Containing information necessary for teachers to teach math through problem solving, this resource is filled with engaging activities from every strand of mathematics.

    He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

    You multiply something by something, right? Or you're scratching your head, wondering how to compute the odds that your football team will take next Sunday's game. You're pretty sure that involved ratios. The problem is, you can't quite remember.Here you get an adult refresher and real-life context—with examples ranging from how to figure out how many shingles it takes to re-roof the garage to the formula for resizing Mom's tomato sauce recipe for your entire family.Forget higher calculus—you just need an open mind. And with this practical guide, math can stop being scary and start being useful.

    

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    Offering an approach with a visual/graphical emphasis, this text offers a number of examples on the premise that students learn best by doing. This book features an emphasis on interpretation of results and critical thinking over calculations.

    But when Richard Colman adopts his dead sister's daughter, he has no idea how tough life can be.Richard's girlfriend walks out. His business starts losing clients. And there's something terribly wrong with the little girl.Her name is Bernadette, but Richard calls her "Barney". It's a word his own father used to use... a barney, a row, a terrible racket. And Barney is well-named – she never stops screaming. She hammers her head on the floor and the walls. She's adorable, but she doesn't sleep. She cannot talk. She won't even respond to her name.Richard slowly faces the unbearable truth that his little girl is profoundly autistic. And as he prepares for a battle simply to be allowed to keep his child, he's only beginning to find out how tough life can be. Christopher Stevens, the bestselling author of A REAL BOY, draws on painful and intensely personal experiences of raising his own autistic child, to create this compelling story of a single parent who must come to terms with his beloved little girl's autism.AUTHOR'S NOTE: This is a novel. The characters are fictional, though they are very real to me. Many of the events in the story did really happen to my family, following the diagnosis of my younger son with autism. I later wrote a memoir about this intensely emotional and exhausting experience: it was published as A REAL BOY. If you have read this memoir, you might recognise some of the scenes and situations in A GIRL CALLED BARNEY – and if you want to read a strictly factual account, the memoir will better suit your needs. A GIRL CALLED BARNEY is more dramatic, more tragic and less humorous than the later, non-fiction book. I used the novel to express the darker, more frightening emotions that, in real life, we hardly dare admit that we feel.Praise for A REAL BOY, Christopher Stevens's factual account of raising his autistic son:Jane Asher, President of the National Autistic Society"This wonderfully honest book tells us a great deal, not only about autism, but also about the extraordinary tolerance and unselfishness that is borne out of unequivocal love. At the same time, it reveals some uncomfortable truths about the struggle it takes to access the rights of those with disabilities in our so-called civilized society."The Sun, 15 Feb 08"incredibly moving"Daily Mail, February 26, 2008Christopher Stevens writes poignantly about life with his autistic son. It's a moving account of the boy's struggle to cope with a world that confuses him - and the extraordinary leap forward that gave them all hope.Bournemouth Daily Echo, 27th June 08By turns harrowing, humorous and inspirational.About the AuthorChristopher Stevens has been a senior sub-editor at the Observer for fourteen years and is also the author of Born Brilliant, the acclaimed biography of Kenneth Williams; Masters of Sitcom, a celebration of Galton and Simpson; and Thirty Days Has September, the bestselling reference book on Kindle.Born Brilliant was shortlisted for a "Sherry", the Sheridan Morley Theatre Biography Prize. It was adapted and broadcast as a Radio Four Book of the Week.

    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

    Organized by body system, the book presents the latest information on over 100 critical care disorders. Key information is highlighted in numerous quick-scan tables, illustrations, and flow charts, and icons and sidebars draw attention to essential information. Features include a glossary of important critical care terms and an appendix of web resources.

    Packed with powerful, fast-acting techniques – including a novel routine to get any class quiet in 15 seconds or less – this book helps teachers across all age groups connect and succeed with hard-to-reach, reluctant learners.  You’ll d iscover: The simple six-step plan to minimise & deal with classroom behaviour problems How to gain trust & respect from tough, hard-to-reach students How to put an end to power struggles & confrontation How to have students follow your instructions… with no need to repeat yourself The crucial importance of consistency (and how to achieve it) Quick and easy ways to raise engagement and enjoyment in your lessons The ‘Clean Slate’ – a step by step method you can use to ‘start over’ with that particularly difficult group of students who won’t do anything you say. Take Control of the Noisy Class provides hundreds of practical ideas and interventions to end your classroom management struggles & create a thoroughly enjoyable lesson climate for all concerned.

    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C

    A contemporary companion to City Kids, City Teachers: Reports from the Front Row, this new and timely collection has been compiled by four of the country's most prominent urban educators. Contributors including Sandra Cisneros, Jonathan Kozol, Sapphire, and Patricia J. Williams provide some of the best writing on life in city schools and neighborhoods. Young people and practicing teachers, poets and scholars, social critics and journalists offer unique takes on topics ranging from culturally relevant teaching and scripted curricula to the criminalization of youth, gentrification, and the inequities of school funding.In the words of Sonia Nieto, City Kids, City Schools "challenge[s] the conventional wisdom of what it means to teach in urban schools."

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science. He explores the relationship between Newton and Leibniz, the men behind the calculus; looks at how the mathematics that Euler invented 200 years ago paved the way for the internet and discovers how Fourier transformed our understanding of heat, light and sound. In addition, he finds out how Galois’ mathematics describes the particles that make up our universe, how Gaussian distribution underpins modern medicine, and how Riemann’s maths helped Einstein with his theory of relativity. Finally, he introduces Cantor, who discovered infinite numbers; Poincaré, whose work gave rise to chaos theory; G.H. Hardy, whose work inspired the millions of codes that help to keep the internet safe, and Nicolas Bourbaki, the mathematician who never was. The BBC Radio 4 series looking at the people who shaped modern mathematics, written and presented by Marcus du Sautoy. 1 CDs, 150 minutes