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| example of mathematical concepts: Concept-Based Mathematics Jennifer T.H. Wathall, 2016-01-14 Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind! — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students. — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant |
| example of mathematical concepts: Concepts of Modern Mathematics Ian Stewart, 2012-05-23 In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations. |
| example of mathematical concepts: What is a Mathematical Concept? Elizabeth de Freitas, Nathalie Sinclair, Alf Coles, 2017-06-22 Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept? |
| example of mathematical concepts: Big Ideas of Early Mathematics The Early Math Collaborative- Erikson Institute, 2013-04-25 This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0133548635. In this unique guide, classroom teachers, coaches, curriculum coordinators, college students, and teacher educators get a practical look at the foundational concepts and skills of early mathematics, and see how to implement them in their early childhood classrooms. Big Ideas of Early Mathematics presents the skills educators need to organize for mathematics teaching and learning during the early years. For teachers of children ages three through six, the book provides foundations for further mathematics learning and helps facilitate long-term mathematical understanding. The Enhanced Pearson eText features embedded video. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% less than a print bound book. * The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later. |
| example of mathematical concepts: SAT Math For Dummies Mark Zegarelli, 2010-07-02 Manage your time and ace the mathematics section of the SAT Scoring well on the mathematics section of the SAT exam isn't guaranteed by getting good grades in Algebra and Geometry. Turn to SAT Math For Dummies for expert advice on translating your classroom success into top scores. Loaded with test-taking strategies, two practice tests, and hundreds of problems with detailed solutions and explanations, SAT Math For Dummies helps you maximize your scores in no time. Review key math concepts and then step through example and sample problems and solutions presented in the same multiple choice and grid-in formats you'll experience on the SAT Offers an expert review of core mathematic concepts as well as ample opportunity for practice Improve important skills such as estimation and number sense SAT Math For Dummies gives you expert tips on how to make the best use of the limited time allowed and get your best possible score! |
| example of mathematical concepts: Modeling Mathematical Ideas Jennifer M. Suh, Padmanabhan Seshaiyer, 2016-12-27 Modeling Mathematical Ideas combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students’ common misconceptions in investigating and discussing important mathematical ideas related to number sense, computational fluency, algebraic thinking and proportional reasoning. In each chapter, the authors opens with a rich real-world mathematical problem and presents classroom strategies (such as visible thinking strategies & technology integration) and other related problems to develop students’ strategic competence in modeling mathematical ideas. |
| example of mathematical concepts: Calculus II For Dummies® Mark Zegarelli, 2008-06-02 An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject. |
| example of mathematical concepts: 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. |
| example of mathematical concepts: Basic Math & Pre-Algebra For Dummies Mark Zegarelli, 2016-06-13 Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781119293637) was previously published as Basic Math & Pre-Algebra For Dummies, 2nd Edition (9781118791981). 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. 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 Dummiesmaterials 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! |
| example of mathematical concepts: Mathematical Mindsets Jo Boaler, 2015-10-12 Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age. |
| example of mathematical concepts: Logic For Dummies Mark Zegarelli, 2006-11-29 A straightforward guide to logic concepts Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life. You’ll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned. |
| example of mathematical concepts: Calculus: A Complete Introduction Hugh Neill, 2013-05-31 Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions. |
| example of mathematical concepts: Conceptual Mathematics F. William Lawvere, Stephen H. Schanuel, 2009-07-30 This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists. |
| example of mathematical concepts: The Proceedings of the 12th International Congress on Mathematical Education Sung Je Cho, 2015-02-10 This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups. |
| example of mathematical concepts: 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. |
| example of mathematical concepts: Math Art Stephen Ornes, 2019 The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art. |
| example of mathematical concepts: 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. |
| example of mathematical concepts: Mathematics Learning in Early Childhood National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Committee on Early Childhood Mathematics, 2009-11-13 Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children. |
| example of mathematical concepts: Math for Life: Crucial Ideas You Didn't Learn in School , |
| example of mathematical concepts: Handbook of Computer Aided Geometric Design G. Farin, J. Hoschek, M.-S. Kim, 2002-08-13 This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject. |
| example of mathematical concepts: Man vs Maths Timothy Revell, 2017-08-08 Man vs Maths explains the complexities of the mathematics of modern life, showing how understanding a little more maths can improve your life and how to use it to your advantage. Plus along the way you'll discover how social media trends work, why the universe has a favourite number and what this means for you. Mathematics is inescapable. Wherever you go, whatever you do, however you live your life, mathematics plays an important role. From controlling a city’s traffic to finding love, spending money online to building a skyscraper, the mathematics at play in our world is fascinating. Yet despite its ubiquity, for many of us, how the maths of today really works remains complex. â??Mathematician Timothy Revell distills these complexities in this essential guide to modern-day mathematics, exploring questions such as; Could we solve queuing with an equation? How do algorithms control our news? What is the secret behind encryption codes? |
| example of mathematical concepts: Man vs Maths Timothy Revell, 2016-09-15 Could we solve queuing with an equation? How do algorithms control our news? What is the secret behind encryption codes? Mathematics is inescapable. Wherever you go, whatever you do, however you live your life, mathematics plays a role. From controlling a city’s traffic to finding love, spending money online to building a skyscraper, the mathematics at play in our world is fascinating. Yet despite its ubiquity, for many of us, how the maths of today really works remains complex. Timothy Revell distils these complexities in this essential guide to modern-day mathematics. Along the way we discover how social media trends work, why the universe has a favourite number and what this means for you. Man vs Maths shows you how understanding a little more mathematics can help improve your life. |
| example of mathematical concepts: How Not to Be Wrong Jordan Ellenberg, 2014-05-29 A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description. |
| example of mathematical concepts: Practical IDL Programming Liam E. Gumley, 2002 1 : Introduction -- 2 : Fundamentals of IDL Syntax -- 3 : Writing IDL Programs -- 4 : Input and Output -- 5 : Direct Graphics -- 6 : Plotting Data -- 7 : Displaying Images -- 8 : Creating Graphical Output -- 9 : Graphical User Interfaces (GUIs) -- Appendix A : IDL on the Internet -- Appendix B : Mathematical Routines -- Appendix C : Widget Event Structures -- Appendix D : Widget Properties -- Appendix E : Graphics Device Properties. |
| example of mathematical concepts: Building Robots with LEGO Mindstorms NXT Mario Ferrari, Guilio Ferrari, 2011-04-18 The Ultimate Tool for MINDSTORMS® ManiacsThe new MINDSTORMS kit has been updated to include a programming brick, USB cable, RJ11-like cables, motors, and sensors. This book updates the robotics information to be compatible with the new set and to show how sound, sight, touch, and distance issues are now dealt with. The LEGO MINDSTORMS NXT and its predecessor, the LEGO MINDSTORMS Robotics Invention System (RIS), have been called the most creative play system ever developed. This book unleashes the full power and potential of the tools, sensors, and components that make up LEGO MINDSTORMS NXT. It also provides a unique insight on newer studless building techniques as well as interfacing with the traditional studded beams. Some of the world's leading LEGO MINDSTORMS inventors share their knowledge and development secrets. You will discover an incredible range of ideas to inspire your next invention. This is the ultimate insider's look at LEGO MINDSTORMS NXT system and is the perfect book whether you build world-class competitive robots or just like to mess around for the fun of it.Featuring an introduction by astronaut Dan Barry and written by Dave Astolfo, Invited Member of the MINDSTORMS Developer Program and MINDSTORMS Community Partners (MCP) groups, and Mario and Guilio Ferrari, authors of the bestselling Building Robots with LEGO Mindstorms, this book covers:Understanding LEGO GeometryPlaying with GearsControlling MotorsReading SensorsWhat's New with the NXT?Building StrategiesProgramming the NXTPlaying Sounds and MusicBecoming MobileGetting Pumped: PneumaticsFinding and Grabbing ObjectsDoing the MathKnowing Where You AreClassic ProjectsBuilding Robots That WalkRobotic AnimalsSolving a MazeDrawing and WritingRacing Against TimeHand-to-Hand CombatSearching for Precision - Complete coverage of the new Mindstorms NXT kit - Brought to you by the DaVinci's of LEGO - Updated edition of a bestseller |
| example of mathematical concepts: How People Learn National Research Council, Division of Behavioral and Social Sciences and Education, Board on Behavioral, Cognitive, and Sensory Sciences, Committee on Developments in the Science of Learning with additional material from the Committee on Learning Research and Educational Practice, 2000-08-11 First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education. |
| example of mathematical concepts: What is a Mathematical Concept? Elizabeth de Freitas, Nathalie Sinclair, Alf Coles, 2017-06-22 Responding to widespread interest within cultural studies and social inquiry, this book addresses the question 'what is a mathematical concept?' using a variety of vanguard theories in the humanities and posthumanities. Tapping historical, philosophical, sociological and psychological perspectives, each chapter explores the question of how mathematics comes to matter. Of interest to scholars across the usual disciplinary divides, this book tracks mathematics as a cultural activity, drawing connections with empirical practice. Unlike other books in this area, it is highly interdisciplinary, devoted to exploring the ontology of mathematics as it plays out in different contexts. This book will appeal to scholars who are interested in particular mathematical habits - creative diagramming, structural mappings, material agency, interdisciplinary coverings - that shed light on both mathematics and other disciplines. Chapters are also relevant to social sciences and humanities scholars, as each offers philosophical insight into mathematics and how we might live mathematically. |
| example of mathematical concepts: Maths is all Around You Marianne Knaus, 2015-04-23 We encounter mathematics on a regular basis in one form or another. For some people, maths is 'scary' and not something they feel confident about. Even though many educators and parents attempt to provide good mathematics experiences, there is still a high level of anxiety about the teaching and learning of mathematics. This book presents a broad range of concepts and aims to widen the narrow view that maths for young children is just about numbers and shapes. The content includes pattern (early algebra), counting, number, early operations, measurement, shape and spatial awareness (geometry), matching, sorting, data analysis and the introduction of chance (statistics and probability). This book is intended for educators and parents who would like to explore and investigate maths concepts to enrich children's experiences and extend their current thinking and learning. |
| example of mathematical concepts: Systems Analysis and Synthesis Barry Dwyer, 2016-03-23 Systems Analysis and Synthesis: Bridging Computer Science and Information Technology presents several new graph-theoretical methods that relate system design to core computer science concepts, and enable correct systems to be synthesized from specifications. Based on material refined in the author's university courses, the book has immediate applicability for working system engineers or recent graduates who understand computer technology, but have the unfamiliar task of applying their knowledge to a real business problem. Starting with a comparison of synthesis and analysis, the book explains the fundamental building blocks of systems-atoms and events-and takes a graph-theoretical approach to database design to encourage a well-designed schema. The author explains how database systems work-useful both when working with a commercial database management system and when hand-crafting data structures-and how events control the way data flows through a system. Later chapters deal with system dynamics and modelling, rule-based systems, user psychology, and project management, to round out readers' ability to understand and solve business problems. - Bridges computer science theory with practical business problems to lead readers from requirements to a working system without error or backtracking - Explains use-definition analysis to derive process graphs and avoid large-scale designs that don't quite work - Demonstrates functional dependency graphs to allow databases to be designed without painful iteration - Includes chapters on system dynamics and modeling, rule-based systems, user psychology, and project management |
| example of mathematical concepts: Connecting Math Concepts Level C Studentworkbook 1 SRA/McGraw-Hill, Owen Engelmann, 2011-09-01 Contains a remedial mathematics program for grades K-5. |
| example of mathematical concepts: Real-Life Math Evan Glazer, John W. McConnell, 2002 Mathematics educators Glazer (U. of Georgia) and McConnell (North Park U.) describe practical uses of some common mathematical concepts and techniques. The arrangement is by concept, so the reference would probably be most useful to high school teachers and librarians, rather than students seeking techniques for particular problems. The techniques themselves are not explained. |
| example of mathematical concepts: Mathematical Concepts Jürgen Jost, 2015-09-10 The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning. |
| example of mathematical concepts: The Visual Imperative Lindy Ryan, 2016-03-14 Data is powerful. It separates leaders from laggards and it drives business disruption, transformation, and reinvention. Today's most progressive companies are using the power of data to propel their industries into new areas of innovation, specialization, and optimization. The horsepower of new tools and technologies have provided more opportunities than ever to harness, integrate, and interact with massive amounts of disparate data for business insights and value – something that will only continue in the era of the Internet of Things. And, as a new breed of tech-savvy and digitally native knowledge workers rise to the ranks of data scientist and visual analyst, the needs and demands of the people working with data are changing, too. The world of data is changing fast. And, it's becoming more visual. Visual insights are becoming increasingly dominant in information management, and with the reinvigorated role of data visualization, this imperative is a driving force to creating a visual culture of data discovery. The traditional standards of data visualizations are making way for richer, more robust and more advanced visualizations and new ways of seeing and interacting with data. However, while data visualization is a critical tool to exploring and understanding bigger and more diverse and dynamic data, by understanding and embracing our human hardwiring for visual communication and storytelling and properly incorporating key design principles and evolving best practices, we take the next step forward to transform data visualizations from tools into unique visual information assets. - Discusses several years of in-depth industry research and presents vendor tools, approaches, and methodologies in discovery, visualization, and visual analytics - Provides practicable and use case-based experience from advisory work with Fortune 100 and 500 companies across multiple verticals - Presents the next-generation of visual discovery, data storytelling, and the Five Steps to Data Storytelling with Visualization - Explains the Convergence of Visual Analytics and Visual discovery, including how to use tools such as R in statistical and analytic modeling - Covers emerging technologies such as streaming visualization in the IOT (Internet of Things) and streaming animation |
| example of mathematical concepts: Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being George Lakoff, Rafael E. Nunez, 2000-11-02 A study of the cognitive science of mathematical ideas. |
| example of mathematical concepts: The Unfinished Game Keith Devlin, 2010-03-23 Before the mid-seventeenth century, scholars generally agreed that it was impossible to predict something by calculating mathematical outcomes. One simply could not put a numerical value on the likelihood that a particular event would occur. Even the outcome of something as simple as a dice roll or the likelihood of showers instead of sunshine was thought to lie in the realm of pure, unknowable chance. The issue remained intractable until Blaise Pascal wrote to Pierre de Fermat in 1654, outlining a solution to the unfinished game problem: how do you divide the pot when players are forced to. |
| example of mathematical concepts: The Pleasures of Counting Thomas William Körner, 1996-12-05 What is the connection between the outbreak of cholera in Victorian Soho, the Battle of the Atlantic, African Eve and the design of anchors? One answer is that they are all examples chosen by Dr Tom Körner to show how a little mathematics can shed light on the world around us, and deepen our understanding of it. Dr Körner, an experienced author, describes a variety of topics which continue to interest professional mathematicians, like him. He does this using relatively simple terms and ideas, yet confronting difficulties (which are often the starting point for new discoveries) and avoiding condescension. If you have ever wondered what it is that mathematicians do, and how they go about it, then read on. If you are a mathematician wanting to explain to others how you spend your working days (and nights), then seek inspiration here. |
| example of mathematical concepts: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1910 |
| example of mathematical concepts: Data Assimilation: Mathematical Concepts and Instructive Examples Rodolfo Guzzi, 2015-09-16 This book endeavours to give a concise contribution to understanding the data assimilation and related methodologies. The mathematical concepts and related algorithms are fully presented, especially for those facing this theme for the first time. The first chapter gives a wide overview of the data assimilation steps starting from Gauss' first methods to the most recent as those developed under the Monte Carlo methods. The second chapter treats the representation of the physical system as an ontological basis of the problem. The third chapter deals with the classical Kalman filter, while the fourth chapter deals with the advanced methods based on recursive Bayesian Estimation. A special chapter, the fifth, deals with the possible applications, from the first Lorenz model, passing trough the biology and medicine up to planetary assimilation, mainly on Mars. This book serves both teachers and college students, and other interested parties providing the algorithms and formulas to manage the data assimilation everywhere a dynamic system is present. |
| example of mathematical concepts: Introductory Mathematics Charles P. McKeague, 2013 |
| example of mathematical concepts: Programming Mathematics Using MATLAB Lisa A. Oberbroeckling, 2020-05-27 Providing an alternative to engineering-focused resources in the area, Programming Mathematics Using MATLAB® introduces the basics of programming and of using MATLAB® by highlighting many mathematical examples. Emphasizing mathematical concepts through the visualization of programming throughout the book, this useful resource utilizes examples that may be familiar to math students (such as numerical integration) and others that may be new (such as fractals). Additionally, the text uniquely offers a variety of MATLAB® projects, all of which have been class-tested thoroughly, and which enable students to put MATLAB® programming into practice while expanding their comprehension of concepts such as Taylor polynomials and the Gram-Schmidt process. Programming Mathematics Using MATLAB® is appropriate for readers familiar with sophomore-level mathematics (vectors, matrices, multivariable calculus), and is useful for math courses focused on MATLAB® specifically and those focused on mathematical concepts which seek to utilize MATLAB® in the classroom. |
EXAMPLE Definition & Meaning - Merriam-Webster
The meaning of EXAMPLE is one that serves as a pattern to be imitated or not to be imitated. How to use example in a sentence. Synonym Discussion of Example.
EXAMPLE | English meaning - Cambridge Dictionary
EXAMPLE definition: 1. something that is typical of the group of things that it is a member of: 2. a way of helping…. Learn more.
EXAMPLE Definition & Meaning | Dictionary.com
one of a number of things, or a part of something, taken to show the character of the whole. This painting is an example of his early work. a pattern or model, as of something to be imitated or …
Example - definition of example by The Free Dictionary
1. one of a number of things, or a part of something, taken to show the character of the whole. 2. a pattern or model, as of something to be imitated or avoided: to set a good example. 3. an …
Example Definition & Meaning - YourDictionary
To be illustrated or exemplified (by). Wear something simple; for example, a skirt and blouse.
EXAMPLE - Meaning & Translations | Collins English Dictionary
An example of something is a particular situation, object, or person which shows that what is being claimed is true. 2. An example of a particular class of objects or styles is something that …
example noun - Definition, pictures, pronunciation and usage …
used to emphasize something that explains or supports what you are saying; used to give an example of what you are saying. There is a similar word in many languages, for example in …
Example - Definition, Meaning & Synonyms - Vocabulary.com
An example is a particular instance of something that is representative of a group, or an illustration of something that's been generally described. Example comes from the Latin word …
example - definition and meaning - Wordnik
noun Something that serves as a pattern of behaviour to be imitated (a good example) or not to be imitated (a bad example). noun A person punished as a warning to others. noun A parallel …
EXAMPLE Synonyms: 20 Similar Words - Merriam-Webster
Some common synonyms of example are case, illustration, instance, sample, and specimen. While all these words mean "something that exhibits distinguishing characteristics in its …
Building Math Minds - NAEYC
mathematical concepts are already built into everyday speech and communication from early on. Some common examples are shown in the figure above. Of course, depending on the context, …
Instruction of mathematical concepts through analogical …
Therefore it seems that instruction of mathematical concepts through analogical reasoning modify the misconceptions and difficult of mathematical problems for students. Keywords: …
HOW TO WRITE MATHEMATICS - Xavier University
These things include mathematical concepts, definitions, theorems, and proofs. Equally important is the knowledge of how to write your ideas, solutions, and ... arranged in …
The chart below provides an overview of how mathematical …
is an example of a mathematical problem. Problem solving can also be considered in terms of engaging students in both inductive and deductive ... students with opportunities to understand …
Introduction to Mathematical Modeling - New York University
Mathematical modeling for us will mean using mathematical techniques to un-derstand phenomena in the real world. To develop your modeling ability, I will present mathematical …
Abstract concepts subject to such - IIT
say, or epidemics. It is mathematical activity, to the extent that it makes use of mathematical concepts and results, which are, by definition, concepts and results capable of strict …
Implementation of STEM in Preschool Education
science and the concepts are abstract; picture storybooks come to mind as one of the effective methods by which preschool children can embody abstract concepts. It is possible to embody …
The Basic Mathematics of Bridges - Yale University
mathematical concepts should be helpful in addressing the student's deficiencies. Given the level of mathematics that is taught at the eighth grade level, the mathematical focus on the topic of …
Mathematics for Biosciences: Biology and Medicine as an …
Mathematical Biology is the application of mathematical concepts, modeling and techniques to solve problems in biology and physiology. It is one of the fastest growing research areas in …
CONCEPTS AND PROCEDURES Students can explain and …
It is important to assess how aware students are of how concepts link together, and why mathematical procedures work in the way that they do. This relates to the structural nature of …
Steering a Robot to Engage in Number and Spatial Sense …
example, mathematical concepts associated with measurement in this task utilize an implicit number line to help students understand number as measurement, and T . The Variable, …
Mathematical Concepts — Lecture notes MAT 117, Fall 2021 …
Mathematical Concepts — Lecture notes MAT 117, Fall 2021 — D. Ivanˇsi´c 13.1 Voting Methods We explore various methods of voting, based on ranking of the choices, which captures most …
MATHEMATICAL INVESTIGATIONS EBS 417 - University of …
Mathematical Investigation • To ailey (2007) mathematical investigation is an open -ended problem or statement that lends itself to the possibility of multiple mathematical pathways …
Diagrams in Mathematics: What Do They Represent and …
For example, graphs in coordinate geometry are used to represent the relationships between two sets of values, geometrical diagrams are ... oldest form of communication to convey formally or …
Mathematical Methods for Introductory Physics - Duke …
Concepts such as coordinate systems, vectors algebra, the algebra of complex numbers, and at least a couple of series expansions help tremendously – they are taught to some extent in …
A Framework for the Development of Mathematical Thinking …
mathematical thinking based on three worlds of mathematics: (1) the embodied; (2) the symbolic; and (3) formal. It is thought that as new conceptions are compressed into more thinkable …
Glossary: Mathematical Terms, Tables, and Illustrations
Example: a list of heights and weights for each player on a football team. Box plot. A graphic method that shows the distribution of data values by using the median, quartiles, and extremes …
1 2 3 4 5 COUNTING
Children’s Development of Mathematical Concepts: Ages 4-6 (Preschool, Kindergarten, & Grade 1) As children mature, their development of mathematical concepts continues. ... Children this …
Technology in the Teaching of Mathematics Chapter
representations and modeling to help students understand the mathematical concepts behind a problem. This is an area where the use of technology can be helpful. The standards …
Analyzing and Addressing Common Mathematical Errors in …
of various mathematical concepts such as fractions, decimals, inequalities, and polynomials. I researched di erent representations to include on my activity sheets which addressed various …
Using Concrete Manipulatives in Mathematical Instruction - ed
students of all mathematical levels to begin instruction on a level playing field. Accessibility for students is of utmost importance: students must be able to connect and engage with the …
Mathematics 1.1 definition of mathematics - AIU
mathematical concepts, statements, and principles can be defined and proven entirely in terms of symbolic logic. A logicist definition of mathematics is Russell's ... For example, the physicist …
The Effectiveness of Applying Realistic Mathematics …
to form formal knowledge. Fifth, the relationship between the topics is established when mathematical knowledge is related to many other mathematical topics in an integrated form. …
Learning advanced mathematical concepts by reading text
2. 3. How students learn advanced mathematical concepts in traditional settings Research on how students learn advanced mathematical concepts under traditional instruction is sparse. …
Australian Journal of Teacher Education
ideas that are generalised from specific instances and that govern a domain; for example, Australian Journal of Teacher Education Vol 46, 2, February 2021 58 ... mathematical ideas or …
The Role of Mathematics in STEM Activities: Syntheses and …
mathematical outcomes than on science outcomes, and there is a risk that an inadequate focus on the connections ... for example, mathematical modelling as a way of investigating and …
Effects of Mathematical Vocabulary Instruction on Students …
Mathematical vocabulary refers to words that label mathematical concepts for example quotient, volume, vertex, dividend, and hexagon (Sanders, 2007). According to Miller (1993: 12) …
Developing Math Skills in Early Childhood - ed
children to think in mathematical terms. Parents or adults could ask a child how many spoons are needed on the dinner table. Figure 1 shows the progression of some of the typical math …
Exploring the role of visual imagery in learning mathematics - ed
evidence of how they are determining and discerning the key mathematical concepts from the spatial dot patterns. An example from a study An example of one teacher’s lesson on dot …
Playing with Mathematics: Play in Early Childhood as a …
Young children’s play often involves mathematical concepts, ideas and explorations (Perry & Dockett, 2008; Seo & Ginsburg, 2004). Ginsburg (2006) described a range of mathematical …
BASIC IDEAS OF ABSTRACT MATHEMATICS
Mathematical propositions are often of the form “If P, then Q”. Such a statement is called an implication. “P” is called the hypothesis and “Q” is called the conclusion. For example, “If x and …
Using Concept Maps toLink Mathematical Ideas - PBworks
and an understanding of elementary concepts is es-sential for mathematical power, for example, apply-ing school mathematics to everyday tasks, invent-ing mathematical procedures, …
A Guide for Assessing Mathematical Understanding
mathematical challenges or students who may be struggling with mathematical concepts. For each of these students, the teacher can identify a particular concept area and administer the …
ISSN: Set Theory: Its Operations, Types and Applications
Applications: Many mathematical concepts can be defined easily by using the concepts of set theory. For example, mathematical structures such as graphs, manifolds, rings, and vector …
Using Children’s Literature to Teach Mathematics: An …
teach, reinforce, and to make connections to many math concepts through the use of story books that have mathematics uses. There are also books that may be used to assist students with …
Understanding of mathematical concepts through …
So they are able to master math concepts in order to identify and solve mathematical problems. There are structures (concepts) and relations in mathematics which is a structural system [9]. …
Probably the best training that I have ever participated in. The ...
For example, mathematical concepts in MPP lesson are initially developed by discussing the thinking of two fictional students. Their thinking, presented in print and supported by labeled …
When Mathematics Meets Art: How Might Art Contribute to …
understanding of mathematical concepts learned in the online asynchronous course “When Mathematics Meets Art.” The math concepts were tessellations, zero and infinity, golden …
Mathematical Teaching Strategies: Pathways to Critical …
questioning, while adhering to the Blooms Taxonomy, students learn mathematical concepts and solve mathematical problems and also recognize the extent to which reasoning applies to …
How Do Kindergarteners Express Their Mathematics …
correspondence skills and number concepts, they can represent these abstract concepts using shapes and symbols accurately. Young children use representations in their mathematics …
Understanding the Process of Generalization in Mathematics …
concepts into spontaneous/everyday concepts and scientific concepts. The spontaneous/everyday concepts are created by child‟s personal experience, and they can …
Writing a Formal Mathematical Report - Kenyon College
mathematical language that is direct, precise, and clear. Be certain that mathematical elements and procedures are referred to by their correct, conventional names. 5. Enhance the flow of …
The Role of Visual Representations in Geometry Learning - ed
In mathematics, teaching the introduction of mathematical concepts is designed following a concrete-pictorial-symbolic ... senses, for example, the visible perceptions and rules of their …
Effective Mathematics Teaching Practices - National Council …
concepts and procedures and as tools for problem solving. Facilitate meaningful mathematical discourse. Effective teaching of mathematics facilitates discourse among students to build …
How Mathematical Concepts Get Their Bodies: The Example …
mathematical thinking perfectly fit together there are also multiple examples when they don't. The first group of such examples comprises clear mathematical intutions, which remain only …
Learning and Using Math Procedures - HSD
• Help students see how patterns and rules reflect mathematical concepts. For example, first explain that the rules for regrouping rise from the concept of place . value, then show the role …
Using manipulatives to teach elementary mathematics - ed
The experimental group teacher used mathematical manipulatives to teach the concepts presented in the unit, and the control group teacher used only drawings and diagrams to teach …
The secret life of mathematical concepts - Springer
The secret life of mathematical concepts Higinio Dominguez1 Accepted: 17 April 2025 ... This article features a theoretical example—a seemingly simple example that possesses, …
Supporting children’s spatial reasoning - ECMG
highlight the spatial relations that underlie mathematical concepts (e.g. numbers on a number line; Mix & Cheng, 2012). ... For example, we use informal language such as describing a bendy, …
Concepts and Applications - PaTTAN
Concepts and Applications Second Grade through Sixth Grade Description DIBELS Math: Concepts and Applications is a standardized measure designed to assess students’ prog ress …
