First Steps for Math Olympians

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Publisher : MAA
ISBN 13 : 9780883858240
Total Pages : 344 pages
Book Rating : 4.8/5 (582 download)

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Book Synopsis First Steps for Math Olympians by : J. Douglas Faires

Download or read book First Steps for Math Olympians written by J. Douglas Faires and published by MAA. This book was released on 2006-12-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

The Contest Problem Book IX

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Publisher : American Mathematical Society
ISBN 13 : 1470454912
Total Pages : 220 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Contest Problem Book IX by : David Wells

Download or read book The Contest Problem Book IX written by David Wells and published by American Mathematical Society. This book was released on 2021-02-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the ninth book of problems and solutions from the American Mathematics Competitions (AMC) contests. It chronicles 325 problems from the thirteen AMC 12 contests given in the years between 2001 and 2007. The authors were the joint directors of the AMC 12 and the AMC 10 competitions during that period. The problems have all been edited to ensure that they conform to the current style of the AMC 12 competitions. Graphs and figures have been redrawn to make them more consistent in form and style, and the solutions to the problems have been both edited and supplemented. A problem index at the back of the book classifies the problems into subject areas of Algebra, Arithmetic, Complex Numbers, Counting, Functions, Geometry, Graphs, Logarithms, Logic, Number Theory, Polynomials, Probability, Sequences, Statistics, and Trigonometry. A problem that uses a combination of these areas is listed multiple times. The problems on these contests are posed by members of the mathematical community in the hope that all secondary school students will have an opportunity to participate in problem-solving and an enriching mathematical experience.

Index to Mathematical Problems, 1975-1979

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Author :
Publisher : MathPro Press
ISBN 13 : 9780962640124
Total Pages : 548 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis Index to Mathematical Problems, 1975-1979 by : Stanley Rabinowitz

Download or read book Index to Mathematical Problems, 1975-1979 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1999 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Gentle Introduction to the American Invitational Mathematics Exam

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Author :
Publisher : The Mathematical Association of America
ISBN 13 : 0883858355
Total Pages : 399 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Gentle Introduction to the American Invitational Mathematics Exam by : Scott A. Annin

Download or read book A Gentle Introduction to the American Invitational Mathematics Exam written by Scott A. Annin and published by The Mathematical Association of America. This book was released on 2015-11-16 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. There is no other book on the market focused on the AIME. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. After all, serious AIME contenders and competitors should seek a lot of practice in order to succeed. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit. The AIME contains many problems that have the power to foster enthusiasm for mathematics – the problems are fun, engaging, and addictive. The problems found within these pages can be used by teachers who wish to challenge their students, and they can be used to foster a community of lovers of mathematical problem solving! There are more than 250 fully-solved problems in the book, containing examples from AIME competitions of the 1980’s, 1990’s, 2000’s, and 2010’s. In some cases, multiple solutions are presented to highlight variable approaches. To help problem-solvers with the exercises, the author provides two levels of hints to each exercise in the book, one to help stuck starters get an idea how to begin, and another to provide more guidance in navigating an approach to the solution.

Math

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Publisher : Math Solutions
ISBN 13 : 0941355195
Total Pages : 176 pages
Book Rating : 4.9/5 (413 download)

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Book Synopsis Math by : Marilyn Burns

Download or read book Math written by Marilyn Burns and published by Math Solutions. This book was released on 1998 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humorously Uncovers the Reasons Behind Math's Dreadful Reputation and Shows us How we Can Help Prevent Our Own Children From Adopting Similar Phobic Attitudes

The Contest Problem Book VI: American High School Mathematics Examinations 1989-1994

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470449668
Total Pages : 234 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Contest Problem Book VI: American High School Mathematics Examinations 1989-1994 by : Leo J. Schneider

Download or read book The Contest Problem Book VI: American High School Mathematics Examinations 1989-1994 written by Leo J. Schneider and published by American Mathematical Soc.. This book was released on 2019-01-24 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Contest Problem Book VI contains 180 challenging problems from the six years of the American High School Mathematics Examinations (AHSME), 1989 through 1994, as well as a selection of other problems. A Problems Index classifies the 180 problems in the book into subject areas: algebra, complex numbers, discrete mathematics, number theory, statistics, and trigonometry.

Math with Bad Drawings

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Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Problems and Solutions in Mathematics

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Author :
Publisher : World Scientific
ISBN 13 : 9814304964
Total Pages : 804 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Problems and Solutions in Mathematics by : Ji-Xiu Chen

Download or read book Problems and Solutions in Mathematics written by Ji-Xiu Chen and published by World Scientific. This book was released on 2011 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.

A History in Sum

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Publisher : Harvard University Press
ISBN 13 : 0674727894
Total Pages : 272 pages
Book Rating : 4.6/5 (747 download)

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Book Synopsis A History in Sum by : Steve Nadis

Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.

Math Out Loud: An Oral Olympiad Handbook

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470466937
Total Pages : 243 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Math Out Loud: An Oral Olympiad Handbook by : Steven Klee

Download or read book Math Out Loud: An Oral Olympiad Handbook written by Steven Klee and published by American Mathematical Soc.. This book was released on 2021-09-30 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math Hour Olympiads is a non-standard method of training middle- and high-school students interested in mathematics where students spend several hours thinking about a few difficult and unusual problems. When a student solves a problem, the solution is presented orally to a pair of friendly judges. Discussing the solutions with the judges creates a personal and engaging mathematical experience for the students and introduces them to the true nature of mathematical proof and problem solving. This book recounts the authors' experiences from the first ten years of running a Math Hour Olympiad at the University of Washington in Seattle. The major part of the book is devoted to problem sets and detailed solutions, complemented by a practical guide for anyone who would like to organize an oral olympiad for students in their community. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

AMC 12 Preparation Book

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Publisher :
ISBN 13 :
Total Pages : 279 pages
Book Rating : 4.7/5 (357 download)

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Book Synopsis AMC 12 Preparation Book by : Nairi Sedrakyan

Download or read book AMC 12 Preparation Book written by Nairi Sedrakyan and published by . This book was released on 2021-04-10 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists only of author-created problems with author-prepared solutions (never published before) and it is intended as a teacher's manual of mathematics, a self-study handbook for high-school students and mathematical competitors interested in AMC 12 (American Mathematics Competitions). The book teaches problem solving strategies and aids to improve problem solving skills. The book includes a list of the most useful theorems and formulas for AMC 12, it also includes 14 sets of author-created AMC 12 type practice tests (350 author-created AMC 12 type problems and their detailed solutions). National Math Competition Preparation (NMCP) program of RSM used part of these 14 sets of practice tests to train students for AMC 12, as a result 75 percent of NMCP high school students qualified for AIME. The authors provide both a list of answers for all 14 sets of author-created AMC 12 type practice tests and author-prepared solutions for each problem. About the authors: Hayk Sedrakyan is an IMO medal winner, professional mathematical Olympiad coach in greater Boston area, Massachusetts, USA. He is the Dean of math competition preparation department at RSM. He has been a Professor of mathematics in Paris and has a PhD in mathematics (optimal control and game theory) from the UPMC - Sorbonne University, Paris, France. Hayk is a Doctor of mathematical sciences in USA, France, Armenia and holds three master's degrees in mathematics from institutions in Germany, Austria, Armenia and has spent a small part of his PhD studies in Italy. Hayk Sedrakyan has worked as a scientific researcher for the European Commission (sadco project) and has been one of the Team Leaders at Harvard-MIT Mathematics Tournament (HMMT). He took part in the International Mathematical Olympiads (IMO) in United Kingdom, Japan and Greece. Hayk has been elected as the President of the students' general assembly and a member of the management board of Cite Internationale Universitaire de Paris (10,000 students, 162 different nationalities) and the same year they were nominated for the Nobel Peace Prize. Nairi Sedrakyan is involved in national and international mathematical Olympiads having been the President of Armenian Mathematics Olympiads and a member of the IMO problem selection committee. He is the author of the most difficult problem ever proposed in the history of the International Mathematical Olympiad (IMO), 5th problem of 37th IMO. This problem is considered to be the hardest problems ever in the IMO because none of the members of the strongest teams (national Olympic teams of China, USA, Russia) succeeded to solve it correctly and because national Olympic team of China (the strongest team in the IMO) obtained a cumulative result equal to 0 points and was ranked 6th in the final ranking of the countries instead of the usual 1st or 2nd place. The British 2014 film X+Y, released in the USA as A Brilliant Young Mind, inspired by the film Beautiful Young Minds (focuses on an English mathematical genius chosen to represent the United Kingdom at the IMO) also states that this problem is the hardest problem ever proposed in the history of the IMO (minutes 9:40-10:30). Nairi Sedrakyan's students (including his son Hayk Sedrakyan) have received 20 medals in the International Mathematical Olympiad (IMO), including Gold and Silver medals.

Rediscovering Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 1470451204
Total Pages : 241 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Rediscovering Mathematics by : Shai Simonson

Download or read book Rediscovering Mathematics written by Shai Simonson and published by American Mathematical Soc.. This book was released on 2019-07-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rediscovering Mathematics is aimed at a general audience and addresses the question of how best to teach and study mathematics. The book attempts to bring the exciting and dynamic world of mathematics to a non-technical audience. With so much focus today on how best to educate the new generation and make mathematics less rote and more interactive, this book is an eye-opening experience for many people who suffered with dull math teachers and curricula. Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on problem solving, and discouraging rote memorization, the book shows how to learn and teach mathematics through investigation, experimentation, and discovery. Rediscovering Mathematics is also an excellent text for training math teachers at all levels. Topics range in difficulty and cover a wide range of historical periods, with some examples demonstrating how to uncover mathematics in everyday life, including: number theory and its application to secure communication over the Internet, the algebraic and combinatorial work of a medieval mathematician Rabbi, and applications of probability to sports, casinos, and gambling. Rediscovering Mathematics provides a fresh view of mathematics for those who already like the subject, and offers a second chance for those who think they don't.

The Millennium Prize Problems

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Publisher : American Mathematical Society, Clay Mathematics Institute
ISBN 13 : 1470474603
Total Pages : 185 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Millennium Prize Problems by : James Carlson

Download or read book The Millennium Prize Problems written by James Carlson and published by American Mathematical Society, Clay Mathematics Institute. This book was released on 2023-09-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.

Mathematics for Human Flourishing

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Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Mathematics via Problems

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Publisher : American Mathematical Society, Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI)
ISBN 13 : 1470460106
Total Pages : 222 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics via Problems by : Mikhail B. Skopenkov

Download or read book Mathematics via Problems written by Mikhail B. Skopenkov and published by American Mathematical Society, Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI). This book was released on 2023-11-17 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation from Russian of Part III of the book Mathematics via Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, and Part II, Geometry, have been published in the same series. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover such topics in combinatorics as counting, graphs, constructions and invariants in combinatorics, games and algorithms, probabilistic aspects of combinatorics, and combinatorial geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, SLMath (formerly MSRI) and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

American Mathematical Contests

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Publisher :
ISBN 13 : 9781524954277
Total Pages : 720 pages
Book Rating : 4.9/5 (542 download)

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Book Synopsis American Mathematical Contests by : Harold B. Reiter

Download or read book American Mathematical Contests written by Harold B. Reiter and published by . This book was released on 2018-03-21 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Research in Collegiate Mathematics Education III

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821808826
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Research in Collegiate Mathematics Education III by : James J. Kaput

Download or read book Research in Collegiate Mathematics Education III written by James J. Kaput and published by American Mathematical Soc.. This book was released on 1998 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.