The Math Instinct

The Math Instinct PDF Author: Keith Devlin
Publisher: Basic Books
ISBN: 0786736186
Category : Science
Languages : en
Pages : 166

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Book Description
There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh corgis -- and us -- is innate. What innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. But if we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math"? The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy" -- The Math Instinct will provide even the most number-phobic among us with confidence in our own mathematical abilities.

Math Instinct

Math Instinct PDF Author: Keith J. Devlin
Publisher: Turtleback Books
ISBN: 9781417780655
Category : Mathematics
Languages : en
Pages :

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Book Description
National Public Radio's "Math Guy" explains why humans possess a remarkable capacity for "natural" math while offering words of confidence for the multitudes who are afraid of math.

Bad at Math?

Bad at Math? PDF Author: Lidia Gonzalez
Publisher: Corwin Press
ISBN: 1071907492
Category : Education
Languages : en
Pages : 153

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Book Description
Math really is for everyone—so let’s prove it. You’ve heard it from kids, from friends, and from celebrities: "I’m bad at math." It’s a line that society tends to accept without examination—after all, some people just aren’t "math people," right? Wrong. As we do with other essential skills, we need to expose the stereotypes, challenge the negative mindsets, and finally confront the systemic opportunity gaps in math education, and replace them with a new vision for what math is, who it’s for, and who can excel at it. In this book you’ll find Research on teacher and student mindsets and their effect on student achievement Audience-specific and differentiated tools, reflection questions, and suggested actions for educators at all levels of the system Examples from popular media, as well as personal stories and anecdotes Quotes, data-driven figures, and suggestions for deeper learning on all aspects of a positive and equitable vision of math education Both social commentary and a toolkit of solutions, this bold new book directly challenges the constructs that have historically dictated our perceptions of what makes someone a "math person". Only by dismantling those misplaced assumptions can we reform math education so it works for everyone. Because in truth, we are all math people.

The Handy Math Answer Book

The Handy Math Answer Book PDF Author: Patricia Barnes-Svarney
Publisher: Visible Ink Press
ISBN: 1578593883
Category : Mathematics
Languages : en
Pages : 529

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Book Description
From Sudoku to Quantum Mechanics, Unraveling the Mysteries of Mathematics! What's the formula for changing intimidation to exhilaration? When it comes to math, it's The Handy Math Answer Book! From a history dating back to prehistoric times and ancient Greece to how we use math in our everyday lives, this fascinating and informative guide addresses the basics of algebra, calculus, geometry, and trigonometry, and then proceeds to practical applications. You'll find easy-to-follow explanations of how math is used in daily financial and market reports, weather forecasts, real estate valuations, games, and measurements of all kinds. In an engaging question-and-answer format, more than 1,000 everyday math questions and concepts are tackled and explained, including ... What are a googol and a googolplex? What are some of the basic “building blocks” of geometry? What is a percent? How do you multiply fractions? What are some of the mathematics behind global warming? What does the philosophy of mathematics mean? What is a computer“app”? What's the difference between wet and dry measurements when you're cooking? How often are political polls wrong? How do you figure out a handicap in golf and bowling? How does the adult brain process fractions? And many, many more! For parents, teachers, students, and anyone seeking additional guidance and clarity on their mathematical quest, The Handy Math Answer Book is the perfect guide to understanding the world of numbers bridging the gap between left- and right-brained thinking. Appendices on Measurements and Conversion Factors plus Common Formulas for Calculating Areas and Volumes of shapes are also included. Its helpful bibliography and extensive index add to its usefulness.

Math Exchanges

Math Exchanges PDF Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Category : Education
Languages : en
Pages : 216

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Book Description
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?

Interdisciplinary Perspectives on Math Cognition

Interdisciplinary Perspectives on Math Cognition PDF Author: Marcel Danesi
Publisher: Springer Nature
ISBN: 3030225372
Category : Mathematics
Languages : en
Pages : 344

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Book Description
This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.

Strategies for Implementing Guided Math

Strategies for Implementing Guided Math PDF Author: Sammons, Laney
Publisher: Shell Education
ISBN: 1618139150
Category : Education
Languages : en
Pages : 356

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Book Description
In this resource, Laney Sammons, author of Guided Math, delves into the strategies necessary to effectively implement the Guided Math Framework. It provides specific strategies for implementing the seven elements of the Guided Math Framework. In addition, this 344-page professional resource includes a Teacher Resource CD, sample lessons, activities, and classroom snapshots of strategy implementation at three grade level spans: K-2, 3-5, and 6-8. Strategies for Implementing Guided Math is correlated to the Common Core State Standards and aligned to the interdisciplinary themes from the Partnership for 21st Century Skills. 304pp.

Guided Math: A Framework for Mathematics Instruction Second Edition

Guided Math: A Framework for Mathematics Instruction Second Edition PDF Author: Laney Sammons
Publisher: Teacher Created Materials
ISBN: 1642903760
Category : Mathematics
Languages : en
Pages : 378

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Book Description
This instructional math framework provides an environment for mathematics that fosters mathematical thinking and understanding while meeting the needs of all students. This updated math resource takes an innovative approach to mathematics instruction and uses the same teaching philosophies for guided reading. Educators will learn how to effectively utilize small-group and whole-group instruction, manipulatives, math warm-ups, and Math Workshop to engage K-12 students in connecting mathematics to their own lives. Maximize the impact of your instruction with ideas for using ongoing assessment and differentiation strategies. This 2nd edition guided math resource written by Laney Sammons provides practical guidance and sample lessons for grade level bands K-2, 3-5, 6-8, and 9-12. Promote a classroom environment of numeracy and mathematical discourse with this essential professional resource for K-12 math teachers!

How Children Learn Math

How Children Learn Math PDF Author: Nancy Krasa
Publisher: Taylor & Francis
ISBN: 1000655768
Category : Education
Languages : en
Pages : 415

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Book Description
Written for pre-service and in-service educators, as well as parents of children in preschool through grade five, this book connects research in cognitive development and math education to offer an accessibly written and practical introduction to the science of elementary math learning. Structured according to children’s mathematical development, How Children Learn Math systematically reviews and synthesizes the latest developmental research on mathematical cognition into accessible sections that explain both the scientific evidence available and its practical classroom application. Written by an author team with decades of collective experience in cognitive learning research, clinical learning evaluations, and classroom experience working with both teachers and children, this amply illustrated text offers a powerful resource for understanding children’s mathematical development, from quantitative intuition to word problems, and helps readers understand and identify math learning difficulties that may emerge in later grades. Aimed at pre-service and in-service teachers and educators with little background in cognitive development, the book distills important findings in cognitive development into clear, accessible language and practical suggestions. The book therefore serves as an ideal text for pre-service early childhood, elementary, and special education teachers, as well as early career researchers, or as a professional development resource for in-service teachers, supervisors and administrators, school psychologists, homeschool parents, and other educators.

Learning and Teaching Mathematics in The Global Village

Learning and Teaching Mathematics in The Global Village PDF Author: Marcel Danesi
Publisher: Springer
ISBN: 331932280X
Category : Education
Languages : en
Pages : 193

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Book Description
This book provides a fundamental reassessment of mathematics education in the digital era. It constitutes a new mindset of how information and knowledge are processed by introducing new interconnective and interactive pedagogical approaches. Math education is catching up on technology, as courses and materials use digital sources and resources more and more. The time has come to evaluate this new dynamic, which transcends all previous use of ancillary devices to supplement classroom math instruction. Interactivity and interconnectivity with the online world of math and math texts (such as television programs and internet sites) can be integrated with our traditional modes for delivery of math instruction. This book looks at how this integration can unfold practically by applying these relevant pedagogical principles to elementary topics such as numeration, arithmetic, algebra, story problems, combinatorics, and basic probability theory. The book further exemplifies how mathematics can be connected to topics in popular culture, information technologies, and other such domains.