons
Page : 144 pages
File Size : 42,5 Mb
Release : 2016-09-30
Category : Philosophy
ISBN : 9781509512065

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In Praise of Mathematics by Alain Badiou Pdf

Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it’s not worth an hour of trouble? What possible relationship can there be between mathematics and happiness? That is precisely the issue at stake in this dialogue, which serves as a very accessible introduction to what mathematics is and an exploration of the crucial influence it has always exerted on the greatest philosophers. Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

Classroom Research on Mathematics and Language

Author : Núria Planas,Candia Morgan,Marcus Schütte
Publisher : Routledge
Page : 232 pages
File Size : 42,9 Mb
Release : 2021-03-22
Category : Education
ISBN : 9780429536472

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Classroom Research on Mathematics and Language by Núria Planas,Candia Morgan,Marcus Schütte Pdf

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.

Collaborating to Meet Language Challenges in Indigenous Mathematics Classrooms

Author : Tamsin Meaney,Tony Trinick,Uenuku Fairhall
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 41,6 Mb
Release : 2011-10-03
Category : Education
ISBN : 9400719949

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Collaborating to Meet Language Challenges in Indigenous Mathematics Classrooms by Tamsin Meaney,Tony Trinick,Uenuku Fairhall Pdf

Language can be simultaneously both a support and a hindrance to students’ learning of mathematics. When students have sufficient fluency in the mathematics register so that they can discuss their ideas, they become chiefs who are able to think mathematically. However, learning the mathematics register of an Indigenous language is not a simple exercise and involves many challenges not only for students, but also for their teachers and the wider community. Collaborating to Meet Language Challenges in Indigenous Mathematics Classrooms identifies some of the challenges—political, mathematical, community based, and pedagogical— to the mathematics register, faced by an Indigenous school, in this case a Mäori immersion school. It also details the solutions created by the collaboration of teachers, researchers and community members.