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.

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.

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.

Download or read book Solving Problems In Our Spatial World written by Guenter Maresch and published by World Scientific. This book was released on 2019-06-20 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The reference list is excellent. This is a worthwhile (though 'niche') book that will be attractive to a particular sector of the general reading public interested in mathematical riddles and puzzles. Professional educators might well employ it in integrated learning settings. Summing Up: Recommended. All readers.'CHOICEImmerse yourself in the fascinating world of geometry and spatial ability — either individually or in small groups, either as challenges or play problems! Here are four reasons why you should work with this book:This book offers a very unique opportunity to enhance your spatial ability, your mathematical competence, and your logical thinking. The authors arranged 45 problems — including more than 120 tasks — in a well-balanced order, which have been tested with a variety of populations.

Download or read book Mathematical Problem Solving written by Peter Liljedahl and published by Springer. This book was released on 2019-02-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Download or read book Understanding Mathematics Through Problem Solving written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-03-23 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mathematics Entertainment For The Millions written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-07-21 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.

Download or read book Creative Secondary School Mathematics written by Alfred S. Posamentier and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units -- ranging from grades 7 through 12 -- that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!

Download or read book Mathematics Problem solving Challenges For Secondary School Students And Beyond written by Alan Sultan and published by World Scientific. This book was released on 2016-02-25 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.

Download or read book Psychology Behind Mathematics The Comprehensive Guide written by VIRUTI SATYAN SHIVAN and published by Viruti Satyan Shivan. This book was released on with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dive into the fascinating intersection of mind and math with "Psychology Behind Mathematics: The Comprehensive Guide." This book offers an unparalleled exploration into how psychological principles shape our understanding and capabilities in mathematics. It sheds light on the cognitive processes, learning strategies, and emotional factors that influence mathematical comprehension and problem-solving skills. By bridging the gap between abstract numerical concepts and tangible psychological insights, this guide promises to transform your approach to mathematics, making it more accessible, enjoyable, and profoundly rewarding. Without relying on images or illustrations to avoid copyright issues, the book meticulously presents complex ideas through vivid descriptions and compelling narratives, ensuring a rich and immersive learning experience. Whether you're a student struggling with numbers, a teacher seeking innovative teaching strategies, or simply a math enthusiast curious about the psychological aspects of this universal language, this book is your key to unlocking a deeper, more intuitive understanding of mathematics. It goes beyond traditional methods to present a holistic view of the mathematical mind, incorporating research findings, case studies, and practical exercises. "Psychology Behind Mathematics: The Comprehensive Guide" is not just a book; it's a journey into the heart of mathematics through the lens of psychology, promising to enlighten, inspire, and empower its readers.

Download or read book Build a Mathematical Mind written by Albert Rutherford and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Would you like to be a proficient mathematician... without using numbers? There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car. Did you always hate math because you couldn't understand complex formulas? Don't let a few equations or a bad teacher deter you from building a mathematical mind. Learn the best cognitive tools to revolutionize the way you make sense of problems and persevere in solving them. Boost your critical thinking and analytical skills. Mathematical thinking involves analyzing data, patterns, and relationships and evaluating information and arguments, which can help improve critical thinking skills. Adopt a mathematician's mindset. Tinker, invent, make educated guesses, describe with precision, and use probability to your advantage. Build a Mathematical Mind - Even If You Think You Can't Have One is an action manual that will help you sharpen your everyday life skills such as:- improving your logic,- understanding how probability works,- and making estimations. This is a research-backed math manual you'll love to read. It contains examples for faster learning and greater everyday impact. Hone your problem-solving skills and make better decisions. Albert Rutherford is an internationally bestselling author whose writing derives from various sources, such as research, coaching, academic, and real-life experience. Improve your communication skills. Mathematical thinking involves clearly and concisely explaining ideas and solutions, which can improve how you communicate. With enhanced precision, you will have a keen attention to detail and the ability to be accurate in your thinking and talking. Increase your confidence. Developing mathematical thinking skills can increase your confidence and self-esteem, being able to solve difficult problems and understand complex ideas. If you ever felt ashamed for not getting math, this is the time to heal that wound. Give math another chance. Let it make you unstoppable!

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 256 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.

Download or read book Mathematical Problem Solving Workbook 3 written by Satya Pradhan and published by Createspace Independent Publishing Platform. This book was released on 2018-03-20 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Having strong problem-solving skills can make a huge difference in one's career in the modern knowledge-based economy. Problems are at the center of what we do at work every day. Whether one is developing a vaccine for the flu, creating an antivirus program for the Internet, delivering lifesaving drugs to remote villages, maximizing profits for a company, or understanding the complex structure of our universe, problems are an integral part of our everyday lives. Being an effective and confident problem solver is really important to one's success. Much of that confidence comes from having a good understanding of strategy and the tools to use when approaching a problem. Therefore, it is essential for students to develop the skills and techniques for problem solving at an early age, when they are in elementary school. Mathematical problem solving is often taught as a way to reinforce mathematical concepts, which misses the importance of strategic thinking while solving a problem. Many research articles and books have been written emphasizing the importance of problem-solving strategies. However, the burden of teaching problem-solving strategies is left mostly to teachers and parents, who are expected to develop their own curriculum and lesson plans for the complex topic of strategy and then teach it to students. This book presents different problem-solving strategies that can easily be used by teachers and parents to teach the subject. The first three chapters present the concepts of number operations, the basic problem-solving strategies, and the unitary method. This is followed by many different problems that students will encounter in their careers. These include lessons that present problems on numbers, age, time and distance, money, work and time, and mixtures. The focus of the book is to start with a problem statement, understand the problem, and then solve it with a known mathematical procedure. Detailed examples are presented in each lesson to show the step-by-step strategy to solve different types of real-life problems.

Download or read book Mathematical Problem Solving workbook 6 written by Satya Pradhan and published by Createspace Independent Publishing Platform. This book was released on 2017-03-10 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Having strong problem-solving skills can make a huge difference in one's career in the modern knowledge-based economy. Problems are at the center of what we do at work every day. Whether one is developing a vaccine for the flu, creating an antivirus program for the Internet, delivering lifesaving drugs to remote villages, maximizing profits for a company, or understanding the complex structure of our universe, problems are an integral part of our everyday lives. Being an effective and confident problem solver is really important to one's success. Much of that confidence comes from having a good understanding of strategy and the tools to use when approaching a problem. Therefore, it is essential for students to develop the skills and techniques for problem solving at an early age, when they are in elementary school. Mathematical problem solving is often taught as a way to reinforce mathematical concepts, which misses the importance of strategic thinking while solving a problem. Many research articles and books have been written emphasizing the importance of problem-solving strategies. However, the burden of teaching problem-solving strategies is left mostly to teachers and parents, who are expected to develop their own curriculum and lesson plans for the complex topic of strategy and then teach it to students. This book presents different problem-solving strategies that can easily be used by teachers and parents to teach the subject. The first three chapters present the concepts of number operations, the basic problem-solving strategies, and the unitary method. This is followed by many different problems that students will encounter in their careers. These include lessons that present problems on numbers, age, time and distance, money, work and time, and mixtures. The focus of the book is to start with a problem statement, understand the problem, and then solve it with a known mathematical procedure. Detailed examples are presented in each lesson to show the step-by-step strategy to solve different types of real-life problems.

Download or read book Mathematics That Power Our World The How Is It Made written by Joseph Khoury and published by World Scientific. This book was released on 2016-05-12 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics That Power Our World: How Is It Made? is an attempt to unveil the hidden mathematics behind the functioning of many of the devices we use on a daily basis. For the past years, discussions on the best approach in teaching and learning mathematics have shown how much the world is divided on this issue. The one reality we seem to agree on globally is the fact that our new generation is lacking interest and passion for the subject. One has the impression that the vast majority of young students finishing high school or in their early post-secondary studies are more and more divided into two main groups when it comes to the perception of mathematics. The first group looks at mathematics as a pure academic subject with little connection to the real world. The second group considers mathematics as a set of tools that a computer can be programmed to use and thus, a basic knowledge of the subject is sufficient. This book serves as a middle ground between these two views. Many of the elegant and seemingly theoretical concepts of mathematics are linked to state-of-the-art technologies. The topics of the book are selected carefully to make that link more relevant. They include: digital calculators, basics of data compression and the Huffman coding, the JPEG standard for data compression, the GPS system studied both from the receiver and the satellite ends, image processing and face recognition.This book is a great resource for mathematics educators in high schools, colleges and universities who want to engage their students in advanced readings that go beyond the classroom discussions. It is also a solid foundation for anyone thinking of pursuing a career in science or engineering. All efforts were made so that the exposition of each topic is as clear and self-contained as possible and thus, appealing to anyone trying to broaden his mathematical horizons.

Download or read book Logitica Improve Your Critical Thinking and Problem Solving Skills The Brain Behind the Brain written by Neelabh Kumar and published by . This book was released on 2019-01-08 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attention: Parents and KIDS: Learn faster in school and life and also retain more of what you learn. This book is a perfect gift for your kids (secondary school and beyond) for improving their Cognitive abilities. Read further below to know the real benefits of reading each chapters in Logitica. Logitica created by an author, who memorized first 1500 digits of Pi (π) and now is ranked among the top 150 on the Pi World Ranking List. LOGITICA stimulates brainpower and can be considered "The Brain Behind the Brain." Pages: 300+ pages. Improve your critical thinking and problem solving skills by tackling a wide variety of problems that LOGITICA presents. This book contains 13 unique chapters as listed below: Chapter 1: Number Box...... Logic, Reasoning Chapter 2: Number Cross...... Logic, Reasoning Chapter 3: Number Sequence....... Logic, Reasoning Chapter 4: Marbles in a Box....... Simple Equations Chapter 5: Brick Wall....... Simple Equations Chapter 6: Average Cell....... Simple Equations, Arithmetic Mean Chapter 7: Mixed Arithmetic Cell....... Simple Equations Chapter 8: Wisgo Number Tile....... Logic, Stimulating both sides of the brain Chapter 9: Number Pyramid....... Pascal's Triangle, Simple Equations Chapter 10: Average Number Pyramid....... Pascal's Triangle, Arithmetic Mean Chapter 11: I/O Arithmetic Box....... Reverse Step, Logic/Math Chapter 12: Lost Ant....... Vector / Scalar, Quadratic Equations Chapter 13: Lock and Key....... Logic, Strategy, Worst-Case Scenario About Author Neelabh Kumar is a thinker. - Having memorized the first 1500 digits of Pi (π) using sequential memory recollection, he is ranked among the top 150 on the Pi World Ranking List. - Creator behind Wisgo Logitica, which stimulates both sides of the brain. - One of the Wisgo Logiticas Kumar created has a patent filing in Hong Kong. - Creator of Logitica - After earning a Masters Degree from one of the most prestigious universities in India (IIT), Kumar is now employed in Hong Kong at a large financial firm, while also creating and designing a new Logitica, with more to come. KEYWORDS: Problem Solving, Logic, Analytical Thinking, Critical Thinking, Reasoning Preface: In today's competitive environment everyone must strive to reach his or her full potential if they want success. Students and professionals alike can do this by working to improve their brainpower. If you plan on developing the next big app or embarking on a professional career in almost any field, you will need highly developed logical and analytical thinking skills. Why not start with LOGITICA: The Brain Behind the Brain?

Download or read book Mathematical Explorations for Young Minds written by Bálint Hujter and published by Springer. This book was released on 2024-10-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a carefully curated selection of mathematical problems suitable for young minds aged 12 and beyond. Most of these problems have been adapted from the Dürer Competition, a venerable mathematics competition in Hungary renowned for fostering teamwork and encouraging creative thinking in the realm of mathematical problem-solving. Within the pages of this book, readers are invited to accompany Albrecht, Tarkal, and Zsordi on 14 captivating journeys to the enigmatic Island of Oxisz, where they will encounter a total of 84 thought-provoking problems. Some of these challenges are intricately interconnected, elevating the level of difficulty. The concluding section provides comprehensive solutions and helpful hints, illuminating the paths taken by the three friends to tackle the problems. No specialized prior knowledge is required beyond a solid foundation in mathematics from the first seven years of school. Nevertheless, many problems in the book demand original ideas or clever combinations of elementary principles. This book offers students, mathematics educators, and trainers alike a captivating glimpse into a distinctive competition, making it a valuable resource for cultivating problem-solving skills at an early age.