Basic Mathematics Problem Seminar

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A Problem Seminar

Author : D.J. Newman
Publisher : Springer Science & Business Media
ISBN 13 : 1461382149
Total Pages : 118 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis A Problem Seminar by : D.J. Newman

Download or read book A Problem Seminar written by D.J. Newman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: There was once a bumper sticker that read, "Remember the good old days when air was clean and sex was dirty?" Indeed, some of us are old enough to remember not only those good old days, but even the days when Math was/un(!), not the ponderous THEOREM, PROOF, THEOREM, PROOF, . . . , but the whimsical, "I've got a good prob lem. " Why did the mood change? What misguided educational philoso phy transformed graduate mathematics from a passionate activity to a form of passive scholarship? In less sentimental terms, why have the graduate schools dropped the Problem Seminar? We therefore offer "A Problem Seminar" to those students who haven't enjoyed the fun and games of problem solving. CONTENTS Preface v Format I Problems 3 Estimation Theory 11 Generating Functions 17 Limits of Integrals 19 Expectations 21 Prime Factors 23 Category Arguments 25 Convexity 27 Hints 29 Solutions 41 FORMAT This book has three parts: first, the list of problems, briefly punctuated by some descriptive pages; second, a list of hints, which are merely meant as words to the (very) wise; and third, the (almost) complete solutions. Thus, the problems can be viewed on any of three levels: as somewhat difficult challenges (without the hints), as more routine problems (with the hints), or as a textbook on "how to solve it" (when the solutions are read). Of course it is our hope that the book can be enjoyed on any of these three levels.

Making Math Workshop Work

Author : Middle School Math Man
Publisher :
ISBN 13 : 9781724919977
Total Pages : 66 pages
Book Rating : 4.9/5 (199 download)

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Book Synopsis Making Math Workshop Work by : Middle School Math Man

Download or read book Making Math Workshop Work written by Middle School Math Man and published by . This book was released on 2018-12-31 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you looking to find a way to reach all of your students every day? Teacher and education blogger, Alex O'Connor, shares his practical, classroom-tested strategies to implement math workshop in the classroom. This book includes everything you need to get math workshop started in your classroom.

A Seminar on Graph Theory

Author : Frank Harary
Publisher : Courier Dover Publications
ISBN 13 : 0486796841
Total Pages : 129 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis A Seminar on Graph Theory by : Frank Harary

Download or read book A Seminar on Graph Theory written by Frank Harary and published by Courier Dover Publications. This book was released on 2015-07-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.

Problem-Solving Through Problems

Author : Loren C. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 322 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Problem-Solving Through Problems by : Loren C. Larson

Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

The Vienna Circle

Author : Friedrich Stadler
Publisher : Springer
ISBN 13 : 3319165615
Total Pages : 702 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Vienna Circle by : Friedrich Stadler

Download or read book The Vienna Circle written by Friedrich Stadler and published by Springer. This book was released on 2015-05-08 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: This abridged and revised edition of the original book (Springer-Wien-New York: 2001) offers the only comprehensive history and documentation of the Vienna Circle based on new sources with an innovative historiographical approach to the study of science. With reference to previously unpublished archival material and more recent literature, it refutes a number of widespread clichés about "neo-positivism" or "logical positivism". Following some insights on the relation between the history of science and the philosophy of science, the book offers an accessible introduction to the complex subject of "the rise of scientific philosophy” in its socio-cultural background and European philosophical networks till the forced migration in the Anglo-Saxon world. The first part of the book focuses on the origins of Logical Empiricism before World War I and the development of the Vienna Circle in "Red Vienna" (with the "Verein Ernst Mach"), its fate during Austro-Fascism (Schlick's murder 1936) and its final expulsion by National-Socialism beginning with the "Anschluß" in 1938. It analyses the dynamics of the Schlick-Circle in the intellectual context of "late enlightenment" including the minutes of the meetings from 1930 on for the first time published and presents an extensive description of the meetings and international Unity of Science conferences between 1929 and 1941. The chapters introduce the leading philosophers of the Schlick Circle (e.g., Hans Hahn, Otto Neurath, Rudolf Carnap, Philipp Frank, Felix Kaufmann, Edgar Zilsel) and describe the conflicting interaction between Moritz Schlick and Otto Neurath, the long term communication between Moritz Schlick, Friedrich Waismann and Ludwig Wittgenstein, as well as between the Vienna Circle with Heinrich Gomperz and Karl Popper. In addition, Karl Menger's "Mathematical Colloquium" with Kurt Gödel is presented as a parallel movement. The final chapter of this section describes the demise of the Vienna Circle and the forced exodus of scientists and intellectuals from Austria. The second part of the book includes a bio-bibliographical documentation of the Vienna Circle members and for the first time of the assassination of Moritz Schlick in 1936, followed by an appendix comprising an extensive list of sources and literature.

Challenges in Basic Mathematics Education

Author :
Publisher : UNESCO
ISBN 13 : 9230010715
Total Pages : 93 pages
Book Rating : 4.2/5 (3 download)

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Book Synopsis Challenges in Basic Mathematics Education by :

Download or read book Challenges in Basic Mathematics Education written by and published by UNESCO. This book was released on 2012 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Mindsets

Author : Jo Boaler
Publisher : John Wiley & Sons
ISBN 13 : 1118415531
Total Pages : 320 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Mathematical Mindsets by : Jo Boaler

Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Putnam and Beyond

Author : Răzvan Gelca
Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Street-Fighting Mathematics

Author : Sanjoy Mahajan
Publisher : MIT Press
ISBN 13 : 0262265591
Total Pages : 152 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Street-Fighting Mathematics by : Sanjoy Mahajan

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.

The Art of Problem Solving, Volume 1

Author : Sandor Lehoczky
Publisher : Mitchell Beazley
ISBN 13 : 9780977304561
Total Pages : 0 pages
Book Rating : 4.3/5 (45 download)

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Book Synopsis The Art of Problem Solving, Volume 1 by : Sandor Lehoczky

Download or read book The Art of Problem Solving, Volume 1 written by Sandor Lehoczky and published by Mitchell Beazley. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: " ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover

Introduction to Counting and Probability

Author : David Patrick
Publisher :
ISBN 13 : 9781934124109
Total Pages : 0 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Introduction to Counting and Probability by : David Patrick

Download or read book Introduction to Counting and Probability written by David Patrick and published by . This book was released on 2007-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Resources in Education

Author :
Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Resources in Education by :

Download or read book Resources in Education written by and published by . This book was released on 2001 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How Numbers Work

Author : New Scientist
Publisher : John Murray
ISBN 13 : 1473629756
Total Pages : 228 pages
Book Rating : 4.4/5 (736 download)

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Book Synopsis How Numbers Work by : New Scientist

Download or read book How Numbers Work written by New Scientist and published by John Murray. This book was released on 2018-03-21 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Think of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIES New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

Mastering the Basic Math Facts in Multiplication and Division

Author : Susan O'Connell
Publisher : Heinemann Educational Books
ISBN 13 : 9780325029627
Total Pages : 0 pages
Book Rating : 4.0/5 (296 download)

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Book Synopsis Mastering the Basic Math Facts in Multiplication and Division by : Susan O'Connell

Download or read book Mastering the Basic Math Facts in Multiplication and Division written by Susan O'Connell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an approach to teaching basic math facts to young students, featuring instructional strategies, tips, and classroom activities. Includes a CD-ROM with customizable activities, templates, recording sheets, and teacher tools.

Mathematical Problem Solving

Author : ALAN H. SCHOENFELD
Publisher : Elsevier
ISBN 13 : 1483295486
Total Pages : 426 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Mathematical Writing

Author : Donald E. Knuth
Publisher : Cambridge University Press
ISBN 13 : 9780883850633
Total Pages : 132 pages
Book Rating : 4.8/5 (56 download)

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Book Synopsis Mathematical Writing by : Donald E. Knuth

Download or read book Mathematical Writing written by Donald E. Knuth and published by Cambridge University Press. This book was released on 1989 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will help those wishing to teach a course in technical writing, or who wish to write themselves.

Birth of a Theorem

Author : Cédric Villani
Publisher : Macmillan + ORM
ISBN 13 : 0374710236
Total Pages : 260 pages
Book Rating : 4.3/5 (747 download)

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Book Synopsis Birth of a Theorem by : Cédric Villani

Download or read book Birth of a Theorem written by Cédric Villani and published by Macmillan + ORM. This book was released on 2015-04-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of aTheorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of aTheorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of aTheorem, Cédric Villani welcomes you into his.