Posamentier Alfred S.

Two experienced math educators help the average reader discover not only the everyday usefulness of math but the fun that comes from mastering the basics of arithmetic, algebra, geometry, and more. If you think of mathematics as a series of pointless classroom exercises without much relevance to real life, this book will change your mind. As the authors show, math is deeply embedded in almost every aspect of daily life--from managing your personal finances, making consumer purchases, and sharpening your computational skills, to learning to apply mathematical concepts that will give you a better grasp of both ordinary and extraordinary events and help you better appreciate the world we live in. With some basic geometry under your belt, you'll discover that there is an optimal point on a soccer field from which to shoot a goal. And you'll be more clever with the gears of a bike. If you like to play cards or go to the casino, knowing something about probability will give you an edge. You'll also have an enhanced understanding of the "whispering effect" inside the Capitol rotunda, why a car's headlights are so bright, and even why sewer covers are round. After reading this entertaining and instructive book, you'll come away with a whole new awareness of how elegantly mathematics explains everyday experiences and observations--from present day items to classical art and architecture.

Did you grow up thinking math is boring? It's time to reconsider. This book will teach you everything you ever wondered about numbers-and more. How and why did human beings first start using numbers at the dawn of history? Would numbers exist if we Homo sapiens weren't around to discover them? What's so special about weird numbers like pi and the Fibonacci sequence? What about rational, irrational, real, and imaginary numbers? Why do we need them? Two veteran math educators explain it all in ways even the most math phobic will find appealing and understandable. You'll never look at those squiggles on your calculator the same again.

100 ways to get students hooked on math! It happens to the best of us: that one question that's got you stumped. Or maybe you have the answer, but it's not all that compelling or convincing. Al Posamentier and his coauthors to the rescue with this handy reference containing fun answers to students' 100 most frequently asked math questions. Even if you already have the answers, Al's explanations are certain to keep kids hooked—and that's what it's all about. The questions are all organized around the Common Core's math content standards and relate directly to Numbers and Quantity, Functions, Algebra, Geometry, and Statistics and Probability. The big benefits? You'll discover high-interest ways to: Teach inquiry and process in mathematical thinking Encourage flexibility in problem solving Emphasize efficient test-taking strategies Provide practical applications from mathematics, education, and human development research Build students' procedural skills and conceptual understanding

What works in math and why has never been the issue; the research is all out there. Where teachers struggle is the "how"—something the research rarely manages to tackle. That's the big service What Successful Math Teachers Do provides. It's a powerful portal to what the best research looks like in practice, strategy by strategy—aligned in this new edition to both the Common Core and the NCTM Standards. How exactly does What Successful Math Teachers Do work? It couldn't be easier to navigate. The book's eleven chapters organize clusters of strategies around a single aspect of a typical instructional program. For each of the 75 strategies, the authors present: A brief description of that strategy A summary of supporting research The NCTM and Common Core Standards it meets--and how Classroom applications, with examples Precautions and possible pitfalls Primary sources for further reading and research

This easy-to-navigate guide offers research-based teaching strategies for introducing nursery and primary school students to the content and skills they will need to teach mathematics effectively. Using the popular format of the What Successful Teachers Do books, the authors present 47 dynamic learning activities, each including: • A concise statement of the teaching strategy • Research-based validations for the strategy • Classroom applications and vignettes • Precautions and possible pitfalls • Primary sources for further reading

This easy-to-navigate guide offers research-based teaching strategies for introducing nursery and primary school students to the content and skills they will need to teach mathematics effectively. Using the popular format of the What Successful Teachers Do books, the authors present 47 dynamic learning activities, each including: • A concise statement of the teaching strategy • Research-based validations for the strategy • Classroom applications and vignettes • Precautions and possible pitfalls • Primary sources for further reading

Multiply math mastery and interest with these inspired teaching tactics! Invigorate instruction and engage students with this treasure trove of "Great Ideas" compiled by two of the greatest minds in mathematics. From commonly taught topics in algebra, geometry, trigonometry and statistics, to more advanced explorations into indirect proofs, binomial theorem, irrationality, relativity and more, this guide outlines actual equations and techniques that will inspire veteran and new educators alike. This updated second edition offers more proven practices for bringing math concepts to life in the classroom, including 114 innovative strategies organized by subject area User-friendly content identifying "objective," "materials," and "procedure" for each technique A range of teaching models, including hands-on and computer-based methods Specific and straightforward examples with step-by-step lessons Written by two distinguished leaders in the field-mathematician, author, professor, university dean and popular commentator Alfred S. Posamentier, along with mathematical pioneer and Nobel Prize recipient Herbert A. Hauptman-this guide brings a refreshing perspective to secondary math instruction to spark renewed interest and success among students and teachers.

Making Geometry Come Alive provides a set of versatile enrichment exercises designed to motivate students interest in a broad range of topics. Each activity is presented as a reproducible student investigation. It is followed by guidelines and notes for teachers. First and foremost, the activities are meant to be motivational. As much as possible, we want this book to achieve the goal of being attractive to students and show them that there is much more to geometry that proving theorems. To demonstrate this aspect of geometry, it is necessary for the investigation to be quite different from what students encounter in their basal texts-different in both substance and form. Presenting activities on a regular basis gives the variety and change of pace needed to sustain interest in any.

'This is a very interesting book and one that can only help our battle to make algebra come alive and help our students see the useful and interesting problems that algebra can help us to deal with' - Peter Hall, Imberhorne School, East Grinstead Making Algebra Come Alive! provides versatile enrichment exercises for teaching a broad range of mathematical topics and applications. Each activity is presented as a reproducible student investigation. It is followed by guidelines and notes for the teacher. Each activity is keyed to the National Council of Teachers of Mathematics (NCTM) Standards, Revised. This link to the NCTM standards allows teachers to facilitate linking classroom activities to specific state and school district content standards. First and foremost, the activities are meant to be motivational. As much as possible, we want this book to achieve the goal of being attractive to people who thought they didn't like mathematics. To accomplish this, it is necessary for the activities to be quite different from what students encounter in their basal texts-different in both substance and form. This seems especially critical; no matter how excellent a basal text is being used, nearly every class experiences the "blahs." Unfortunately, this sort of boredom is often well entrenched long before the teacher and perhaps even the students are aware of it. Presenting activities on a regular basis gives the variety and change of pace needed to sustain interest in any subject.

Making Pre-Algebra Come Alive! provides versatile enrichment exercises for teaching a broad range of mathematical topic. The book includes guidelines and notes.

Making Pre-Algebra Come Alive! provides versatile enrichment exercises for teaching a broad range of mathematical topic. The book includes guidelines and notes.

'This is a very interesting book and one that can only help our battle to make algebra come alive and help our students see the useful and interesting problems that algebra can help us to deal with' - Peter Hall, Imberhorne School, East Grinstead Making Algebra Come Alive! provides versatile enrichment exercises for teaching a broad range of mathematical topics and applications. Each activity is presented as a reproducible student investigation. It is followed by guidelines and notes for the teacher. Each activity is keyed to the National Council of Teachers of Mathematics (NCTM) Standards, Revised. This link to the NCTM standards allows teachers to facilitate linking classroom activities to specific state and school district content standards. First and foremost, the activities are meant to be motivational. As much as possible, we want this book to achieve the goal of being attractive to people who thought they didn't like mathematics. To accomplish this, it is necessary for the activities to be quite different from what students encounter in their basal texts-different in both substance and form. This seems especially critical; no matter how excellent a basal text is being used, nearly every class experiences the "blahs." Unfortunately, this sort of boredom is often well entrenched long before the teacher and perhaps even the students are aware of it. Presenting activities on a regular basis gives the variety and change of pace needed to sustain interest in any subject.

Written to provide classroom teachers access to the many worthwhile findings resulting from educational, psychological, and sociological research studies done in Europe and the United States, this book is a ready and easy reference for mathematics teachers. It consists of four chapters, each presenting a collection of teaching tips. It is an important first step in bringing educational research findings to the practitioners they were intended to help.

The SAT I Reasoning Test is widely used in colleges throughout the United States as a screening device for student admission. This guide is designed to help high school teachers assist their college applicants in preparing for this crucial test. The book provides an overview of the SAT I Test and a selective review of mathematics taught through elementary algebra and geometry. Curricular issues addressed include: what to teach, how to present it, and what consititutes the best possible setting. The importance of students' development of accuracy and speed is stressed throughout, and specific problem-solving strategies and short-cuts are presented in detail along with instructions for advising students on how and when to use them - and when it's best to guess.

The SAT I Reasoning Test is widely used in colleges throughout the United States as a screening device for student admission. This guide is designed to help high school teachers assist their college applicants in preparing for this crucial test. The book provides an overview of the SAT I Test and a selective review of mathematics taught through elementary algebra and geometry. Curricular issues addressed include: what to teach, how to present it, and what consititutes the best possible setting. The importance of students' development of accuracy and speed is stressed throughout, and specific problem-solving strategies and short-cuts are presented in detail along with instructions for advising students on how and when to use them - and when it's best to guess.