Worked examples and exercises support the text. An ELBS/LPBB edition is available.

    What will it take to turn this opportunity into reality in every classroom, school, and district? Continuing its tradition of mathematics education leadership, NCTM has defined and described the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students. Principles to Actions: Ensuring Mathematical Success for All offers guidance to teachers, specialists, coaches, administrators, policymakers, and parents: Builds on the Principles articulated in Principles and Standards for School Mathematics to present six updated Guiding Principles for School MathematicsSupports the first Guiding Principle, Teaching and Learning, with eight essential, research-based Mathematics Teaching PracticesDetails the five remaining Principles--the Essential Elements that support Teaching and Learning as embodied in the Mathematics Teaching PracticesIdentifies obstacles and unproductive and productive beliefs that all stakeholders must recognize, as well as the teacher and student actions that characterize effective teaching and learning aligned with the Mathematics Teaching PracticesWith Principles to Actions, NCTM takes the next step in shaping the development of high-quality standards throughout the United States, Canada, and worldwide.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    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.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    The specialities of each individual number, from zero to nine, and the little mathematical tricks as shown by Shakuntala Devi, all combine to make the reader learn to befriend numbers and excel at maths.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Maths is enjoying a resurgence in popularity. So how can you avoid being the only dinner guest who has no idea who Fermat was, or what he proved? The more you know about Maths, the less of a science it becomes. 30 Second Maths takes the top 50 most engaging mathematical theories, and explains them to the general reader in half a minute, using nothing more than two pages, 200 words and one picture. Read at your own pace, and discover that maths can be more fascinating than you ever imagined.

    Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

    Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, so students are expected to interact with it in different ways. These changes need not be mysterious - mathematics education research has revealed many insights into the adjustments that are necessary - but they are not obvious and they do need explaining.This no-nonsense book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time. Part 1 provides an in-depth discussion of advanced mathematical thinking, and explains how a student will need to adapt and extend their existing skills in order to develop a good understanding of undergraduate mathematics. Part 2 covers study skills as these relate to the demands of a mathematics degree. It suggests practical approaches to learning from lectures and to studying for examinations while also allowing time for a fulfilling all-round university experience.The first subject-specific guide for students, this friendly, practical text will be essential reading for anyone studying mathematics at university.

    You will save 33% with this offer. Please hurry up!Have you ever considered signing up to Amazon Prime or Kindle Unlimited? Are you already a member of one of these schemes but want to learn how to make the most of your membership? If so then look no further than this book, which offers readers first-hand advice on the benefits and pitfalls of Amazon Prime, as well as a comprehensive guide to how to make the most of your membership.In today's age it can be a daunting prospect when faced with various different offers, subscriptions and devices to know which will provide the best value for money as well as deliver the most high quality service. As our lives becoming increasingly technological, and we move towards using electronic devices, we face even more choice. These choices can have a significant impact on our finances, and choosing the best option will avoid the risk of signing up to expensive or hard to break contracts.This book includes: Introduction The History of Amazon An Overview of Amazon Prime Amazon Instant Video Prime Music Kindle Unlimited Conclusion Download your copy of "Amazon Prime and Kindle Lending Library" by scrolling up and clicking "Buy Now With 1-Click" button. Tags: Amazon Prime, amazon prime lending library, amazon prime membership, lending library for prime members, lending library, prime lending library, free books, Prime Subscription, Kindle Owners With Amazon Prime, Kindle Owners, Free Ebooks, free TV Series, free Movie, ULTIMATE Guide for Beginners, ULTIMATE Guide, Beginners Guide, Prime Music, Amazon Prime and Kindle Lending Library

    There's no fluff here!Just a easy-to-understand and implement guide that will have you downloading and reading Kindle books in a matter of minutes. All without ever paying a cent.Just because Kindle and e-books are a potential billion dollar business doesn't mean they have to cost you a fortune.There are thousands, even millions, of freely available books for your Kindle available at this very second, you just have to know how to find them. With this guide you will be able to do so like a pro!Great for students and readers of all ages.Grab your copy today and start downloading free kindle books in a matter of minutes!(It may not even take you that long!)****UPDATED FOR AMAZON UK USERS!!!!****

    She's funny, gorgeous and bonkers and when the series starts, she's seriously overweight. She heads for Fat Club and slowly starts to lose weight. The novels tell the tales of the fun she has and the people she meets as she battles the pounds, but as well as having a crazy amount of fun, she also loses weight...a massive 40lbs!! How did she do it? Here in this mini book - for the first time - she describes the rules that helped her. Also included are the stories of readers who have written in to share their weight loss stories. This is a kind approach to weight loss. It's about learning to love yourself as you shift the pounds. It worked for Mary Brown and everyone at Fat Club (even Ted who can't go a day without a bag of chips and thinks a pint isn't a pint without a bag of pork scratchings). I hope it works for you, and I hope you enjoy it, Bernie xx

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    James Bond isn't a secret agent. The funny bone isn't a bone. E-readers like the Kindle were invented in 1949. Slavery has never been more common as it is today. Neanderthals were extremely smart and were able to speak. Vikings invented rap battles. Natural oranges aren't orange. Rats didn't cause the Black Death. Halitosis doesn't exist. Buddhists don't worship Buddha. Everyone mispronounces "Nutella." St. Patrick wasn't Irish. There has never been 50 states in the United States. Selfies aren't a recent fad. They have existed since 1839. Guardian angels aren't mentioned in the Bible. A comatose person can speak and walk around. Nicotine doesn't cause cancer.