Math Wonders To Inspire Teachers And Students

Author : Alfred Posamentier
Publisher : ASCD
Page : 296 pages
File Size : 44,8 Mb
Release : 2003-04-15
Category : Education
ISBN : 9781416601067

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Math Wonders to Inspire Teachers and Students by Alfred Posamentier Pdf

Are you "proud" to admit that you never liked math? Were never good in math? Are you struggling to pique your students' interest in math? Are you bored by the routine, mechanical aspects of teaching to the test in mathematics? This book offers a plethora of ideas to enrich your instruction and helps you to explore the intrinsic beauty of math. Through dozens of examples from arithmetic, algebra, geometry, and probability, Alfred S. Posamentier reveals the amazing symmetries, patterns, processes, paradoxes, and surprises that await students and teachers who look beyond the rote to discover wonders that have fascinated generations of great thinkers. Using the guided examples, help students explore the many marvels of math, including * The Amazing Number 1,089. Follow the instructions to reverse three-digit numbers, subtract them, and continue until everyone winds up with . . . 1,089! * The Pigeonhole Principle. All students know that guesstimating works sometimes, but now they can use this strategy to solve problems. * The Beautiful Magic Square. Challenge students to create their own magic squares and then discover the properties of Dürer's Magic Square. The author presents examples to entice students (and teachers) to study mathematics--to make mathematics a popular subject, not one to dread or avoid. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Author : Alfred S. Posamentier
Publisher : Unknown
Page : 277 pages
File Size : 48,7 Mb
Release : 2008
Category : Games in mathematics education
ISBN : 1741705525

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Math Wonders to Inspire Teachers and Students by Alfred S. Posamentier Pdf

Author : Arthur D Kramer,Alfred S Posamentier
Publisher : World Scientific
Page : 403 pages
File Size : 40,6 Mb
Release : 2022-06-29
Category : Mathematics
ISBN : 9789811248597

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Mathematics: Its Historical Aspects, Wonders And Beyond by Arthur D Kramer,Alfred S Posamentier Pdf

Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.

Author : Hirji, Karim F.
Publisher : Mkuki na Nyota Publishers
Page : 302 pages
File Size : 43,9 Mb
Release : 2014-07-20
Category : Biography & Autobiography
ISBN : 9789987082230

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Growing Up With Tanzania by Hirji, Karim F. Pdf

In Growing up with Tanzania. Karim Hirji, a renowned Professor of Medical Statistics and Fellow of the Tanzania Academy of Science, presents a multi-faceted, evocative portrait of his joyous but conflicted passage to adulthood during colonial and early-Uhuru Tanzania. His smooth style engages the reader with absorbing true tales, cultural currents, critical commentary and progressive possibilities. By vibrantly contrasting the hope-filled sixties with the cynical modern era, he also lays bare the paradoxes of personal life and society, past and present

Author : Alfred S Posamentier,Beverly Smith
Publisher : World Scientific
Page : 1042 pages
File Size : 41,5 Mb
Release : 2020-09-18
Category : Mathematics
ISBN : 9789811211430

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Teaching Secondary School Mathematics: Techniques And Enrichment by Alfred S Posamentier,Beverly Smith Pdf

The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.

Author : Denise H Sutton,Alfred S Posamentier
Publisher : World Scientific
Page : 222 pages
File Size : 46,8 Mb
Release : 2021-01-26
Category : Mathematics
ISBN : 9789811231681

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Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers by Denise H Sutton,Alfred S Posamentier Pdf

Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world — and beyond — are applicable to the world of education. It also offers educators practical advice with regard to the changing culture of education, keeping up with technology, navigating politics at work, interacting with colleagues, developing leadership skills, group behavior, and gender differences.Innovative Teaching demonstrates how the classroom environment is similar to the marketplace. Educators, like businesses, for example, must capture and hold the attention of their audience while competing with a constant stream of 'noise.' With the introduction of the Internet and the wide use of social media, promoters understand that they must not only engage their audience, but also incorporate audience feedback into the promotional work and product or service they offer. Innovative Teaching shows educators how to take the best practices from business — and beyond — and recombine these resources for appropriate use in the classroom.

Author : Alfred S. Posamentier,Daniel Jaye
Publisher : ASCD
Page : 242 pages
File Size : 53,9 Mb
Release : 2007-03-15
Category : Education
ISBN : 9781416605966

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Exemplary Practices for Secondary Math Teachers by Alfred S. Posamentier,Daniel Jaye Pdf

Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Author : Alfred S. Posamentier,Terri L. Germain-Williams,Daniel Jaye
Publisher : Corwin Press
Page : 273 pages
File Size : 42,8 Mb
Release : 2013-07-11
Category : Biography & Autobiography
ISBN : 9781452259130

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What Successful Math Teachers Do, Grades 6-12 by Alfred S. Posamentier,Terri L. Germain-Williams,Daniel Jaye Pdf

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.

Author : Titu Andreescu,Kathy Cordeiro,Alina Andreescu
Publisher : John Wiley & Sons
Page : 294 pages
File Size : 40,6 Mb
Release : 2019-12-17
Category : Education
ISBN : 9781119575733

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Awesome Math by Titu Andreescu,Kathy Cordeiro,Alina Andreescu Pdf

Help your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.

Author : Edward S. Wall,Alfred S. Posamentier
Publisher : Corwin Press
Page : 169 pages
File Size : 53,5 Mb
Release : 2006-09-14
Category : Education
ISBN : 9781483361512

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What Successful Math Teachers Do, Grades PreK-5 by Edward S. Wall,Alfred S. Posamentier Pdf

"The book is very easy to follow, with practical, research-based strategies for the teacher to use. It also provides insight to better remediate students who are struggling." -Allen Stevens, Math/Science Teacher Mooresville Middle School, NC "The ′Precautions and Pitfalls′ section is such a welcome feature! This is a powerful book for beginning teachers or seasoned teachers who want to improve their practice to ensure student learning." -Rhonda Naylor, Math Teacher/Coordinator Campus Middle School, Englewood, CO "The research and vignettes that follow each strategy clearly support why the strategy is important and how it can be effective." -Trish Guinee, Mathematics Coordinator Peoria Public Schools, IL Facilitate learning in PreK-5 mathematics and maximize student achievement with research-based teaching strategies! This easy-to-navigate guide offers research-based teaching strategies for introducing prekindergarten and elementary school students to the content and skills recommended by the NCTM principles and standards for mathematics. 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 How the strategy aligns with NCTM standards Grade-specific classroom applications and vignettes Precautions and possible pitfalls Primary sources for further reading This insightful resource allows teachers to increase students′ confidence in math-and their enthusiasm-with practical and engaging activities, while responding effectively to NCTM standards.

Author : Jo Boaler
Publisher : Penguin
Page : 274 pages
File Size : 43,9 Mb
Release : 2015-04-28
Category : Education
ISBN : 9781101992050

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What's Math Got to Do with It? by Jo Boaler Pdf

“Highly accessible and enjoyable for readers who love and loathe math.” —Booklist 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.

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 153 pages
File Size : 42,5 Mb
Release : 2009-02-25
Category : Education
ISBN : 9781452213309

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Problem Solving in Mathematics, Grades 3-6 by Alfred S. Posamentier,Stephen Krulik Pdf

With sample problems and solutions, this book demonstrates how teachers can incorporate nine problem solving strategies into any mathematics curriculum to help students succeed.

Author : Alfred S Posamentier,Stephen Krulik
Publisher : World Scientific
Page : 136 pages
File Size : 52,7 Mb
Release : 2016-11-11
Category : Mathematics
ISBN : 9789813146365

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Strategy Games to Enhance Problem-Solving Ability in Mathematics by Alfred S Posamentier,Stephen Krulik Pdf

Games are seen only for recreation. However, this book shows that games can be used to strengthen problem-solving skills and beyond. This book presents strategy games and discusses for each one solutions towards a winning position in the game. In most cases, these strategies are analogous to problem-solving strategies in mathematics. Readers are also exposed to a wide variety of games from several different cultures, which will broaden the perspective of the readers.

Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 281 pages
File Size : 52,7 Mb
Release : 2008-03-20
Category : Education
ISBN : 9781452295572

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Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 by Alfred S. Posamentier,Stephen Krulik Pdf

"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.

Author : Alfred S Posamentier,Peter Poole
Publisher : World Scientific
Page : 530 pages
File Size : 45,5 Mb
Release : 2020-03-23
Category : Mathematics
ISBN : 9789814663694

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Understanding Mathematics Through Problem Solving by Alfred S Posamentier,Peter Poole Pdf

This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: All in all, the book is meant to entertain the general readership and to convince them about the power and beauty of mathematics.