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.
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.
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:
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.
Download or read book The Language of the Universe written by Colin Stuart and published by Big Picture Press. This book was released on 2020-10-20 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to present mathematics in a new, approachable way, this book explores the history and application of math in the natural world. With incredible artwork from Ximo Abadía, the reader can visualize atoms, explore the geometric complexity of beehives, and wonder at the movement of the planets. With engaging, easy-to-understand text by acclaimed science writer Colin Stuart, this title will truly captivate and inspire.
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.
Download or read book Academic Language in Diverse Classrooms Mathematics Grades K 2 written by Margo Gottlieb and published by Corwin Press. This book was released on 2013-02-27 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make every student fluent in the language of learning. The Common Core and ELD standards provide pathways to academic success through academic language. Using an integrated Curricular Framework, districts, schools and professional learning communities can: Design and implement thematic units for learning Draw from content and language standards to set targets for all students Examine standards-centered materials for academic language Collaborate in planning instruction and assessment within and across lessons Consider linguistic and cultural resources of the students Create differentiated content and language objectives Delve deeply into instructional strategies involving academic language Reflect on teaching and learning
Download or read book Academic Language in Diverse Classrooms Mathematics Grades 6 8 written by Margo Gottlieb and published by Corwin Press. This book was released on 2013-05-01 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help your students unlock important mathematical concepts! If you’ve ever watched a student struggle with learning math concepts, you know that academic English can sometimes create stumbling blocks to understanding. To grasp complicated concepts, build skills, and demonstrate achievement, students need to master academic language in math. The Common Core and ELD standards provide pathways to academic success through academic language. Using an integrated Curricular Framework, districts, schools and professional learning communities can: Design and implement thematic units for learning Draw from content and language standards to set targets for all students Examine standards-centered materials for academic language Collaborate in planning instruction and assessment within and across lessons Consider linguistic and cultural resources of the students Create differentiated content and language objectives Delve deeply into instructional strategies involving academic language Reflect on teaching and learning Each grade-specific chapter models the types of interactions and learning experiences that help students master both math content and academic language. This essential book shows you why mastery of academic language is the key to students’ academic success. "With growing numbers of English Language Learners in our classrooms, teachers need to be able to help students as they learn academic vocabulary and concepts. This series offers teachers a practical support, complete with abundant rubrics and detailed plans for teaching math vocabulary!" —Renee Peoples, Teacher Swain County Schools, Bryson City, NC
Download or read book Academic Language in Diverse Classrooms Mathematics Grades 3 5 written by Margo Gottlieb and published by Corwin Press. This book was released on 2013-02-27 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make every student fluent in the language of learning. The Common Core and ELD standards provide pathways to academic success through academic language. Using an integrated Curricular Framework, districts, schools and professional learning communities can: Design and implement thematic units for learning Draw from content and language standards to set targets for all students Examine standards-centered materials for academic language Collaborate in planning instruction and assessment within and across lessons Consider linguistic and cultural resources of the students Create differentiated content and language objectives Delve deeply into instructional strategies involving academic language Reflect on teaching and learning
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.
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
Download or read book Einstein s Heroes written by Robyn Arianrhod and published by Oxford University Press. This book was released on 2006 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blending science, history, and biography, this book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and James Clerk Maxwell.
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 280 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.
Download or read book Sports Mathematics written by Reza Noubary and published by Xlibris Corporation. This book was released on 2020-12-07 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sports and Mathematics The universal popularity of sports has inspired a goldmine of interesting examples for mathematicians, sport fans, and for the teaching and learning. Sports provide an inexhaustible source of fascinating and challenging problems. Today most sports can be studied from a mathematical perspective to valid quantitative results. Mathematical methods are applied to estimate an athlete's chances of success, identify the best training conditions, and to measure their effectiveness. Applied probability and statistics has been instrumental in analysis of vast amount of sport data available. Probabilistic Monte Carlo method are used for simulation model. In fact, it is generally recognized that the use of sports marks an exciting new direction in teaching and learning mathematics and related subjects. With the present state of education, ideas that connect mathematics to popular activities like sports is much needed. The goal of this book is to find a way to delight sport lovers about mathematics and mathematicians about sports to help them to see their connections. Its hope is to bring a variety of applications within the reach of sport fans with some mathematics background or interests.
Download or read book Mathematics written by Alexandru Buium and published by CRC Press. This book was released on 2013-11-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics from scratch using essentially no background except natural language. He also carefully avoids circularities that are often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory. The first part of the text focuses on pre-mathematical logic, including syntax, semantics, and inference. The author develops these topics entirely outside the mathematical paradigm. In the second part, the discussion of mathematics starts with axiomatic set theory and ends with advanced topics, such as the geometry of cubics, real and p-adic analysis, and the quadratic reciprocity law. The final part covers mathematical logic and offers a brief introduction to model theory and incompleteness. Taking a formalist approach to the subject, this text shows students how to reconstruct mathematics from language itself. It helps them understand the mathematical discourse needed to advance in the field.
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:
Download or read book Classroom Research on Mathematics and Language written by Núria Planas and published by Taylor & Francis. This book was released on 2021-03-22 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
