This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.
Each contributor in this edited collection connects educational theory with teaching practice, examining the impact of policies such as No Child Left Behind. The chapters also explore the ways in which economic, cultural, and academic contexts affect both the gifted mind and education of the highly able in America and the rest of the world, while making recommendations for positive changes that can be enacted within gifted education in the future.
The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.
Luck is so much more than that.
If you take steps to live longer by eating right and exercising, why wouldn’t you also take similar steps to improve your good fortune? Barrie Dolnick and Anthony Davidson asked themselves this very question, and set out to study luck and decipher how it works. In this insightful and engaging book, they share the secrets they’ve uncovered so you can use luck more effectively in your day-to-day life. Where does luck originate? Does one need to be “born lucky” in order to be lucky? Answering these and many other pressing questions, Dolnick and Davidson investigate both ancient and scientific approaches to luck. From early man to famous rationalists, luck has been prayed for, played with, and courted. You’ll learn how ancient practices such as the I Ching, astrology, tarot, and numerology have been used to understand luck, and how great mathematicians studied luck–some guided by their own interest in gambling. Every- one wants to be lucky. Once you know the fundamentals of luck, the authors take you through your own Personal Luck Profile so that you can use this wisdom and try your luck. People do a lot of weird things to improve their luck–and now you can make smart choices and informed decisions about how to play with yours.
From the Hardcover edition.
The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch-Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck’s algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne’s theorem on absolute Hodge cycles), and variation of mixed Hodge structures.
The contributors include Patrick Brosnan, James Carlson, Eduardo Cattani, François Charles, Mark Andrea de Cataldo, Fouad El Zein, Mark L. Green, Phillip A. Griffiths, Matt Kerr, Lê Dũng Tráng, Luca Migliorini, Jacob P. Murre, Christian Schnell, and Loring W. Tu.
Bayesian statistical methods are becoming more common and more important, but not many resources are available to help beginners. Based on undergraduate classes taught by author Allen Downey, this book’s computational approach helps you get a solid start.Use your existing programming skills to learn and understand Bayesian statisticsWork with problems involving estimation, prediction, decision analysis, evidence, and hypothesis testingGet started with simple examples, using coins, M&Ms, Dungeons & Dragons dice, paintball, and hockeyLearn computational methods for solving real-world problems, such as interpreting SAT scores, simulating kidney tumors, and modeling the human microbiome.
So instead of learning thousands shortcuts , its better to understand subject logically, conceptually. Such one time learning give advantages to student lifetime. This book gives generic concept by using which one can solve problem faster than shortcuts. Since ,methods are generic. So they are limited. Many methods in this books are the result of deep insight, understanding research in subject & they are not available elsewhere. Editing this book was quite hectic process. The different colours are added to make explanation easy to understand.
LEARN MATHEMATICS ONE TIME | REMEMBER LIFE TIME ||
o Uses clear, easy language to understand
o Explain subject with unified, coherent approach
o Simplifies quicker methods of Vedic Mathematics
o Goes from basic to advance level
o Gives quicker method for all topics that include Multiplication,
Division, Power & roots, Equation, LCM -HCF etc.
o Effective use of different colors to simplify lesson, to emphasize
o Present novel methods invented by authors for topics
like Divisibility checking, Higher power & roots, Squaring etc.
o Useful for competitive exams to solve problems instantaneously
Readers will learn how to resolve linear independence and find null spaces and factors of matrices, determine existence of restricted solutions to linear equations and inequalities, and resolve definiteness of Hermitian and real symmetric matrices by Gaussian pivoting. Additional topics include how to diagonalize — or "nearly" diagonalize — square matrices, differentiate vectors and matrices by the chain rule, solve systems of differential and difference equations, and other subjects. Most of the examples and many of the 1,300 problems illustrate techniques, and nearly all of the tables display reference material for procedures. Differential and integral calculus are prerequisites.
Estimation in Surveys with Nonresponse provides an overview of these techniques, presenting the view of nonresponse as a normal (albeit undesirable) feature of a sample survey, one whose potentially harmful effects are to be minimised.Builds in the nonresponse feature of survey data collection as an integral part of the theory, both for point estimation and for variance estimation. Promotes weighting through calibration as a new and powerful technique for surveys with nonresponse. Highlights the analysis of nonresponse bias in estimates and methods to minimize this bias. Includes computational tools to help identify the best variables for calibration. Discusses the use of imputation as a complement to weighting by calibration. Contains guidelines for dealing with frame imperfections and coverage errors. Features worked examples throughout the text, using real data.
The accessible style of Estimation in Surveys with Nonresponse will make this an invaluable tool for survey methodologists in national statistics agencies and private survey agencies. Researchers, teachers, and students of statistics, social sciences and economics will benefit from the clear presentation and numerous examples.
Editors McArdle and Ritschard taught the "Exploratory Data Mining" Advanced Training Institute of the American Psychological Association (APA). All contributors are top researchers from the US and Europe. Organized into two parts--methodology and applications, the techniques covered include decision, regression, and SEM tree models, growth mixture modeling, and time based categorical sequential analysis. Some of the applications of EDM (and the corresponding data) explored include:
selection to college based on risky prior academic profiles
the decline of cognitive abilities in older persons
global perceptions of stress in adulthood
predicting mortality from demographics and cognitive abilities
risk factors during pregnancy and the impact on neonatal development
Intended as a reference for researchers, methodologists, and advanced students in the social and behavioral sciences including psychology, sociology, business, econometrics, and medicine, interested in learning to apply the latest exploratory data mining techniques. Prerequisites include a basic class in statistics.
the 5 Dimension Space-Time field theory and its projection into the 4 Dimension Space-Time Lorentz
field theory. It is not a review on other 5D theories nor is it intended as a sophisticated mathematically
complete presentation, although it is certainly possible to be so formulated.
"Mathematical Encounters for the Inquisitive Mind" a new work by Paul Chika Emekwulu of Norman takes an original approach to math. Emekwulu, an award-winning author and motivational speaker, hopes his works has something for everyone. The work is not strictly in line with any traditional curriculum.
Sample Chapters include:
A Student ́s Logic Under Trial: Verifying a summation strategy for first n Fibonacci numbers
From Murder Scene to Building and Transforming Word Problems into Simple Equations
Using Your Intuition for Self-Empowerment Mathematics Behind Bars: My Experience with U.S. Immigration (Courtesy of The Norman Transcript)
New in the Sixth Edition:Updated content throughout, based on users' feedbackMore advanced sections, including differential forms and the elegant forms of Maxwell's equationsA new chapter on probability and statisticsMore elementary sections have been deleted
Another element to academic writing that few know about is that, in any give topic and under any methodology, the author or authors, must assume a stating point, a perspective exposed under the form of a hypothesis. Ultimately, any paper starts with a subjective approach, an assumption, that is then tested and verified, proved or disproved. Furthermore, a research paper is always based on documented data reviewed about a certain topic, in order to justify itself as a new step towards a better understanding, and not merely a repetition of previous discoveries. This new step, however, doesn’t need to be intended forward, and can merely refer to a new perspective about something previously studied or known.
For the purpose of presenting a qualifiable research with adequate and sophisticated results, students and researches must conduct an investigation under certain rules and formalized within a specific methodology. It is this methodology that will then allow the necessary acquisition of skills through trial and error, while providing a fruitful ground to learn from mistakes shown along the way, and then correct any necessary procedure being conducted.
Taking into account the experience of the author as a college lecturer on the filed of academic writing and research in China, but also as a researcher and consultant for many companies from different countries, namely, in Europe, China and the USA, always predicting the outcome verified, this book was prepared to help others in similar fields of work. The intention here is to allow an easy and practical attitude to investigation, one that anyone can easily understand, follow and apply on his own.
More than helping college students in creating a better thesis, this book can help anyone in the field of investigation, in knowing which steps to follow to create strong, valid and interesting arguments on any subject, and that can then be applied to reach valuable outcomes, on a personal or social level. Here, you’ll find guidelines related to how one can think and research more effectively.
Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, insight, and brilliant illustrations.
Whether he is illuminating how often you should flip your mattress to get the maximum lifespan from it, explaining just how Google searches the internet, or determining how many people you should date before settling down, Strogatz shows how math connects to every aspect of life. Discussing pop culture, medicine, law, philosophy, art, and business, Strogatz is the math teacher you wish you’d had. Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.
Whether you are a student or teacher preparing and need to grown up on basic math, this book of Basics of Math easily learn numbers system, HCF and LCF, surds and indices, fractions, linear and quadratic equations decimals, average and percents. This Math book covers large number of problems with example and its solution for the purpose of practice on the range of topics covered under the basics of math.
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Darling-Hammond is the Charles E. Ducommun Professor of Education at Stanford University, a chief education advisor to President Obama, Co-Director of the Stanford Center for Opportunity Policy in Education, and Founding Director of the School Redesign Network at Stanford.
Teach Like a Champion 2.0 is a complete update to the international bestseller. This teaching guide is a must-have for new and experienced teachers alike. Over 700,000 teachers around the world already know how the techniques in this book turn educators into classroom champions. With ideas for everything from classroom management to inspiring student engagement, you will be able to perfect your teaching practice right away.
The first edition of Teach Like a Champion influenced thousands of educators because author Doug Lemov's teaching strategies are simple and powerful. Now, updated techniques and tools make it even easier to put students on the path to college readiness. Here are just a few of the brand new resources available in the 2.0 edition:Over 70 new video clips of real teachers modeling the techniques in the classroom (note: for online access of this content, please visit my.teachlikeachampion.com) A selection of never before seen techniques inspired by top teachers around the world Brand new structure emphasizing the most important techniques and step by step teaching guidelines Updated content reflecting the latest best practices from outstanding educators
With the sample lesson plans, videos, and teachlikeachampion.com online community, you will be teaching like a champion in no time. The classroom techniques you'll learn in this book can be adapted to suit any context. Find out why Teach Like a Champion is a "teaching Bible" for so many educators worldwide.
In Privilege, Shamus Khan returns to his alma mater to provide an inside look at an institution that has been the private realm of the elite for the past 150 years. He shows that St. Paul's students continue to learn what they always have--how to embody privilege. Yet, while students once leveraged the trappings of upper-class entitlement, family connections, and high culture, current St. Paul's students learn to succeed in a more diverse environment. To be the future leaders of a more democratic world, they must be at ease with everything from highbrow art to everyday life--from Beowulf to Jaws--and view hierarchies as ladders to scale. Through deft portrayals of the relationships among students, faculty, and staff, Khan shows how members of the new elite face the opening of society while still preserving the advantages that allow them to rule.
This is the goal of the Khan Academy, a passion project that grew from an ex-engineer and hedge funder's online tutoring sessions with his niece, who was struggling with algebra, into a worldwide phenomenon. Today millions of students, parents, and teachers use the Khan Academy's free videos and software, which have expanded to encompass nearly every conceivable subject; and Academy techniques are being employed with exciting results in a growing number of classrooms around the globe.
Like many innovators, Khan rethinks existing assumptions and imagines what education could be if freed from them. And his core idea-liberating teachers from lecturing and state-mandated calendars and opening up class time for truly human interaction-has become his life's passion. Schools seek his advice about connecting to students in a digital age, and people of all ages and backgrounds flock to the site to utilize this fresh approach to learning.
In THE ONE WORLD SCHOOLHOUSE, Khan presents his radical vision for the future of education, as well as his own remarkable story, for the first time. In these pages, you will discover, among other things:
How both students and teachers are being bound by a broken top-down model invented in Prussia two centuries ago Why technology will make classrooms more human and teachers more important How and why we can afford to pay educators the same as other professionals How we can bring creativity and true human interactivity back to learning Why we should be very optimistic about the future of learning.Parents and politicians routinely bemoan the state of our education system. Statistics suggest we've fallen behind the rest of the world in literacy, math, and sciences. With a shrewd reading of history, Khan explains how this crisis presented itself, and why a return to "mastery learning," abandoned in the twentieth century and ingeniously revived by tools like the Khan Academy, could offer the best opportunity to level the playing field, and to give all of our children a world-class education now.
More than just a solution, THE ONE WORLD SCHOOLHOUSE serves as a call for free, universal, global education, and an explanation of how Khan's simple yet revolutionary thinking can help achieve this inspiring goal.
Want to ace the AFOQT, ASVAB or ASTB? Help is here! Officer Candidate Tests For Dummies gives you the instruction and practice you need to pass the service-specific candidate tests and further your military career as an officer in the Army, Air Force, Navy, Marine Corps, or Coast Guard.
Packed with practice questions and easy-to-follow information, Officer Candidate Tests For Dummies gives you a comprehensive review of all subjects covered on the tests, an explanation of the test formats, and everything you need to understand and conquer the exams.Includes practice exams for each test More subject-matter instruction than any other book on the market Covers all of the latest updates to the exams
Whether you're aspiring to become an officer in the military by attending a service academy, ROTC, or Officer Candidate School or are already in the military and working to advance your career, Officer Candidate Tests For Dummies has you covered!
This is a quick read, which you can easily scan through and find easy to read, short facts about the world around us, as well as some quotes from well known faces in science.
Topics in the book include;
Earth & Environment
Animals & Nature
Technology & Engineering
This book is 100% free - if you're being asked for payment details, that's Google Play asking for it (possibly to verify your age) and not us. We receive no money from this book.
This Google FAQ (at the bottom) mentions this: https://support.google.com/googleplay/answer/2851613?hl=en-GB
Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.
Prepare for the ACT? quickly and painlessly and maximize your score!
Are you one of the millions of students taking the ACT? Have no fear! This friendly guide gives you the competitive edge by fully preparing you for every section of the ACT, including the optional writing test. You get two complete practice tests plus sample questions -- all updated -- along with proven test-taking strategies to improve your score.
Discover how to
* Study for each section
* Stay focused during the test
* Manage your time wisely
* Make smart guesses
* Spot test traps and tricks
If you thought you left standardized tests back in high school, think again. LSAT For Dummies, 2rd Edition is an all-inclusive study guide arming you with tips and know-how for your next career move. This updated edition includes three full-length practice tests, a review of foundational concepts for every section, thorough explanations, and additional practice problems for all question types. Whether you're taking the LSAT for the first time or the third time, this book will provide the guidance and skill set you need to obtain a score that reflects your abilities. Instead of facing the process alone, turn to the trusted For Dummies brand for proven test-taking strategies and ample practice opportunities.Ideal for those who want to break into this increasingly competitive field, in which a high score on the LSAT lends prospective lawyers an undeniable advantage Examines every topic and common pitfalls covered in the test, which consists of five 35-minutes sections of multiple-choice questions and a 35-minute writing sample
For aspiring law school students, LSAT For Dummies is the most advantageous guide to increasing your score on a test that can make or break your legal aspirations.