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 : 66. 12 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 : 26. 81 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 : 67. 15 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 : 46. 66 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.

Teaching Numeracy

Author : Margie Pearse
ISBN : 9781452238852
Genre : Education
File Size : 67. 55 MB
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Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Everything You Need For Mathematics Coaching

Author : Maggie B. McGatha
ISBN : 9781544316994
Genre : Education
File Size : 86. 74 MB
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Plan, focus, and lead: Your toolkit for inspiring math teachers What’s your go-to resource for guiding teachers to grow mathematics proficiency in their classrooms? This comprehensive toolkit for busy math coaches positions student learning as the focus of all work, and connects the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to deliver coaching strategies that work. Use the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers. Navigate coaching conversations. Plan, focus, and facilitate professional learning communities. Includes examples from the field, resources, and a plethora of tools to download and share. Create a professional learning plan that empowers you to lead with clarity and purpose.

Teaching First Grade Math

Author : Laura Hunovice
ISBN : 0325078254
Genre : First grade (Education)
File Size : 20. 61 MB
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Discrete Mathematics Using A Computer

Author : Cordelia Hall
ISBN : 9781447136576
Genre : Mathematics
File Size : 58. 89 MB
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Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.

Maths For Science

Author : Sally Jordan
ISBN : 0199644969
Genre : Science
File Size : 75. 31 MB
Format : PDF
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Maths for Science overturns the misconception that maths is a daunting, theory-filled subject by providing a confidence-boosting overview of essential mathematical skills and techniques. Written in a clear, straightforward style, with examples and practice problems throughout, it is the ideal guide for all science students.

Teaching Fourth Grade Math

Author : Kay B. Sammons
ISBN : 0325078289
Genre : Fourth grade (Education)
File Size : 90. 86 MB
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