A Path to Modern Mathematics
Author | : Walter Warwick Sawyer |
Publisher | : Harmondsworth, Eng. : Penguin Books |
Total Pages | : 223 |
Release | : 1971 |
Genre | : Mathematics 1961- |
ISBN | : |
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Author | : Walter Warwick Sawyer |
Publisher | : Harmondsworth, Eng. : Penguin Books |
Total Pages | : 223 |
Release | : 1971 |
Genre | : Mathematics 1961- |
ISBN | : |
Author | : Walter W. Sawyer |
Publisher | : Harmondsworth, Eng. : Penguin Books |
Total Pages | : 223 |
Release | : 1971 |
Genre | : Mathematics |
ISBN | : 9780140208474 |
Author | : Gerald Aungst |
Publisher | : Corwin Press |
Total Pages | : 141 |
Release | : 2015-10-09 |
Genre | : Education |
ISBN | : 1506322999 |
Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces
Author | : Ian Stewart |
Publisher | : Courier Corporation |
Total Pages | : 368 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486134954 |
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Author | : Amir Alexander |
Publisher | : Harvard University Press |
Total Pages | : 320 |
Release | : 2011-10-15 |
Genre | : Mathematics |
ISBN | : 0674061748 |
In the fog of a Paris dawn in 1832, variste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.
Author | : Jonathan M. Borwein |
Publisher | : CRC Press |
Total Pages | : 372 |
Release | : 2004-04-12 |
Genre | : Mathematics |
ISBN | : 1439864195 |
New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of
Author | : David Eugene Smith |
Publisher | : Prabhat Prakashan |
Total Pages | : 75 |
Release | : 1906-01-01 |
Genre | : Mathematics |
ISBN | : |
Author | : Ivars Peterson |
Publisher | : Macmillan |
Total Pages | : 273 |
Release | : 1998-04-15 |
Genre | : Mathematics |
ISBN | : 0805071598 |
In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.
Author | : W. W. Sawyer |
Publisher | : Courier Corporation |
Total Pages | : 228 |
Release | : 2012-04-19 |
Genre | : Mathematics |
ISBN | : 0486152774 |
This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.
Author | : Edna Ernestine Kramer |
Publisher | : Princeton University Press |
Total Pages | : 790 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 9780691023724 |
Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.