the language of mathematics utilizing math in practice

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The Language Of Mathematics

Author : Robert L. Baber
ISBN : 9781118061763
Genre : Mathematics
File Size : 52. 28 MB
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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 For Learning Mathematics Assessment For Learning In Practice

Author : Lee, Clare
ISBN : 9780335219889
Genre : Education
File Size : 78. 3 MB
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This text delivers practical strategies for bringing more discourse into lesson plans, and provides teachers with a way to raise standards in the classroom.

The Problem With Math Is English

Author : Concepcion Molina
ISBN : 9781118237021
Genre : Education
File Size : 81. 64 MB
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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.

Putting The Practices Into Action

Author : Susan O'Connell
ISBN : 0325046557
Genre : Education
File Size : 25. 30 MB
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The Standards for Mathematical Practice promise to elevate students' learning of math from knowledge to application and bring rigor to math classrooms. Here, the authors unpack each of the eight Practices and provide a wealth of practical ideas and activities to help teachers quickly integrate them into their existing math program.

Mathematics For The Nonmathematician

Author : Morris Kline
ISBN : 9780486316130
Genre : Mathematics
File Size : 49. 41 MB
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Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

Classroom Discussions

Author : Suzanne H. Chapin
ISBN : 9781935099017
Genre : Mathematics
File Size : 32. 18 MB
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This best seller offers an unparalleled look at the significant role that classroom discussions can play in teaching mathematics and deepening students’ mathematical understanding. Based on a four-year research project funded by the U.S. Department of Education, the second edition includes more examples of classroom talk focusing on pre-algebra and early grade levels; an expanded range of vignettes; chapter-ending discussion questions for book study groups; connections to NCTM’s Principles and Standards for School Mathematics; and an index of every mathematical and Standards for School Mathematics; and an index of every mathematical example used, classified by grade level and mathematical emphasis.

Using Children S Literature To Teach Problem Solving In Math

Author : Jeanne White
ISBN : 9781317909231
Genre : Education
File Size : 60. 84 MB
Format : PDF
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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

The Language Of Mathematics

Author : Bill Barton
ISBN : 9780387728599
Genre : Education
File Size : 48. 60 MB
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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.

Discrete Mathematics Using A Computer

Author : John O'Donnell
ISBN : 9781846285981
Genre : Computers
File Size : 40. 80 MB
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Computer science abounds with applications of discrete mathematics, yet s- dents of computer science often study discrete mathematics in the context of purely mathematical applications. They have to ?gure out for themselves how to apply the ideas of discrete mathematics to computing problems. It is not easy. Most students fail to experience broad success in this enterprise, which is not surprising, since many of the most important advances in science and engineeringhavebeen, precisely, applicationsofmathematicstospeci?cscience and engineering problems. Tobesure,mostdiscretemathtextbooksincorporatesomeaspectsapplying discrete math to computing, but it usually takes the form of asking students to write programs to compute the number of three-ball combinations there are in a set of ten balls or, at best, to implement a graph algorithm. Few texts ask students to use mathematical logic to analyze properties of digital circuits or computer programs or to apply the set theoretic model of functions to understand higher-order operations. A major aim of this text is to integrate, tightly, the study of discrete mathematics with the study of central problems of computer science.

Maths In Practice

Author : David Bowles
ISBN : 0340948582
Genre : Juvenile Nonfiction
File Size : 41. 20 MB
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Maths in Practice provides complete coverage of the revised Key Stage 3 programme of study in mathematics.

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