I just wish I had known all of this twelve years ago...'When you speak to the likes of Dylan Wiliam, Doug Lemov, Daisy Christodoulou, Kris Boulton and the Bjorks, you are bound to learn a thing or two. But when he started his Mr Barton Maths Podcast, Craig Barton wasn't expecting to have his whole outlook on teaching and learning turned upside down. How I Wish I'd Taught Maths is the story of an experienced and successful maths teacher's journey into the world of research, and what it looks like in the classroom.Along the way we meet practical, easy-to-implement strategies including Supercharged Worked Examples, Silent Teacher, SSDD problems, low-stakes quizzes, diagnostic questions, Purposeful Practice, self-explanations, harnessing the power of the hypercorrection effect, how to (and how not to) teach problem-solving and much more. No matter your experience, teaching style or favourite number, every maths teacher will find something to think about in this book.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    That's because conferences are the critical, one-to-one teaching that forms the backbone of reading instruction. Conferring with Readers shows you how to confer well and demonstrates why a few moments with students every week can put them on the path to becoming better, more independent readers.Conferring with Readers is a comprehensive guide that shows you how to determine what readers have learned and what they need to practice, then provides suggestions for targeting instruction to meet students' needs. It provides explicit teaching methods for use in effective conferences. You'll learn how to:research a student's use of skills through questions and observationscompliment to support and build upon successesfollow up on prior instruction for accountability and depth of understandingexplain a reading strategy by providing an explicit purpose and contextmodel the strategy to make the invisible brainwork of reading more visibleguide a readerinpracticing the strategylink the strategy to independent reading. Conferring with Readers presents repeatable frameworks for conferences that focus on six specific purposes of reading instruction:matching students to just-right books reinforcing students' strengths supporting students during whole-class studies helping students move from one reading level to the next holding students accountable for previous learning deepening students' conversations about books in order to deepen their thinking. What's more, each purpose is bolstered by an appendix of conference transcripts that support your teaching. With all this plus ideas for planning instruction, keeping records of your conferences, and even conducting group sessions, Conferring with Readers will make a big difference in how you teach reading-helping you feel confident and well equipped to foster each student's growth and independence as a reader.

    More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic.Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.

    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

    Exploring both Jefferson’s interior and public struggles, Randall sheds important light on Jefferson’s thoughts on slavery and his relationship with the slave Sally Hemmings, as well as Revolutionary and diplomatic intrigues.

    Now, two of the world's most eminent thinkers -- University of London physicists David Bohm, a former protege of Einstein's and one of the world's most respected quantum physicists, and Stanford neurophysiologist Karl Pribram, one of the architects of our modern understanding of the brain -- believe that the universe itself may be a giant hologram, quite literally a kind of image or construct created, at least in part, by the human mind. This remarkable new way of looking at the universe explains not only many of the unsolved puzzles of physics, but also such mysterious occurrences as telepathy, out-of-body and near death experiences, "lucid" dreams, and even religious and mystical experiences such as feelings of cosmic unity and miraculous healings.

    A colourfully dressed Bedouin brandishing a sword interrupts Holmes and Watson at their breakfast table. He brings a cryptic warning: stay out of the affairs of his people, or face the consequences. Just as the detecting duo begin unravelling that mystery, they are summoned to Vatican City. Cardinal Tosca, the Pope’s right-hand man, has been murdered at his desk and his translation of an ancient scroll has been stolen from the Papal palace. The great detective and his faithful Watson find themselves battling a fog of secrecy. Rumours swirl about a lost gospel and mysterious packages from Egypt, and whispers of a clandestine group known only as the ‘Unholy Trinity’ grow louder. What was the Bedouin intruder so desperate to hide? Why was Cardinal Tosca’s scroll worth killing for? To find the answer Holmes and Watson must go further than they have ever gone before to uncover a centuries old conspiracy. Does this mystery run too deep for even the world’s most famous detective to unravel? In the first part of the carefully crafted first of the Odyssey of Sherlock Holmes Trilogy, Paul D. Gilbert sends this beloved British sleuth from his native Baker Street over land and sea to solve new mysteries. DISCOVER THESE NEW ADVENTURES OF HOLMES AND WATSON. PERFECT FOR FANS OF THE ORIGINAL AND LOVERS OF CLASSIC MYSTERIES. ALSO BY PAUL GILBERT THE ODYSSEY OF SHERLOCK HOLMES TRILOGY Book 1: SHERLOCK HOLMES AND THE UNHOLY TRINITY Book 2: SHERLOCK HOLMES: THE FOUR-HANDED GAME Book 3: THE ILLUMINATION OF SHERLOCK HOLMES THE LOST FILES OF SHERLOCK HOLMES SERIES Book 1: THE LOST FILES OF SHERLOCK HOLMES Book 2: THE CHRONICLES OF SHERLOCK HOLMES Book 3: THE ANNALS OF SHERLOCK HOLMES STANDALONE NOVEL SHERLOCK HOLMES AND THE GIANT RAT OF SUMATRA

    It remains the one of the most widely read books about science to come out of the twentieth century.(Note: the book was first published in 1934, in German, with the title Logik der Forschung. It was "reformulated" into English in 1959. See Wikipedia for details.)

    Whether you're a student, parent, or teacher, this book is your key to unlocking the aha! moments that make math truly click -- and make learning enjoyable.The book intentionally avoids mindless definitions and focuses on building a deep, natural intuition so you can integrate the ideas into your everyday thinking. Its explanations on the natural logarithm, imaginary numbers, exponents and the Pythagorean Theorem are among the most-visited in the world.The topics in Math, Better Explained include:1. Developing Math Intuition2. The Pythagorean Theorem3. Pythagorean Distance4. Radians and Degrees5. Imaginary Numbers6. Complex Arithmetic7. Exponential Functions & e8. The Natural Logarithm (ln)9. Interest Rates10. Understanding Exponents11. Euler’s Formula12. Introduction To CalculusThe book is written as the author wishes math was taught: with a friendly attitude, vivid illustrations and a focus on true understanding. Learn right, not rote!

    R is one of the most powerful and flexible statistical software packages available, and enables the user to apply a wide variety of statistical methods ranging from simple regression to generalized linear modelling. Statistics: An Introduction using R is a clear and concise introductory textbook to statistical analysis using this powerful and free software, and follows on from the success of the author's previous best-selling title Statistical Computing. * Features step-by-step instructions that assume no mathematics, statistics or programming background, helping the non-statistician to fully understand the methodology. * Uses a series of realistic examples, developing step-wise from the simplest cases, with the emphasis on checking the assumptions (e.g. constancy of variance and normality of errors) and the adequacy of the model chosen to fit the data. * The emphasis throughout is on estimation of effect sizes and confidence intervals, rather than on hypothesis testing. * Covers the full range of statistical techniques likely to be need to analyse the data from research projects, including elementary material like t-tests and chi-squared tests, intermediate methods like regression and analysis of variance, and more advanced techniques like generalized linear modelling. * Includes numerous worked examples and exercises within each chapter. * Accompanied by a website featuring worked examples, data sets, exercises and solutions: http: //www.imperial.ac.uk/bio/research/crawl... Statistics: An Introduction using R is the first text to offer such a concise introduction to a broad array of statistical methods, at a level that is elementary enough to appeal to a broad range of disciplines. It is primarily aimed at undergraduate students in medicine, engineering, economics and biology - but will also appeal to postgraduates who have not previously covered this area, or wish to switch to using R.

    From there, Jonathan Bergmann and Aaron Sams began the flipped classroom-students watched recorded lectures for homework and completed their assignments, labs, and tests in class with their teacher available. What Bergmann and Sams found was that their students demonstrated a deeper understanding of the material than ever before. This is the authors story, and they're confident it can be yours too. Learn what a flipped classroom is and why it works and get the information you need to flip a classroom. You'll also learn the flipped mastery model, where students learn at their own pace-furthering opportunities for personalized education. This simple concept is easily replicable in any classroom, doesn't cost much to implement, and helps foster self-directed learning. Once you flip, you wont want to go back! The International Society for Technology in Education (ISTE) is the trusted source for professional development, knowledge generation, advocacy and leadership for innovation. ISTE is the premier membership association for educators and education leaders engaged in improving teaching and learning by advancing the effective use of technology in PK-12 and teacher education. Home of the National Educational Technology Standards (NETS), the Center for Applied Research in Educational Technology (CARET), and ISTE's annual conference (formerly known as the National Educational Computing Conference, or NECC), ISTE represents more than 100,000 professionals worldwide. We support our members with information, networking opportunities, and guidance as they face the challenge of transforming education. Some of the areas in which we publish are: -Web. 2.0 in the classroom-RSS, podcasts, and more -National Educational Technology Standards (NETS) -Professional development for educators and administrators -Integrating technology into the classroom and curriculum -Safe practices for the Internet and technology -Educational technology for parents

    Temple Grandin called "really helpful for teaching reading to children who are mathematical pattern thinkers..."For the past 70 years students have needed to break the complex code of English without help. This has resulted in low literacy rates and highly educated professionals who cannot spell. The principles taught in Uncovering the Logic of English describe 98% of English words and eliminate the need to guess.Simple answers are given for questions such as:* Why is there a silent final E in have?* Why don't we drop the E in noticeable?* Why is discussion spelled with -sion rather than -tion?As the rules unfold it becomes apparent how this knowledge is vital to reversing the educational crisis that is plaguing America. This slim volume is easy to read and accessible to parents and classroom teachers.

    These 30 short chapters each deal with a particular programming problem drawn from sources as diverse as games and puzzles, intriguing combinatorial tasks, and more familiar areas such as data compression and string matching. Each pearl starts with the statement of the problem expressed using the functional programming language Haskell, a powerful yet succinct language for capturing algorithmic ideas clearly and simply. The novel aspect of the book is that each solution is calculated from an initial formulation of the problem in Haskell by appealing to the laws of functional programming. Pearls of Functional Algorithm Design will appeal to the aspiring functional programmer, students and teachers interested in the principles of algorithm design, and anyone seeking to master the techniques of reasoning about programs in an equational style.

    Whether you want to hunt for truffles in Umbria, walk ancient roads in Rome or simply admire priceless art and architecture, this 9th edition shows you how to unearth the very best experiences.Lonely Planet guides are written by experts who get to the heart of every destination they visit. This fully updated edition is packed with accurate, practical and honest advice, designed to give you the information you need to make the most of your trip. In This Guide: Full-Color architecture, food and activities chapters User-friendly glossaries give you a Who's Who of artists, emporers and saints Top Tips on sustainable travel choices and the very best agriturismi (farmstays)