Author: Robert Watchman

Publisher: CreateSpace

ISBN: 9781505818512


Page: 48

View: 4074

The Easy Steps Math Percentages book has been written to explain percentages in an easy to understand way. The language used is fully explained and simple so that students just starting to learn these concepts can understand them. It is written for those who need to learn how to do calculations with percentages and not just complete question after question. The explanations given are set out in a step-by-step fashion, which allows for easy following. This book starts at the beginning of percentages and uses examples to explain everything covered. Questions are included for practice and answers are in the back. Topics include: Finding the percentage of an amount, showing one amount as a percentage of another, percentages and fractions, percentages as decimals and more.

Negative Math

How Mathematical Rules Can Be Positively Bent


Author: Alberto A. Martínez

Publisher: Princeton University Press

ISBN: 0691187827

Category: Mathematics

Page: N.A

View: 7387

A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and "impossible" numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features? Uses history, puzzles, and lively debates to devise new mathematical systems Shows how departures from rules can underlie new practical applications Clear and accessible Requires a background only in basic high school algebra

Prealgebra Blastoff!


Author: Josh Rappaport

Publisher: N.A

ISBN: 9780965911368

Category: Education

Page: 128

View: 3863

Empowering parents and educators to help children master pre-algebra topics, particularly the confusing rules for positive and negative numbers, this sci-fi comic book format uses interlocking foam manipulatives to demonstrate how numbers combine.

Basic Math and Pre-Algebra For Dummies


Author: Mark Zegarelli

Publisher: John Wiley & Sons

ISBN: 1118791991

Category: Mathematics

Page: 384

View: 4570

Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781118791981) is now being published as Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781119293637). While this version features an older Dummies cover and design, the content is the same as the new release and should not be considered a different product. Tips for simplifying tricky basic math and pre-algebra operations Whether you're a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you'll build necessary math skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations. Explanations and practical examples that mirror today's teaching methods Relevant cultural vernacular and references Standard For Dummies materials that match the current standard and design Basic Math & Pre-Algebra For Dummies takes the intimidation out of tricky operations and helps you get ready for algebra!

GCSE Maths

The AQA Modular Course


Author: David Bowles,Paul Metcalf

Publisher: Nelson Thornes

ISBN: 9780748766802

Category: Mathematics

Page: 552

View: 1476

Written specifically for the Foundation and Intermediate tier GCSE for the AQA Modular GCSE Specification B. This clearly presented book will help all students looking to achieve a grade C in GCSE maths. An ideal, stand-alone resource for students doing the GCSE course in one year including students resitting modules.

Mathematics Minus Fear

How to Make Math Fun and Beneficial to Your Everyday Life


Author: Lawrence Potter

Publisher: Open Road Media

ISBN: 1453271449

Category: Mathematics

Page: 288

View: 8442

Forget your classroom nightmares and discover how numbers can enhance and illuminate your world! How can math help you bet on horses or win in Vegas? What’s the foolproof way to solve Sudoku? How can probability teach you to calculate your chances of survival in Russian roulette? In this irreverent and entertaining guide to mathematics, Lawrence Potter takes the fear out of everything from long division to percentages. Using fascinating puzzles and surprising examples, he shows us how math is connected with the world we encounter every day, from how the VAT works to why weather forecasts are wrong, from winning at Monopoly to improving your mental arithmetic. Along the way you’ll also discover who invented numbers, whether animals can count, and what nuns have to do with multiplication.

Why Minus Times Minus Is Plus

The Very Basic Mathematics of Real and Complex Numbers


Author: Nils K. Oeijord

Publisher: iUniverse

ISBN: 145024064X

Category: Mathematics

Page: 136

View: 5697

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).

The Nature of Negative Numbers


Author: Peter F. Erickson

Publisher: Xulon Press

ISBN: 9781545608876

Category: Mathematics

Page: 168

View: 4193

In the world of mathematics, it is always important to keep growing in knowledge, in pursuit of answers and in confirming findings more accurately. That characterizes the endeavor of author Peter Erickson through his new book, The Nature of Negative Numbers, which explores negativity in mathematics. Peter's chief focus is on number systems, between the real number system and the veritable number system. He begins the book's discussion with the history of the law of signs, given to us by Greek mathematician Diophantus. The narration explores further the two mathematical systems, real vs. veritable: journeying into points about negative roots and powers, significance of signs in addition and subtraction and even how the systems measure up to the basic laws of arithmetic. Sir William Rowan Hamilton is also shared within The Nature of Negative Numbers, as Peter states what mathematician Sir William learned during his own experiments with the systems.

If You Were a Minus Sign


Author: Rebecca Fjelland Davis

Publisher: Capstone

ISBN: 1404847898

Category: Juvenile Nonfiction

Page: 24

View: 6331

Primary math concepts are introduced using creative examples, easy-to-understand text and art illustration.

An Imaginary Tale

The Story of √-1


Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9781400833894

Category: Mathematics

Page: 296

View: 7294

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.

Let's Play Math

How Families Can Learn Math Together—and Enjoy It


Author: Denise Gaskins

Publisher: Tabletop Academy Press

ISBN: 1892083248

Category: Education

Page: 290

View: 1698

Revise Mathematics to Further Level GCSE


Author: Duncan Graham,Christine Graham

Publisher: Macmillan International Higher Education

ISBN: 1349133280

Category: Education

Page: 352

View: 9361

This book has been specifically updated for Key Stage 4 GCSE and is written by the bestselling mathematics revision guide authors whose previous GCSE revision guide sold in excess of 3/4 million copies. It meets the needs of the estimated 500,000-plus examination candidates who sit the GCSE examination in 1993/4 and onwards. Revise Mathematics is designed and tested to bring your customers success in GCSE Key Stage 4: * the Mathematics revision guide that teachers will recommend * how to achieve the best level 'Intermediate' or 'Higher' examinations * full revision text with fully worked and explained answers * new-specimen questions organized in Attainment Targets with checked answers to monitor progress * plenty of exam practice with real past papers * good study and revision tips and help with examination strategy * from the publishers you can trust - MACMILLAN Revise Mathematics covers each of the new GCSE attainment targets in turn: Number, Algebra, Shape and Size, and Handling Data. Model questions with fully checked solutions provided by the Examination Boards for 1994, are included along with extensive exam-type revision questions. Revise Mathematics has been prepared for use by candidates working for 'intermediate' or 'higher' grade results in the examination.

GCSE Mathematics for OCR Higher Student Book


Author: Professor in Medieval History Julia Smith,Karen Morrison,Julia Smith,Pauline McLean,Rachael Horsman,Nick Asker

Publisher: Cambridge University Press

ISBN: 1107448050

Category: Juvenile Nonfiction

Page: 776

View: 8639

A new series of bespoke, full-coverage resources developed for the 2015 GCSE Mathematics qualifications. Endorsed for the OCR J560 GCSE Mathematics Higher tier specification for first teaching from 2015, this Student Book provides full coverage of the new GCSE Mathematics qualification. With a strong focus on developing problem-solving skills, reasoning and fluency, it helps students understand concepts, apply techniques, solve problems, reason, interpret and communicate mathematically. Written by experienced teachers, it also includes a solid breadth and depth of quality questions set in a variety of contexts. GCSE Mathematics Online - an enhanced digital resource incorporating progression tracking - is also available, as well as Problem-solving Books, Homework Books and a free Teacher's Resource.

Yes, But Why? Teaching for Understanding in Mathematics


Author: Ed Southall

Publisher: SAGE

ISBN: 152641242X

Category: Education

Page: 336

View: 6101

This book sheds light on the hidden connections between everything in mathematics at school so teachers can explain it while fully understanding it themselves.

Understanding and Teaching Primary Mathematics


Author: Tony Cotton

Publisher: Routledge

ISBN: 1317614399

Category: Education

Page: 264

View: 5262

How would you teach the concept of odd and even numbers to a child? What is the probability of throwing a three on a six-sided die? How could you help a child who is confusing ratio and proportion? By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which are at the heart of teaching and learning maths, with special focus on observation and assessment of primary and early years children. Hallmark features Links to the classroom and research are provided throughout to help you relate educational theory to your own teaching practice. Portfolio and audit tasks allow you to assess your own subject knowledge and build up a portfolio of evidence to gain Qualified Teacher Status. The accompanying extra resources offers topic-specific self-audits for you to monitor your progress, exemplar lesson plans, a range of Portfolio Tasks mapped directly to current teacher standards and web-links to up-to-date online resources. New to this edition Resource Inspiration boxes give inviting examples of different activities to do with your class to provide inspiration for your own teaching. High quality videos with corresponding discussion, have been expertly selected from Teachers TV help to widen your skills and develop your practice, offering tips, lesson ideas and classroom resources.

Adding It Up

Helping Children Learn Mathematics


Author: National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee

Publisher: National Academies Press

ISBN: 9780309132848

Category: Education

Page: 480

View: 7384

Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.

Teach Now! Mathematics

Becoming a Great Mathematics Teacher


Author: Julia Upton

Publisher: Routledge

ISBN: 1317667565

Category: Education

Page: 232

View: 9184

Being taught by a great teacher is one of the great privileges of life. Teach Now! is an exciting new series that opens up the secrets of great teachers and, step-by-step, helps trainees to build the skills and confidence they need to become first-rate classroom practitioners. Written by a highly-skilled practitioner, this practical, classroom-focused guide contains all the support you need to become a great mathematics teacher. Combining a grounded, modern rationale for learning and teaching with highly practical training approaches, the book guides you through the themes of mathematics teaching and the skills needed to demonstrate learning. Teach Now! Mathematics also offers clear, straightforward advice on classroom practice, lesson planning and working in schools. Teaching and learning, planning, assessment and behaviour management are all covered in detail, with a host of carefully chosen examples used to demonstrate good practice. Every example is rooted in recent experience in the mathematics classroom. The commonalities of teaching pedagogy across all subjects are discussed but this book gets to the heart of the unique nature of this subject. From building confidence to developing problem-solving skills and mathematical literacy, this book considers what the keys to success are in learning, and hence teaching, mathematics. There are also chapters on dealing with pressure, excelling in observations, finding the right job and succeeding at interview. Throughout the book, there is a great selection of ready-to-use activities, strategies and techniques which will help put you on the fast track to success in the classroom. With a strong emphasis on sparking students’ interest and enthusiasm in mathematics, this book is your essential guide as you start your exciting and rewarding career as an outstanding mathematics teacher.