First Steps for Math Olympians

Provide students with the tools to solve problems that are found on mathematical problem-solving exams.

Author: J. Douglas Faires

Publisher: MAA

ISBN: 088385824X

Category: Mathematics

Page: 307

View: 834

Provide students with the tools to solve problems that are found on mathematical problem-solving exams.

First Steps for Math Olympians

This book will promote interest in mathematics by providing students with the tools to attack problems that occur on mathematical problem-solving exams, and specifically to level the playing field for those who do not have access to the ...

Author: J. Douglas Faires

Publisher:

ISBN: 1614444048

Category: MATHEMATICS

Page: 307

View: 328

First Steps for Math Olympians  Using the American Mathematics Competitions

J. Douglas Faires. experience for all students taking the exams. The AMC exam is also the first step in determining the top problem-solving high school students in the country, but that goal is decidedly secondary.

Author: J. Douglas Faires

Publisher: American Mathematical Soc.

ISBN: 9781470451264

Category: Education

Page: 307

View: 232

Any high school student preparing for the American Mathematics Competitions should get their hands on a copy of this book! A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions (AMC) have been given for more than fifty years to millions of high school 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 taking the AMC exams or helping students prepare for them will find many useful ideas here. But people generally interested in logical problem solving should also find the problems and their solutions interesting. This book will promote interest in mathematics by providing students with the tools to attack problems that occur on mathematical problem-solving exams, and specifically to level the playing field for those who do not have access to the enrichment programs that are common at the top academic high schools. The book can be used either for self-study or to give people who want to help students prepare for mathematics exams easy access to topic-oriented material and samples of problems based on that material. This is useful for teachers who want to hold special sessions for students, but it is equally valuable for parents who have children with mathematical interest and ability. As students' problem solving abilities improve, they will be able to comprehend more difficult concepts requiring greater mathematical ingenuity. They will be taking their first steps towards becoming math Olympians!

Mathematical Circle Diaries  Year 2  Complete Curriculum for Grades 6 to 8

For additional problems for middle-school math circle students of all levels, I will gladly refer the reader to two more great ... In this case, the MAA-published books on AMC preparation, First Steps for Math Olympians 266 What Comes Next?

Author: Anna Burago

Publisher: American Mathematical Soc.

ISBN: 9781470437183

Category: Games in mathematics education

Page: 362

View: 317

Mathematical circles, with their question-driven approach and emphasis on problem solving, expose students to the type of mathematics that stimulates the development of logical thinking, creativity, analytical abilities, and mathematical reasoning. These skills, while scarcely introduced at school, are in high demand in the modern world. This book, a sequel to Mathematical Circle Diaries, Year 1, teaches how to think and solve problems in mathematics. The material, distributed among twenty-nine weekly lessons, includes detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle. The book covers a broad range of problem-solving strategies and proofing techniques, as well as some more advanced topics that go beyond the limits of a school curriculum. The topics include invariants, proofs by contradiction, the Pigeonhole principle, proofs by coloring, double counting, combinatorics, binary numbers, graph theory, divisibility and remainders, logic, and many others. When students take science and computing classes in high school and college, they will be better prepared for both the foundations and advanced material. The book contains everything that is needed to run a successful mathematical circle for a full year. This book, written by an author actively involved in teaching mathematical circles for fifteen years, is intended for teachers, math coaches, parents, and math enthusiasts who are interested in teaching math that promotes critical thinking. Motivated students can work through this book on their own. 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.

Euclidean Geometry in Mathematical Olympiads

... American Mathematics Competitions (AMC 12), 2000–2007, compiled and edited by David Wells & J. Douglas Faires Euclidean Geometry in Mathematical Olympiads, by Evan Chen First Steps for Math Olympians: Using the American Mathematics ...

Author: Evan Chen

Publisher: The Mathematical Association of America

ISBN: 9780883858394

Category: Mathematics

Page: 311

View: 298

This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains as selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads, or for teachers looking for a text for an honor class.

Wearing Gauss   s Jersey

Advanced Mathematics: A Preparationfor Calculus, 2nd edition. Harcourt Brace Jovanovich, Inc., New York, 1978. Faires, J. Douglas. First Steps for Math Olympians. Mathematical Association of America, Washington, DC, 2006.

Author: Dean Hathout

Publisher: CRC Press

ISBN: 9781466508668

Category: Mathematics

Page: 276

View: 684

Wearing Gauss's Jersey focuses on "Gauss problems," problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly. The book shows how mathematical problem solving can be fun and how students can improve their mathematical insight, regardless of their initial level of knowledge. Illustrating the underlying unity in mathematics, it also explores how problems seemingly unrelated on the surface are actually extremely connected to each other. Each chapter starts with easy problems that demonstrate the simple insight/mathematical tools necessary to solve problems more efficiently. The text then uses these simple tools to solve more difficult problems, such as Olympiad-level problems, and develop more complex mathematical tools. The longest chapters investigate combinatorics as well as sequences and series, which are some of the most well-known Gauss problems. These topics would be very tedious to handle in a straightforward way but the book shows that there are easier ways of tackling them.

Trigonometry

MAA PROBLEM BOOKS SERIES Problem Books is a series of the Mathematical Association of America consisting of collections ... by David Wells & J. Douglas Faires First Steps for Math Olympians: Using the American Mathematics Competitions, ...

Author: James Tanton

Publisher: The Mathematical Association of America

ISBN: 9780883858363

Category: Mathematics

Page: 232

View: 173

This guide covers the story of trigonometry. It is a swift overview, but it is complete in the context of the content discussed in beginning and advanced high-school courses. The purpose of these notes is to supplement and put into perspective the material of any course on the subject you may have taken or are currently taking. (These notes will be tough going for those encountering trigonometry for the very first time!)

Why Minus Times Minus Is Plus

Evans, L.: Complex Numbers and Vectors Eves, H., Foundations and Fundamental Concepts of Mathematics Faber, R. L.; Differential Geometry and Relativity. Theory: An Introduction Faires, J. D.; First Steps for Math Olympians: Using the ...

Author: Nils K. Oeijord

Publisher: iUniverse

ISBN: 9781450240642

Category: Mathematics

Page: 136

View: 286

MATHEMATICS / ALGEBRA This book is written for a very broad audience. There are no particular prerequisites for reading this book. We hope students of High Schools, Colleges, and Universities, as well as hobby mathematicians, will like and benefit from this book. The book is rigorous and self-contained. All results are proved (or the proofs are optional exercises) and stated as theorems. Important points are covered by examples and optional exercises. Additionally there are also two sections called More optional exercises (with answers). Modern technology uses complex numbers for just about everything. Actually, there is no way one can formulate quantum mechanics without resorting to complex numbers. Leonard Euler (1707-1786) considered it natural to introduce students to complex numbers much earlier than we do today. Even in his elementary algebra textbook he uses complex numbers throughout the book. Nils K. Oeijord is a science writer and a former assistant professor of mathematics at Tromsoe College, Norway. He is the author of The Very Basics of Tensors, and several other books in English and Norwegian. Nils K. Oeijord is the discoverer of the general genetic catastrophe (GGC).

Hungarian Problem Book IV

... compiled and edited by David Wells & J. Douglas Faires First Steps for Math Olympians: Using the American Mathematics Competitions, by J. Douglas Faires A Friendly Mathematics Competition: 35 Years of Teamwork in Indiana, ...

Author: Robert Barrington Leigh

Publisher: MAA

ISBN: 9780883858318

Category: Mathematics

Page: 115

View: 920

Forty-eight challenging problems from the oldest high school mathematics competition in the world. This book is a continuation of Hungarian Problem Book III and takes the contest from 1944 through to 1963. This book is intended for beginners, although the experienced student will find much here.

The Mathematics Teacher

NEW FROM THE MATHEMATICAL ASSOCIATION OF AMERICA J. Douglas Faires FIRST STEPS FOR MATH OLYMPIANS Using the American Mathematics Competitions MAA Proken Boek EXISTARS " Within each chapter , three well - chosen examples illustrate a ...

Author:

Publisher:

ISBN: UCSD:31822036050078

Category: Mathematics

Page:

View: 843

Choice

First steps for math Olympians : using the American Mathematics Competitions . Mathematical Association of America , 2006 . 307p index ISBN 088385824X , $ 46.50 : ISBN 9780883858240 , $ 46.50 Faires ( Youngstown State Univ . ) ...

Author:

Publisher:

ISBN: UOM:49015003161826

Category: Academic libraries

Page:

View: 239

Crux Mathematicorum with Mathematical Mayhem

First Steps for Math Olympians is an excellent introductory primer for any precocious student gearing up for the AMC exam . Professor Faires has provided a well - organized , easily digested study guide appropriate for high - school and ...

Author:

Publisher:

ISBN: UOM:39015072615977

Category: Electronic journals

Page:

View: 714

The British National Bibliography

Author: Arthur James Wells

Publisher:

ISBN: UOM:39015066381453

Category: Bibliography, National

Page:

View: 365

Acta Scientiarum Mathematicarum

Ágnes Szendrei ( Boulder and Szeged ) J. DOUGLAS FAIRES , First steps for Math Olympians Using the American Mathematics Competitions ( MAA Problem Books Series ) , xxii + 307 pages , The Mathematical Association of America , Washington ...

Author:

Publisher:

ISBN: UCSD:31822036050557

Category: Mathematics

Page:

View: 480

Book Review Index

Author:

Publisher:

ISBN: PSU:000063673005

Category: Books

Page:

View: 417

American Book Publishing Record

510.76 First steps for math olympians : using the American Mathematics Competitions / J. Douglas Faires . Washington , DC : Published distributed Mathematical Association of America , c2006 . xxi , 307 p .: ill .; 24 cm .

Author:

Publisher:

ISBN: UOM:39015066180442

Category: American literature

Page:

View: 129

Mikey and the Mysterious Door

Dedication: I dedicate this book to all of my former middle school students and Math Olympians. As you were learning from me, I, too, was learning from you. Remember to always put God first in your life, and let Him direct your steps.

Author: Michelle Marquis

Publisher: AuthorHouse

ISBN: 9781434348234

Category: Education

Page: 32

View: 470

This educational children's book, written for elementary school students, teaches a math concept in the form of a rhyming story. Children help the main character, Mikey, and his brother, Frank, solve the mystery behind the door as they learn how to solve math functions. Practice problems with an answer key are also included in the back of the book.

The Oxford Companion to World Mythology

When Math's foot holder was abducted by *Gilfaethwy, Gwydion suggested that his sister Aranrhod could take her place. But as she steps over Math's magic wand to prove her virginity, two baby boys drop from her womb. The first child ...

Author: David Leeming

Publisher: Oxford University Press

ISBN: 9780190288884

Category: Social Science

Page: 520

View: 408

Cave paintings at Lascaux, France and Altamira, Spain, fraught with expression thousands of years later; point to an early human desire to form a cultural identity. In the Oxford Companion to World Mythology, David Leeming explores the role of mythology, or myth-logic, in history and determines that the dreams of specific cultures add up to a larger collective story of humanity. Stopping short of attempting to be all-inclusive, this fascinating volume will nonetheless be comprehensive, opening with an introduction exploring the nature and dimensions of myth and proposing a definition as a universal language. Briefly dipping into the ways our understanding of myth has changed from Aristotle and Plato to modern scholars such as Joseph Campbell, the introduction loosely places the concept in its present context and precedes articles on influential mythologists and mythological approaches that appear later in the Companion. The main body of Leeming's work consists of A-Z entries covering all aspects of mythology, including substantial essays on the world's major mythological traditions (Greek, Native American, Indian, Japanese, Sumerian, Egyptian), mythological types and motifs (Descent to the Underworld, the Hero, the Trickster, Creation, the Quest), mythological figures (Odysseus, Zeus, Osiris, Spider Woman, and Inanna) as well as numerous interrelated subjects such as fairly tales and legends. The Companion also locates myth in our lives today, relating it to language patterns, psychology, religion, politics, art, and gender attitudes. Many of the better-known and more significant myths are vividly retold in this volume that will be illustrated with maps, more than 70 black and white images, and eight pages of color highlighting the central role art has often played in the transmission and perpetuation of myth. Following the entries, a rich section of appendices will include family trees of the major pantheons, equivalency charts for the gods of Greece and Rome, Babylon and Sumer, as well as other traditions, an extensive bibliography, and an index.

The Japan Journal

MAINICHI SHIMBUN 1 AIPPO , AFLO PHOTO their first medals at the 1920 ... would not be until 1912 , at the 5th Olympic Games held in Stockholm , that Japanese athletes would make their first steps into the international athletics arena .

Author:

Publisher:

ISBN: UCSD:31822033975657

Category: Japan

Page:

View: 905

Multiple Intelligences

Author: Robin Fogarty

Publisher: Allyn & Bacon

ISBN: 0205292666

Category: Education

Page: 304

View: 104

In his groundbreaking theory on multiple intelligences, Howard Gardner states that "It's not how smart you are," but rather, "how you are smart." The impact of his theory has had major implications for schooling around the globe since it was first introduced in 1983. Despite common practices to evaluate intellectual ability in terms of IQ and standardized test scores, many educators are now embracing multiple intelligences theory and finding innovative ways to adapt it to the classroom. Editors Robin Fogarty and James Bellanca, nationally known education consultants, have consolidated much of the best research and writing available about multiple intelligences theory and practice into this informative, accessible resource. Divided into five concise sections, this book offers the novice a comprehensive, concise, and pragmatic picture of Howard Gardner's theory of multiple intelligences (MI). For those already familiar with MI, it provides an in-depth look at the many facets of this theory, featuring a broad range of voices -- from the tower of academic research to the field of academic practice. Collected articles from top researchers and practitioners challenge the reader to rethink traditional interpretations of the word "intelligence." Special applications of MI, including its use in goal setting, assessment, and curriculum integration, are also covered. Educational psychologists, educators, school board members, community leaders, parents, parent organizations, and anyone interested in multiple intelligences theory. A Skylight Professional Book.