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Perfecting Mathematical Reasoning
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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg
Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin Press. This book was released on 2014-05-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.
Book Synopsis The Principles of Mathematics by : Bertrand Russell
Download or read book The Principles of Mathematics written by Bertrand Russell and published by . This book was released on 1903 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Basic Logic by : Richard L. Mendelsohn
Download or read book Basic Logic written by Richard L. Mendelsohn and published by Prentice Hall. This book was released on 1986-10-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for an introductory course in logic, formal logic, or critical reasoning, this thoroughly class-tested text is designed for students who need help in basic skills. Traditional material is presented step-by-step, with extensive exercises in English, in combination with more recent material on recognizing and analyzing arguments.
Book Synopsis The Nature of Mathematical Thinking by : Robert J. Sternberg
Download or read book The Nature of Mathematical Thinking written by Robert J. Sternberg and published by Routledge. This book was released on 2012-10-12 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.
Book Synopsis Helping Children Learn Mathematics by : National Research Council
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Book Synopsis Bulletin by : United States. Office of Education
Download or read book Bulletin written by United States. Office of Education and published by . This book was released on 1911 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The American Report by : International Commission on the Teaching of Mathematics
Download or read book The American Report written by International Commission on the Teaching of Mathematics and published by . This book was released on 1911 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reports from each committee have a distinctive title: I and II - Mathematics in the elementary schools of the United States; III and IV - Mathematics in the public and private secondary schools of the United States; V - Training of teachers of elementary and secondary mathematics; VI - Mathematics in the technical secondary schools in the United States; VII - Examinations in mathematics other than those set by the teacher for his own classes; VIII - Influences tending to improve the work of the teacher of mathematics; IX - Mathematics in the technological schools of collegiate grade in the United States; X - Undergraduate work in mathematics in colleges of liberal arts and universities; XI - Mathematics at West Point and Annapolis; XII - Graduate work in mathematics in Universities and in other institutions of like grade in the United States. Main report entitled: Report of the American Commissioners of the International Commission on the Teaching of Mathematics.
Download or read book School Science and Mathematics written by and published by . This book was released on 1920 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematics Teacher written by and published by . This book was released on 1915 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Preparing for the ACT Mathematics & Science Reasoning by : Dr. Robert D. Postman
Download or read book Preparing for the ACT Mathematics & Science Reasoning written by Dr. Robert D. Postman and published by Perfection Learning. This book was released on 2011-09-09 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prepare students for the Mathematics and Science Reasoning tests of the ACT Assessment. Thorough review and guided practice make the math portion suitable for classroom use.
Book Synopsis What is Mathematics? by : Richard Courant
Download or read book What is Mathematics? written by Richard Courant and published by . This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
Book Synopsis GED Test For Dummies by : Murray Shukyn
Download or read book GED Test For Dummies written by Murray Shukyn and published by John Wiley & Sons. This book was released on 2017-01-12 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Score high on the GED Test In today's job environment, it's usually the better-educated person who gets the position, promotion, or raise. Scoring high on the GED Test can give you an edge over the competition—whether it's to get a brand-new job or advance in the one you already have. If you're preparing for the exam and want to increase your odds of scoring higher, GED Test For Dummies gets you up and running with everything you need to know for test day. Inside, you'll find valuable, easy-to-digest information for navigating your way through tests on Language Arts, Social Studies, Mathematical Reasoning, and Science. Whether you're looking to perfect your grammar and punctuation skills, put the social in your studies, take the fear out of math and science, get familiar with different types of fiction and nonfiction passages, or answer every multiple-choice question with confidence, GED Test For Dummies makes it not only possible, but easy for you to score high on this life-changing exam. Fully updated to reflect the latest version of the GED test Includes two full-length practice tests with answers and detailed explanations Provides vital information and test-taking tips to help maximize your score Includes special considerations for those whose first language isn't English Feel good about yourself knowing that you accomplished something amazing. Get GED Test For Dummies and put yourself on the road to greater success.
Book Synopsis Daily Math Stretches: Building Conceptual Understanding Levels K-2 by : Sammons, Laney
Download or read book Daily Math Stretches: Building Conceptual Understanding Levels K-2 written by Sammons, Laney and published by Shell Education. This book was released on 2017-03-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jumpstart your students’ minds with daily warm-ups that get them thinking mathematically and ready for instruction. Daily Math Stretches offers practice in algebraic thinking, geometry, measurement, and data for grades K-2 to provide an early foundation for mastering mathematical learning. Written by Guided Math’s author Laney Sammons and with well-known, research-based approaches, this product provides step-by-step lessons, assessment information, and a snapshot of how to facilitate these math discussions in your classroom. Digital resources are also included for teacher guidance with management tips, classroom set-up tips, and interactive whiteboard files for each stretch.
Download or read book Plato's Ghost written by Jeremy Gray and published by Princeton University Press. This book was released on 2008-09-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.
Book Synopsis GED Test 2022 / 2023 For Dummies with Online Practice by : Tim Collins
Download or read book GED Test 2022 / 2023 For Dummies with Online Practice written by Tim Collins and published by John Wiley & Sons. This book was released on 2022-01-05 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything you need to succeed on the GED Test, plus a bonus mobile app for on-the-go study and practice! Prepare to do your best on the GED Test! Get the review and practice materials you need to take – and slay – the exam with confidence. GED Test 2022/2023 For Dummies with Online Practice provides an in-depth overview and deep content review for all test sections. You'll be able to answer GED practice questions for each subject area, plus you'll have access to two complete practice exams in the book and in the companion mobile app! Get ready to succeed on test day and get on your way to achieving your goals with this GED study guide that shares test-taking strategies for all the subjects covered on the exam. You’ll find clear information for hands-on learning. GED Test 2022/2023 For Dummies with Online Practice supports you in meeting your goals. This easy-to-use guide can help you get a higher score and earn your GED. Improve grammar and punctuation skills Get comfortable with the types of reading passages on the test Gain confidence in solving math and science problems Study for Mathematical Reasoning, Social Studies, Science, and Reasoning Through Language Arts questions The book also connects you to the GED Test 2022/2023 For Dummies with Online Practice mobile app with two practice tests. Whether you're using the app or the book, you'll have GED practice for passing the four subject exams, which cover Math, Language Arts, Science, and Social Studies.
Download or read book Order and Organism written by Murray Code and published by SUNY Press. This book was released on 1985-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is now needed is a way of thinking about the physical that is realistic in outlook but which departs radically from the mechanistic post-Galilean tradition. Since it seems clear that we can no longer take for granted the certainty and absolute objectivity of scientific knowledge, any alternative view must be able to do full justice to subjective modes of knowing. Order and Organism shows how Alfred North Whitehead's thought can reconcile some of the most insistent demands of common sense with the esoteric results of modern physics and mathematics. Whitehead shows a way to resolve the perennial puzzle of why mathematics works. Under his view, it is possible to account for the necessity and uniqueness of mathematical theories without denying the fact that such theories often arise from the mathematician's essentially aesthetic interest in various kinds of pattern.
Book Synopsis Catharine Trotter Cockburn by : Catharine Trotter Cockburn
Download or read book Catharine Trotter Cockburn written by Catharine Trotter Cockburn and published by Broadview Press. This book was released on 2006-06-20 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important thinker who contributed to eighteenth-century debates in epistemology, metaphysics, and ethics, Catharine Trotter Cockburn pursued the life of a dramatist and essayist, despite the prevailing social, cultural, and moral prescriptions of her day. Cockburn’s philosophical writings were polemical pieces in defence of such philosophers as John Locke and Samuel Clarke, in which she grappled with the moral and theological questions that concerned them and produced her own unique answers to those questions. Her works are interesting both for their approach to philosophical issues that continue to be debated today and for the way that they inform our understanding of the early-modern period.
