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| Author | : Denis Sheeran |
| Publisher | : |
| Total Pages | : 164 |
| Release | : 2018-03-15 |
| Genre | : Education |
| ISBN | : 9781948212038 |
In Hacking Mathematics, teacher, author, and math consultant Denis Sheeran shows you how to hack your instructional approach and assessment procedures, in order to promote an amazing culture of mathematical inquiry and engagement that very few students ever see.
| Author | : Elizabeth de Freitas |
| Publisher | : Cambridge University Press |
| Total Pages | : 301 |
| Release | : 2017-06-22 |
| Genre | : Psychology |
| ISBN | : 1108210783 |
Responding to widespread interest within cultural studies and social inquiry, this book addresses the question 'what is a mathematical concept?' using a variety of vanguard theories in the humanities and posthumanities. Tapping historical, philosophical, sociological and psychological perspectives, each chapter explores the question of how mathematics comes to matter. Of interest to scholars across the usual disciplinary divides, this book tracks mathematics as a cultural activity, drawing connections with empirical practice. Unlike other books in this area, it is highly interdisciplinary, devoted to exploring the ontology of mathematics as it plays out in different contexts. This book will appeal to scholars who are interested in particular mathematical habits - creative diagramming, structural mappings, material agency, interdisciplinary coverings - that shed light on both mathematics and other disciplines. Chapters are also relevant to social sciences and humanities scholars, as each offers philosophical insight into mathematics and how we might live mathematically.
| Author | : Richard Cochrane |
| Publisher | : Cassell |
| Total Pages | : 367 |
| Release | : 2018-04-05 |
| Genre | : Mathematics |
| ISBN | : 1788400445 |
Everything you need to know about 100 key mathematical concepts condensed into easy-to-understand sound bites designed to stick in your memory and give you an instant grasp of the concept. On each topic, you'll start with a helicopter overview of the subject, which will give you an introduction to the idea and some context surrounding it. Next, you'll zoom in on the core elements of the theory, with clear explanation of each point to make sure you really understand the concept, along with simple examples that everyone can follow. Finally, you'll be given a one-liner hack to really make the theory stick in your mind. The perfect introduction to algebra, logic, probability and much more, this is a great new way to learn about the most important mathematical ideas and concepts in a way that makes them easy to recall even months after reading the book. Topics covered include: Numbers Algebra Logic Geometry Probability Computer science Applied mathematics Mechanics Statistics Set Theory
| Author | : Bruce Shapiro |
| Publisher | : |
| Total Pages | : 480 |
| Release | : 2015-08-09 |
| Genre | : |
| ISBN | : 9780692498552 |
Second edition, full color, revised with corrections. (A black and white version is also available at a significantly lower cost, if desired, with the same content.) Computers are wonderful things. They improve our lives and produce works of art. Information and communication are free and available in ways that were undreamed of by many a generation ago. And yet computers inspire fear when they are used improperly or misunderstood. Everyone uses computers today. The typical student uses at least three: a portable notebook computer, a tablet, and a cell phone. None of these even existed before this year's college graduating class was born. So a reasonable amount of computer literacy is expected of everyone these days. Though inspired by mathematics, much of the mathematical beauty of computation is largely ignored by both elementary computer science and introductory programming books. This book is designed to help math junkies - anyone who likes math, studies math, or uses math in their daily life - learn about computation. The emphasis is on algorithms. It is appropriate for students with no prior programming experience as well as professional scientists. Contents: Python programs, iPython notebooks, expressions, statements, types, lists, arrays, functions, classes, plotting, list comprehension, recursion. Applications include linear systems, computational geometry, root finding, interpolation, polynomial least squares, discrete systems, differential equations, principal component analysis, singular value decomposition, fractals, chaos, and satellite orbit propagation. Also covers numpy, plotting with pyplot, and basics maps with basemap. Now includes more than 200 exercises for students. Target audience: undergraduate math and science students entering their upper level curriculum. Calculus and some linear algebra background is helpful; a review of linear algebra is included as an appendix. No prior programming experience is expected
| Author | : Ian Hacking |
| Publisher | : Cambridge University Press |
| Total Pages | : 307 |
| Release | : 2014-01-30 |
| Genre | : Mathematics |
| ISBN | : 1107050170 |
Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
| Author | : Bharath Sriraman |
| Publisher | : Springer Nature |
| Total Pages | : 3221 |
| Release | : |
| Genre | : |
| ISBN | : 3031408462 |
| Author | : Bart van Kerkhove |
| Publisher | : World Scientific |
| Total Pages | : 248 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 9812812229 |
This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.
| Author | : Andrew Hacker |
| Publisher | : New Press, The |
| Total Pages | : 257 |
| Release | : 2010-05-25 |
| Genre | : Education |
| ISBN | : 1620970694 |
A New York Times–bestselling author looks at mathematics education in America—when it’s worthwhile, and when it’s not. Why do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? While Andrew Hacker has been a professor of mathematics himself, and extols the glories of the subject, he also questions some widely held assumptions in this thought-provoking and practical-minded book. Does advanced math really broaden our minds? Is mastery of azimuths and asymptotes needed for success in most jobs? Should the entire Common Core syllabus be required of every student? Hacker worries that our nation’s current frenzied emphasis on STEM is diverting attention from other pursuits and even subverting the spirit of the country. Here, he shows how mandating math for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics. Expanding upon the author’s viral New York Times op-ed, The Math Myth is sure to spark a heated and needed national conversation—not just about mathematics but about the kind of people and society we want to be. “Hacker’s accessible arguments offer plenty to think about and should serve as a clarion call to students, parents, and educators who decry the one-size-fits-all approach to schooling.” —Publishers Weekly, starred review
| Author | : Matteo Vagelli |
| Publisher | : Springer Nature |
| Total Pages | : 223 |
| Release | : |
| Genre | : |
| ISBN | : 3031615557 |
| Author | : Ian Hacking |
| Publisher | : Cambridge University Press |
| Total Pages | : 212 |
| Release | : 2014-01-30 |
| Genre | : Science |
| ISBN | : 1107729823 |
This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.
