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| fewer than meaning 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. |
| fewer than meaning in math: Introductory Statistics 2e Barbara Illowsky, Susan Dean, 2023-12-13 Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License. |
| fewer than meaning in math: An Introduction to Thermal Physics Daniel V. Schroeder, 2021-01-05 This is a textbook for the standard undergraduate-level course in thermal physics. The book explores applications to engineering, chemistry, biology, geology, atmospheric science, astrophysics, cosmology, and everyday life. |
| fewer than meaning in math: Introductory Business Statistics 2e Alexander Holmes, Barbara Illowsky, Susan Dean, 2023-12-13 Introductory Business Statistics 2e aligns with the topics and objectives of the typical one-semester statistics course for business, economics, and related majors. The text provides detailed and supportive explanations and extensive step-by-step walkthroughs. The author places a significant emphasis on the development and practical application of formulas so that students have a deeper understanding of their interpretation and application of data. Problems and exercises are largely centered on business topics, though other applications are provided in order to increase relevance and showcase the critical role of statistics in a number of fields and real-world contexts. The second edition retains the organization of the original text. Based on extensive feedback from adopters and students, the revision focused on improving currency and relevance, particularly in examples and problems. This is an adaptation of Introductory Business Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License. |
| fewer than meaning in math: Common Errors in English Usage Paul Brians, 2003 Online version of Common Errors in English Usage written by Paul Brians. |
| fewer than meaning in math: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions. |
| fewer than meaning in math: Introduction to Probability Joseph K. Blitzstein, Jessica Hwang, 2014-07-24 Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment. |
| fewer than meaning 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. |
| fewer than meaning 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. |
| fewer than meaning in math: The Prodigal Tongue Lynne Murphy, 2018-04-10 CHOSEN BY THE ECONOMIST AS A BEST BOOK OF THE YEAR An American linguist teaching in England explores the sibling rivalry between British and American English “English accents are the sexiest.” “Americans have ruined the English language.” Such claims about the English language are often repeated but rarely examined. Professor Lynne Murphy is on the linguistic front line. In The Prodigal Tongue she explores the fiction and reality of the special relationship between British and American English. By examining the causes and symptoms of American Verbal Inferiority Complex and its flipside, British Verbal Superiority Complex, Murphy unravels the prejudices, stereotypes and insecurities that shape our attitudes to our own language. With great humo(u)r and new insights, Lynne Murphy looks at the social, political and linguistic forces that have driven American and British English in different directions: how Americans got from centre to center, why British accents are growing away from American ones, and what different things we mean when we say estate, frown, or middle class. Is anyone winning this war of the words? Will Yanks and Brits ever really understand each other? |
| fewer than meaning in math: Math Power Patricia Clark Kenschaft, 2014-01-05 Critically acclaimed and commercially successful, this resource is packed with useful information and instruction. Features proven teaching techniques, games, and more. Suitable for parents of children from preschool to age 10. 2006 edition. |
| fewer than meaning in math: How Children Learn Math Nancy Krasa, Karen Tzanetopoulos, Colleen Maas, 2022-10-25 Written for pre-service and in-service educators, as well as parents of children in preschool through grade five, this book connects research in cognitive development and math education to offer an accessibly written and practical introduction to the science of elementary math learning. Structured according to children’s mathematical development, How Children Learn Math systematically reviews and synthesizes the latest developmental research on mathematical cognition into accessible sections that explain both the scientific evidence available and its practical classroom application. Written by an author team with decades of collective experience in cognitive learning research, clinical learning evaluations, and classroom experience working with both teachers and children, this amply illustrated text offers a powerful resource for understanding children’s mathematical development, from quantitative intuition to word problems, and helps readers understand and identify math learning difficulties that may emerge in later grades. Aimed at pre-service and in-service teachers and educators with little background in cognitive development, the book distills important findings in cognitive development into clear, accessible language and practical suggestions. The book therefore serves as an ideal text for pre-service early childhood, elementary, and special education teachers, as well as early career researchers, or as a professional development resource for in-service teachers, supervisors and administrators, school psychologists, homeschool parents, and other educators. |
| fewer than meaning in math: A Manual of Elementary Instruction for the Use of Public and Private Schools and Normal Classes Edward Austin Sheldon, 1864 |
| fewer than meaning in math: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
| fewer than meaning in math: Logic, Meaning and Computation C. Anthony Anderson, Michael Zelëny, 2012-12-06 This volume began as a remembrance of Alonzo Church while he was still with us and is now finally complete. It contains papers by many well-known scholars, most of whom have been directly influenced by Church's own work. Often the emphasis is on foundational issues in logic, mathematics, computation, and philosophy - as was the case with Church's contributions, now universally recognized as having been of profound fundamental significance in those areas. The volume will be of interest to logicians, computer scientists, philosophers, and linguists. The contributions concern classical first-order logic, higher-order logic, non-classical theories of implication, set theories with universal sets, the logical and semantical paradoxes, the lambda-calculus, especially as it is used in computation, philosophical issues about meaning and ontology in the abstract sciences and in natural language, and much else. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields. |
| fewer than meaning in math: The Elephants of Style Bill Walsh, 2004-04-22 Advice on good writing from everybody's favorite editorial curmudgeon Persnickety, cantankerous, opinionated, entertaining, hilarious, wise...these are a few of the adjectives reviewers used to describe good-writing maven Bill Walsh's previous book, Lapsing Into a Comma. Now, picking up where he left off in Lapsing, Walsh addresses the dozen or so biggest issues that every writer or editor must master. He also offers a trunkload of good advice on the many little things that add up to good writing. Featuring all the elements that made Lapsing such a fun read, including Walsh's trademark acerbic wit and fascinating digressions on language and its discontents, The Elephants of Style provides: Tips on how to tame the elephants of style--the most important, frequently confused elements of good writing More of Walsh's popular Curmudgeon's Stylebook--includes entries such as Snarky Specificity, Metaphors, Near and Far, Actually is the New Like, and other uses and misuses of language Expert advice for writers and editors on how to work together for best results |
| fewer than meaning in math: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
| fewer than meaning in math: Creating a Language-Rich Math Class Sandra L. Atkins, 2021-11-17 What meanings do your students have for key mathematics concepts? What meanings do you wish them to have? Creating a Language-Rich Math Class offers practical approaches for developing conceptual understandings by connecting concrete, pictorial, verbal, and symbolic representations. The focus is on making mathematics memorable instead of on memorizing. You’ll learn strategies for introducing students to math language that gives meaning to the terms and symbols they use every day; for building flexibility and precision in students’ use of math language; and for structuring activities to make them more language-rich. This second edition also provides strategies for helping students to at times be quiet and listen to their peers; for purposefully using language to introduce students to more complex mathematical symbolism and algebraic properties; and for using writing prompts to zoom in on the meanings that individual students have given to the language-rich experiences. Appropriate for elementary teachers and instructional coaches, the book also includes features such as Investigations to Try and Questions for Reflection to help you incorporate these ideas into your practice. In addition, there are Blackline masters of game cards and puzzles, which can also be found on our website for free download at http://www.routledge.com/9780367759957. |
| fewer than meaning in math: DK Workbooks: Math, Pre-K DK, 2014-01-06 PLEASE NOTE - this is a replica of the print book, but you will be able to download printable worksheets on purchase. Perfect for preschoolers, this workbook contains exercises that focus on the most basic concepts of math including counting to ten, shapes, money, and reading and writing numbers. Developed in consultation with leading educational experts to support curriculum learning, DK Workbooks: Math Pre-K is an innovative series of home-learning math workbooks that is closely linked to the school curriculum and helps make learning easy and fun. Each title is packed with exercises and activities to strengthen what children learn in school. With clear questions and supportive illustrations to help children understand each topic, the books provide practice to reinforce learning and understanding of key concepts, such as fractions, times tables, and shapes. A parents' section contains answers, tips, and guidance to provide support, and a certificate of achievement will reinforce confidence in kids by rewarding their accomplishments. |
| fewer than meaning in math: Principles and Standards for School Mathematics , 2000 This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards. |
| fewer than meaning in math: Inequalities Michael J. Cloud, Bryon C. Drachman, 2006-05-10 A working knowledge of inequalities can be beneficial to the practicing engineer, and inequalities are central to the definitions of all limiting processes, including differentiation and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inequalities can be used to obtain error bounds for numerical approximation. They can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind, and helps fill the gap between college algebra-level treatments, and the formidable treatise on the subject that exist in the mathematics literature. To consolidate the learning process, every chapter ends with a rich collection of exercises. |
| fewer than meaning in math: Mastering Math Manipulatives, Grades K-3 Sara Delano Moore, Kimberly Rimbey, 2021-10-04 Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: • Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. • Step-by-step instructions for 75 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. • Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. |
| fewer than meaning in math: Prealgebra 2e Lynn Marecek, Maryanne Anthony-Smith, Andrea Honeycutt Mathis, 2020-03-11 The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi. |
| fewer than meaning in math: Journal of the House of Representatives of the United States United States. Congress. House, 2003 Some vols. include supplemental journals of such proceedings of the sessions, as, during the time they were depending, were ordered to be kept secret, and respecting which the injunction of secrecy was afterwards taken off by the order of the House. |
| fewer than meaning in math: Inquiry, Data, and Understanding Lorin W. Anderson, 2023-05-31 Inquiry, Data, and Understanding is a reflective collection of papers in which Lorin Anderson offers his personal perspective on developments in educational research over thirty years. Following an introductory chapter, in which educational research is defined as disciplined inquiry, the remaining chapters are divided into four sections: time and learning, factors influencing educational effectiveness, international perspectives, and the nature and purpose of educational research. Each section contains an introduction that places the chapters in that section in a historical and personal context. The fourth section, which concludes the book, summarises four lessons that were learned about becoming a researcher. Based on these lessons, the final chapter describes four needs that must be met if school and classroom research is to move forward: * The need for concept-based research * The need to put students back into the equation * The need to stop focusing on correlates of student achievement * The need for research on alterable variables. |
| fewer than meaning in math: Adding Parents to the Equation Hilary Kreisberg, Matthew L. Beyranevand, 2019-05-15 Are you frustrated or confused by the way math is taught to your child today? Are you tired of trying to figure out what your child is doing when they draw visuals in math? Do you want to feel smarter than a 5th grader again? Well, this book is for you. We have taken the major parts of the 21st Century mathematics curriculum and rewritten it in an easy-to-read format. This book breaks down all the educational jargon so you can finally communicate mathematically with your child again. No matter whether your child is 3 months old or 10 years old, this book will give you a stronger understanding of the how, the why, and the what behind the shifts in math education today. |
| fewer than meaning in math: The Mathematical Theory of Communication Claude E Shannon, Warren Weaver, 1998-09-01 Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic. |
| fewer than meaning in math: The Math Gene Keith Devlin, 2001-05-17 If people are endowed with a number instinct similar to the language instinct -- as recent research suggests -- then why can't everyone do math? In The Math Gene, mathematician and popular writer Keith Devlin attacks both sides of this question. Devlin offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. Devlin goes on to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the very first emergence of true language. Why, then, can't we do math as well as we speak? The answer, says Devlin, is that we can and do -- we just don't recognize when we're using mathematical reasoning. |
| fewer than meaning in math: The Words of Mathematics Steven Schwartzman, 1994 This book explains the origins of over 1500 mathematical terms used in English. |
| fewer than meaning in math: Lectures on the Philosophy of Mathematics Joel David Hamkins, 2021-03-09 An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations. |
| fewer than meaning in math: Basic English Usage Michael Swan, 1988 |
| fewer than meaning in math: Beautiful Math Chris Bernhardt, 2024-09-17 From the bestselling author of Quantum Computing for Everyone, a concise, accessible, and elegant approach to mathematics that not only illustrates concepts but also conveys the surprising nature of the digital information age. Most of us know something about the grand theories of physics that transformed our views of the universe at the start of the twentieth century: quantum mechanics and general relativity. But we are much less familiar with the brilliant theories that make up the backbone of the digital revolution. In Beautiful Math, Chris Bernhardt explores the mathematics at the very heart of the information age. He asks questions such as: What is information? What advantages does digital information have over analog? How do we convert analog signals into digital ones? What is an algorithm? What is a universal computer? And how can a machine learn? The four major themes of Beautiful Math are information, communication, computation, and learning. Bernhardt typically starts with a simple mathematical model of an important concept, then reveals a deep underlying structure connecting concepts from what, at first, appear to be unrelated areas. His goal is to present the concepts using the least amount of mathematics, but nothing is oversimplified. Along the way, Bernhardt also discusses alphabets, the telegraph, and the analog revolution; information theory; redundancy and compression; errors and noise; encryption; how analog information is converted into digital information; algorithms; and, finally, neural networks. Historical anecdotes are included to give a sense of the technology at that time, its impact, and the problems that needed to be solved. Taking its readers by the hand, regardless of their math background, Beautiful Math is a fascinating journey through the mathematical ideas that undergird our everyday digital interactions. |
| fewer than meaning in math: Differentiating Math Instruction William N. Bender, 2005-05-18 This exciting and unique book presents practical, immediately applicable ideas for differentiating instruction in maths in the elementary classroom. It explains in detail the process of differentiation in maths, beginning with lesson planning, through implementation of a wide variety of research-proven instructional strategies and tactics. The ′Ideas from Teachers′ feature, located in various chapters, includes instructional tactics provided by teachers that exemplify the differentiation process. Also included are the ′To Ten Tactics′ lists which provide simple, immediately applicable tactics that can be easily implemented in almost every classroom. |
| fewer than meaning in math: Selected writings from the Journal of the Mathematics Council of the Alberta Teachers' Association Egan J Chernoff, Gladys Sterenberg, 2014-06-01 The teaching and learning of mathematics in Alberta - one of three Canadian provinces sharing a border with Montana - has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been delta-K: Journal of the Mathematics Council of the Alberta Teachers' Association. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematics education. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominent member of the Alberta mathematics education community. As a result, this monograph provides a historical account as well as a contemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as a resource for a variety of individuals, including teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on the work of the Mathematics Council of the Alberta Teachers' Association. |
| fewer than meaning in math: The Meaning of School Repetition and Drop Out in the Mozambican Primary School Mikael Palme, 1993 |
| fewer than meaning in math: Interactive Problem Solving Using Logo Heinz-Dieter Boecker, Hal Eden, Gerhard Fischer, 2014-05-22 This book is unique in that its stress is not on the mastery of a programming language, but on the importance and value of interactive problem solving. The authors focus on several specific interest worlds: mathematics, computer science, artificial intelligence, linguistics, and games; however, their approach can serve as a model that may be applied easily to other fields as well. Those who are interested in symbolic computing will find that Interactive Problem Solving Using LOGO provides a gentle introduction from which one may move on to other, more advanced computational frameworks or more formal analysis. What is of primary importance, however, is the text's ability -- through its presentation of rich, open-ended problems -- to effectively cultivate crucial cognitive skills. |
| fewer than meaning in math: The Principles of Mathematics Bertrand Russell, 1903 |
| fewer than meaning in math: The Mathematics of Love Hannah Fry, 2015-02-03 In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love. |
| fewer than meaning in math: OECD Glossary of Statistical Terms OECD, 2008-09-01 The OECD Glossary contains a comprehensive set of over 6 700 definitions of key terminology, concepts and commonly used acronyms derived from existing international statistical guidelines and recommendations. |
| fewer than meaning in math: Handbook of Research on Venture Capital Hans Landstr”m, Colin Mason, 2012-01-01 ÔThis exciting second volume of cutting-edge research on venture capital takes up where volume one leaves off, bringing greater depth to topics covered in the first volume (such as angel investing) and adding new topics and insights. It poses interesting questions such as Ð Is venture capital in crisis? Are new models of early investing needed? Ð and offers carefully researched answers. Landstršm and Mason provide insightful commentary and skillfully pinpoint the contributions of a talented set of researchers. Both scholars and practitioners of venture capital will want to read this book.Õ Ð Harry J. Sapienza, University of Minnesota, US ÔThe second edition of the Handbook of Research on Venture Capital provides an important guidepost for venture capital researchers. As Landstršm and Mason point out, the nature of venture capital has changed dramatically over the last ten years. The asset class as a whole has failed to return principal and the old model is under tremendous strain. The contributors nicely highlight many of these changes, especially how venture capital has scaled beyond the US. For those of us active in venture capital research, the chapters raise many interesting research questions that deserve further attention.Õ Ð Andrew Zacharakis, Babson College, US This Handbook charts the development of venture capital research in light of the global financial crisis, starting with an analysis of the current venture capital market and the changing nature of the business angel market. Looking at governance structures, the performance of venture capitalists in terms of investments, economic impact and human capital, and the geographical organization of business angels and venture capital global ÔhotspotsÕ, this book also analyses the current state of venture capital research and offers a roadmap for the future. |
Fewer vs. Less: Correct Usage Guide - Merriam-Webster
There's a commonly repeated rule about fewer and less. It goes like this: fewer is used to refer to number among things that are counted, as in "fewer choices" and "fewer problems"; less is …
Fewer vs. Less–What's the Difference? - Grammarly
May 17, 2019 · Fewer means “not as many.” We use fewer with countable nouns like cookies. Cookie Monster was told to eat fewer cookies. Less means “not as much.” We use less with …
Less or fewer ? - Grammar - Cambridge Dictionary
Fewer is the comparative form of few. We usually use less with uncountable nouns. We use fewer with plural nouns: I do less work at weekends than I used to. Better cycle routes would mean …
Fewer vs. Less: Should I Use Fewer or Less? - The Blue Book of …
Fewer vs. Less: Should I Use Fewer or Less? Less and fewer rank among the closest in meaning between two words, often leading to confusion about which to use in a sentence. They both …
Less vs. Fewer (Differences, Examples, Grammar Rules)
Nov 8, 2022 · When do you use less, and when do you use fewer? It can be difficult to know the difference, but it's important to get it right. In this post, we'll explain the difference between less …
“Fewer” vs. “Less” - Grammar.com
If you were to say "FEWER than 10 minutes", you're referring to a specific number of minutes up to the 9th minute exactly, whereas "LESS than 10 minutes" can mean any amount of time up …
Fewer vs. Less: What’s the Difference? - Writing Explained
Fewer is used with nouns that can be counted and with most plural nouns. Less is used with nouns that cannot be counted and are bulk quantities. Less can be used with certain plural …
When To Use Fewer vs. Less | Basic Grammar Distinctions
Jun 6, 2022 · Both less and fewer are determiners that mean “a smaller amount.” But less typically means “not as much” (for uncountable nouns) and fewer refers to “not as many” (for …
Fewer vs. Less: What’s the Difference? - Two Minute English
Mar 28, 2024 · The main difference between fewer and less lies in the type of nouns they describe. Use fewer when talking about things you can count, like apples or books. For …
Fewer vs less: What's the difference and the correct usage?
Jul 5, 2023 · The words less and fewer are used to talk about a smaller amount or quantity of something. However, they are not interchangeable. Even native speakers often get these …
