Magnificent Mistakes in Mathematics PDF Download
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Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 1616147482
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.
Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 1616147482
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.
Author: Helen Cooper
Publisher: Letts and Lonsdale
ISBN: 9781843151180
Category : Juvenile Nonfiction
Languages : en
Pages : 36
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Book Description
This is a home study series designed to teach children core skills that will build confidence at school. Each book supports the literacy or numeracy framework for the relevant school year. The English titles cover a wide range of topics ranging from comprehension to story writing, and the maths titles cover topics ranging from algebra to fractions. The books magical wizard theme should entertain as well as educate. Motivation is encouraged by giving gold stars, which can be added to a certificate of excellence at the back of each book. Parental guidance on how to make the best use of the book is included.
Author: Mala Kumar
Publisher: Pratham Books
ISBN: 8182639093
Category : Crafts & Hobbies
Languages : en
Pages : 24
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Book Description
시리즈는 총 40권으로 6단계로 이루어져 있습니다. 의사표현이 가능한 4세부터 아이의 어휘 수준에 맞춰 순서대로 읽히는 것이 좋습니다. 세계의 아이들은 어떻게 영어공부 할까? 전 세계의 어린이들이 보는 글로벌 그림책 프라담 북스 시리즈! 프라담 북스 시리즈 아직 영어를 스스로 읽지는 못하는 아이부터 영어를 스스로 읽을 수 있는 나이까지 유아에서 초등 전연령층에서 재미있게 볼 수 있는 영어동화 시리즈 입니다. 단어 학습에서부터 문화 학습 그리고 어린이들이 접할 수 있는 다양한 에피소드 등 아이들이 흥미를 느낄만한 주제들로 구성되어 있습니다. LEVEL 1,2의 경우 부모님이 큰소리로 읽어주고 상황을 설명해주는 활동을 아이들과 수십번 반복적으로 지속하세요. LEVEL 3,4,5의 경우 아이들이 직접 스스로 소리내어 읽는 연습을 반복하다 보면 발음이나 영어문장에 대한 자연스러운 학습이 이루어 집니다. 많은 텍스트를 제공해주는 것보다 한권의 도서를 반복 리딩 하는 것이 더 중요한 학습 방법 입니다. * 엄마와 함께 읽는 영어동화 - 프라담북스 구성 - LEVEL 1 : 입문편 : 영어를 전혀 읽지 못하는 아이들 대상, 유아 대상 - LEVEL 2 : 입문편 : 영어를 전혀 읽지 못하는 아이들 대상, 유아 대상 - LEVEL 3 : 기초편 : 영어 학습 경험이 조금 있는 아이들 대상, 초등 저학년 대상 - LEVEL 4 : 기본편 : 영어 학습 경험이 많은 아이들 대상, 초등 고학년 대상 - LEVEL 5 : 기본편 : 영어 학습 경험이 많은 아이들 대상, 초등 고학년 대상 - LEVEL 6 : 고급편 : 영어에 익숙한 아이들 대상, 초등 고학년 대상 Happy Maths 4 : Time And Money Maths becomes a jolly read in these books. Abstract concepts get playfully simple explanations through lively illustrations.
Author: Lynn Huggins-Cooper
Publisher: Letts and Lonsdale
ISBN: 9781843151227
Category : Juvenile Nonfiction
Languages : en
Pages : 36
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Book Description
This is a home study series designed to teach children core skills that will build confidence at school. Each book supports the literacy or numeracy framework for the relevant school year. The English titles cover a wide range of topics ranging from comprehension to story writing, and the maths titles cover topics ranging from algebra to fractions. The books magical wizard theme should entertain as well as educate. Motivation is encouraged by giving gold stars, which can be added to a certificate of excellence at the back of each book. Parental guidance on how to make the best use of the book is included.
Author: Atul Gupta
Publisher: Jaico Publishing House
ISBN: 8179923576
Category : Self-Help
Languages : en
Pages : 149
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Book Description
NATIONAL BESTSELLER 2nd REVISED & UPDATED EDITION With Trigonometry Vedic mathematics is gaining widespread popularity among the student community as well as maths lovers. The absence of a book, explaining the techniques in a simple language, has been felt acutely for a long time. This book has been written using a step-by-step approach, and attempts to fill the existing void. It includes several solved problems in addition to 1000 practice problems with answers. It also includes a special chapter which shows the application of the techniques to problems set in competitive exams like CAT, CET etc. People from all walks of life including school and college students, teachers, parents and also those from non-mathematical areas of study will discover the joys of solving mathematical problems using the wonderful set of techniques called Vedic Maths.
Author: Helen Cooper
Publisher: Letts and Lonsdale
ISBN: 9781843151197
Category : Juvenile Nonfiction
Languages : en
Pages : 36
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Book Description
Extraordinary English covers essential topics from the National Curriculum and is based around the popular theme of magic. Wizard Whimstaff's blend of fun with curriculum-based activities enchants and educates young learners. Children work towards attaining a Wizard's Trophy of Excellence at the end of the book.
Author: Clive Gifford
Publisher: Quick Histories
ISBN: 0711249016
Category : Mathematics
Languages : en
Pages : 130
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Book Description
A Quick History of Maths is 43,000 years of mathematical discoveries packed into one book, plus lots of jokes.
Author: Paul Broadbent
Publisher: Letts and Lonsdale
ISBN: 9781843150985
Category : Juvenile Nonfiction
Languages : en
Pages : 38
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Book Description
A fun, interactive activity book based around the popular theme of magic to engage and motivate young learners. This book helps children to practise their multiplication and division skills, reinforcing what has been taught at school. The books combine fun, magical characters and fantastic illustrations with National Curriculum- focused activities *Motivating activities based on the KS2 National Curriculum *Step-by-step learning introduced by fun characters *Includes gold stickers to reward achievement
Author: Alison Head
Publisher: Letts and Lonsdale
ISBN: 9781843151203
Category : Juvenile Nonfiction
Languages : en
Pages : 36
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Book Description
Enchanted English covers essential topics from the National Curriculum and is based around the popular theme of magic. Wizard Whimstaff's blend of fun with curriculum-based activities enchants and educates young learners. Children work towards attaining a Wizard's Trophy of Excellence at the end of the book. *Motivating activities based on the KS2 National Curriculum *Step-by-step learning introduced by fun characters *Includes gold stickers to reward achievement
Author: Lynn Huggins-Cooper
Publisher: Letts and Lonsdale
ISBN: 9781843156277
Category : Juvenile Nonfiction
Languages : en
Pages : 36
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Book Description
Little Wizard English covers essential topics from the National Curriculum and is based around the popular theme of magic. Wizard Whimstaff's blend of fun with curriculum-based activities enchants and educates young learners.
