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| draw a model to represent the problem: Conceptual Model-Based Problem Solving Yan Ping Xin, 2013-02-11 Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati |
| draw a model to represent the problem: Leveled Text-Dependent Question Stems: Mathematics Problem Solving Lisa M. Sill, 2017-02-01 Help boost kindergarten through twelfth grade students' critical-thinking and comprehension skills with Leveled Text-Dependent Question Stems: Mathematics. This book includes a variety of high-interest mathematics texts as well as specific text-dependent questions that are provided at four different levels to meet the needs of all students. With this easy-to-use resource, teachers will learn strategies to effectively guide students in analyzing informational text and mathematical problems to build their comprehension skills and use evidence to justify their responses. |
| draw a model to represent the problem: Guided Math Workshop Laney Sammons, Donna Boucher, 2017-03-01 This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students. |
| draw a model to represent the problem: Draw to Win Dan Roam, 2016-09-13 Get ready for the ultimate crash course in communicating and solving problems through simple pictures. Thirty-two thousand years ago, your many-times-great-grandparents Oog and Aag drew pictures on the wall of a cave. They had an innate need to communicate, but no written language. So they found an easy and natural way to share their thoughts and stories. Today, after so many years when speaking and writing dominated, we're back in another highly visual age. About 90 percent of everything shared online is now visual—selfies, GIFs, smartphone videos, and more. This explosion of communication through pictures isn't a millenial-driven fad; it's as natural as those lines first drawn by Oog and Aag. Just turbo-charged by the latest technology. And yet over the past twenty years, as I've taught people from Fortune 500 CE0s to White House staffers how to harness the power of imagery, the biggest objection I've always heard is, But I can't draw! Trust me, you can. You don't need to be da Vinci to be an outstanding visual thinker and communicator. The most effective drawings are the simplest, and you can get good at those in three minutes. In this little book, I'll teach you how to use seven basic shapes to explain just about anything to just about anyone. If you've read my previous books, you'll see one or two familiar tools here, along with a bunch of new tools you can start using right away. If you're new to my approach—welcome! Get ready to work smarter, communicate more clearly, and get better at whatever you do, just by picking up a pen. Get ready to draw to win. |
| draw a model to represent the problem: The Art of Business Communication Graham Shaw, 2014-11-10 Whether it’s in emails, documents, presentations, meetings or tweets, we’re all being bombarded by millions of words every day. So, how do you make your message stand out and stick amongst all this chatter? The answer is simple – just get visual! With a straightforward doodle or a quick illustration you’ll revolutionise how your message impacts your audience. And The Art of Business Communication will show you how to do it. Can’t draw? No Picasso? No problem! You’ll be amazed at how easy it is to add a simple yet powerful visual dimension to any message or business communication so that all your ideas, presentations, documents and meetings are brought to life and make a meaningful and memorable impact. Everything becomes easier to say, problems are explained and solved in a flash and the complex quickly becomes clear. So, to make your point and make it matter – make it visual. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed. |
| draw a model to represent the problem: Singapore Math, Grade 5 , 2015-01-05 Singapore Math creates a deep understanding of each key math concept, includes an introduction explaining the Singapore Math method, is a direct complement to the current textbooks used in Singapore, and includes step-by-step solutions in the answer key. Singapore Math, for students in grades 2 to 5, provides math practice while developing analytical and problem-solving skills. This series is correlated to Singapore Math textbooks and creates a deep understanding of each key math concept. Learning objectives are provided to identify what students should know after completing each unit, and assessments are included to ensure that learners obtain a thorough understanding of mathematical concepts. Perfect as a supplement to classroom work, these workbooks will boost confidence in problem-solving and critical-thinking skills! |
| draw a model to represent the problem: The Singapore Model Method for Learning Mathematics Houghton Mifflin Harcourt, 2011-06-01 This monograph serves as a resource book on the Model Method. The main purpose is to make explicit how the Model Method is used to develop students' understanding of fundamental mathematics concepts and proficiency in solving basic mathematics word problems. Through the construction of a pictorial model to represent the known and unknown quantities and their relationships in a problem, students gain better understanding of the problem and develop their abilities in mathematical thinking and problem solving. This would provide a strong foundation for the learning of matheatics from the primary to secondary levels and beyond. This monograph also features the Mathematics Framework of the Singapore mathematics curriculum, and discusses the changes that it has undergone over the past two decades. These changes reflected the changing emphases, needs and challenges in the mathematics curriculum as we entered the 21s century. |
| draw a model to represent the problem: Eureka Math Curriculum Study Guide Common Core, 2015-03-23 Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 5 provides an overview of all of the Grade 5 modules, including Place Value and Decimal Fractions; Multi-Digit Whole Number and Decimal Fraction Operations; Addition and Subtraction of Fractions; Multiplication and Division of Fractions and Decimal Fractions; Addition and Multiplication with Volume and Areal; Problem Solving with the Coordinate Plane. |
| draw a model to represent the problem: Discrete Choice Methods with Simulation Kenneth Train, 2009-07-06 This book describes the new generation of discrete choice methods, focusing on the many advances that are made possible by simulation. Researchers use these statistical methods to examine the choices that consumers, households, firms, and other agents make. Each of the major models is covered: logit, generalized extreme value, or GEV (including nested and cross-nested logits), probit, and mixed logit, plus a variety of specifications that build on these basics. Simulation-assisted estimation procedures are investigated and compared, including maximum stimulated likelihood, method of simulated moments, and method of simulated scores. Procedures for drawing from densities are described, including variance reduction techniques such as anithetics and Halton draws. Recent advances in Bayesian procedures are explored, including the use of the Metropolis-Hastings algorithm and its variant Gibbs sampling. The second edition adds chapters on endogeneity and expectation-maximization (EM) algorithms. No other book incorporates all these fields, which have arisen in the past 25 years. The procedures are applicable in many fields, including energy, transportation, environmental studies, health, labor, and marketing. |
| draw a model to represent the problem: R for Data Science Hadley Wickham, Garrett Grolemund, 2016-12-12 Learn how to use R to turn raw data into insight, knowledge, and understanding. This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You'll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you've learned along the way. You'll learn how to: Wrangle—transform your datasets into a form convenient for analysis Program—learn powerful R tools for solving data problems with greater clarity and ease Explore—examine your data, generate hypotheses, and quickly test them Model—provide a low-dimensional summary that captures true signals in your dataset Communicate—learn R Markdown for integrating prose, code, and results |
| draw a model to represent the problem: Model Rules of Professional Conduct American Bar Association. House of Delegates, Center for Professional Responsibility (American Bar Association), 2007 The Model Rules of Professional Conduct provides an up-to-date resource for information on legal ethics. Federal, state and local courts in all jurisdictions look to the Rules for guidance in solving lawyer malpractice cases, disciplinary actions, disqualification issues, sanctions questions and much more. In this volume, black-letter Rules of Professional Conduct are followed by numbered Comments that explain each Rule's purpose and provide suggestions for its practical application. The Rules will help you identify proper conduct in a variety of given situations, review those instances where discretionary action is possible, and define the nature of the relationship between you and your clients, colleagues and the courts. |
| draw a model to represent the problem: Productive Math Struggle John J. SanGiovanni, Susie Katt, Kevin J. Dykema, 2020-03-09 All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work |
| draw a model to represent the problem: Multiply Numbers by Drawing Lines Presh Talwalkar, 2014-09-01 In May 2014, Presh Talwalkar made a YouTube video about how to multiply numbers by drawing lines. By the end of the month, the video received over a million views.Multiplying by lines is an innovative visual method to multiply numbers. It works like magic and gets people excited about math.This book illustrates how you can multiply by lines, enumerates the precise steps in the process, and offers examples of how to use the method. There are also novel applications of how one diagram can solve additional problems and how multiplying by lines can be used for algebraic expressions. The book includes 35 exercises with solutions. |
| draw a model to represent the problem: Problem-Solving Strategies Arthur Engel, 2008-01-19 A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a problem of the week, thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market. |
| draw a model to represent the problem: Interpretable Machine Learning Christoph Molnar, 2020 This book is about making machine learning models and their decisions interpretable. After exploring the concepts of interpretability, you will learn about simple, interpretable models such as decision trees, decision rules and linear regression. Later chapters focus on general model-agnostic methods for interpreting black box models like feature importance and accumulated local effects and explaining individual predictions with Shapley values and LIME. All interpretation methods are explained in depth and discussed critically. How do they work under the hood? What are their strengths and weaknesses? How can their outputs be interpreted? This book will enable you to select and correctly apply the interpretation method that is most suitable for your machine learning project. |
| draw a model to represent the problem: Linear perspective and model drawing Laurence Anderson, 1877 |
| draw a model to represent the problem: 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. |
| draw a model to represent the problem: 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. |
| draw a model to represent the problem: Ambitious Science Teaching Mark Windschitl, Jessica Thompson, Melissa Braaten, 2020-08-05 2018 Outstanding Academic Title, Choice Ambitious Science Teaching outlines a powerful framework for science teaching to ensure that instruction is rigorous and equitable for students from all backgrounds. The practices presented in the book are being used in schools and districts that seek to improve science teaching at scale, and a wide range of science subjects and grade levels are represented. The book is organized around four sets of core teaching practices: planning for engagement with big ideas; eliciting student thinking; supporting changes in students’ thinking; and drawing together evidence-based explanations. Discussion of each practice includes tools and routines that teachers can use to support students’ participation, transcripts of actual student-teacher dialogue and descriptions of teachers’ thinking as it unfolds, and examples of student work. The book also provides explicit guidance for “opportunity to learn” strategies that can help scaffold the participation of diverse students. Since the success of these practices depends so heavily on discourse among students, Ambitious Science Teaching includes chapters on productive classroom talk. Science-specific skills such as modeling and scientific argument are also covered. Drawing on the emerging research on core teaching practices and their extensive work with preservice and in-service teachers, Ambitious Science Teaching presents a coherent and aligned set of resources for educators striving to meet the considerable challenges that have been set for them. |
| draw a model to represent the problem: College Algebra Jay Abramson, 2018-01-07 College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory |
| draw a model to represent the problem: Interactive Modeling Margaret Berry Wilson, 2012 Be a more effective teacher by using this simple, yet transformative, technique for teaching essential academic and social skills, routines, and behaviors. Through Interactive Modeling, your students actively observe, model, and practice skills that can lead to higher, lasting achievements and kinder classrooms. You'll save time; they'll gain mastery!, You can use Interactive Modeling to help your students achieve success in: math, reading, writing, social studies, science, working in groups, making smooth transitions, using supplies carefully, test-taking, and more! Book jacket. |
| draw a model to represent the problem: Fractions Workbook, Grade 6 Spectrum, 2013-12-02 Spectrum(R) Fractions for grade 6, is designed to completely support and challenge sixth graders to master fractions. This 96-page math workbook goes into great depth about fractions and provides a wide range of examples, practice problems, and assessments to measure progress. --*Builds a foundation in adding, subtracting, multiplying, and dividing fractions --*Step-by-step examples introduce new concepts --*Pretests and Posttests to measure progress --*Problem solving and critical thinking exercises --*Correlated to the Common Core Standards --*Answer key. --The bestÐselling Spectrum(R) workbooks provide students with focused practice based on the essential skills they need to master for Common Core success. With explicit skill instruction, step-by-step examples, ample practice, as well as assessment tools for progress monitoring, students are provided everything they need to master specific math skills. SkillÐspecific Spectrum(R) workbooks are the perfect supplement for home or school. |
| draw a model to represent the problem: Show & Tell Dan Roam, 2014 A visual guide to making extraordinary presentations by the acclaimed author of The Back of the Napkin. We are all natural born presenters. We have ideas to share, voices to share them, and people to share them with. So why do most of us find public speaking so hard? In this pithy but powerful guide, communication expert Dan Roam provides a simple five-step path to take us from jitters and complexity to confidence and clarity. He explains his tried-and-true visual techniques and the wisdom he has gained from giving award-winning presentations. Roam shows us how to: - Clearly present any idea with simple visuals - Know our audience before we step in front of them - Channel fear into fun-- |
| draw a model to represent the problem: Dynamic Models in Biology Stephen P. Ellner, John Guckenheimer, 2011-09-19 From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering. |
| draw a model to represent the problem: Beyond Constructivism Richard A. Lesh, Helen M. Doerr, 2003-05-01 This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging models and modeling perspective about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas. |
| draw a model to represent the problem: Drawing A Hypothesis Nikolaus Gansterer, 2011-09-29 Drawing a Hypothesis is an exciting reader on the ontology of forms of visualizations and on the development of the diagrammatic view and its use in contemporary art, science and theory. In an intense process of exchange with artists and scientists, Nikolaus Gansterer reveals drawing as a media of research enabling the emergence of new narratives and ideas by tracing the speculative potential of diagrams. Based on a discursive analysis of found figures with the artists' own diagrammatic maps and models, the invited authors create unique correlations between thinking and drawing. Due to its ability to mediate between perception and reflection, drawing proves to be one of the most basic instruments of scientific and artistic practice, and plays an essential role in the production and communication of knowledge. The book is a rich compendium of figures of thought, which moves from scientific representation through artistic interpretation and vice versa. |
| draw a model to represent the problem: MATHEMATICS FOR ELEMENTARY TEACHERS. (PRODUCT ID 23864410). MICHELLE. MANES, 2018 |
| draw a model to represent the problem: Extreme Ownership Jocko Willink, Leif Babin, 2017-11-21 An updated edition of the blockbuster bestselling leadership book that took America and the world by storm, two U.S. Navy SEAL officers who led the most highly decorated special operations unit of the Iraq War demonstrate how to apply powerful leadership principles from the battlefield to business and life. Sent to the most violent battlefield in Iraq, Jocko Willink and Leif Babin’s SEAL task unit faced a seemingly impossible mission: help U.S. forces secure Ramadi, a city deemed “all but lost.” In gripping firsthand accounts of heroism, tragic loss, and hard-won victories in SEAL Team Three’s Task Unit Bruiser, they learned that leadership—at every level—is the most important factor in whether a team succeeds or fails. Willink and Babin returned home from deployment and instituted SEAL leadership training that helped forge the next generation of SEAL leaders. After departing the SEAL Teams, they launched Echelon Front, a company that teaches these same leadership principles to businesses and organizations. From promising startups to Fortune 500 companies, Babin and Willink have helped scores of clients across a broad range of industries build their own high-performance teams and dominate their battlefields. Now, detailing the mind-set and principles that enable SEAL units to accomplish the most difficult missions in combat, Extreme Ownership shows how to apply them to any team, family or organization. Each chapter focuses on a specific topic such as Cover and Move, Decentralized Command, and Leading Up the Chain, explaining what they are, why they are important, and how to implement them in any leadership environment. A compelling narrative with powerful instruction and direct application, Extreme Ownership revolutionizes business management and challenges leaders everywhere to fulfill their ultimate purpose: lead and win. |
| draw a model to represent the problem: Carr V. Koch , 2011 |
| draw a model to represent the problem: 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. |
| draw a model to represent the problem: Problem Solving in Mathematics Education Peter Liljedahl, Manuel Santos-Trigo, Uldarico Malaspina, Regina Bruder, 2016-06-27 This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled. |
| draw a model to represent the problem: 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. |
| draw a model to represent the problem: The Fourth Industrial Revolution Klaus Schwab, 2017-01-03 World-renowned economist Klaus Schwab, Founder and Executive Chairman of the World Economic Forum, explains that we have an opportunity to shape the fourth industrial revolution, which will fundamentally alter how we live and work. Schwab argues that this revolution is different in scale, scope and complexity from any that have come before. Characterized by a range of new technologies that are fusing the physical, digital and biological worlds, the developments are affecting all disciplines, economies, industries and governments, and even challenging ideas about what it means to be human. Artificial intelligence is already all around us, from supercomputers, drones and virtual assistants to 3D printing, DNA sequencing, smart thermostats, wearable sensors and microchips smaller than a grain of sand. But this is just the beginning: nanomaterials 200 times stronger than steel and a million times thinner than a strand of hair and the first transplant of a 3D printed liver are already in development. Imagine “smart factories” in which global systems of manufacturing are coordinated virtually, or implantable mobile phones made of biosynthetic materials. The fourth industrial revolution, says Schwab, is more significant, and its ramifications more profound, than in any prior period of human history. He outlines the key technologies driving this revolution and discusses the major impacts expected on government, business, civil society and individuals. Schwab also offers bold ideas on how to harness these changes and shape a better future—one in which technology empowers people rather than replaces them; progress serves society rather than disrupts it; and in which innovators respect moral and ethical boundaries rather than cross them. We all have the opportunity to contribute to developing new frameworks that advance progress. |
| draw a model to represent the problem: Architectural Graphics Francis D. K. Ching, 1975 The completely updated, illustrated bestseller on architectural graphics with over 500,000 copies sold Architectural Graphics presents a wide range of basic graphic tools and techniques designers use to communicate architectural ideas. Expanding upon the wealth of illustrations and information that have made this title a classic, this Fourth Edition provides expanded and updated coverage of drawing materials, multiview drawings, paraline drawings, and perspective drawings. Also new to this edition is the author's unique incorporation of digital technology into his successful methods. While covering essential drawing principles, this book presents: approaches to drawing section views of building interiors, methods for drawing modified perspectives, techniques for creating accurate shade and shadows, expert styles of freehand sketching and diagramming, and much more. |
| draw a model to represent the problem: Plato, Diagrammatic Reasoning and Mental Models Susanna Saracco, 2023-08-03 This book analyses the role of diagrammatic reasoning in Plato’s philosophy: the readers will realize that Plato, describing the stages of human cognitive development using a diagram, poses a logic problem to stimulate the general reasoning abilities of his readers. Following the examination of mental models in this book, the readers will reflect on what inferences can be useful to approach this kind of logic problem. Plato calls for a collaboration between writer and readers. In this book the readers will examine the connection between diagrams and discovery, realizing the important epistemic role of visualization. They will recognize the crucial role that diagrams play in problem solving. The logic problem elaborated by Plato is addressed considering the epistemic function of mental models. These models introduce to an advanced stage of cognitive development, in which reasoning uses in its investigations a higher-level of mathematical complexity, represented by structuralism. |
| draw a model to represent the problem: Math in Society David Lippman, 2012-09-07 Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well. |
| draw a model to represent the problem: American Machinist , 1887 |
| draw a model to represent the problem: Art and Representation John Willats, 1997 In Art and Representation, John Willats presents a radically new theory of pictures. To do this, he has developed a precise vocabulary for describing the representational systems in pictures: the ways in which artists, engineers, photographers, mapmakers, and children represent objects. His approach is derived from recent research in visual perception and artificial intelligence, and Willats begins by clarifying the key distinction between the marks in a picture and the features of the scene that these marks represent. The methods he uses are thus closer to those of a modern structural linguist or psycholinguist than to those of an art historian. Using over 150 illustrations, Willats analyzes the representational systems in pictures by artists from a wide variety of periods and cultures. He then relates these systems to the mental processes of picture production, and, displaying an impressive grasp of more than one scholarly discipline, shows how the Greek vase painters, Chinese painters, Giotto, icon painters, Picasso, Paul Klee, and David Hockney have put these systems to work. But this book is not only about what systems artists use but also about why artists from different periods and cultures have used such different systems, and why drawings by young children look so different from those by adults. Willats argues that the representational systems can serve many different functions beyond that of merely providing a convincing illusion. These include the use of anomalous pictorial devices such as inverted perspective, which may be used for expressive reasons or to distance the viewer from the depicted scene by drawing attention to the picture as a painted surface. Willats concludes that art historical changes, and the developmental changes in children's drawings, are not merely arbitrary, nor are they driven by evolutionary forces. Rather, they are determined by the different functions that the representational systems in pictures can serve. Like readers of Ernst Gombrich's famous Art and Illusion (still available from Princeton University Press), on which Art and Representation makes important theoretical advances, or Rudolf Arnheim's Art and Visual Perception, Willats's readers will find that they will never again return to their old ways of looking at pictures. |
| draw a model to represent the problem: The Mathematics Playbook John Almarode, Kateri Thunder, Michelle Shin, Douglas Fisher, Nancy Frey, 2024-02-27 Your Guide to Engaging and Effective Math Instruction With the latest research on what works best in teaching and learning, The Mathematics Playbook is your comprehensive guide to enhancing mathematics teaching and learning. With a focus on fostering equity and maximizing student learning, the authors provide practical modules that integrate the latest research on effective teaching practices, and answer four critical questions: How do we foster, nurture, and sustain mathematics learning? How do we ensure all learners have equity of access and opportunity? What are the non-negotiables in a high-quality mathematics task? How do we know if learners really get it? Through real-life examples and an emphasis on self-assessment and reflection, this playbook empowers you to create engaging and impactful learning experiences in mathematics. |
| draw a model to represent the problem: Mechanical Drawing Charles Oscar Eugene Perrigo, 1912 |
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Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Sketchpad 5.1 - Draw, Create, Share!
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Sketch.IO - The Maker of Sketchpad
Easily draw, edit photos, or design your next business card. Craft images for social media posts, digital ads, paper, or even apparel. Make a quick photo edit with the drag and drop feature, or …
Draw, Create, Share! - Sketchpad
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Sketch Mobile—Multi-touch drawing in HTML5.
Draw a “circle” to clear the canvas. Draw the letter “s” to take a shortcut to the style chooser. While holding the button, tap the screen with different finger combinations to access tool …
Sketchpad User Guide
Everything you need to know about Sketchpad. Watch videos for tips and tricks on how to use Sketchpad and get the most out of the app!
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Sketchpad: aplicación de dibujo online gratuita para todas las edades. Crea ilustraciones digitales para compartir en línea y expórtalas a los formatos de imágenes más populares JPEG, PNG, …
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