The Math Explorer
The Math Explorer

Author: Jefferson Hane Weaver

Publisher: Prometheus Books

Published: 2010-06-02

Total Pages: 288

ISBN-13: 1615926542

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This stress-free layperson's introduction to the intriguing world of numbers is designed to acquaint the general reader with the elegance and wonder of mathematics. Unlike the typical boot-camp experience of a high school or college calculus course, Jefferson Hane Weaver's approach is more like a relaxing and educational walking tour. Along the way, tour-guide Weaver points out, explains, and invites readers to sample some of the most interesting topics. Even the most math-phobic among us will be lulled into appreciation by Weaver's creative and disarming discussions of this supposedly formidable intellectual discipline. He covers all the basics: irrational and imaginary numbers, algebra, geometry, trigonometry, differential and integral calculus, the concepts of zero and infinity, vectors, set theory, chance and probability, and much more. In conclusion, he provides five fascinating historical profiles, reviewing the life and work of Copernicus, Descartes, Kepler, Galileo, and Newton. More than anyone else, these five geniuses were responsible for creating the mathematical foundations of the physical sciences, which continue to make possible extraordinary discoveries and technological achievements. This enjoyable volume gives readers a working knowledge of math's most important concepts, an appreciation of its elegant logical structure, and an understanding of its historical significance in creating our contemporary world.

Fostering Children's Mathematical Power
Fostering Children's Mathematical Power

Author: Arthur J. Baroody

Publisher: Routledge

Published: 1998-09-01

Total Pages: 621

ISBN-13: 1135674051

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Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics.

Teaching Secondary Mathematics
Teaching Secondary Mathematics

Author: David Rock

Publisher: Taylor & Francis

Published: 2024-02-15

Total Pages: 580

ISBN-13: 1003830048

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Solidly grounded in up-to-date research, theory, and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fifth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and a comprehensive Instructor and Student Resource website offers expanded discussion of chapter topics, additional examples, and technological tips, such as using and assessing artificial intelligence. Each chapter features tried-and-tested pedagogical techniques, problem-solving challenges, discussion points, activities, mathematical challenges, and student-life-based applications that will encourage students to think and do. New to the fifth edition: A fully revised chapter on technological advancements in the teaching of mathematics, including the use of artificial intelligence A new chapter on equity, shame, and anxiety in the mathematics classroom Connections to both the updated National Council of Teachers of Mathematics (NCTM) Focal Points and Standards Problem-solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions A fresh interior design to better highlight pedagogical elements and key features A completely updated Instructor and Student Resource site with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, exercises, and helpful links and resources.

Mathematics Assessment and Evaluation
Mathematics Assessment and Evaluation

Author: Thomas A. Romberg

Publisher: State University of New York Press

Published: 1992-07-01

Total Pages: 382

ISBN-13: 1438417640

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Are current testing practices consistent with the goals of the reform movement in school mathematics? If not, what are the alternatives? How can authentic performance in mathematics be assessed? These and similar questions about tests and their uses have forced those advocating change to examine the way in which mathematical performance data is gathered and used in American schools. This book provides recent views on the issues surrounding mathematics tests, such as the need for valid performance data, the implications of the Curriculum and Evaluation Standards for School Mathematics for test development, the identification of valid items and tests in terms of the Standards, the procedures now being used to construct a sample of state assessment tests, gender differences in test taking, and methods of reporting student achievement.

Key Concepts in Mathematics
Key Concepts in Mathematics

Author: Timothy J. McNamara

Publisher: Corwin Press

Published: 2007

Total Pages: 265

ISBN-13: 1412938422

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"Includes a large number of user-friendly examples that integrate mathematics content and process standards. The step-by-step guidance and explanations in each chapter are beneficial."-Melissa Miller, TeacherRandall G. Lynch Middle School, Farmington, AR "Great activities that are exploratory in nature. A valuable resource."-Carol Amos, Teacher Leader and Mathematics CoordinatorTwinfield Union School, Plainfield, VT Increase students' mathematics achievement with rich problem-solving lessons and activities that are aligned with NCTM standards! Helping teachers envision how math standards can be integrated into the secondary classroom, Key Concepts in Mathematics, Second Edition presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM standards, with many activities that address multiple standards, and numerous practical suggestions for extending the lessons beyond the curriculum. In addition, this updated resource combines standards-based mathematics and technology by incorporating TI-73 Explorer(tm) and TI-83 Plus graphing calculator applications and programs. Each chapter offers: Ready-to-use lessons, hands-on activities, practical suggestions, and an abundance of "good problems" Suggestions for integrating multiple topics and concepts in each lesson Strategies to strengthen student engagement, understanding, and retention by building connections among mathematics topics This exciting guide delivers exactly what is needed for today's standards-based math classroom!

How To Reach And Teach Children with ADD / ADHD
How To Reach And Teach Children with ADD / ADHD

Author: Sandra F. Rief

Publisher: John Wiley & Sons

Published: 2012-06-26

Total Pages: 498

ISBN-13: 1118429397

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Sandra Rief offers myriad real-life case studies, interviews, and student intervention plans for children with ADD/ADHD. In addition, the book contains best teaching practices and countless strategies for enhancing classroom performance for all types of students. This invaluable resource offers proven suggestions for: Engaging students' attention and active participation Keeping students on-task and productive Preventing and managing behavioral problems in the classroom Differentiating instruction and addressing students' diverse learning styles Building a partnership with parents and much more.

Guide to Math Materials
Guide to Math Materials

Author: Phyllis J. Perry

Publisher: Bloomsbury Publishing USA

Published: 1997-02-15

Total Pages: 144

ISBN-13: 0313079722

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Now it's easy to locate the materials you need to implement the new NCTM math standards. Organized by such math topics as problem solving, estimation, number sense and numeration, and geometry and spatial relationships, this book shows users where to find manipulatives and materials, such as attribute blocks, pattern blocks, clocks, scales, multilink cubes and prisms, calculators, and sorting toys. It also lists specialized math books, computer software, and a host of other learning materials (e.g., activity cards, puzzles, posters, games, reproducibles). The author briefly describes each product, cites grade level when given, and explains possible applications. Products of exceptional quality and value are highlighted, and the addresses of publishers and suppliers are given. A real time-saver! Grades K-4.