## Similar

Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.

Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.

Also available as an eBook

The PWN the SAT Math Guide was created to help ambitious, highly motivated kids maximize their SAT math scores. Do you crave a higher score? Are you willing to do a little hard work to achieve it? Good. I knew I liked you.

Read this book from beginning to end, with a pencil in hand and a calculator and an Official SAT Study Guide by your side. When you’re done, you’ll be able to approach the SAT with confidence—very few questions will surprise you, and even fewer will be able to withstand your withering attacks.

Stand tall, intrepid student. Destiny awaits.

Updated for the New SAT

This new edition of the Math Guide has been updated, rather painstakingly, to reflect the realities of the new SAT coming March 2016. This book was not rushed to market to take advantage of interest in the new exam. I took my time, and hopefully I got it right.

Chapters are broken into five major sections: Techniques, Heart of Algebra, Passport to Advanced Math, Problem Solving and Data Analysis, and Additional Topics in Math. Each chapter concludes with a reference list of similar questions from official practice tests.

Practice questions are designated as either “Calculator” or “No calculator.” Students will be forbidden from using their calculators for one whole section of the new SAT.

Emphasis is placed on nimbleness—the ability to approach problems in multiple ways to find the one that works best. Calculator solutions and shortcuts are provided where appropriate.

Join me online

Readers of this book are encouraged to register as Math Guide Owners at the PWN the SAT website. There will be video solutions and other bonus content there. Signing up there will also give me a way to get in touch with you if I make book updates. See details at http://mathguide.pwnthesat.com.

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets:

Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understandingScores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards.

This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies.

Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real lifeThis practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets:

Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understandingScores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Hollywood actress and math whiz Danica McKellar has completely shattered the “math nerd” stereotype. For years, she’s been showing girls how to feel confident and ace their math classes – with style! With Girls Get Curves, she applies her winning techniques to high school geometry, giving readers the tools they need to feel great and totally “get” everything from congruent triangles to theorems, and more. Inside you’ll find:

· Time-saving tips and tricks for homework and tests

· Illuminating practice problems (and proofs!) with detailed solutions

· Totally relatable real-world examples

· True stories from Danica’s own life as an actress and math student

· A Troubleshooting Guide, for getting unstuck during even the trickiest proofs!

With Danica as a coach, girls everywhere can stop hiding from their homework and watch their scores rise!

The Common Core Connections series provides teachers with a skill assessment and analysis to help determine individualized instruction needs. Focused, comprehensive practice pages and self-assessments guide students to reflection and exploration for deeper learning! Standards correlations are printed on each page to make planning and documentation simple. This series is an ideal resource for differentiation and remediation. Each 96-page book includes a skill assessment, assessment analysis, Common Core State Standards Alignment Matrix, and answer key.

A critical read for teachers and parents who want to improve children’s mathematics learning, What’s Math Got to Do with It? is “an inspiring resource” (Publishers Weekly). Featuring all the important advice and suggestions in the original edition of What’s Math Got to Do with It?, this revised edition is now updated with new research on the brain and mathematics that is revolutionizing scientists’ understanding of learning and potential.

As always Jo Boaler presents research findings through practical ideas that can be used in classrooms and homes. The new What’s Math Got to Do with It? prepares teachers and parents for the Common Core, shares Boaler’s work on ways to teach mathematics for a “growth mindset,” and includes a range of advice to inspire teachers and parents to give their students the best mathematical experience possible.

Along the way, you’ll discover new ways to explore math and gain valuable programming skills that you’ll use throughout your study of math and computer science. Learn how to:

-Describe your data with statistics, and visualize it with line graphs, bar charts, and scatter plots

-Explore set theory and probability with programs for coin flips, dicing, and other games of chance

-Solve algebra problems using Python’s symbolic math functions

-Draw geometric shapes and explore fractals like the Barnsley fern, the Sierpinski triangle, and the Mandelbrot set

-Write programs to find derivatives and integrate functions

Creative coding challenges and applied examples help you see how you can put your new math and coding skills into practice. You’ll write an inequality solver, plot gravity’s effect on how far a bullet will travel, shuffle a deck of cards, estimate the area of a circle by throwing 100,000 “darts” at a board, explore the relationship between the Fibonacci sequence and the golden ratio, and more.

Whether you’re interested in math but have yet to dip into programming or you’re a teacher looking to bring programming into the classroom, you’ll find that Python makes programming easy and practical. Let Python handle the grunt work while you focus on the math.

Understanding precalculus often opens the door to learning more advanced and practical math subjects, and can also help satisfy college requisites. Precalculus Demystified, Second Edition, is your key to mastering this sometimes tricky subject.

This self-teaching guide presents general precalculus concepts first, so you'll ease into the basics. You'll gradually master functions, graphs of functions, logarithms, exponents, and more. As you progress, you'll also conquer topics such as absolute value, nonlinear inequalities, inverses, trigonometric functions, and conic sections. Clear, detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.

It's a no-brainer! You'll learn about:

Linear questions Functions Polynomial division The rational zero theorem Logarithms Matrix arithmetic Basic trigonometrySimple enough for a beginner but challenging enough for an advanced student, Precalculus Demystified, Second Edition, Second Edition, helps you master this essential subject.

“Marian Small’s second edition of Good Questions will be greatly celebrated by this educator. . . . I have shared the book with mathematics teachers across the United States and Canada, and all agree that it is solidly built on best practices in mathematics and is an amazing resource for teachers.”

—From the Foreword by Diane Heacox

Icons that identify concepts outlined in the Common Core State Standards. Many new examples with almost 300 questions and tasks that teachers and coaches can adopt or use as models to create their own.Teaching Tips sidebars.A template at the end of each chapter to help readers build new tasks and open questions.Guidance for creating a more inclusive classroom learning community with mathematical talk that engages participants from all levels.

Praise for the First Edition!

“A must for any educator who is serious about reaching more students more often and achieving more positive results.”

—Resources for the Mathematics Educator

“This is a valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction.”

—Choice

“This book is a great resource, with realistic applications to current instruction and tips for creating solid math discourse with your students.”

—Mathematics: Teaching in the Middle School

“The glossary is a great resource for math language, and the index of big ideas provides a snapshot of focus points…I highly recommend this user-friendly resource for all mathematics teachers.”

—Teaching Children Mathematics

“User-friendly teaching examples of questions and tasks will enable teachers to empower learners on all levels, and the tasks are presented with real-world scenarios that students will relate to as intriguing challenges.”

—Carolyn Chapman, Creative Learning Connections, Inc., and Rita King, King Learning Associates

Whether you're new to functions, analytic geometry, and matrices or just brushing up on those topics, CliffsQuickReview Precalculus can help. This guide introduces each topic, defines key terms, and walks you through each sample problem step-by-step. In no time, you'll be ready to tackle other concepts in this book such asArithmetic and algebraic skillsFunctions and their graphsPolynomials, including binomial expansionRight and oblique angle trigonometryEquations and graphs of conic sectionsMatrices and their application to systems of equations

CliffsQuickReview Precalculus acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review — you decide what works best with your needs. You can either read the book from cover to cover or just look for the information you want and put it back on the shelf for later. What's more, you canUse the free Pocket Guide full of essential informationGet a glimpse of what you’ll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapterUse the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to knowTest your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource CenterUse the glossary to find key terms fast.

With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.

All students taking vocational engineering courses who require fundamental knowledge of mathematics for engineering and do not have prior knowledge beyond basic school mathematics, will find this book essential reading. The content has been designed primarily to meet the needs of students studying Level 2 courses, including GCSE Engineering and Intermediate GNVQ, and is matched to BTEC First specifications. However Level 3 students will also find this text to be a useful resource for getting to grips with the essential mathematics concepts needed for their study, as the compulsory topics required in BTEC National and AVCE / A Level courses are also addressed.

The fourth edition incorporates new material on adding waveforms, graphs with logarithmic scales, and inequalities – key topics needed for GCSE and Level 2 study.

John Bird’s approach is based on numerous worked examples, supported by 600 worked problems, followed by 1050 further problems within exercises included throughout the text. In addition, 15 Assignments are included at regular intervals. Ideal for use as tests or homework, full solutions to the Assignments are supplied in the accompanying Instructor’s Manual, available as a free download for lecturers from http://textbooks.elsevier.com.

Is it possible that the answer to becoming a more efficient and effective thinker is learning how to forget? Yes! Mike Byster will show you how mastering this extraordinary technique—forgetting unnecessary information, sifting through brain clutter, and focusing on only important nuggets of data—will change the quality of your work and life balance forever.

Using the six tools in The Power of Forgetting, you’ll learn how to be a more agile thinker and productive individual. You will overcome the staggering volume of daily distractions that lead to to brain fog, an inability to concentrate, lack of creativity, stress, anxiety, nervousness, angst, worry, dread, and even depression. By training your brain with Byster’s exclusive quizzes and games, you’ll develop the critical skills to become more successful in all that you do, each and every day.

SHE’LL TRY TO SOLVE FIVE QUESTIONS IN THREE HOURS, FOR ONE IMPROBABLE DREAM.

THE DREAM OF REPRESENTING HER COUNTRY, AND BECOMING A MATH OLYMPIAN.

As a small-town girl in Nova Scotia bullied for liking numbers more than boys, and lacking the encouragement of her unsupportive single mother who frowns at her daughter’s unrealistic ambition, Bethany's road to the International Math Olympiad has been marked by numerous challenges.

Through persistence, perseverance, and the support of innovative mentors who inspire her with a love of learning, Bethany confronts these challenges and develops the creativity and confidence to reach her potential.

In training to become a world-champion "mathlete", Bethany discovers the heart of mathematics – a subject that’s not about memorizing formulas, but rather about problem-solving and detecting patterns to uncover truth, as well as learning how to apply the deep and unexpected connections of mathematics to every aspect of her life, including athletics, spirituality, and environmental sustainability.

As Bethany reflects on her long journey and envisions her exciting future, she realizes that she has shattered the misguided stereotype that only boys can excel in math, and discovers a sense of purpose that through mathematics, she can and she will make an extraordinary contribution to society.

This book is an essential resource that will guide you through setting up, creating, and maintaining interactive notebooks for skill retention in the classroom. High-interest and hands-on, interactive notebooks effectively engage students in learning new concepts. Students are encouraged to personalize interactive notebooks to fit their specific learning needs by creating fun, colorful pages for each topic. With this note-taking process, students will learn organization, color coding, summarizing, and other important skills while creating personalized portfolios of their individual learning that they can reference throughout the year.

Spanning grades kindergarten to grade 8, the Interactive Notebooks series focuses on grade-specific math, language arts, or science skills. Aligned to meet current state standards, every 96-page book in this series offers lesson plans to keep the process focused. Reproducibles are included to create notebook pages on a variety of topics, making this series a fun, one-of-a-kind learning experience.

Get the question-and-answer practice you need with McGraw-Hill's 500 College Precalculus Questions. Organized for easy reference and intensive practice, the questions cover all essential precalculus topics and include detailed answer explanations.

The 500 practice questions are similar to course exam questions so you will know what to expect on test day. Each question includes a fully detailed answer that puts the subject in context. This additional practice helps you build your knowledge, strengthen test-taking skills, and build confidence. From ethical theory to epistemology, this book covers the key topics in precalculus.

Prepare for exam day with:

500 essential precalculus questions and answers organized by subject Detailed answers that provide important context for studying Content that follows the current college 101 course curriculumLawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.

Math is a difficult and abstract subject for many students, yet teachers need to make sure their students comprehend basic math concepts. This engaging activity book is a resource teachers can use to give students concrete understanding of the math behind the questions on most standardized tests, and includes information that will give students a firm grounding to work with more advanced math concepts.

Contains over 100 activities that address topics like number sense, geometry, computation, problem solving, and logical thinking. Includes projects and activities that are correlated to National Math Education Standards Activities are presented in order of difficulty and address different learning stylesMath Wise! is a key resource for teachers who want to teach their students the fundamentals that drive math problems.

Sally Moomaw, EdD, has spent much of her career researching and teaching STEM education. She is an assistant professor at the University of Cincinnati and the author of several early education books.

Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.

In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

- Teaches general principles that can be applied to a wide variety of problems.- Avoids the mindless and excessive routine computations that characterize conventional textbooks.- Treats algebra as a logically coherent discipline, not as a disjointed collection of techniques.- Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking.- Omits digressions, excessive formalities, and repetitive exercises.- Covers all the algebra needed to take a calculus course.- Includes solutions to all problems.

Contents1. To the Student2. A Few Prereqs3. Exponents4. Polynomials5. Factoring6. Linear & Quadratic Equations7. Inequalities & Absolute Values8. Coordinates in a Plane9. Functions & Graphs10. Straight Lines11. Circles12. Parabolas13. Types of Functions14. Logarithms15. Dividing Polynomials16. Systems of Linear Equations17. Geometric Progressions & Series18. Arithmetic Progressions19. Permutation & Combinations20. The Binomial Theorem21. Mathematical Induction22. Problems & Solutions

Each play includes speakers for three different grade levels of readability: 4th grade and lower, 5th-6th grade, and 7th-8th grade. Concepts are presented so that they are fluid among these grade levels. Taking a cross-curricular approach, the scripts reinforce key math concepts and standards-based math skills taught in the middle grades, such as order of operations, fractions, inequalities, positive and negative numbers, and graphing on a coordinate plane. Each play includes extended activities that will help the teacher incorporate the math concept into the classroom.

These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math.

This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.

The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical “doers.” This resource will be invaluable for pre- and inservice teachers as they prepare themselves to understand and teach algebra with a deep level of understanding.

“Uncomplicating Algebra is an excellent resource for teachers responsible for the mathematical education of K–8 students. It is also a valuable tool for the training of preservice teachers of elementary and middle school mathematics.”

—Carole Greenes, associate vice provost for STEM education, director of the Practice Research and Innovation in Mathematics Education (PRIME) Center, professor of mathematics education, Arizona State University

“The current climate in North America places a major emphasis on standards, including the Common Core State Standards for Mathematics in the U.S. In many cases, teachers are being asked to teach content with which they themselves struggle. In this book, Dr. Small masterfully breaks down the big ideas of algebraic thinking to assist teachers, math coaches, and preservice teachers—helping them to deepen their own understanding of the mathematics they teach. She describes common error patterns and examines algebraic reasoning from a developmental viewpoint, connecting the dots from kindergarten through grade 8. The book is clearly written, loaded with specific examples, and very timely. I recommend it strongly as a ‘must-read’ for all who are seeking to broaden their understanding of algebra and how to effectively teach this important content area to children.”

—Daniel J. Brahier, director, Science and Math Education in ACTION, professor of mathematics education, School of Teaching and Learning, Bowling Green State University

Fortunately, there's Schaum's. This all-in-one-package includes 738 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

738 fully solved problems The latest course scope and sequences, with complete coverage of limits, continuity, and derivatives Succinct explanation of all precalculus conceptsFully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum’s to shorten your study time--and get your best test scores!

Improve students’ math skills in the classroom while also providing a way to continue the learning process at home. Weekly Practice: Math for grade 4 allows you to reinforce math topics at school and at home by offering 40 weeks of standards-based activities and skill review. The unique layout and engaging exercises keep students interested as they build concept knowledge and essential skills. Reproducible at-home activities and flash cards are also included to encourage the home-to-school connection that’s essential for student success.

Weekly Practice is the perfect time-saving resource for creating standards-aligned homework packets and keeping students’ skills sharp all year long. The Weekly Practice series for kindergarten to grade 5 provides 40 weeks of comprehensive skill review. Each 192-page supplemental workbook focuses on critical skills and concepts that meet the standards for language arts or math. Designed to help students achieve subject mastery, each book includes four days of practice activities, weekly off-the-page activities, Common Core State Standards alignment matrix, flash cards, and an answer key. Weekly Practice offers an effortless way to integrate language arts or math practice into daily classroom instruction.

Now published as a portable, learning, reference and subject revision guide, students, teachers and hobbyists can have their own low-cost portable version as an eBook.

For easy reading, a comprehensive list of hundreds of topics each with a graphic image and explanatory text act as a useful exam revision reminder or reference tool for professionals.

The accompanying software which brings all these images to life can be downloaded at no extra charge thereby providing an additional computer based interactive learning resource as an easy and enjoyable way to study.

Unlock the accompanying software with your eBook receipt.

Chapters (250 topics): - Mathematics Tools, Number Systems, Number Conversion, Number Types, Compound Measures, Roots, Angles and Parallels, Triangle Ratios, Triangle Angles, Percentages, Ratios, Fractions, Vectors, Geometry, Circle Angles, Area, Surface Area and Symmetry, Volume, Laws, Algebra 0., Algebra 1., Algebra 2., Mathematical Rules, Powers and Indices, Simplifying, Linear Equations, Graphing, Slope and Translation, Curves and Angle Conversion, Personal Finance, Data Analysis, Binary Numbers, Binary Arithmetic, Additional Notes.

With the common core math curriculum being adopted by forty-three states, it is imperative that students learn to master those key math standards. Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 is the only book currently available that provides activities directly correlated to the new core curriculum for math. This text assists teachers with instructing the material and allows students to practice the concepts through use of the grade-appropriate activities included.

Students learn in different ways, and Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 acknowledges that fact through the inclusion of suggestions for variations and extensions of each concept to be used for students with different abilities and learning styles. The activities and lessons are as diverse as the students in your classroom. Inside Teaching with Common Core Math Standards With Hands-On Activities Grades 3-5, you will find:

Clear instructions to help you cover the skills and concepts for the new math core curriculum Engaging activities that enforce each core math standard for your students Various suggestions for ways to instruct the concepts to reach the diverse learning styles of your students Complete coverage of mathematical calculations, mathematical reasoning, and problem-solving strategies appropriate for grades 3-5Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 prepares students to achieve success in the important area of mathematics. As your students gain an understanding of the common core standards, they will build confidence in their ability to grasp and manipulate mathematical concepts as they move forward to the next level.

Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition.

This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.