Learning to Love Math: Teaching Strategies That Change Student Attitudes and Get Results


Judy Willis - 2010
    Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity.With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to* Improve deep-seated negative attitudes toward math.* Plan lessons with the goal of achievable challenge in mind.* Reduce mistake anxiety with techniques such as errorless math and estimation.* Teach to different individual learning strengths and skill levels.* Spark motivation.* Relate math to students' personal interests and goals.* Support students in setting short-term and long-term goals.* Convince students that they can change their intelligence.With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included--providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!

Road Atlas Large Scale


Rand McNally & Company - 2015
    Updated atlas contains maps of every U.S. state that are 35% larger than the standard atlas version plus over 350 detailed city inset and national park maps and a comprehensive, unabridged index. Road construction projects and updates highlighted for every state and conveniently located above the maps. Contains mileage chart showing distances between 77 North American cities and national parks with driving times map. Tough spiral binding allows the book to lay open easily. Other Features Best of the Road - Our editor's favorite road trips from our Best of the Road collection follows scenic routes along stretches of coastline, both east and west, to forests mountains, and prairies; and through small towns and big cities. For a weekend or a week there's something for everyone. Tell Rand! As much as we work to keep our atlases up to date, conditions change quickly and new construction projects begin frequently. If you know of something we haven't captured in our atlas, let us know at randmcnally.com/tellrand. Tourism websites and phone numbers for every U.S. state and Canadian province on map pages

Abstract Algebra


David S. Dummit - 1900
    This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.

Symmetry: The Ordering Principle


David G. Wade - 2006
    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

PADI Divemaster Manual (Revised Edition)


Alex Brylske - 1990
    

Mathematics: Its Content, Methods and Meaning


A.D. Aleksandrov - 1963
    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

Advanced Engineering Mathematics


Dennis G. Zill - 1992
    A Key Strength Of This Text Is Zill'S Emphasis On Differential Equations As Mathematical Models, Discussing The Constructs And Pitfalls Of Each. The Third Edition Is Comprehensive, Yet Flexible, To Meet The Unique Needs Of Various Course Offerings Ranging From Ordinary Differential Equations To Vector Calculus. Numerous New Projects Contributed By Esteemed Mathematicians Have Been Added. Key Features O The Entire Text Has Been Modernized To Prepare Engineers And Scientists With The Mathematical Skills Required To Meet Current Technological Challenges. O The New Larger Trim Size And 2-Color Design Make The Text A Pleasure To Read And Learn From. O Numerous NEW Engineering And Science Projects Contributed By Top Mathematicians Have Been Added, And Are Tied To Key Mathematical Topics In The Text. O Divided Into Five Major Parts, The Text'S Flexibility Allows Instructors To Customize The Text To Fit Their Needs. The First Eight Chapters Are Ideal For A Complete Short Course In Ordinary Differential Equations. O The Gram-Schmidt Orthogonalization Process Has Been Added In Chapter 7 And Is Used In Subsequent Chapters. O All Figures Now Have Explanatory Captions. Supplements O Complete Instructor'S Solutions: Includes All Solutions To The Exercises Found In The Text. Powerpoint Lecture Slides And Additional Instructor'S Resources Are Available Online. O Student Solutions To Accompany Advanced Engineering Mathematics, Third Edition: This Student Supplement Contains The Answers To Every Third Problem In The Textbook, Allowing Students To Assess Their Progress And Review Key Ideas And Concepts Discussed Throughout The Text. ISBN: 0-7637-4095-0

Practical Algebra: A Self-Teaching Guide


Peter H. Selby - 1974
    Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.

Visual Complex Analysis


Tristan Needham - 1997
    Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

The Complete Idiot's Guide to Game Theory


Edward C. Rosenthal - 2005
    It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into:? The history of the disciple made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind? The role of social behavior and psychology in this amazing discipline? How important game theory has become in our society and why

Calculus


Gilbert Strang - 1991
    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

The Universal History of Numbers: From Prehistory to the Invention of the Computer


Georges Ifrah - 1981
    A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years.

Vector Calculus


Jerrold E. Marsden - 1976
    The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.

Jazzology: The Encyclopedia of Jazz Theory for All Musicians


Robert Rawlins - 2005
    A one-of-a-kind book encompassing a wide scope of jazz topics, for beginners and pros of any instrument. A three-pronged approach was envisioned with the creation of this comprehensive resource: as an encyclopedia for ready reference, as a thorough methodology for the student, and as a workbook for the classroom, complete with ample exercises and conceptual discussion. Includes the basics of intervals, jazz harmony, scales and modes, ii-V-I cadences. For harmony, it covers: harmonic analysis, piano voicings and voice leading; modulations and modal interchange, and reharmonization. For performance, it takes players through: jazz piano comping, jazz tune forms, arranging techniques, improvisation, traditional jazz fundamentals, practice techniques, and much more! Customer reviews on amazon.com for Jazzology average a glowing 5 stars! Here is a typical reader comment: The book's approach is so intuitive, it almost leads you by the hand into the world of jazz. Certainly jazz is freedom of expression, but you have to know what you're doing and this book is the tool for that ... (it) should be standard in every high school with a jazz program and every college lab band.

The Instant Genius


Tanya Slover - 1998
    This compendium is bursting with little-known gems such as: the Bible is the most stolen book in America; humans and giraffes have the same number of vertebrae in their necks (seven); and the first thermometer was filled with brandy, not mercury (and was quite accurate). Presented with humor and precision, The Instant Genius is an engrossing battery of over 200 facts sure to settle at least one thorny question in everyone's mind.