Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.

     Blended learning allows a partnership that gives teachers more time and energy to innovate and personalize learning while providing students the opportunity to be active agents driving their own growth. Balance With Blended Learning provides teachers with strategies to actively engage students in setting goals, monitoring development, reflecting on growth, using feedback, assessing work quality, and communicating their progress with parents. It includes Practical strategies for teachers who are overwhelmed by their workloads Vignettes written by teachers across disciplines Ready-to-use templates to help students track their progress Stories from the author's experience as a teacher and blended learning coach

    This practical resource shows teachers how to be effective and have a life! Author and educator Maia Heyck-Merlin explores the key habits of Together Teachers—how they plan ahead, organize work and their classrooms, and how they spend their limited free time. The end goal is always strong outcomes for their students. So what does Together, or Together Enough, look like? To some teachers it might mean neat filing systems. To others it might mean using time efficiently to get more done in fewer minutes. Regardless, Together Teachers all rely on the same skills. In six parts, the book clearly lays out these essential skills. Heyck-Merlin walks the reader through how to establish simple yet successful organizational systems. There are concrete steps that every teacher can implement to achieve greater stability and success in their classrooms and in their lives. Contains templates and tutorials to create and customize a personal organizational system and includes a companion website: www.thetogetherteacher.com Recommends various electronic or online tools to make a teacher's school day (and life!) more efficient and productive Includes a Reader's Guide, a great professional development resource; teachers will answer reflection questions, make notes about habits, and select tools that best match individual needs and preferences Ebook customers can access CD contents online.  Refer to the section in the Table of Contents labeled, Download CD/DVD Content, for detailed instructions.

    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

    Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

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

    The author explains what a classroom number talk is; how to follow students’ thinking and pose the right questions to build understanding; how to prepare for and design purposeful number talks; and how to develop grade-level specific thinking strategies for the operations of addition, subtraction, multiplication, and division. Number Talks includes connections to NCTM’s Principles and Standards for School Mathematics as well as reference tables to help you quickly and easily locate strategies, number talks, and video clips. Includes a Facilitator’s Guide and DVD.

    Kathryn Schulz, editor of Grist magazine, argues that error is the fundamental human condition and should be celebrated as such. Guiding the reader through the history and psychology of error, from Socrates to Alan Greenspan, Being Wrong will change the way you perceive screw-ups, both of the mammoth and daily variety, forever.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    A special emphasis on the needs of new and struggling teachers includes practical actions for earning student respect and teaching them behavior management skills. The author also introduces a real-time coaching model and explains how to establish a schoolwide Assertive Discipline(r) program.

    UDL is a framework for inclusive education that aims to lower barriers to learning and optimize each individual's opportunity to learn. Novak shows how to use the UDL Guidelines to plan lessons, choose materials, assess learning, and improve instructional practice. Novak discusses key concepts such as scaffolding, vocabulary-building, and using student feedback to inform instruction. She also provides tips on recruiting students as partners in the teaching process, engaging their interest in how they learn. UDL Now! is a fun and effective Monday-morning playbook for great teaching.

    Not what was fashionable, not what political and educational vested interests wanted to champion, but what actually produced the best results in terms of improving learning and educational outcomes. It became an instant bestseller and was described by the TES as revealing education's 'holy grail'.Now in this latest book, John Hattie has joined forces with cognitive psychologist Greg Yates to build on the original data and legacy of the Visible Learning project, showing how it's underlying ideas and the cutting edge of cognitive science can form a powerful and complimentary framework for shaping learning in the classroom and beyond.Visible Learning and the Science of How We Learn explains the major principles and strategies of learning, outlining why it can be so hard sometimes, and yet easy on other occasions. Aimed at teachers and students, it is written in an accessible and engaging style and can be read cover to cover, or used on a chapter-by-chapter basis for essay writing or staff development.The book is structured in three parts - 'learning within classrooms', 'learning foundations', which explains the cognitive building blocks of knowledge acquisition and 'know thyself' which explores, confidence and self-knowledge. It also features extensive interactive appendices containing study guide questions to encourage critical thinking, annotated bibliographic entries with recommendations for further reading, links to relevant websites and YouTube clips. Throughout, the authors draw upon the latest international research into how the learning process works and how to maximise impact on students, covering such topics as:teacher personality;expertise and teacher-student relationships;how knowledge is stored and the impact of cognitive load;thinking fast and thinking slow;the psychology of self-control;the role of conversation at school and at home;invisible gorillas and the IKEA effect;digital native theory;myths and fallacies about how people learn. This fascinating book is aimed at any student, teacher or parent requiring an up-to-date commentary on how research into human learning processes can inform our teaching and what goes on in our schools. It takes a broad sweep through findings stemming mainly from social and cognitive psychology and presents them in a useable format for students and teachers at all levels, from preschool to tertiary training institutes.