MouseMatics

MouseMatics PDF Author: Jane Kats
Publisher:
ISBN: 9781496050496
Category :
Languages : en
Pages : 64

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Book Description
Dear parents and teachers! You now have in your hands a far from ordinary workbook for the ordinary subject of mathematics.There is a multitude of books and aids that help preschoolers become familiar with mathematics. All these aids introduce children to the world of numbers and geometric figures, teach them to tell numbers apart, continue patterns, and find identical pictures. The problems and tasks presented in all these books are more or less similar: connect identical shapes, find the odd one out in a set, count the number of objects, add or subtract, find the largest object, connect the dots to write the number 3, number 4, number 5, and so on.However, the standard exercises conceal several dangers. First, they perpetuate unnecessary stereotypes to which the child quickly becomes accustomed. For instance, if the child needs to find an odd one out in a set, there may be only one correct answer. If the child is asked to match identical figures, there will be exactly one match for each figure, and the counterpart will be located in a different column. The child perceives the instructions and solutions as the "rules of the game" and learns to follow them, and is stumped by the smallest exception to these rules - say, there are two different ways to exclude an extra object or there are three matching shapes. There are also hidden, but pervasive visual stereotypes: children often memorize images and connect them with the required words; for instance, they know that a picture with dots drawn in the corners of a square is called "four", and an identical picture with an extra dot in the middle is called "five". But can they recognize the same number five if it looks different? These stereotypes interfere with a child's ability to master counting, and constrict the child's freedom of thought. Therefore, in this workbook we try to break as many stereotypes as possible.-In some problems, we have two correct solutions (a pair of friends can split a chocolate bar in different ways); some problems lack an answer (an odd number of objects cannot be divided in two). After all, in mathematics no solution is also a solution. -A matching pair of shapes can be found in the same column. -We build geometric figures using not only the usual squares, but also diamonds, trapezoids, and triangles: -When the child is asked to find a number value, we use a variety of shapes in addition to dots: diamonds, crosses, anything. Also, their arrangements in the boxes are random, unlike the standard dice configurations. Always doing the same exercises is just boring. Yet, mathematics includes so many beautiful and interesting topics! We have tried to create this workbooks as a compilation of unconventional, not obvious tasks that are easily understandable for five- and six-year-olds. While doing so, we have focused not on counting itself, for its own sake, but on the fact that it might be interesting to think and find your own solutions. Therefore, in this workbook:-We alternate problems of different type.-Most of the problems have elements of games and metaphors that children can relate to, including "Number Snakes" and "Hungry Crocodiles" (to easily explain the use of 'greater than' sign to children); bunnies and kittens hiding behind fences; entryways and floors of tall apartment buildings; as well as many other fun, child-friendly, engaging details.-There are even entirely new types of tasks, created in our Moscow-based children's math club called "Fun Mathematics". These include exercises with counting sticks (to make geometric shapes), problems about birds in cages, games with size pointers ("I'm bigger than you!"), and puzzles about brothers and sisters. We hope that using this workbook will be interesting and fun for both children and their caregivers!

MouseMatics

MouseMatics PDF Author: Jane Kats
Publisher:
ISBN: 9781496050496
Category :
Languages : en
Pages : 64

Get Book Here

Book Description
Dear parents and teachers! You now have in your hands a far from ordinary workbook for the ordinary subject of mathematics.There is a multitude of books and aids that help preschoolers become familiar with mathematics. All these aids introduce children to the world of numbers and geometric figures, teach them to tell numbers apart, continue patterns, and find identical pictures. The problems and tasks presented in all these books are more or less similar: connect identical shapes, find the odd one out in a set, count the number of objects, add or subtract, find the largest object, connect the dots to write the number 3, number 4, number 5, and so on.However, the standard exercises conceal several dangers. First, they perpetuate unnecessary stereotypes to which the child quickly becomes accustomed. For instance, if the child needs to find an odd one out in a set, there may be only one correct answer. If the child is asked to match identical figures, there will be exactly one match for each figure, and the counterpart will be located in a different column. The child perceives the instructions and solutions as the "rules of the game" and learns to follow them, and is stumped by the smallest exception to these rules - say, there are two different ways to exclude an extra object or there are three matching shapes. There are also hidden, but pervasive visual stereotypes: children often memorize images and connect them with the required words; for instance, they know that a picture with dots drawn in the corners of a square is called "four", and an identical picture with an extra dot in the middle is called "five". But can they recognize the same number five if it looks different? These stereotypes interfere with a child's ability to master counting, and constrict the child's freedom of thought. Therefore, in this workbook we try to break as many stereotypes as possible.-In some problems, we have two correct solutions (a pair of friends can split a chocolate bar in different ways); some problems lack an answer (an odd number of objects cannot be divided in two). After all, in mathematics no solution is also a solution. -A matching pair of shapes can be found in the same column. -We build geometric figures using not only the usual squares, but also diamonds, trapezoids, and triangles: -When the child is asked to find a number value, we use a variety of shapes in addition to dots: diamonds, crosses, anything. Also, their arrangements in the boxes are random, unlike the standard dice configurations. Always doing the same exercises is just boring. Yet, mathematics includes so many beautiful and interesting topics! We have tried to create this workbooks as a compilation of unconventional, not obvious tasks that are easily understandable for five- and six-year-olds. While doing so, we have focused not on counting itself, for its own sake, but on the fact that it might be interesting to think and find your own solutions. Therefore, in this workbook:-We alternate problems of different type.-Most of the problems have elements of games and metaphors that children can relate to, including "Number Snakes" and "Hungry Crocodiles" (to easily explain the use of 'greater than' sign to children); bunnies and kittens hiding behind fences; entryways and floors of tall apartment buildings; as well as many other fun, child-friendly, engaging details.-There are even entirely new types of tasks, created in our Moscow-based children's math club called "Fun Mathematics". These include exercises with counting sticks (to make geometric shapes), problems about birds in cages, games with size pointers ("I'm bigger than you!"), and puzzles about brothers and sisters. We hope that using this workbook will be interesting and fun for both children and their caregivers!

MouseMatics 7-8. Learning Math the Fun Way

MouseMatics 7-8. Learning Math the Fun Way PDF Author:
Publisher:
ISBN: 9781542640923
Category :
Languages : en
Pages : 64

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Book Description
See other books in the MouseMatics Series

Math Circles for Elementary School Students

Math Circles for Elementary School Students PDF Author: Natasha Rozhkovskaya
Publisher: American Mathematical Soc.
ISBN: 1470416956
Category : Education
Languages : en
Pages : 186

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Book Description
The main part of this book describes the first semester of the existence of a successful and now highly popular program for elementary school students at the Berkeley Math Circle. The topics discussed in the book introduce the participants to the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. Each chapter in the first part of this book consists of two parts. It starts with generously illustrated sets of problems and hands-on activities. This part is addressed to young readers who can try to solve problems on their own or to discuss them with adults. The second part of each chapter is addressed to teachers and parents. It includes comments on the topics of the lesson, relates those topics to discussions in other chapters, and describes the actual reaction of math circle participants to the proposed activities. The supplementary problems that were discussed at workshops of Math Circle at Kansas State University are given in the second part of the book. The book is richly illustrated, which makes it attractive to its young audience. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

A Moscow Math Circle

A Moscow Math Circle PDF Author: Sergey Dorichenko
Publisher: American Mathematical Soc.
ISBN: 0821868748
Category : Mathematics
Languages : en
Pages : 266

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Book Description
Moscow has a rich tradition of successful math circles, to the extent that many other circles are modeled on them. This book presents materials used during the course of one year in a math circle organized by mathematics faculty at Moscow State University, and also used at the mathematics magnet school known as Moscow School Number 57. Each problem set has a similar structure: it combines review material with a new topic, offering problems in a range of difficulty levels. This time-tested pattern has proved its effectiveness in engaging all students and helping them master new material while building on earlier knowledge. The introduction describes in detail how the math circles at Moscow State University are run. Dorichenko describes how the early sessions differ from later sessions, how to choose problems, and what sorts of difficulties may arise when running a circle. The book also includes a selection of problems used in the competition known as the Mathematical Maze, a mathematical story based on actual lessons with students, and an addendum on the San Jose Mathematical Circle, which is run in the Russian style. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Mathematical Circle Diaries, Year 1

Mathematical Circle Diaries, Year 1 PDF Author: Anna Burago
Publisher: American Mathematical Soc.
ISBN: 0821887459
Category : Education
Languages : en
Pages : 355

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Book Description
Early middle school is a great time for children to start their mathematical circle education. This time is a period of curiosity and openness to learning. The thinking habits and study skills acquired by children at this age stay with them for a lifetime. Mathematical circles, with their question-driven approach and emphasis on creative problem-solving, have been rapidly gaining popularity in the United States. The circles expose children to the type of mathematics that stimulates development of logical thinking, creativity, analytical abilities and mathematical reasoning. These skills, while scarcely touched upon at school, are in high demand in the modern world. This book contains everything that is needed to run a successful mathematical circle for a full year. The materials, distributed among 29 weekly lessons, include detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle. The curriculum, which is based on the rich and long-standing Russian math circle tradition, has been modified and adapted for teaching in the United States. For the past decade, the author has been actively involved in teaching a number of mathematical circles in the Seattle area. This book is based on her experience and on the compilation of materials from these circles. The material is intended for students in grades 5 to 7. It can be used by teachers and parents with various levels of expertise who are interested in teaching mathematics with the emphasis on critical thinking. Also, this book will be of interest to mathematically motivated children. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

A Decade of the Berkeley Math Circle

A Decade of the Berkeley Math Circle PDF Author: Zvezdelina Stankova
Publisher: American Mathematical Soc.
ISBN: 0821846833
Category : Mathematics
Languages : en
Pages : 346

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Book Description
Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Math from Three to Seven

Math from Three to Seven PDF Author: Aleksandr K. Zvonkin
Publisher: American Mathematical Soc.
ISBN: 082186873X
Category : Education
Languages : en
Pages : 321

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Book Description
This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even "work" at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Geometry in Problems

Geometry in Problems PDF Author: Alexander Shen
Publisher: American Mathematical Soc.
ISBN: 1470419211
Category : Juvenile Nonfiction
Languages : en
Pages : 229

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Book Description
Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving. The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. What a joy! Shen's ``Geometry in Problems'' is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book. --James Tanton, Mathematician-at-Large, Mathematical Association of America We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience. --Mark Saul, Director of Competitions, Mathematical Association of America

100 Best Poems for Children

100 Best Poems for Children PDF Author: Roger McGough
Publisher: Puffin
ISBN: 9780141310589
Category : Children's poetry, English
Languages : en
Pages : 128

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Book Description
A collection of the very best poems for children, edited by Roger McGough A wonderful collection of contemporary and classic poems chosen by children from schools around the UK. Roger McGough made the final selection and wrote the introduction. Roger McGough was born in Liverpool and educated at the University of Hull. He came to prominence in the 1960s with the publication of THE MERSEY SOUND, and is one of today's most popular poets. He writes for children and adults and performs his poetry all over the world. He was honoured with an OBE in 1997, and won the Signal Poetry Award in 1998. Roger now lives in London. Sheila Moxley is gaining a powerful reputation for her multi-cultural illustration. She lives in London.

Mental Maths Year 2

Mental Maths Year 2 PDF Author:
Publisher:
ISBN: 9780857697882
Category : Mental arithmetic
Languages : en
Pages :

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Book Description
This book is written to match the objectives of the new National Curriculum and features weekly tests that provide regular mental maths practice.