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 International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education.
The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.
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.
From the Hardcover edition.
Combining the latest thinking about mixed methods research designs with practical, step-by-step guidance, the Second Edition of Designing and Conducting Mixed Methods Research now covers six major mixed methods designs. Authors John W. Creswell and Vicki L. Plano Clark walk readers through the entire research process, from formulating questions to designing, collecting data, and interpreting results and include updated examples from published mixed methods studies drawn from the social, behavioral, health, and education disciplines.
This text is intended for use in Intermediate/Advanced Research Methods, Mixed Methods, Research Design, and Social Research Methods courses across the social and behavioral sciences.
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.
Handbook of Trigonometry
1) Coherent approach to learn Trigonometry
2) Simple derivation of complex trigonometrical identity
3) Simplification of Trigonometry by using Triple & complex number
4) Simple & clear language.
5) Emphasis on conceptual clarity
7) Learn one time , remember life time ...
" Essence of mathematics lies in its freedom" - Georg Cantor
" Pure mathematics is, in its way, the poetry of logical ideas." - Albert Einstein
" As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. " - Albert Einstein
“ In my opinion, all things in nature occur mathematically.”
― René Descartes
" Mathematical Knowledge adds vigour to the mind, free it from prejudices & superstition " - John Arbuthnot
Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it." -Tolstoy
"Mathematics is the queen of science, and arithmetic the queen of mathematics."
- Carl Friedrich Gauss
"Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things." - Isaac Newton
"Quantification is ultimate goal of mathematics.." - V. B. Jadhav
"Truth is ultimate goal of supreme knowledge.." - V.B. Jadhav
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.
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
Readership: Undergraduate students, graduate students and researchers in mathematics, computer science and statistics.
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
This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth China–Japan–Korea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory.Contents:Rings Over Which Polynomial Rings are NI (Juncheol Han, Yang Lee and Sung Pil Yang)The Galois Map and Its Induced Maps (George Szeto and Lianyong Xue)Notes on Weakly d-Koszul Modules (Jiafeng Lü and Xiaolan Yu)An Extension of Rings and Hochschild 2-Cocycles (M Tamer Koşan, Tsiu-Kwen Lee and Yiqiang Zhou)When Do the Direct Sums of Modules Inherit Certain Properties? (Gangyong Lee, S Tariq Rizvi and Cosmin Roman)Notes on Simple-Baer Modules and Rings (Lixin Mao)A Note on Quasi-Johns Rings (Liang Shen)Von Neumann Regular Rings Satisfying Generalized Almost Comparability (Mamoru Kutami)A New Pseudorandom Number Generator AST (Huiling Song)A Note on Prime Rings with Left Derivations (Nadeem ur Rehman)On Rings in Which Every Ideal is Prime (Hisaya Tsutsui)Some Commutativity Theorems Concerning Additive Mappings and Derivations on Semiprime Rings (Shakir Ali, Basudeb Dhara and Ajda Fošner)Study on the Algebraic Structures in Terms of Geometry and Deformation Theory (Fumiya Suenobu and Fujio Kubo)On the Faith Conjecture (Kiyoichi Oshiro)A Short Proof that Continuous Modules are Clean (V P Camillo, D Khurana, T Y Lam, W K Nicholson and Y Zhou)Structures on S.G. Near-Rings and <R,S>-Groups (Yong Uk Cho)Imprimitive Regular Action in the Ring of Integers Modulo n (Juncheol Han, Yang Lee and Sangwon Park)On Symmetric Biderivations of Semiprime Rings (Asma Ali and Faiza Shujat)τ-Projective and Strongly τ-Projective Modules (Ismail Amin, Yasser Ibrahim and Mohamed Yousif)
Readership: Graduate students and researchers in ring theory and its applications in mathematics, physics and computer science.
Keywords:Ring Theory;Module Theory
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.
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1. Number System in Math
2. Fraction and Simplification
3. HCF and LCM
4. Surds and Indices
5. Square Root and Cube Root
6. Linear and Quadratic Equations
7. Ratio and Proportion
10. Simple Interest
11. Multiplication Short Tricks
12. Squaring Short Tricks
13. Square Root Short Tricks
14. Cube Root Short Tricks
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