The Language of Mathematics

Utilizing Math in Practice

Author: Robert L. Baber

Publisher: John Wiley & Sons

ISBN: 1118061764

Category: Mathematics

Page: 440

View: 7916


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.

Using Children’s Literature to Teach Problem Solving in Math

Addressing the Common Core in K–2

Author: Jeanne White

Publisher: Routledge

ISBN: 1317909232

Category: Education

Page: 110

View: 1468


Learn how to use children’s literature to engage students in mathematical problem solving. Teaching with children’s literature helps build a positive math environment, encourages students to think abstractly, shows students the real-world purposes of math, builds content-area literacy, and appeals to students with different learning styles and preferences. This practical book provides specific children’s book ideas and standards-based lessons that you can use to bring math alive in your own classroom. Special Features: Step-by-step ideas for using children’s literature to teach lessons based on the Common Core Standards for Mathematical Content in kindergarten, first, and second grade Scripting, modeling, and discussion prompts for each lesson Information on alignment to the Standards for Mathematical Practice and how to put them into student-friendly language Reference to a wide variety of specific children’s literature that can provide a context for young children learning to engage in the standards Differentiated activities for students who are early, developing, and advanced problem solvers

Teaching As A Reflective Practice

The German Didaktik Tradition

Author: Ian Westbury,Stefan Hopmann,Kurt Riquarts

Publisher: Routledge

ISBN: 1136601708

Category: Education

Page: 360

View: 1774


This volume presents a mix of translations of classical and modern papers from the German Didaktik tradition, newly prepared essays by German scholars and practitioners writing from within the tradition, and interpretive essays by U.S. scholars. It brings this tradition, which virtually dominated German curricular thought and teacher education until the 1960s when American curriculum theory entered Germany--and which is now experiencing a renaissance--to the English-speaking world, where it has been essentially unknown. The intent is to capture in one volume the core (at least) of the tradition of Didaktik and to communicate its potential relevance to English-language curricularists and teacher educators. It introduces a theoretical tradition which, although very different in almost every respect from those we know, offers a set of approaches that suggest ways of thinking about problems of reflection on curricular and teaching praxis (the core focus of the tradition) which the editors believe are accessible to North American readers--with appropriate "translation." These ways of thinking and related praxis are very relevant to notions such as reflective teaching and the discourse on teachers as professionals. By raising the possibility that the "new" tradition of Didaktik can be highly suggestive for thinking through issues related to a number of central ideas within contemporary discourse--and for exploring the implications of these ideas for both teacher education and for a curriculum theory appropriate to these new contexts for theorizing, this book opens up a gold mine of theoretical and practical possibilities.

The Sociology of Mathematics Education

Mathematical Myths, Pedagogic Texts

Author: Paul Dowling

Publisher: Psychology Press

ISBN: 9780750707923

Category: Education

Page: 335

View: 8125


Raises two important and related issues: the changing social aspects of math and the quality of math schemes and textbooks. Math is no longer a subject studies by intellectuals but has become a subject for study by all children aged 5 to 16 years. The continuing failure of many children in this subject is cause for concern. Dowling critically examines textbooks, and the part they play in children's learning. He clearly shows the reader how to analyze and evaluate textbooks they are currently using. This interrogation of classroom resources has important implications for teaching strategies and for textbook design and use.

Using the Standards - Number & Operations, Grade 2

Author: Becky Daniel

Publisher: Carson-Dellosa Publishing

ISBN: 1624421016

Category: Juvenile Nonfiction

Page: 128

View: 3069


Focusing entirely on Number and Operations, this book delves into three major content areas of the NCTM standards—Number Systems, Operations, and Computation. Students explore the relationships between numbers, the meaning of various operations and how they relate, and the techniques that make computation a breeze. Various formats of questions allow students to address one or more of the NCTM process strands on each page. The standards correlation chart and icons at the top of each page identify effective activities utilizing Problem Solving, Reasoning and Proof, Communication, Connections, and Representation. Skill checks and cumulative tests are included as well as vocabulary cards to help reinforce mathematical terms and symbols. Answer key provided

A Student's Guide to the Study, Practice, and Tools of Modern Mathematics

Author: Donald Bindner,Martin Erickson

Publisher: CRC Press

ISBN: 1439846073

Category: Mathematics

Page: 280

View: 7661


A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and MapleTM to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities. The first section of the book covers issues pertaining to studying mathematics. The authors explain how to write mathematical proofs and papers, how to perform mathematical research, and how to give mathematical presentations. The second section focuses on the use of mathematical tools for mathematical typesetting, generating data, finding patterns, and much more. The text describes how to compose a LaTeX file, give a presentation using Beamer, create mathematical diagrams, use computer algebra systems, and display ideas on a web page. The authors cover both popular commercial software programs and free and open source software, such as Linux and R. Showing how to use technology to understand mathematics, this guide supports students on their way to becoming professional mathematicians. For beginning mathematics students, it helps them study for tests and write papers. As time progresses, the book aids them in performing advanced activities, such as computer programming, typesetting, and research.

RTI and Math

The Classroom Connection: Estimates Considered, Logic Required, Data Imperative

Author: Karen A. Kemp,Mary Ann Eaton,Sharon Poole

Publisher: National Professional Resources Inc./Dude Publishing

ISBN: 1934032832

Category: Education

Page: 305

View: 4784


This comprehensive resource provides research-based techniques based on the early grade standards and and principles of mathematics as identified by the National Council of Teachers of Mathematics. Though provoking questions about student learning guide the teacher to the appropriate intervention. There are step by step procedures for implementation of each technique, along with measures to monitor students' progress. Reproducible forms allow for easy management and data collection, making this a valuable resource for every classroom. This book specifically addresses the fundamentals of math including the number system, computation, problem solving and the all important language and vocabulary of math. The important topic of motivation is also included.

Good Practice in Implementing the Pre-School Curriculum

Author: Sally Neaum,Jill Tallack

Publisher: Nelson Thornes

ISBN: 9780748755530

Category: Education

Page: 216

View: 1263


Good Practice in Implementing the Pre-school Curriculum, Second Edition is the leading early years curriculum text. Updated throughout to reflect QCA's new framework for early learning, it is the essntial guide for students and nursery managers.

Speaking Mathematically

Communication in Mathematics Classrooms

Author: David Pimm

Publisher: Taylor & Francis

ISBN: 9780415037082

Category: Communication in education

Page: 217

View: 2366


This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.