| check mark symbol in math: The Geometry of René Descartes René Descartes, 2012-09-19 The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. The greatest single step ever made in the progress of the exact sciences. — John Stuart Mill. |
| check mark symbol in math: Comprehensive List of Mathematical Symbols Math Vault, 2020-06-13 Ever wonder if there's a reference guide out there summarizing most of the symbols used in mathematics, along with contextual examples and LaTeX code so that you can pick up the various topics of mathematics at an unusual speed? Well now there is! In this jam-packed 75-page eBook, the Comprehensive List of Mathematical Symbols will take you through thousands of symbols in 10+ topics and 6 main categories. Each symbol also comes with their own defining examples, LaTeX codes and links to additional resources, making the eBook both a handy reference and a powerful tool for consolidating one's foundation of mathematics. Highlights - Featuring 1000+ of symbols from basic math, algebra, logic, set theory to calculus, analysis, probability and statistics - Comes with LaTeX code, defining contextual examples and links to additional resources - Clear. Concise. Straight-to-the-point with no fluff. - Informative. Engaging. Excellent for shortening the learning/reviewing curve. Table of Contents 1) Constants Key Mathematical Numbers Key Mathematical Sets Key Mathematical Infinities Other Key Mathematical Objects 2) Variables Variables for Numbers Variables in Geometry Variables in Logic Variables in Set Theory Variables in Linear/Abstract Algebra Variables in Probability and Statistics Variables in Calculus 3) Delimiters Common Delimiters Other Delimiters 4) Alphabet Letters Greek Letters Used in Mathematics Other Greek Letters 5) Operators Common Operators Number-related Operators Common Number-based Operators Complex-number-based Operators Function-related Operators Common Function-based Operators Elementary Functions Key Calculus-related Functions and Transforms Other Key Functions Operators in Geometry Operators in Logic Logical Connectives Quantifiers Substitution/Valuation-based Operators Set-related Operators Operators in Algebra Vector-related Operators Matrix-related Operators Vector-space-related Operators Abstract-algebra-related Operators Operators in Probability and Statistics Combinatorial Operators Probability-related Operators Probability-related Functions Discrete Probability Distributions Continuous Probability Distributions and Associated Functions Statistical Operators Operators in Calculus Operators Related to Sequence, Series and Limit Derivative-based Operators Integral-based Operators 6) Relational Symbols Equality-based Relational Symbols Comparison-based Relational Symbols Number-related Relational Symbols Relational Symbols in Geometry Relational Symbols in Logic Set-related Relational Symbols Relational Symbols in Abstract Algebra Relational Symbols in Probability and Statistics Relational Symbols in Calculus 7) Notational Symbols Common Notational Symbols Intervals Notational Symbols in Geometry and Trigonometry Notational Symbols in Probability and Statistics Notational Symbols in Calculus |
| check mark symbol in math: A History of Mathematical Notations Florian Cajori, 2013-09-26 This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition. |
| check mark symbol in math: Enlightening Symbols Joseph Mazur, 2014-03-23 An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today. |
| check mark symbol in math: Discrete Mathematics Babu Ram, 2012 Discrete Mathematics will be of use to any undergraduate as well as post graduate courses in Computer Science and Mathematics. The syllabi of all these courses have been studied in depth and utmost care has been taken to ensure that all the essential topics in discrete structures are adequately emphasized. The book will enable the students to develop the requisite computational skills needed in software engineering. |
| check mark symbol in math: Algebra I For Dummies Mary Jane Sterling, 2016-05-26 Algebra I For Dummies, 2nd Edition (9781119293576) was previously published as Algebra I For Dummies, 2nd Edition (9780470559642). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Factor fearlessly, conquer the quadratic formula, and solve linear equations There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time! Now with 25% new and revised content, this easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems with confidence. You'll understand how to factor fearlessly, conquer the quadratic formula, and solve linear equations. Includes revised and updated examples and practice problems Provides explanations and practical examples that mirror today's teaching methods Other titles by Sterling: Algebra II For Dummies and Algebra Workbook For Dummies Whether you're currently enrolled in a high school or college algebra course or are just looking to brush-up your skills, Algebra I For Dummies, 2nd Edition gives you friendly and comprehensible guidance on this often difficult-to-grasp subject. |
| check mark symbol in math: Math with Bad Drawings Ben Orlin, 2018-09-18 A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark bad drawings, which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike. |
| check mark symbol in math: Handbook of Typography for the Mathematical Sciences Steven G. Krantz, 2000-08-31 You know mathematics. You know how to write mathematics. But do you know how to produce clean, clear, well-formatted manuscripts for publication? Do you speak the language of publishers, typesetters, graphics designers, and copy editors? Your page design-the style and format of theorems and equations, running heads and section headings, page |
| check mark symbol in math: Guided Math Made Easy, Grade 2 Krista Fanning, 2012-01-03 This book includes math mini-lessons, guided lessons, and multilevel practice pages covering each major math standard. The lessons will be presented in lesson plan format and will be easy for teachers to integrate into their existing math curriculum |
| check mark symbol in math: Mathematica Beyond Mathematics José Guillermo Sánchez León, 2017-06-12 Although many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples, based on the experience of the author as a consultant. In the process, you will also learn more about the Wolfram Language and how you can use it to solve a wide variety of problems. The author raises questions from a wide range of topics and answers them by taking full advantage of Mathematica's latest features. For example; What sources of energy does the world really use? How can we calculate tolerance limits in manufacturing processes? Are our cities getting warmer? Is the novel El Quijote written in Pi? How can we find planets outside our solar system? |
| check mark symbol in math: Lean Math: Figuring to Improve Mark R. Hamel, Michael O'Connor, 2017-01-25 Lean transformations are decidedly more challenging when the math is inconsistent with lean principles, misapplied, or just plain wrong. Math should never get in the way of a lean transformation, but instead should facilitate it. Lean Math is the indispensable reference for this very purpose. A single, comprehensive source, the book presents standard and specialized approaches to tackling the math required of lean and six sigma practitioners across all industries—seasoned and newly minted practitioners alike. Lean Math features more than 160 thoughtfully organized entries. Ten chapters cover system-oriented math, time, the “-ilities” (availability, repeatability, stability, etc.), work, inventory, performance metrics, basic math and hypothesis testing, measurement, experimentation, and more. Two appendices cover standard work for analyzing data and understanding and dealing with variation. Practitioners will quickly locate the precise entry(ies) that is relevant to the problem or continuous improvement opportunity at hand. Each entry not only provides background on the related lean principles, formulas, examples, figures, and tables, but also tips, cautions, cross-references to other associated entries, and the occasional “Gemba Tale” that shares real-world experiences. The book consistently encourages the practitioner to engage in math-assisted plan-do-check-act (PDCA) cycles, employing approaches that include simulation and “trystorming.” Lean Math truly transcends the “numbers” by reinforcing and refreshing lean thinking for the very purpose of Figuring to Improve. REVIEWER COMMENTS “Hamel and O’Connor provide both the novice and experienced lean practitioner a comprehensive, common-sense reference for lean math. For example, I know that our Lean Support Office team would have gladly used dozens of Lean Math entries during a recent lean management system pilot. The concepts, context, and examples would have certainly helped our execution and provided greater clarity during our training activities. Lean Math is a must have book for Lean Support Office people!” —Dave Pienta, Director, Lean Support Office, Moog, Inc. Aircraft Group “A practical math book may sound like an oxymoron, but Lean Math is both pragmatic and accessible. Hamel and O’Connor do an excellent job keeping the math as simple as possible, while bringing lean principles to the forefront of the discussion. The use of insurance and healthcare industry examples especially helps simplify the translation for lean practitioners in non-manufacturing industries. Readers will be able to use the numerous tables and figures to clearly illustrate and teach lean concepts to others. Lean Math is a reference book that every lean practitioner or Black Belt should have in their library!” —Peter Barnett, MBB, Liberty Management System Architect, Liberty Mutual Insurance “Lean Math is a comprehensive reference book within which the lean practitioner can quickly find straightforward examples illustrating how to perform almost any lean calculation. Equally useful, it imparts the importance of the relevant lean principal(s). While coaching some recent transformation efforts, I put Lean Math to the test by asking several novice practitioners to reference it during their work. They were promptly rewarded with deeper insight and effectiveness—a reflection of this book’s utility and value to the lean practitioner.” —Greg Lane, international lean transformation coach, speaker, and author of three books including, “Made-to-Order Lean: Excelling in a High-Mix, Low-Volume Environment” “While the technical, social, and management sciences behind lean must be learned by doing, their conceptual bases are absolutely validated by the math. This validation is particularly crucial to overcoming common blind spots ingrained by traditional practice. Hamel and O’Connor’s text is a comprehensive and readable resource for lean implementers at all levels who are seeking a deeper understanding of lean tools and systems. Clear diagrams and real-world examples create a bridge for readers between theory and practice—theory proven by practice. If math is the language of science, then Lean Math is indeed the language of lean science.” —Bruce Hamilton, President, Greater Boston Manufacturing Partnership, Director Emeritus for the Shingo Institute “Mark and Michael have done a tremendous service for the lean community by tackling this daunting subject. There are so many ways to quantify value, display improvement, and define complex problems that choosing the right methods and measures becomes an obstacle to progress. Lean Math helps remove that obstacle. Almost daily, operations leaders in every industry need the practical math and lean guidance in these pages. Now, finally, we have it in one place. Thank you.” —Zane Ferry, Executive Director, National Operations, QMS Continuous Improvement, Quest Diagnostics “Too many lean books dwell on principles, but offer little to address critical how-to questions, such as, ‘How do I use these concepts to solve my specific problem?’ With plain English explanations, simple illustrations, and examples across industries, Lean Math bridges a long-standing gap. Hamel and O’Connor’s Lean Math is sure to become a must-have reference for every lean practitioner working to improve performance in any modern workplace.” —Jeff Fuchs, Executive Director, Maryland World Class Consortia, Past Chairman, Lean Certification Oversight Committee “Lean Math fills a huge gap in the continuous improvement library, helping practitioners to translate data, activities, and ideas into meaningful information for effective experimentation and intelligent decisions. This reference comes at a critical time for the healthcare industry as we struggle to improve quality, while controlling costs. Though we don’t make widgets, our people, processes, and patients will benefit from the tools provided in this reference. The numerous examples, as well as the Gemba Tales scattered throughout the book, bring life to the principles and formulas. Lean Math is impressive in both scope and presentation of content.” —Tim Pettry, Senior Process Improvement Specialist, Cleveland Clinic “Lean Math is a great book for those times when only the correct answer will do. The math, along with the Gemba Tales, are helpful for those in the midst of the technical aspects of a transformation, as well as those of us who once knew much of this but haven’t used it in a while.” —Beau Keyte, organization transformation and performance improvement coach, author of two Shingo-Award winning books: “The Complete Lean Enterprise” and “Perfecting Patient Journeys” “Math and numbers aren’t exclusively the domain of six sigma! Toyota leaders describe lean as an organizational culture, a managerial approach, and a philosophy. They also maintain that the last piece of lean is technical methods, which includes the math we need for properly sizing inventory levels, validating hypotheses, gauging improvement, and more. Lean Math is a useful book that compiles important mathematical and quantitative methods that complement the people side of lean. Hamel and O’Connor are extremely qualified to deftly explain these methods. Lest you think it’s a dry math text, there are Gemba Tales and examples from multiple industries, including healthcare, which illustrate these approaches in very relatable ways.” —Mark Graban, Shingo-Award winning author, speaker, consultant, and blogger “When you begin a lean journey, it’s like starting an exercise regimen—the most important thing is to start. But as you mature, and as you achieve higher levels of excellence, rigor becomes increasingly important. Lean Math provides easy, elegant access to the necessary rigor required for effective measurement and analysis and does so in practical terms with excellent examples.” —Misael Cabrera, PE, Director, Arizona Department Environmental Quality |
| check mark symbol in math: Street-Fighting Mathematics Sanjoy Mahajan, 2010-03-05 An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. |
| check mark symbol in math: A History of Mathematics Carl Benjamin Boyer, 1985 The Description for this book, A History of Mathematics, will be forthcoming. |
| check mark symbol in math: Winning at Math Paul D. Nolting, 1988 |
| check mark symbol in math: How to Write Mathematics Norman Earl Steenrod, 1973-12-31 This classic guide contains four essays on writing mathematical books and papers at the research level and at the level of graduate texts. The authors are all well known for their writing skills, as well as their mathematical accomplishments. The first essay, by Steenrod, discusses writing books, either monographs or textbooks. He gives both general and specific advice, getting into such details as the need for a good introduction. The longest essay is by Halmos, and contains many of the pieces of his advice that are repeated even today: In order to say something well you must have something to say; write for someone; think about the alphabet. Halmos's advice is systematic and practical. Schiffer addresses the issue by examining four types of mathematical writing: research paper, monograph, survey, and textbook, and gives advice for each form of exposition. Dieudonne's contribution is mostly a commentary on the earlier essays, with clear statements of where he disagrees with his coauthors. The advice in this small book will be useful to mathematicians at all levels. |
| check mark symbol in math: Dictionary of Electronics, Computing and Telecommunications/Wörterbuch der Elektronik, Datentechnik und Telekommunikation Vittorio Ferretti, 2012-12-06 Since the first edition was published, new technologies have come up, especially in the area of convergence of Computing and Communications, accompanied by a lot of new technical terms. This second expanded and updated edition has been worked out to cope with this situation. The number of entries has been incremented by 35%. With about 159,000 entries, this dictionary offers a valuable guide to navigate through the entanglement of German and English terminology. The lexicographic concept (indication of the subject field for every term, short definitions, references to synonyms, antonyms, general and derivative terms) has been maintained, as well as the tabular layout. |
| check mark symbol in math: Proofs and Fundamentals Ethan D. Bloch, 2013-12-01 The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same. |
| check mark symbol in math: An Introduction to Abstract Mathematics Robert J. Bond, William J. Keane, 2007-08-24 Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments. |
| check mark symbol in math: I Want to Be a Mathematician: An Automathography Paul R. Halmos, 2020-08-03 |
| check mark symbol in math: Thomas Harriot's Artis Analyticae Praxis Muriel Seltman, Robert Goulding, 2007-05-09 This is the first English translation of Thomas Harriot’s seminal Artis Analyticae Praxis, first published in Latin in 1631. It has recently become clear that Harriot's editor substantially rearranged the work, and omitted sections beyond his comprehension. Commentary included with this translation relates to corresponding pages in the manuscript papers, enabling exploration of Harriot's novel and advanced mathematics. This publication provides the basis for a reassessment of the development of algebra. |
| check mark symbol in math: Choke Sian Beilock, 2011-08-09 Previously published in hardcover: New York: Free Press, 2010. |
| check mark symbol in math: A TEX Primer for Scientists Stanley A. Sawyer, Steven G. Krantz, 1994-12-21 This concise, straightforward guide provides an all-purpose introduction to writing and preparing papers, reports, articles, and books with TEX. Scientists, engineers, mathematicians, and technical staff will discover how easy it is to clearly and quickly perform all the necessary tasks required to prepare equations and text. The first half of the book is devoted to explaining how to typeset equations, while the remainder of the book addresses advanced topics and more general text processing and page formatting topics. A TEX Primer for Scientists will save you time and reduce frustration while increasing the flexibility, quality, and efficiency of your documents. |
| check mark symbol in math: Mathematical Writing Donald E. Knuth, Tracy Larrabee, Paul M. Roberts, 1989 This book will help those wishing to teach a course in technical writing, or who wish to write themselves. |
| check mark symbol in math: Signs and Symbols Adrian Frutiger, 1998 Discusses the elements of a sign, and looks at pictograms, alphabets, calligraphy, monograms, text type, numerical signs, symbols, and trademarks. |
| check mark symbol in math: Quantities, Units and Symbols in Physical Chemistry International Union of Pure and Applied Chemistry. Physical and Biophysical Chemistry Division, 2007 Prepared by the IUPAC Physical Chemistry Division this definitive manual, now in its third edition, is designed to improve the exchange of scientific information among the readers in different disciplines and across different nations. This book has been systematically brought up to date and new sections added to reflect the increasing volume of scientific literature and terminology and expressions being used. The Third Edition reflects the experience of the contributors with the previous editions and the comments and feedback have been integrated into this essential resource. This edition has been compiled in machine-readable form and will be available online. |
| check mark symbol in math: Computers Helping People with Special Needs Klaus Miesenberger, Christian Bühler, Petr Penaz, 2016-07-05 The two volume set LNCS 9758 and 9759, constitutes the refereed proceedings of the 15th International Conference on Computers Helping People with Special Needs, ICCHP 2015, held in Linz, Austria, in July 2016. The 115 revised full papers and 48 short papers presented were carefully reviewed and selected from 239 submissions. The papers included in the first volume are organized in the following topical sections: Art Karshmer lectures in access to mathematics, science and engineering; technology for inclusion and participation; mobile apps and platforms; accessibility of web and graphics; ambient assisted living (AAL) for aging and disability; the impact of PDF/UA on accessible PDF; standard tools and procedures in accessible e-book production; accessible e-learning – e-learning for accessibility/AT; inclusive settings, pedagogies and approaches in ICT-based learning for disabled and non-disabled people; digital games accessibility; user experience and emotions for accessibility (UEE4A). |
| check mark symbol in math: Good Math Mark C. Chu-Carroll, 2013-07-18 Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular Good Math blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you. |
| check mark symbol in math: How to Teach Maths Steve Chinn, 2020-11-23 How to Teach Maths challenges everything you thought you knew about how maths is taught in classrooms. Award-winning author Steve Chinn casts a critical eye over many of the long-established methods and beliefs of maths teaching. Drawing from decades of classroom experience and research, he shows how mathematics teaching across the whole ability range can be radically improved by learning from the successful methods and principles used for the bottom quartile of achievers: the outliers. Chinn guides readers through re-adjusting the presentation of maths to learners, considering learners’ needs first, and explains the importance of securing early learning to create a conceptual foundation for later success. This highly accessible book uses clear diagrams and examples to support maths teachers through many critical issues, including the following: The context of maths education today Topics that cause students the most difficulty Effective communication in the mathematics classroom Addressing maths anxiety The perfect resource for maths teachers at all levels, this book is especially useful for those wanting to teach the foundations of mathematics in a developmental way to learners of all ages and abilities. It has the potential to change the way maths is taught forever. |
| check mark symbol in math: Topology and Groupoids Ronald Brown, 2006 Annotation. The book is intended as a text for a two-semester course in topology and algebraic topology at the advanced undergraduate orbeginning graduate level. There are over 500 exercises, 114 figures, numerous diagrams. The general direction of the book is towardhomotopy theory with a geometric point of view. This book would providea more than adequate background for a standard algebraic topology coursethat begins with homology theory. For more information seewww.bangor.ac.uk/r.brown/topgpds.htmlThis version dated April 19, 2006, has a number of corrections made. |
| check mark symbol in math: Math from Three to Seven Aleksandr K. Zvonkin, 2011 This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even work at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI). |
| check mark symbol in math: U Can: Basic Math and Pre-Algebra For Dummies Mark Zegarelli, 2015-08-10 The fun and friendly guide to really understanding math U Can: Basic Math & Pre-Algebra For Dummies is the fun, friendly guide to making sense of math. It walks you through the how and why to help you master the crucial operations that underpin every math class you'll ever take. With no-nonsense lessons, step-by-step instructions, practical examples, and plenty of practice, you'll learn how to manipulate non-whole numbers, tackle pesky fractions, deal with weights and measures, simplify algebraic expressions, and so much more. The learn it – do it style helps you move at your own pace, with lesson-sized explanations, examples, and practice. You also get access to 1,001 more practice problems online, where you can create customized quizzes and study the topics where you need the most help. Math can be hard — and the basics in U Can: Basic Math & Pre-Algebra For Dummies lay the foundation for classes down the line. Consider this resource as your guide to math mastery, with step-by-step help for learning to: Put numbers in their place Make sense of fractions, decimals, and percents Get a grasp of basic geometry Simplify basic algebraic equations Believe it or not, math can be fun! And the better you understand it now, the more likely you are to do well in school, earn a degree, and get a good job. U Can: Basic Math & Pre-Algebra For Dummies gives you the skills, understanding, and confidence you need to conquer math once and for all. |
| check mark symbol in math: Children′s Mathematics Elizabeth Carruthers, Maulfry Worthington, 2006-08-07 ′In Case Study 5 (a grassroots ′Children′s Mathematics Network group′) the initiative supported the participants in their professional change by giving them a space for the detailed and joint consideration of children′s mathematical thinking. Another significant feature of this initiative is its focus on careful consideration and analysis of children′s mathematics, and the ways in which professionals can support and encourage the children′s mathematical thinking and reasoning... The standard of the mathematical understanding, thinking and reasoning that the displays revealed was far higher than the specified curriculum objectives for children of this age...′ - Researching Effective CPD in Mathematics Education (RECME) project: (NCETM, 2009) ′The review also plays great score by play-based learning of a mathematical nature, and makes specific recommendations regarding early mark-making as a precursor to abstract mathematical symbolism′. Section 115 features children′s mathematical graphics and emphasises: ′The role of mark-making in children′s cognitive development is set out in the taxonomy (Carruthers and Worthington, 2006)′. The report recommends that ′local authorities, leaders, managers and head teachers should provide a culture with a significant focus on mathematical mark-making′ and ′a learning environment that encourages children to choose to use their own mathematical graphics to support their mathematical thinking and processes′ - The Williams Maths Review: (DCSF, 2008) `At the very heart of the success of the book is the authors′ ability to see mathematics through young children′s eyes by listening to and reflecting on the constant efforts made by children to make sense of their world. This is a liberating book which proposes that the teaching of mathematics could and should be a highly creative and enjoyable proceess′ - Branwen Llewelyn Jones, Early Years Consultant at PACE Ltd / TACTYC ′Ground breaking... To single out any one chapter would be unfair because there is something thought-provoking and inspirational throughout. If you want to expand your understanding upwards and outwards then get a copy soon′ - Times Educational Supplement ′I first read Children′s Mathematics, Making Marks, Making Meaning a couple of years ago and it had an immediate impact on my own thinking and teaching, and the work I do with trainee teachers. I′m sure you will find it compelling reading too. I think it has the potential to change, in a fundamental way, how we think about early mathematical development′ - Lynne McClure, Editor, Math Co-ordiator′s File, Mathematics Association ′In their exceptionally readable and informative book, Children′s Mathematics, Making Marks, Making Meaning Carruthers and Worthington (2006) draw attention to one of the main goals of early years teaching, that is, to help children make links between the mathematics they have already encountered (and continue to engage with) at home and the more abstract mathematics of the school. These authors suggest that by encouraging children to represent mathematical ideas in their own ways and, crucially, by talking to the pupils about the marks they have made, we are given a window onto their thinking that may otherwise be inaccessible′ - Liz Pumphrey, NRICH This book draws on the authors′ many years of teaching children aged three to eight years and also on their extensive research with children in the home, nursery and school. The authors explain the development and range of young children′s mathematical marks and visual representations, showing how children make mental connections between their own early marks and subsequent abstract mathematical symbolism, and go on to develop their own written methods. Combining theory and practice, this acclaimed book demonstrates how children′s own mathematical graphics are highly creative and show deep levels of thinking. The authors show how this is the key to success in school mathematics and to higher levels of achievement. The authors are winners of TACTYC′s (2003) Jenefer Joseph Award for the Creative Arts (3 - 8) - awarded for their innovative work with children on mathematical graphics. |
| check mark symbol in math: Geometry Practice Book, Grades 7 - 8 Barbara R. Sandall, Melfried Olson, Travis Olson, 2008-09-02 Gear up for geometry with students in grades 7 and up using Geometry Practice! This 128-page book is geared toward students who struggle in geometry. This book covers the concepts of triangles, polygons, quadrilaterals, circles, congruence, similarity, symmetry, coordinate and non-coordinate geometry, angles, patterns, and reasoning. The book supports NCTM standards and includes clear instructions, examples, practice problems, definitions, problem-solving strategies, an assessment section, answer keys, and references. |
| check mark symbol in math: How to Think Like a Mathematician Kevin Houston, 2009-02-12 Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician. |
| check mark symbol in math: Handbook of Mathematical Functions Milton Abramowitz, Irene A. Stegun, 1965-01-01 An extensive summary of mathematical functions that occur in physical and engineering problems |
| check mark symbol in math: Official GRE Quantitative Reasoning Practice Questions Educational Testing Service, 2014-08-15 150 REAL GRE Quantitative Reasoning questions--direct from the test maker! The best way to prepare for the Quantitative Reasoning measure of the GRE revised General Test is with real GRE test questions--and that is what you will find in this unique guide! Specially created for you by ETS, it offers 150 actual Quantitative Reasoning questions with complete explanations. Plus, this guide includes a review of math topics likely to appear on the Quantitative Reasoning measure. Only ETS can show you exactly what to expect on the test. So for in-depth practice and accurate test preparation for the Quantitative Reasoning measure, this guide is your best choice! Look inside to find: Real GRE Quantitative Reasoning test questions arranged by content and question type--to help you build your test-taking skills. Plus, mixed practice sets. Answers and explanations for every question! GRE Math Review covering math topics you need to know for the test. ETS's own test-taking strategies: Valuable hints and tips to help you do your best on the test. Official information on the GRE Quantitative Reasoning measure: The facts about the test content, structure, scoring, and more--straight from ETS. |
| check mark symbol in math: Model Categories Mark Hovey, 2007 Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This book offers a comprehensive study of the relationship between a model category and its homotopy category. It develops the theory of model categories, giving a development of the main examples. |
| check mark symbol in math: Wörterbuch der Datentechnik / Dictionary of Computing Vittorio Ferretti, 2013-03-08 Der FERRETTI bietet mehr als eine Übersetzungshilfe für deutsche und englische Fachbegriffe. 92.000 Stichwörter mit Kurzdefinitionen und Synonymen machen diese aktuelle Teilausgabe des erfolgreichen Wörterbuch der Elektronik, Datentechnik und Telekommunikation zum einzigartig umfassenden Nachschlagewerk der gesamten Informatik. Die 44.000 deutschen und 48.000 englischen Einträge decken zusätzlich die Hauptbegriffe der angrenzenden Fachgebiete und des allgemeinen Sprachgebrauchs ab. Zu insgesamt 94 Fachgebieten lassen sich alle datentechnischen Fragen schnell und kompetent lösen - ein schier unerschöpflicher Fundus für jeden, der hier nachschlägt. |
| check mark symbol in math: Proofs from THE BOOK Martin Aigner, Günter M. Ziegler, 2013-06-29 According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such perfect proofs, those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics. |
| check mark symbol in math: The Words of Mathematics Steven Schwartzman, 1994 This book explains the origins of over 1500 mathematical terms used in English. |
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CHECK Definition & Meaning - Merriam-Webster
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