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Creating Symmetry
by Frank A. FarrisThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks--a sort of potato-stamp method--Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics.Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own.Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
Creating Target Publics for Welfare Policies: A Comparative And Multi-level Approach (Logic, Argumentation And Reasoning Ser. #17)
by Lorenzo Barrault-Stella Pierre-Edouard WeillThis volume analyzes welfare policies by looking at the making of their target publics. It examines how these populations are identified and constructed by policy making. The contributors apply the classic theoretical question about who gets what, when, and how, but also suggest the revisiting of policy-feedback analysis. Coverage includes empirical case studies in different geographical areas. It looks at Europe, the United States and also considers Mayotte, set in a post-colonial context. The chapters also examine different aspects of welfare, including the bureaucratic treatment of marginalized populations as well as the middle class.The authors draw on diverse conceptual approaches and investigative methodologies. They conduct participant observation in public or nonprofit organizations, explore administrative records, and interview actors at various stages of policymaking. This qualitative material is then combined with relevant quantitative data.Readers are guided through a multilevel approach of welfare policies, from their definition to their implementation. They gain insight into the targeting of publics, from the higher reaches of government to the most underprivileged groups of the social world. Overall, the book compares different national contexts and social policy fields. This approach unearths regularities, enabling the authors to reassess major contemporary transformations of the welfare State.
Creating a Culture of Integrity: Business Ethics for the 21st Century (Doshorts Ser.)
by Andrea Spencer-Cooke Fran van DijkFor companies, unethical business practices like bribery and corruption pose major business risks, and can result in fines, reputational damage, lost business opportunity and – increasingly – criminal or civil charges.Organizations have responded to this critical governance issue with rigorous formal integrity and compliance frameworks, to set out and enforce standards for ethical business practice. But companies also need to create an enduring culture of integrity that establishes doing the right thing as the cultural norm across the organization – and this requires more than compliance alone.Creating a Culture of Integrity identifies the key actions sustainability and compliance officers can take to foster this cultural shift within their organizations.This "one-stop" toolkit for embedding integrity also includes: inspiring best-practice case studies from companies who’ve implemented culture change, with insights on how they deal with ethical dilemmas when these arise and; powerful arguments to help you make the business case for building a strong ethical culture around your compliance system.
Creating a Language-Rich Math Class: Strategies and Activities for Building Conceptual Understanding
by Sandra L. AtkinsWhat meanings do your students have for key mathematics concepts? What meanings do you wish them to have? Creating a Language-Rich Math Class offers practical approaches for developing conceptual understandings by connecting concrete, pictorial, verbal, and symbolic representations. The focus is on making mathematics memorable instead of on memorizing. You’ll learn strategies for introducing students to math language that gives meaning to the terms and symbols they use everyday; for building flexibility and precision in students’ use of math language; and for structuring activities to make them more language-rich. Book Features: Detailed directions for sample games and activities for immediate classroom use; Investigations to Try and Questions for Reflection to assist in implementing these ideas into your practice; Graphic organizer for helping students first understand, solve, and defend their solutions to word problems; Blackline masters of game cards and puzzles (also available at http://www.routledge.com/books/details/9781138916296/)
Creating a Language-Rich Math Class: Strategies and Activities for Building Conceptual Understanding
by Sandra L. AtkinsWhat meanings do your students have for key mathematics concepts? What meanings do you wish them to have? Creating a Language-Rich Math Class offers practical approaches for developing conceptual understandings by connecting concrete, pictorial, verbal, and symbolic representations. The focus is on making mathematics memorable instead of on memorizing. You’ll learn strategies for introducing students to math language that gives meaning to the terms and symbols they use every day; for building flexibility and precision in students’ use of math language; and for structuring activities to make them more language-rich. This second edition also provides strategies for helping students to at times be quiet and listen to their peers; for purposefully using language to introduce students to more complex mathematical symbolism and algebraic properties; and for using writing prompts to zoom in on the meanings that individual students have given to the language-rich experiences. Appropriate for elementary teachers and instructional coaches, the book also includes features such as Investigations to Try and Questions for Reflection to help you incorporate these ideas into your practice. In addition, there are Blackline masters of game cards and puzzles, which can also be found on our website for free download at http://www.routledge.com/9780367759957.
Creative Mathematical Sciences Communication: 7th International Conference, CMSC 2024, Trier, Germany, October 7–10, 2024, Proceedings (Lecture Notes in Computer Science #15229)
by Henning Fernau Inge Schwank Jacqueline StaubThis book constitutes the refereed proceedings of the 7th International Conference on Computer Science and Mathematics , CMSC 2024, held in Trier, Germany, during October 7–10, 2024. The 17 full and short papers included in this book were carefully reviewed and selected from 26 submissions. They were organized in topical sections as follows: Invited Papers; Tactile Learning: Unplugged Graphs, Trees, and Patterns; Teaching Advanced Concepts Using Tangible Machines; Curricular Desicion-Making; Computational Thinking and Interdisciplinary Instruction; Innovative Teaching Beyond the Classroom.
Creative Maths Activities for Able Students: Ideas for Working with Children Aged 11 to 14
by Anne Price'All the ideas look easy to use and quick to prepare... This is a very interesting and thought provoking book - it manages to ask questions about how we teach able children but also provides some ideas and some materials to help' - The Association of Teachers of Mathematics Finding stimulating and challenging maths activities for able pupils in a mainstream classroom can be demanding for the busy teacher, especially if maths is not your specialism. Based on her experience as an Advanced Skills Teacher and LEA Consultant, Anne Price explains the issues and theories surrounding the education of able pupils and links these to practical, creative examples to be used in the classroom. Useful resources include: - Photocopiable materials, - Advice on different teaching styles, - Activities and tasks for individuals, groups or the whole class GATCOs, Numeracy Consultants, Learning Support Teachers and Student and class teachers looking for new and creative ways of teaching maths activities to able students will find this book invaluable.
Creative Problem Solving in School Mathematics
by George LenchnerSolutions to part c Problems Some problem solving Strategies Some Topics in Problem Solving Solutions to Part a Problems Solutions to Part b Problems Teaching Problem Solving
Creative Puzzles to Ignite Your Mind (Problem Books in Mathematics)
by Shyam Sunder GuptaThis book contains a large variety of intriguing puzzles with detailed ingenious solutions generally not found elsewhere. This book is a great treasure for everybody who enjoys the beauty of fascinating world of recreational mathematics. Puzzles in the book can be browsed at random as these are not grouped in any orderly manner. Apart from puzzle enthusiasts and mathlovers, the book is considered of immense value for aspirants of Math Olympiad, CAT/MBA and job interviews of big companies like Google, Microsoft, Amazon, Apple, Facebook, Yahoo, NVidia, Oracle, Adobe, Morgan Stanley, Bloomberg, etc. The title of puzzles has been suitably framed. Repetition of similar type of puzzles has been avoided to keep the book in a concise form. However, important aspects of similar puzzles, if any, have been covered in comments section. This book is divided into four chapters (Chaps. 1–4): Chapter 1 contains 25 short riddles and brainteasers. These puzzles vary from simple but tricky to challenging ones. Chapter 2 contains detailed solutions to all the short riddles and brainteasers given in Chapter 1. Chapter 3 contains 125 creative puzzles of varying difficulty level covering arithmetic and algebraic puzzles on clock, calendar, weight, age and digital puzzles, geometric puzzles, logical reasoning puzzles, and combinatorial puzzles, match puzzles and game puzzles like “kaun banega crorepati” (who will become a Decamillionaire), new year winner, winning numbers, etc. Some famous and old puzzles like Cheryl’s birthday, Bachets weight, liquid decanting, crossing bridge/river/desert, etc., have also been included so that readers can find all types of puzzles at one place. Only basic mathematics is required to solve these puzzles, but most of these puzzles are tricky and can be simplified by ingenious ideas. Chapter 4 contains detailed solutions to all the creative puzzles given in Chapter 3.
Creative Teaching: Mathematics in the Early Years and Primary Classroom
by Mary BriggsCreative Teaching is not only for the arts: this unique and stimulating book shows how mathematics and mathematics teaching can be creative, exciting and enjoyable. Offering teachers a dynamic and different perspective on mathematics, it enables them to see and teach in creative ways that will develop their pupil’s mathematical thinking potential. The book: supports the government’s Primary Strategy "Excellence and Enjoyment" covers both primary and early years range includes issues for reflection, discussion points and case studies addresses new teacher training modules on creativity and maths Aimed at primary and early years trainee teachers, NQTs and experienced teachers, this is a timely publication for teachers and schools seeking to broaden their maths curriculum, making it more creative and appealing to young minds.
Creative Teaching: Mathematics in the Primary Classroom
by Mary Briggs Sue DavisThis stimulating text shows how primary mathematics can be creative, exciting and enjoyable. Offering teachers a dynamic and different perspective, it enables them to see and teach in creative ways that will develop their pupil’s mathematical thinking potential. Creative Teaching: Mathematics in the Primary Classroom encourages students, trainees and practicing teachers to envision and develop a classroom where children can take risks, enjoy and experiment with mathematical thinking, and discover and pursue their interests and talents in an imaginative yet purposeful way. This second edition contains key updates to reflect the changes to the primary curriculum and includes: new sections on: specialist teaching, parental engagement and approaches to homework; creative classroom environments; working walls, displays and outdoor settings; links to assessment, speaking, listening and learning theory; use of media, film, news and stories for creative learning; cross-curricula work. Featuring reflective tasks in every chapter, this book will prove essential and inspiring reading for all trainee and practising teachers looking to develop their creative practice. Aimed at primary and early years trainee teachers, NQTs and experienced teachers, this is a timely publication for teachers and schools seeking to broaden their maths curriculum, making it more creative and appealing to young minds.
Creativity and Giftedness: Interdisciplinary perspectives from mathematics and beyond (Advances in Mathematics Education #6)
by Roza Leikin Bharath SriramanThis volume provides readers with a broad view on the variety of issues related to the educational research and practices in the field of Creativity in Mathematics and Mathematical Giftedness. The book explores (a) the relationship between creativity and giftedness; (b) empirical work with high ability (or gifted) students in the classroom and its implications for teaching mathematics; (c) interdisciplinary work which views creativity as a complex phenomena that cannot be understood from within the borders of disciplines, i. e. , to present research and theorists from disciplines such as neuroscience and complexity theory; and (d) findings from psychology that pertain the creatively gifted students. As a whole, this volume brings together perspectives from mathematics educators, psychologists, neuroscientists, and teachers to present a collection of empirical, theoretical and philosophical works that address the complexity of mathematical creativity and giftedness, its origins, nature, nurture and ways forward. In keeping with the spirit of the series, the anthology substantially builds on previous ZDM volumes on interdisciplinarity (2009), creativity and giftedness (2013).
Creativity and Innovation: Cognitive, Social, and Computational Approaches (Understanding Complex Systems)
by Ali A. Minai Paul B. Paulus Simona Doboli Jared B. KenworthyThis book focuses on the emergence of creative ideas from cognitive and social dynamics. In particular, it presents data, models, and analytical methods grounded in a network dynamics approach. It has long been hypothesized that innovation arises from a recombination of older ideas and concepts, but this has been studied primarily at an abstract level. In this book, we consider the networks underlying innovation – from the brain networks supporting semantic cognition to human networks such as brainstorming groups or individuals interacting through social networks – and relate the emergence of ideas to the structure and dynamics of these networks. Methods described include experimental studies with human participants, mathematical evaluation of novelty from group brainstorming experiments, neurodynamical modeling of conceptual combination, and multi-agent modeling of collective creativity. The main distinctive features of this book are the breadth of perspectives considered, the integration of experiments with theory, and a focus on the combinatorial emergence of ideas.
Creativity and Technology in Mathematics Education (Mathematics Education in the Digital Era #10)
by Viktor Freiman Janet Lynne TassellThis volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.
Creativity in the Age of Digital Reproduction: xArch Symposium (Lecture Notes in Civil Engineering #343)
by Davide Lombardi Giancarlo Di Marco Mia TedjosaputroInspired by this symposium we would like to rethink and provide an insight about the use of new technologies in architecture and design. The consideration spans over (but not limited to) computational design, virtual experience, digital fabrication, artificial intelligence and sustainability/environment. Readers of the proceedings will benefit from discussions on how adoption of new technologies can benefit the Construction Industry rather than just for the sake of leveraging new technologies. The book targets scholars and high-education level students, as well as Ph.D.s which research falls into the broad realm of digital design.
Creators of Intelligence: Industry secrets from AI leaders that you can easily apply to advance your data science career
by John K. Thompson Dr. Alex AnticGet your hands on the secret recipe for a rewarding career in data science from 18 AI leadersPurchase of the print or Kindle book includes a free PDF eBookKey FeaturesGain access to insights and expertise from data science leaders shared in one-on-one interviewsGet pragmatic advice on how to become a successful data scientist and data science leaderReceive guidance to overcome common pitfalls and challenges and ensure your projects' successBook DescriptionA Gartner prediction in 2018 led to numerous articles stating that "85% of AI and machine learning projects fail to deliver.” Although it's unclear whether a mass extinction event occurred for AI implementations at the end of 2022, the question remains: how can I ensure that my project delivers value and doesn't become a statistic? The demand for data scientists has only grown since 2015, when they were dubbed the new “rock stars” of business. But how can you become a data science rock star? As a new senior data leader, how can you build and manage a productive team? And what is the path to becoming a chief data officer? Creators of Intelligence is a collection of in-depth, one-on-one interviews where Dr. Alex Antic, a recognized data science leader, explores the answers to these questions and more with some of the world's leading data science leaders and CDOs. Interviews with: Cortnie Abercrombie, Edward Santow, Kshira Saagar, Charles Martin, Petar Velickovic, Kathleen Maley, Kirk Borne, Nikolaj Van Omme, Jason Tamara Widjaja, Jon Whittle, Althea Davis, Igor Halperin, Christina Stathopoulos, Angshuman Ghosh, Maria Milosavljevic, Dr. Meri Rosich, Dat Tran, and Stephane Doyen.What you will learnFind out where to start with AI ethics and how to evolve from frameworks to practiceDiscover tips on building and managing a data science teamReceive advice for organizations seeking to build or mature a data science capabilityStop beating your head against a brick wall – pick the environment that'll support your successRead stories from successful data leaders as they reflect on the successes and failures in data strategy developmentUnderstand how business areas can best work with data science teams to drive business valueWho this book is forThis book is for a wide range of audience, from people working in the data science industry through to data science leaders and chief data officers. This book will also cater to senior business leaders interested in learning how data and analytics are used to support decision-making in different domains and sectors. Students contemplating a career in artificial intelligence (AI) and the broader data sector will also find this book useful, along with anyone developing and delivering university-level education, including undergraduate, postgraduate, and executive programs.
Creators of Mathematical and Computational Sciences
by Ravi P Agarwal Syamal K SenThe book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
Creature Numbers
by Andrew ZuckermanLearn the rainbow with red snakes, orange fish, and yellow birds. Learn to count as two scorpions fight, four penguins waddle, and nine ants work. Andrew Zuckerman's vivid pictures of fascinating animals from around the world will enthrall young readers and teach basic colors and numbers in a celebration of nature in two books that bring the wildly successful photographer's work to a whole new audience. The up-close and personal photos of everyone's favorite animals make these board books perfect educational tools for any child, and stunning works of art for animal lovers of all ages.
Creature Numbers
by Andrew ZuckermanLearn the rainbow with red snakes, orange fish, and yellow birds. Learn to count as two scorpions fight, four penguins waddle, and nine ants work. Andrew Zuckerman's vivid pictures of fascinating animals from around the world will enthrall young readers and teach basic colors and numbers in a celebration of nature in two books that bring the wildly successful photographer's work to a whole new audience. The up-close and personal photos of everyone's favorite animals make these board books perfect educational tools for any child, and stunning works of art for animal lovers of all ages.
Credibilistic Programming: An Introduction to Models and Applications (Uncertainty and Operations Research)
by Xiang LiIt provides fuzzy programming approach to solve real-life decision problems in fuzzy environment. Within the framework of credibility theory, it provides a self-contained, comprehensive and up-to-date presentation of fuzzy programming models, algorithms and applications in portfolio analysis.
Credit Rating Migration Risks in Structure Models
by Bei Hu Jin LiangThe book provides the latest research results on measuring Credit Rating Migration by mathematical methods. It brings about most popular mathematical models, methods and applications on this area, especially presents the latest development on structure models. It is systematically collects the models, methods and results in this area. The book first introduced the financial background and preliminary mathematical theory. Then two mainstream mathematical models for measuring default risks, the reduced form model and structure model, are presented. The structure model for measuring credit rating migration risks is the main part of the book and authors prove the existence, uniqueness, regularities, asymptotic behavior, traveling wave and other properties of the solutions of the model. The structural credit rating migration model is also extended to more general case, such as stochastic interest rate, multiple ratings, region switch and so on. Some credit derivatives, and numerical analysis, parameter calibration and estimate of the migration boundary of the models are given in the last two chapters. The book focuses on theoretical financial investigators, especially financial mathematical researchers and students. The book is involved various mathematical models, such as PDE, numerical simulation etc., some of them are interesting mathematical problems, so that, and a good reference book to study mathematical modeling in credit rating migration. It might also be used as a textbook for students in financial credit risks.
Credit Risk: Models, Derivatives, and Management (Chapman and Hall/CRC Financial Mathematics Series)
by Niklas WagnerFeaturing contributions from leading international academics and practitioners, Credit Risk: Models, Derivatives, and Management illustrates how a risk management system can be implemented through an understanding of portfolio credit risks, a set of suitable models, and the derivation of reliable empirical results.Divided into six sectio
Credit-Risk Modelling: Theoretical Foundations, Diagnostic Tools, Practical Examples, And Numerical Recipes In Python
by David Jamieson BolderThe risk of counterparty default in banking, insurance, institutional, and pension-fund portfolios is an area of ongoing and increasing importance for finance practitioners. It is, unfortunately, a topic with a high degree of technical complexity. Addressing this challenge, this book provides a comprehensive and attainable mathematical and statistical discussion of a broad range of existing default-risk models. Model description and derivation, however, is only part of the story. Through use of exhaustive practical examples and extensive code illustrations in the Python programming language, this work also explicitly shows the reader how these models are implemented. Bringing these complex approaches to life by combining the technical details with actual real-life Python code reduces the burden of model complexity and enhances accessibility to this decidedly specialized field of study. The entire work is also liberally supplemented with model-diagnostic, calibration, and parameter-estimation techniques to assist the quantitative analyst in day-to-day implementation as well as in mitigating model risk. Written by an active and experienced practitioner, it is an invaluable learning resource and reference text for financial-risk practitioners and an excellent source for advanced undergraduate and graduate students seeking to acquire knowledge of the key elements of this discipline.
Cremona Groups and the Icosahedron (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Ivan Cheltsov Constantin ShramovCremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The book surveys known facts about surfaces with an action of A5, explores A5-equivariant geometry of the quintic del Pezzo threefold V5, and gives a proof of its A5-birational rigidity.The a
Cricket Performance Management: Mathematical Formulation and Analytics (Indian Statistical Institute Series)
by Diganta Mukherjee Hemanta Saikia Dibyojyoti BhattacharjeeThis book focuses on the application of data mining techniques in cricket. It provides detailed examples of how data mining can be helpful for decision-making in sports with special reference to cricket, particularly the quantitative features related to Twenty20 cricket, the latest and the most popular format of the game. The book highlights the performance quantification of cricketers (batsmen, bowlers, all-rounders, and wicket keepers), determining the market valuation of cricketers based on their on-field performances and the effect of age on the performance of the cricketers. It also provides a comprehensive overview of the different aspects of the game where quantitative techniques are beneficial, and highlights the use of statistical and data mining tools in analysing sports-related data and objective decision-making in sports. The book appeals to a wide readership, including postgraduate students of statistics/mathematics, data analysts, sports management bodies. It also offers data miners, such as researchers in statistics, mathematics, operations research, and computer science ideas for projects.