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Towards a Warm Math is comprised of works that mingle strategies and forms borrowed from the hard-edged fields of science, mathematics, and technology with qualities and approaches that are more expressly humanistic.
Paul Laffoley is a Visionary artist who lives and works in a tiny space in Boston he calls "the Boston Visionary Cell." A trained architect, Laffoley produces brilliantly colored mandala paintings filled with symbols and texts. Each painting is accompanied by a tex called a "thought-form," which serves as commentary on the painting's content. The paintings--many of them large (73 x 73 inches)--have titles that range from the paranormal and arcane ("The Ectoplasmic Man," "The Sexuality of Robots") to the erudite: "De Rerum Natura," referring to the poet Lucretius. Laffoley is interested in "the mechanics of mysticism," time and space, dreams, magic, and consciousness. In addition to painting, he has also designed a time machine and a prayer gun. This book collects what Laffoley and his gallerist, Douglas Walla, see as "the essential works"--94 color plates w/91 attendant thought-forms. It also includes an introduction by Walla, a biography of Laffoley by artist Steven Moskowitz, and essays by two scholars. Linda Dalrymple Henderson (University of Texas at Austin, Art History) is a renowned expert on Henri Bergson, Duchamp, the art/science juncture, and "the fourth dimension." Arielle Saiber (associate professor of Italian, Bowdoin College) analyzes one Laffoley's major works: Dante's 'Divine Comedy' Triptych.
In this resource, Laney Sammons, author of Guided Math, delves into the strategies necessary to effectively implement the Guided Math Framework. It provides specific strategies for implementing the seven elements of the Guided Math Framework. In addition, this 344-page professional resource includes a Teacher Resource CD, sample lessons, activities, and classroom snapshots of strategy implementation at three grade level spans: K-2, 3-5, and 6-8. Strategies for Implementing Guided Math is correlated to the Common Core State Standards and aligned to the interdisciplinary themes from the Partnership for 21st Century Skills. 304pp.
This book focusses on teaching and learning in elementary and middle school mathematics and suggests practices for teachers to help children be successful mathematical thinkers. Contributions from diverse theoretical and disciplinary perspectives are explored. Topics include the roles of technology, language, and classroom discussion in mathematics learning, the use of creativity, visuals, and teachers’ physical gestures to enhance problem solving, inclusive educational activities to promote children’s mathematics understanding, how learning in the home can enhance children’s mathematical skills, the application of mathematics learning theories in designing effective teaching tools, and a discussion of how students, teachers, teacher educators, and school boards differentially approach elementary and middle school mathematics. This book and its companion, Mathematical Cognition and Understanding, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.
Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Last May, Gwen Singer's heart stopped. She's many things, a high school senior, a recovering bulimic, suffering from an anxiety disorder, lost?but aren't we all in a way? She spent her summer without friends and without any kind of plug-in to the outside world. Now, going into her last year of high school, she doesn't really know what to do or where to go. She's best friend?less. They broke apart after things went severely downhill last year. She's boyfriendless. He's ancient history. Add in an estranged father, and it's easy to see why she feels so lost. Gwen is just getting settled in when her older sister shows up again after a two-year absence, engaged to be married and acting as if nothing has happened. But there's something that comes along with her reappearance that becomes not only beneficial to Gwen's recovery and next stages of life, but utterly and completely definable.
This proceedings volume widely surveys new problems, methods and techniques in mathematical physics. The 22 original papers featured are of great interest to various areas of applied mathematics. They are presented in honour of Professor Salvatore Rionero 70th birthday.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Stereotypically, science and emotion are diametric opposites: one is cold and unfeeling, the other soft and nebulous; one is based on proven facts while the other is based on inexplicable feelings and “never the twain shall meet,” until now. John Gottman delves into the unquantifiable realm of love, armed with science and logic, and emerges with the knowledge that relationships can be not only understood, but also predicted as well. Based on research done at his Love Lab and other laboratories, Gottman has discovered that the future of love relationships can be predicted with a startling 91% success rate. These predictions can help couples to prevent disasters in their relationships, recognize the signs of a promising relationship, and perhaps more importantly, recognize the signs of a doomed one. Principia Amoris also introduces Love Equations, a mathematical modeling of relationships that helps understand predictions. Love Equations are powerful tools that can prevent relationship distress and heal ailing relationships. Readers learn about the various research and studies that were done to discover the science behind love, and are treated to a history of the people, ideas, and events that shaped our current understanding. They also learn about: • The “Four Horsemen of the Apocalypse” • 45 natural principles of love • 5 couple types • 5 recipes for good relationships • And much more! Just as science helped us to understand the physical world, it is helping us to understand the emotional world as well. Using the insights in this book, mental health professionals can meaningfully help their distressed clients, as well as better understand why a relationship is failing or succeeding. Appropriate for the curious non-mental health professional as well, Principia Amoris is a must-have on any bookshelf!
This instructional math framework provides an environment for mathematics that fosters mathematical thinking and understanding while meeting the needs of all students. Educators will learn how to effectively utilize small-group and whole-group instruction, manipulatives, math warm-ups, and math workshop to engage students in connecting mathematics to their own lives. Maximize the impact of your instruction with ideas for using ongoing assessment and differentiation strategies. This second edition resource provides practical guidance and sample lessons for grade-level bands K-2, 3-5, 6-8, and 9-12. Promote a classroom environment of numeracy and mathematical discourse with this essential professional resource for K-12 math teachers!
A straightforward, enjoyable guide to the mathematics of Einstein's relativity To really understand Einstein's theory of relativity – one of the cornerstones of modern physics – you have to get to grips with the underlying mathematics. This self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. With a user-friendly style, clear step-by-step mathematical derivations, many fully solved problems and numerous diagrams, this book provides a comprehensive introduction to a fascinating but complex subject. For those with minimal mathematical background, the first chapter gives a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes, relativistic cosmology and gravitational waves. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. "I must observe that the theory of relativity resembles a building consisting of two separate stories, the special theory and the general theory. The special theory, on which the general theory rests, applies to all physical phenomena with the exception of gravitation; the general theory provides the law of gravitation and its relations tothe other forces of nature." – Albert Einstein, 1919 Understand even the basics of Einstein's amazing theory and the world will never seem the same again. Contents: Preface Introduction 1 Foundation mathematics 2 Newtonian mechanics 3 Special relativity 4 Introducing the manifold 5 Scalars, vectors, one-forms and tensors 6 More on curvature 7 General relativity 8 The Newtonian limit 9 The Schwarzschild metric 10 Schwarzschild black holes 11 Cosmology 12 Gravitational waves Appendix: The Riemann curvature tensor Bibliography Acknowledgements January 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.