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Sharpening Everyday Mental Thinking Skills Through Mathematics Problem Solving And Beyond
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Book Synopsis Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond by : Alfred S Posamentier
Download or read book Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond written by Alfred S Posamentier and published by World Scientific. This book was released on 2024-01-22 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a subject taught from kindergarten through to high school, and yet it is the one subject that most adults are almost proud to admit to not having been very good at, and, therefore, tend to avoid it where they can. However, one of the key factors in mathematics is its ability to enable us to solve everyday problems. When we consider 'the worst-case scenario' of the situation, it is analogous to solving a mathematical problem by considering extremes. Or, we might consider the best path to take from point A to point B, where geometric relationships can be helpful. This book is intended to demonstrate a variety of neglected aspects of mathematics, in order to demonstrate the power and beauty of the field of mathematics beyond where most people, students, and teachers believe is possible.The chapters of the book explore a multitude of topics: unusual arithmetic calculations and shortcuts, entertaining and instructional problem-solving strategies, unusual applications of algebra, and how geometry allows us to better appreciate physical relationships. Only a basic mathematical knowledge is needed to understand these topics and problems; however, the book also demonstrates that, armed with even this level of understanding, our mathematical skills far exceed what we learned at school! The final chapter is the most challenging, and explores a curious problem-solving technique.
Author :Alfred S. Posamentier Publisher :World Scientific Publishing Company ISBN 13 :9789811276392 Total Pages :0 pages Book Rating :4.2/5 (763 download)
Book Synopsis Sharpening Everyday Mental/Thinking Skills Through Mathematics Problem Solving and Beyond by : Alfred S. Posamentier
Download or read book Sharpening Everyday Mental/Thinking Skills Through Mathematics Problem Solving and Beyond written by Alfred S. Posamentier and published by World Scientific Publishing Company. This book was released on 2023-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a subject taught from kindergarten through to high school, and yet it is the one subject that most adults are almost proud to admit to not having been very good at, and, therefore, tend to avoid it where they can. However, one of the key factors in mathematics is its ability to enable us to solve everyday problems. When we consider 'the worst-case scenario' of the situation, it is analogous to solving a mathematical problem by considering extremes. Or, we might consider the best path to take from point A to point B, where geometric relationships can be helpful. This book is intended to demonstrate a variety of neglected aspects of mathematics, in order to demonstrate the power and beauty of the field of mathematics beyond where most people, students, and teachers believe is possible.The chapters of the book explore a multitude of topics: unusual arithmetic calculations and shortcuts, entertaining and instructional problem-solving strategies, unusual applications of algebra, and how geometry allows us to better appreciate physical relationships. Only a basic mathematical knowledge is needed to understand these topics and problems; however, the book also demonstrates that, armed with even this level of understanding, our mathematical skills far exceed what we learned at school! The final chapter is the most challenging, and explores a curious problem-solving technique.
Book Synopsis Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume Iii - Keeping Competition Mathematics Engaging In Pandemic Times by : Robert Geretschlager
Download or read book Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume Iii - Keeping Competition Mathematics Engaging In Pandemic Times written by Robert Geretschlager and published by World Scientific. This book was released on 2024-01-16 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging Young Students in Mathematics through Competitions presents a wide range of topics relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment. Following the earlier two volumes, contributors explore a wide variety of fascinating problems of the type often presented at mathematics competitions. In this new third volume, many chapters are directly related to the challenges involved in organizing competitions under Covid-19, including many positive aspects resulting from the transition to online formats. There are also sections devoted to background information on connections between the mathematics of competitions and their organization, as well as the competitions' interplay with research, teaching and more.The various chapters are written by an international group of authors involved in problem development, many of whom were participants of the 9th Congress of the World Federation of National Mathematics Competitions in Bulgaria in 2022. Together, they provide a deep sense of the issues involved in creating such problems for competition mathematics and recreational mathematics.
Book Synopsis Geometric Gems: An Appreciation For Geometric Curiosities - Volume I: The Wonders Of Triangles by : Alfred S Posamentier
Download or read book Geometric Gems: An Appreciation For Geometric Curiosities - Volume I: The Wonders Of Triangles written by Alfred S Posamentier and published by World Scientific. This book was released on 2024-03-07 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.
Book Synopsis Math Refresher for Adults: The Perfect Solution by : Richard W. Fisher
Download or read book Math Refresher for Adults: The Perfect Solution written by Richard W. Fisher and published by Mastering Essential Math Skill. This book was released on 2018-03-23 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The perfect math refresher for audults. Short, concise lessons include video tutorials. Reasons you may need this book. You have a math phobia. You have forgotten the math that you learned. You are re-entering the workforce. A new job requires strong math skills. You need to improve math skills to advance your career. And the list goes on.
Book Synopsis Street-Fighting Mathematics by : Sanjoy Mahajan
Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Book Synopsis Fate of Schrodinger's Cat, The: Using Math and Computers to Explore the Counterintuitive by : James D. Stein
Download or read book Fate of Schrodinger's Cat, The: Using Math and Computers to Explore the Counterintuitive written by James D. Stein and published by Problem Solving in Mathematics. This book was released on 2020 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can we correctly predict the flip of a fair coin more than half the time -- or the decay of a single radioactive atom? Our intuition, based on a lifetime of experience, tells us that we cannot, as these are classic examples of what are known to be 50-50 guesses.But mathematics is filled with counterintuitive results -- and this book discusses some surprising and entertaining examples. It is possible to devise experiments in which a flipped coin lands heads completely at random half the time, but we can also correctly predict when it will land heads more than half the time. The Fate of Schrodinger's Cat shows how high-school algebra and basic probability theory, with the invaluable assistance of computer simulations, can be used to investigate both the intuitive and the counterintuitive.This book explores fascinating and controversial questions involving prediction, decision-making, and statistical analysis in a number of diverse areas, ranging from whether there is such a thing as a 'hot hand' in shooting a basketball, to how we can successfully predict, more than half the time, the decay of the radioactive atom that determines the fate of Schrodinger's Cat.
Download or read book Mindstorms written by Seymour A Papert and published by Basic Books. This book was released on 2020-10-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible.
Book Synopsis Mathematics - Connection And Beyond: Yearbook 2020 Association Of Mathematics Educators by : Tin Lam Toh
Download or read book Mathematics - Connection And Beyond: Yearbook 2020 Association Of Mathematics Educators written by Tin Lam Toh and published by World Scientific. This book was released on 2021-04-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 11 chapters from various experts all over the world on mathematics education. It provides different perspective of how to establish connection within mathematics and beyond. The ideas are from different authors internationally and is practice-oriented, based on empirical studies conducted by the various authors. This is a good illustration of linking theory with practice.
Book Synopsis Mastering Essential Math Skills by : Richard W. Fisher
Download or read book Mastering Essential Math Skills written by Richard W. Fisher and published by . This book was released on 2003-01-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides structure and guidance to the teacher by means of speed drills, review exercises, teacher tips, word problems and new material for each day.
Book Synopsis Thinking Skills by : John Butterworth
Download or read book Thinking Skills written by John Butterworth and published by Cambridge University Press. This book was released on 2013-04-18 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Skills, second edition, is the only endorsed book offering complete coverage of the Cambridge International AS and A Level syllabus.
Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :
Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.
Book Synopsis The Cambridge Handbook of Cognition and Education by : John Dunlosky
Download or read book The Cambridge Handbook of Cognition and Education written by John Dunlosky and published by Cambridge University Press. This book was released on 2019-02-07 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.
Book Synopsis Thinking Skills by : John Butterworth
Download or read book Thinking Skills written by John Butterworth and published by Cambridge University Press. This book was released on 2005-05-26 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encourage students to reflect on the processes of thinking, as well as practising thinking skills. Thinking Skills encourages students to reflect on the processes of thinking, as well as developing and practising thinking skills. It is divided into two sections: Critical thinking and Problem solving. As well as giving students a thorough grounding in these areas, the authors provide opportunities for students to analyse and evaluate arguments, analyse numerical and graphical information and develop a range of skills.
Book Synopsis Primary Problem-Solving in Mathematics by : George Booker
Download or read book Primary Problem-Solving in Mathematics written by George Booker and published by . This book was released on 2010-01-29 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: A photocopiable series to develop problem solving skills and mathematical thinking in primary pupils. It provides activities that develop spatial visualisation, logical reasoning, establishing criteria, interpreting, analysing, organising and using information, strategic thinking and using patterns.
Book Synopsis The Ideal Problem Solver by : John Bransford
Download or read book The Ideal Problem Solver written by John Bransford and published by W H Freeman & Company. This book was released on 1993 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provocative, challenging, and fun, The Ideal Problem Solver offers a sound, methodical approach for resolving problems based on the IDEAL (Identify, Define, Explore, Act, Look) model. The authors suggest new strategies for enhancing creativity, improving memory, criticizing ideas and generating alternatives, and communicating more effectively with a wider range of people. Using the results of laboratory research previously available only in a piece-meal fashion or in scientific journals, Bransford and Stein discuss such issues as Teaming new information, overcoming blocks to creativity, and viewing problems from a variety of perspectives.
Book Synopsis The New Teacher's Complete Sourcebook by : Bonnie P. Murray
Download or read book The New Teacher's Complete Sourcebook written by Bonnie P. Murray and published by Scholastic Inc.. This book was released on 2002 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: A seasoned elementary teacher shares her strategies in this amazing, super-practical guide. You ll find everything you need to set up your classroom for maximum learning, prepare dynamite lessons, create an effective classroom management plan . . . and so much more! From getting ready for the first day to staying on target through June, this must-have book will be your companion for years to come. For use with Grades K-4."
