Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.
Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.
Written by two pioneers of the concept of math anxiety and how to overcome it, Arithmetic and Algebra Again has helped tens of thousands of people conquer their irrational fear of math.
This revised and expanded second edition of the perennial bestseller:Features the latest techniques for breaking through common anxieties about numbers Takes a real-world approach that lets mathphobes learn the math they need as they need it Covers all key math areas--from whole numbers and fractions to basic algebra Features a section on practical math for banking, mortgages, interest, and statistics and probability Includes a new section on the graphing calculator, a chapter on the metric system, a section on word problems, and all updated exercises
Based on the successful approach of the Practice Makes Perfect series, a basic math workbook that allows students to reinforce their skills through key concepts and 500 exercises
About the Book
A no-nonsense practical guide to this subject, Practice Makes Perfect: Basic Math offers practice in very basic mathematics skills in an area also sometimes called remedial math. It covers the skills necessary to pass the GED and the math students need to know for community college. Students get reviews of arithmetic, multiplication, division, basic geometry and algebra, as well as negative numbers, square roots, working with fractions, and more.
Offering a winning formula for getting a handle on mathematics right away, Practice Makes Perfect: Basic Math is an indispensable resource for anyone who wants a solid understanding of the fundamentals.
Key Selling Features
For students who need to review and practice basic math, whether to keep up with class work or to prepare for a test or exam
Carolyn Wheater (Hawthorne, NJ) teaches middle school and upper school mathematics at the Nightingale-Bamford School in New York City. Educated at Marymount Manhattan College and the University of Massachusetts, Amherst, she has taught math and computer technology for 30 years to students from preschool through college. She is a member of National Council of Teachers of Mathematics (NCTM) and the Association of Teachers in Independent Schools.
Hollywood actress and math whiz Danica McKellar has completely shattered the “math nerd” stereotype. For years, she’s been showing girls how to feel confident and ace their math classes – with style! With Girls Get Curves, she applies her winning techniques to high school geometry, giving readers the tools they need to feel great and totally “get” everything from congruent triangles to theorems, and more. Inside you’ll find:
· Time-saving tips and tricks for homework and tests
· Illuminating practice problems (and proofs!) with detailed solutions
· Totally relatable real-world examples
· True stories from Danica’s own life as an actress and math student
· A Troubleshooting Guide, for getting unstuck during even the trickiest proofs!
With Danica as a coach, girls everywhere can stop hiding from their homework and watch their scores rise!
A critical read for teachers and parents who want to improve children’s mathematics learning, What’s Math Got to Do with It? is “an inspiring resource” (Publishers Weekly). Featuring all the important advice and suggestions in the original edition of What’s Math Got to Do with It?, this revised edition is now updated with new research on the brain and mathematics that is revolutionizing scientists’ understanding of learning and potential.
As always Jo Boaler presents research findings through practical ideas that can be used in classrooms and homes. The new What’s Math Got to Do with It? prepares teachers and parents for the Common Core, shares Boaler’s work on ways to teach mathematics for a “growth mindset,” and includes a range of advice to inspire teachers and parents to give their students the best mathematical experience possible.
The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples—from ice cream scoops and poker hands to measuring mountains and making magic squares—this book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius!
A mathematician who is known throughout the world as the “mathemagician,” Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. In The Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that's where you'll find the real beauty, power, and magic of math.
If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and—with a wave of his magic wand—turn you into a math lover.
The author can awaken for you a faculty which is surprisingly dormant in accountants, engineers, scientists, businesspeople, and others who work with figures. This is "number sense" — or the ability to recognize relations between numbers considered as whole quantities. Lack of this number sense makes it entirely possible for a scientist to be proficient in higher mathematics, but to bog down in the arithmetic of everyday life.
This book teaches the necessary mathematical techniques that schools neglect to teach: Horizontal addition, left to right multiplication and division, etc. You will learn a method of multiplication so rapid that you'll be able to do products in not much more time than it would take to write the problem down on paper.
This is not a collection of tricks that work in only a very few special cases, but a serious, capably planned course of basic mathematics for self-instruction. It contains over 9,000 short problems and their solutions for you to work during spare moments. Five or ten minutes spent daily on this book will, within ten weeks, give you a number sense that will double or triple your calculation speed.
This book is a good reference for the estimator, engineer, project manager, management, mechanical trades or even the student.The trades covered are Electrical, Piping and Sheet Metal. There are over 2400 component labor factors for the fabrication and installation of the listed components.
Understanding multiplying and dividing is essential for your child to do math problems with confidence. Practice Makes Perfect: Multiplication and Division gives your child bite-sized explanations of the subjects, with engaging exercises that keep her or him motivated and excited to learn. They can practice the problems they find challenging, polish skills they’ve mastered, and stretch themselves to explore skills they have not yet attempted. This book features exercises that increase in difficulty as your child proceeds through it.
This book is appropriate for a 4th grade student working above his or her grade level, or as a great review and practice for a struggling 5th or 6th grader.
If any of these questions took you more than a few seconds to solve, you need this book. Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.
By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.
The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.
Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.
About the Book
Each book in this series helps primary-school students learn and practice basic math skills they'll need in the classroom and on standardized NCLB tests. Printed in 4-color throughout; with numerous special high-interest features.
Key Selling FeaturesAttractive 4-color page design creates a student-friendly learning experience. All pages are filled to the brim with activities for maximum educational value. High-interest features and real-world applications enliven the learning experience and hold student interest Week-by-week summer study plans support use as a "summer bridge" learning and reinforcement program. All content aligned to state and national standards Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently. Complete review of Grade 1 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 1 Drill and practice to reinforce learning
Market / Audience
The market for these books consists of parents who are anxious because their children have to take NCLB tests or because their children are falling behind in school. Other parents will buy the books simply because their children need or want additional practice to reinforce school-taught skills.
Sales for this type of workbook always peak in late spring when parents look for "summer bridge" study aids. A week-by-week summer study plan included in the book supports this use.
Along the way, you'll go beyond solving hundreds of repetitive problems, and actually use what you learn to make real-life decisions. Does it make sense to buy two years of insurance on a car that depreciates as soon as you drive it off the lot? Can you really afford an XBox 360 and a new iPhone? Learn how to put algebra to work for you, and nail your class exams along the way.
Your time is way too valuable to waste struggling with new concepts. Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, Head First Algebra uses a visually rich format specifically designed to take advantage of the way your brain really works.
The quickest route to learning a subject is through a solid grounding in the basics. So what you won’t find in Easy Mathematics Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques.This book features: Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties Stay-in-step panels show how to cope with variations to the core steps Step-it-up exercises link practice to the core steps already presented Missteps and stumbles highlight common errors to avoid
You can master math as long as you take it Step-by-Step!
Now published as a portable, learning, reference and subject revision guide students, teachers and hobbyists have their own low-cost version as an eBook on their mobile phone. Explanatory text is condensed to note form making it quick and easy to find the detail on the selected topic or to provide a content reminder. All common formula for the subject are included using typical values with calculations and results determined from the software default inputs.
The PC software to accompany your mobile device eBook provides you with an easy and enjoyable way to study your chosen subject. Comprising hundreds of menu selected colorful topics where the graphic images on your mobile are brought to life for every value change along with many additional learning and software features.
A unique combined digital portable study device and educational software package at a tiny fraction of the previously published price.
See Additional Notes for the FREE Mathematics V10 educational software download for your PC, to accompany this eBook title, worth a120 / $160.
Julian Havil explores Napier’s original development of logarithms, the motivations for his approach, and the reasons behind certain adjustments to them. Napier’s inventive mathematical ideas also include formulas for solving spherical triangles, "Napier’s Bones" (a more basic but extremely popular alternative device for calculation), and the use of decimal notation for fractions and binary arithmetic. Havil also considers Napier’s study of the Book of Revelation, which led to his prediction of the Apocalypse in his first book, A Plaine Discovery of the Whole Revelation of St. John—the work for which Napier believed he would be most remembered.
John Napier assesses one man’s life and the lasting influence of his advancements on the mathematical sciences and beyond.
Awake Mathemagician Inside You !
- Can you multiply 44465 by 8888 in single line ?
- Can you figure out day on 24/5/2014 in 10 seconds ?
- Can you divide 123456 by 44444 instantaneously ?
- Can you raise number to any integral power ?
- Can you determine divisibility of 124356 by 37 just in 5 seconds ?
- Can you find square root, cube root or any root of any number without using calculator ?
- Can you convert (2134)6 = ( ? )12 in 20 seconds ?
SILENT FEATURES OF BOOK
Introduce VJ's universal divisibility test for all number !
Reveal unique secret behind speed mathematics !
Explain concept behind each method !
Unifies Vedic math, Trachtenberg system and modern math .
Presents faster method for n'th root of any number !
Give quicker methods for converting number from one base to other!
Introduce one-line method to compute root of any number or polynomial equation (VJ's matrix method)
Introduce novel pattern called golden pattern
Golden Lemma and Golden pattern
- Simplify everything right from polynomial multiplication, division , power , root , inverse etc.
- Help to build generic module in high level language to carry out basic operation on polynomial
- Parallel multiplication architecture for multiprocessor environment
- Golden pattern(process) is applicable in many area of algebra.
- Golden pattern is superior over vertically crosswise pattern mentioned in Vedic math.
Now–a -days speed math system ( like Vedic Mathematics , Trachtenberg System) are gaining widespread popularity among students as well as teachers. Speed math refers to faster methods and techniques to solve arithmetic calculation mentally. It saves considerable amount of time in competitive exam. So it is worthy to study speed math.
In order to compute given calculation mentally, one need to recall right kind of specific method (shortcut) out of 1000's. Instead of doing so,
i) Is it possible to compute any arithmetic operation (like addition, multiplication) quickly by using scientific approach ?
ii) Is it possible to derive all methods in speed math by using unique principle ?
iii) Is there any unique secret (principle) behind speed mathematics ?
After researching speed math about 2-3 years, I realized that there is unique secret (principle) behind speed mathematics !! This book explains entire speed mathematics by using single principle and gives introduction to new number system called as global number system. It extends VM framework in some of the area like divisibility, n'th root.
Related Videos / Presentations
MODERN APPROACH TO SPEED MATH SECRET - PAPERBACK EDITION
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Group on mathematics for solving reader's doubt, spreading new insight in mathematics by different experts, bringing different researcher together, boosting number sense / logical thinking in student.
" 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
The problems are grouped into twelve separate sections. Among these are: the divisibility of integers, equations having integer solutions, evaluating sums and products, miscellaneous algebraic problems, the algebra of polynomials, complex numbers, problems of number theory, distinctive inequalities, difference sequences and sums, and more.
Complete solutions to all problems are given; in many cases, alternate solutions are detailed from different points of view. Solutions to more advanced problems are given in considerable detail. Moreover, when advanced concepts are employed, they are discussed in the section preceding the problems. Useful in a variety of ways in high school and college curriculums, this challenging volume will be of particular interest to teachers dealing with gifted and advanced classes.
Now published as a portable, learning, reference and subject revision guide, students, teachers and hobbyists can have their own low-cost portable version as an eBook.
For easy reading, a comprehensive list of hundreds of topics each with a graphic image and explanatory text act as a useful exam revision reminder or reference tool for professionals.
The accompanying software which brings all these images to life can be downloaded at no extra charge thereby providing an additional computer based interactive learning resource as an easy and enjoyable way to study.
Unlock the accompanying software with your eBook receipt.
Chapters (250 topics): - Mathematics Tools, Number Systems, Number Conversion, Number Types, Compound Measures, Roots, Angles and Parallels, Triangle Ratios, Triangle Angles, Percentages, Ratios, Fractions, Vectors, Geometry, Circle Angles, Area, Surface Area and Symmetry, Volume, Laws, Algebra 0., Algebra 1., Algebra 2., Mathematical Rules, Powers and Indices, Simplifying, Linear Equations, Graphing, Slope and Translation, Curves and Angle Conversion, Personal Finance, Data Analysis, Binary Numbers, Binary Arithmetic, Additional Notes.
Supplying a solid understanding of the key principles of distributed computing and their relationship to real-world applications, Distributed Systems: An Algorithmic Approach, Second Edition makes both an ideal textbook and a handy professional reference.
Solving Word Problems is one of the biggest hurdle that kids face in Algebra. A bit of imagination is required to understand and solve these type of problems along with the calculations.This book breaks simple word problems using graphics thus helping the kids to visualize and understand the word problems. It develops the imaginative thinking required to solve these problems from an early level. This will help the kids to solve difficult problems as they will learn to imagine, analyze and break the problem into small parts which gives a better understanding on how to solve these type of problems.
• First to provide the complete guide to lead one through this highly demanding knowledge requirement with full past-years’ exam questions support
• Exact exam−compatibility to answers
• Exact and accurate definitions
• most efficient method of learning, hence saves time
• very advanced trade book
• Complete edition and concise edition eBooks available
Organized around interdisciplinary problem domains, rather than programming language features, each chapter guides students through increasingly sophisticated algorithmic and programming techniques. The author uses a spiral approach to introduce Python language features in increasingly complex contexts as the book progresses.
The text places programming in the context of fundamental computer science principles, such as abstraction, efficiency, and algorithmic techniques, and offers overviews of fundamental topics that are traditionally put off until later courses.
The book includes thirty well-developed independent projects that encourage students to explore questions across disciplinary boundaries. Each is motivated by a problem that students can investigate by developing algorithms and implementing them as Python programs.
The book's accompanying website — http://discoverCS.denison.edu — includes sample code and data files, pointers for further exploration, errata, and links to Python language references.
Containing over 600 homework exercises and over 300 integrated reflection questions, this textbook is appropriate for a first computer science course for computer science majors, an introductory scientific computing course or, at a slower pace, any introductory computer science course.
Reimer takes you on a lively and entertaining tour of the ancient Egyptian world, providing rich historical details and amusing anecdotes as he presents a host of mathematical problems drawn from different eras of the Egyptian past. Each of these problems is like a tantalizing puzzle, often with a beautiful and elegant solution. As you solve them, you’ll be immersed in many facets of Egyptian life, from hieroglyphs and pyramid building to agriculture, religion, and even bread baking and beer brewing.
Fully illustrated in color throughout, Count Like an Egyptian also teaches you some Babylonian computation—the precursor to our modern system—and compares ancient Egyptian mathematics to today’s math, letting you decide for yourself which is better.
Since the publication of the first edition, implementation aspects have changed significantly, including advances in graphics technology that are enhancing immersive experiences with virtual reality. Reflecting these considerable developments, this second edition presents up-to-date algorithms for each stage in the creative process. It takes you from the construction of polygonal models of real and imaginary objects to rigid body animation and hierarchical character animation to the rendering pipeline for the synthesis of realistic images.
New to the Second Edition
New chapter on the modern approach to real-time 3D programming using OpenGL New chapter that introduces 3D graphics for mobile devices New chapter on OpenFX, a comprehensive open source 3D tools suite for modeling and animation Discussions of new topics, such as particle modeling, marching cubes, and techniques for rendering hair and fur More web-only content, including source code for the algorithms, video transformations, comprehensive examples, and documentation for OpenFX
The book is suitable for newcomers to graphics research and 3D computer games as well as more experienced software developers who wish to write plug-in modules for any 3D application program or shader code for a commercial games engine.
Key features of Putnam and Beyond
* Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants.
* Each chapter systematically presents a single subject within which problems are clustered in every section according to the specific topic.
* The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors.
* Complete solutions to all problems are given at the end of the book. The source, author, and historical background are cited whenever possible.
This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for self-study by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to to expand their mathematical horizons.
Like the Singapore's bar model method, the stack model method allows word problems that were traditionally read in higher grades to be set in lower grades. The stack model method empowers younger readers with the higher-order thinking skills needed to solve word problems much earlier than they would normally acquire in school.
Singapore's stack model method is a more creative and intuitive visualization problem-solving strategy than the bar model method. Brain-unfriendly word problems that are bar-model-unfriendly tend to lend themselves easily to the stack model method.
Features of the Singapore math playbook are:
● Look-See Proofs for Kids
● Visible Thinking in Mathematics
● Advanced Visual Literacy
● Creative and Higher-Order Thinking Skills
● Alternative Solutions and Thought Processes
The Stack Model Method would benefit all grades 5–6 students, teachers, and parents, as they acquaint themselves with this visualization problem-solving strategy to solve both routine and non-routine questions, while indirectly helping them to enhance their creative thinking and problem-solving skills in mathematics. Learn what the best grades 5–6 students in Singapore do in elementary math—you too can learn to solve the types of challenging questions they deal with every day in local schools and tuition centers island-wide.
This handy book is designed to streamline your methods and resharpen your calculation skills for a variety of situations. Starting with the most elementary operations, the book goes on to cover all basic topics and processes of arithmetic: addition, subtraction, multiplication, division, fractions, percentage, interest, ratio and proportion, denominate numbers, averages, etc. The text continues into other useful matters, such as powers and roots, logarithms, positive and negative numbers, harmonic progression, and introductory concepts of algebra.
Entirely practical in approach and using an easy-to-follow question and answer style, this book covers a wide range of common knotty areas: filling and emptying receptacles, scales for models and maps, business and financial calculations (partial payment problems, compound interest, bank and sales discount, profit and loss problems, etc.), angle measurement, mixtures and solutions, graph and chart problems, and the like.
The discussion contains numerous alternate and short-cut methods, such as quick ways to figure compound interest; to square a number from 1 to 100; to divide by 5, 25, 125, 99, etc.; to multiply two 2-digit numbers having the same figure in the tens place; and many more. These valuable tips, together with the huge fund of exercise problems (a total of 809, half of them answered in an appendix), help you to increase your computational proficiency and speed, and make this an extremely useful volume to have on your shelf at home or at work. Anyone who has to do any figuring at all — housewife, merchant, student — will profit from this refresher. Parents will find it an excellent source of material for helping children in school work.
What makes REA’s workbooks different? For starters, students will actually like using them. Here’s why:
Math is explained in simple language, in an easy-to-follow style The workbooks allow students to learn at their own pace and master the subject More than 20 lessons break down the material into the basics Each lesson is fully devoted to a key math concept and includes many step-by-step examples Paced instruction with drills and quizzes reinforces learning The innovative “Math Flash” feature offers helpful tips and strategies in each lesson—including advice on common mistakes to avoid Skill scorecard measures the student’s progress and success Every answer to every question, in every test, is explained in full detail A final exam is included so students can test what they’ve learned
When students apply the skills they’ve mastered in our workbooks, they can do better in class, raise their grades, and score higher on the all-important end-of-course, graduation, and exit exams.
Some of the math topics covered in the Algebra & Functions Workbook include:Variables and Algebraic Expressions Linear Equations Properties of Real Numbers Word Problems Proportions Percents Exponents Factoring
Whether used in a classroom, for home or self study, or with a tutor, this workbook gets students ready for important math tests and exams, set to take on new challenges, and helps them go forward in their studies!
See Additional Notes for instructions to download the highly interactive PC software. Used in thousands of schools and colleges worldwide the software is designed to work as a traditional textbook on your PC screen.
Comprising hundreds of menu selected colourful topics where the graphic images (from your eBook) are brought to life for every value change along with many additional learning software features.
Chapters (250 topics): - Number Systems, Number Conversion, Number Types, Compound Measures, Roots, Angles and Parallels, Triangle Ratios, Triangle Angles, Percentages, Ratios, Fractions, Vectors, Geometry, Circle Angles, Area, Surface Area and Symmetry, Volume, Laws, Algebra 0, Algebra 1, Algebra 2., Mathematical Rules, Powers and Indices, Simplifying, Linear Equations, Graphing, Slope and Translation, Curves and Angle Conversion, Personal Finance, Data Analysis, Binary Numbers, Binary Arithmetic, Additional Notes.
Author: dott. Alessio Mangoni.
Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.
The topics examined include standard material such as the Perron-Frobenius theorem, transient and recurrent states, hitting probabilities and hitting times, maximum likelihood estimation, the Viterbi algorithm, and the Baum-Welch algorithm. The book contains discussions of extremely useful topics not usually seen at the basic level, such as ergodicity of Markov processes, Markov Chain Monte Carlo (MCMC), information theory, and large deviation theory for both i.i.d and Markov processes. The book also presents state-of-the-art realization theory for hidden Markov models. Among biological applications, it offers an in-depth look at the BLAST (Basic Local Alignment Search Technique) algorithm, including a comprehensive explanation of the underlying theory. Other applications such as profile hidden Markov models are also explored.
With numerous color figures, this classroom-tested book focuses on both foundational computer science concepts and engineering topics. It covers abstraction, algorithms, logic, graph theory, social issues of software, and numeric modeling as well as execution control, problem-solving strategies, testing, and data encoding and organizing. The text also discusses fundamental concepts of programming, including variables and assignment, sequential execution, selection, repetition, control abstraction, data organization, and concurrency. The authors present the algorithms using language-independent notation.
Readership: Graduates and professionals in mathematics education; education planners.
Key Features:Featured introduction by Professor Ubiratàn D'Ambrosio of Brazil — the most prestigious of Latin American mathematics educatorsInsights into the impact of political changes of mathematics education in Cuba, Venezuela, Brazil etc.Historical references, not available elsewhere, are covered in this bookKeywords:Mathematics;Mathematics Teaching;South America;Central America;Caribbean;Mathematics Curriculum;History of Mathematics;Mathematics Education;Pedagogy in Mathematics
The materials covered are derived from psychological theories, education praxis, research findings, and mathematics discourse, mediated by the author's professional experiences in mathematics education in four countries over the past four decades. They are organised into ten chapters aligned with the Singapore mathematics curriculum framework to help teachers and educators from Singapore and other countries deepen their understanding about the so-called "Singapore Maths".
The book strikes a balance between mathematical rigour and pedagogical diversity, without rigid adherence to either. This is relevant to the current discussion about the relative roles of mathematics content knowledge and pedagogical content knowledge in effective teaching. It also encourages teachers to develop their own philosophy and teaching styles so that their lessons are effective, efficient, and enjoyable to teach.
Contents:Curriculum: Map the Intended, Implemented, and Attained LandscapeConcepts: Build Meanings and ConnectionsSkills: Use Rules EfficientlyProcesses: Sharpen Mathematical Reasoning and Heuristic UseApplications: View the World Through Mathematical LensesICT: Be Its Prudent MasterAttitudes: Energise Learning with Emotional PowerMetacognition: Strategic Use of Cognitive ResourcesSchool Curriculum: Prepare Thoughtful PlansProfessional Development: Become Metacognitive Teachers
Readership: Graduate students, researchers, practitioners and teachers in mathematics.
Key Features:First, there is currently no mathematics methodology text that provides significant insights about learning and teaching based on the Singapore mathematics curriculum, yet supported by international perspectives and literatureThis fills a gap in the market about Singapore Maths, which has attracted much attention from overseas educatorsSecond, the teaching strategies discussed in the book are based on theories, research, and professional practices, and they satisfy the needs of both practitioners and researchers, hence widening the readership of the bookFinally, the author writes from the vintage point of having taught mathematics education and conducted research in Australia, Brunei Darussalam, Malaysia and Singapore and consulted with education institutes in Chile, Hong Kong, the Philippines and the US. This diverse experience allows the author to discuss mathematics education issues from an East-meets-West perspectiveKeywords:Mathematics;Pedagogy;Learning Experiences;Singapore;Teachers;Instruction;Curriculum
Jennifer Ouellette never took math in college, mostly because she-like most people-assumed that she wouldn't need it in real life. But then the English-major-turned-award-winning-science-writer had a change of heart and decided to revisit the equations and formulas that had haunted her for years. The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on. With wit and verve, Ouellette shows how she learned to apply calculus to everything from gas mileage to dieting, from the rides at Disneyland to shooting craps in Vegas-proving that even the mathematically challenged can learn the fundamentals of the universal language.
This fully updated and expanded edition features two new chapters on agent-based simulations and modeling with matrices, ten new project modules, and an additional module on diffusion. Besides increased treatment of high-performance computing and its applications, the book also includes additional quick review questions with answers, exercises, and individual and team projects.The only introductory textbook of its kind—now fully updated and expandedFeatures two new chapters on agent-based simulations and modeling with matricesIncreased coverage of high-performance computing and its applicationsIncludes additional modules, review questions, exercises, and projectsAn online instructor's manual with exercise answers, selected project solutions, and a test bank and solutions (available only to professors)An online illustration package is available to professors