Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.

    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    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.

    He turned out to be a born storyteller.The adventures of Beremiz Samir, The Man Who Counted, take the reader on an exotic journey in which, time and again, he summons his extraordinary mathematical powers to settle disputes, give wise advice, overcome dangerous enemies, and win for himself fame and fortune. as we accompany him, we learn much of the history of famous mathematicisns who preceded him; we undergo a series of trials at the hands of the wise men of the day; and we come to admire the warm wisdom and patience that earn him the respect and affection of those whose problems he resolves so astutely. In the grace of their telling, these stories hold unusual delights for the reader.

    But in our zeal to instill the evaluation process with scientific rigor, we've gone from measuring performance to fixating on measuring itself. The result is a tyranny of metrics that threatens the quality of our lives and most important institutions. In this timely and powerful book, Jerry Muller uncovers the damage our obsession with metrics is causing--and shows how we can begin to fix the problem.Filled with examples from education, medicine, business and finance, government, the police and military, and philanthropy and foreign aid, this brief and accessible book explains why the seemingly irresistible pressure to quantify performance distorts and distracts, whether by encouraging "gaming the stats" or "teaching to the test." That's because what can and does get measured is not always worth measuring, may not be what we really want to know, and may draw effort away from the things we care about. Along the way, we learn why paying for measured performance doesn't work, why surgical scorecards may increase deaths, and much more. But metrics can be good when used as a complement to--rather than a replacement for--judgment based on personal experience, and Muller also gives examples of when metrics have been beneficial.Complete with a checklist of when and how to use metrics, The Tyranny of Metrics is an essential corrective to a rarely questioned trend that increasingly affects us all.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    He shows you how to create an amazing learning environment that actually makes discipline, rules and consequences obsolete, no matter if you're a new teacher or a 30-year veteran teacher. Teachers they make movies about are innovative, engaging, and beloved Hacking Classroom Management is about putting the F word--FUN--into your teaching, and Mike Roberts shows you how to do this, while meeting your standards and teaching your curriculum.  Hacking Classroom Management shows you how to Build lasting relationships with your students Maximize teaching time Reduce behavior issues Enhance student ownership Improve parental involvement Experts love the Movie Teacher philosophy "No matter what grade you teach, there’s something of great value inside. Two Big Thumbs UP!" -Alan Sitomer, CA Teacher of the Year and Author of Short Writes"Immensely fun and illuminating to read!" -Jeffery D. Wilhelm, Distinguished Professor of English Education at Boise State University"Hollywood might not make a movie about you, even if you read and apply every suggestion in this book, but you and your students are much more likely to feel like classroom stars because of it." -Chris Crowe, English Professor at BYU, Past President of ALAN, author of Death Coming Up the Hill, Getting Away with Murder: The True Story of the Emmett Till Case; Mississippi Trial, 1955; and many other YA booksWave Goodbye to classroom management issuesGrab Hacking Classroom Management today, become a movie teacher tomorrow, and forget about classroom management FOREVER!

    To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, and award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires - such as for play, beauty, freedom, justice, and love - and cultivates virtues essential for human flourishing.These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's and Christopher Jackson, who discovered mathematics as an inmate in a federal prison.Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can - and must - be open to all.PLEASE NOTE: If purchasing this title in the Audible version, the accompanying PDF will be available in your Audible Library along with the audio.RUNNING TIME ⇒ 6hrs. and 52mins.©2020 Francis Edward Su (P)2020 Tantor

    then, by golly, stick a tiara on your head and go teach something!" Do you wish that you had the chance to sit down with a seasoned homeschooling veteran over a cup of tea and ask every question that comes to mind? Mother of seven and twelve year homeschooling veteran Rebecca Frech is the common-sense voice of experience and reassurance that you've been hoping to find. Teaching in Your Tiara is a soup-to-nuts homeschooling book that walks you through the first years - deciding that home education is right for your family, choosing the right curriculum, understanding learning styles, not raising socially awkward kids, maintaining your own identity, and more. Whether you're the parent who's already committed to homeschooling or you're just dipping your toe into the pool of consideration, this book is for you! Rebecca's logic, honesty, and humor will leave you both amused and well-informed about the realities of homeschooling and what it could mean for your family.

    So why aren't students laser-focused on taking practice exams before attempting the real thing? Reflects the current PMP exam format and the PMBOK(r) Guide - Fifth Edition! The practice tests in this book are designed to help students adjust to the pace, subject matter, and difficulty of the real Project Management Professional (PMP) exam. Geared towards anyone preparing for the exam, all tests include clear solutions to help you understand core concepts. If you plan on passing the PMP exam, it's time to test your knowledge. It's time for PMP Exam Prep - Questions, Answers, & Explanations. Now packed with Over 1,000 realistic PMP sample questions to help you pass the exam on your FIRST try. In this book: 1000+ detailed PMP exam practice questions including 18 condensed PMP mock exams that can be completed in one hour; 11 Targeted PMBOK Knowledge Area tests, and detailed solution sets for all PMP questions which include clear explanations and wording, PMBOK Knowledge Area and page references, and reasoning based on the PMBOK Guide - Fifth Edition. Includes FREE PMP exam formula reference sheet! ** For PMP exams AFTER March 2018 **

    It languished in obscurity for centuries until computers came along and made it easy to crunch the numbers. Now, as the foundation of big data, Bayes' formula has become a linchpin of the digital economy.But here's where things get really interesting: Bayes' theorem can also be used to lay odds on the existence of extraterrestrial intelligence; on whether we live in a Matrix-like counterfeit of reality; on the "many worlds" interpretation of quantum theory being correct; and on the biggest question of all: how long will humanity survive?The Doomsday Calculation tells how Silicon Valley's profitable formula became a controversial pivot of contemporary thought. Drawing on interviews with thought leaders around the globe, it's the story of a group of intellectual mavericks who are challenging what we thought we knew about our place in the universe. The Doomsday Calculation is compelling reading for anyone interested in our culture and its future.

    This results in “visible” learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings.Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency.Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    This book will show you how to organise your life, so you are able to get important work done. It will guide you on how to customise different layouts, so the Bullet Journal works for you! The tools you will learn are: Step-by-step process of filling in your journal Setting SMART goals Vision and goal-setting pages Future logs Calendars Collections and trackers Reflections of the day Maintaining a bullet journal doesn’t need to take a lot of your time. Start your new organised life. Click the BUY button NOW!

    It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.