Download or read book Street Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
Download or read book Spanish English Comments for Report Cards Notes Going Home Grades K 5 written by and published by Carson-Dellosa Publishing. This book was released on 2005-10-13 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Communicate with Spanish-speaking parents using Spanish and English Comments for Report Cards and Notes Going Home. This resource enables English-speaking educators of grades K–5 to effectively communicate with Spanish-speaking parents. It features English and Spanish comments that convey positive information and make constructive evaluations. This 80-page book includes a Spanish pronunciation guide, a list of basic terms, comments sorted by content area and behaviors, a parent communication log, and reproducibles.
Download or read book Mathematical Analysis II written by Vladimir A. Zorich and published by Krishna Prakashan Media. This book was released on 2010-11-16 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume expounds classical analysis as it is today, as a part of unified mathematics, and its interactions with modern mathematical courses such as algebra, differential geometry, differential equations, complex and functional analysis. The book provides a firm foundation for advanced work in any of these directions.
Download or read book Thinking Stories written by Jackie Scott and published by PRUFROCK PRESS INC.. This book was released on 2005 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines literature and thinking in a unique bilingual instructional format. Including four original stories in English and Spanish, follow-up activities are also provided that relate to the stories and require the use of various thinking techniques. Grades K-3
Download or read book Bilingual Educational Publications in Print written by and published by . This book was released on 1983 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kids Learn Getting Ready for 7th Grade Spanish Support written by Carina Adra and published by Teacher Created Materials. This book was released on 2022-04-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Materials for Bilingual Bicultural Programs written by and published by . This book was released on 1975 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics Readers written by Christine Dugan and published by Teacher Created Materials. This book was released on with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Analysis I written by Vladimir A. Zorich and published by Springer Science & Business Media. This book was released on 2004-01-22 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.
Download or read book Kids Learn Getting Ready for 8th Grade Spanish Support written by Carina Adra and published by Teacher Created Materials. This book was released on 2022-04-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
Download or read book The Math of Life and Death written by Kit Yates and published by Simon and Schuster. This book was released on 2021-04-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Few of us really appreciate the full power of math--the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this ... book, Kit Yates explores the true stories of life-changing events in which the application--or misapplication--of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice; and the unwitting victims of software glitches"--Publisher marketing.
Download or read book Problem Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Download or read book Solving Mathematical Problems written by Terence Tao and published by OUP Oxford. This book was released on 2006-07-28 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.
Download or read book A Frequency Dictionary of Spanish written by Mark Davies and published by Routledge. This book was released on 2017-12-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Frequency Dictionary of Spanish has been fully revised and updated, including over 500 new entries, making it an invaluable resource for students of Spanish. Based on a new web-based corpus containing more than 2 billion words collected from 21 Spanish-speaking countries, the second edition of A Frequency Dictionary of Spanish provides the most expansive and up-to-date guidelines on Spanish vocabulary. Each entry is accompanied with an illustrative example and full English translation. The Dictionary provides a rich resource for language teaching and curriculum design, while a separate CD version provides the full text in a tab-delimited format ideally suited for use by corpus and computational linguistics. With entries arranged both by frequency and alphabetically, A Frequency Dictionary of Spanish enables students of all levels to get the most out of their study of vocabulary in an engaging and efficient way.
Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Download or read book The Emperor s New Mind written by Roger Penrose and published by Oxford Paperbacks. This book was released on 1999-03-04 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Wolf Prize for his contribution to our understanding of the universe, Penrose takes on the question of whether artificial intelligence will ever approach the intricacy of the human mind. 144 illustrations.
