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Edexcel A Level Further Mathematics Year 2
by Ben Sparks Claire Baldwin Jan DangerfieldExam Board: EdexcelLevel: AS/A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018Endorsed for EdexcelBuild your students' confidence in applying mathematical techniques to solving problems with resources developed with leading Assessment Consultant Keith Pledger and Mathematics in Education and Industry (MEI).Build reasoning and problem-solving skills with practice questions and well-structured exercises that build skills and mathematical techniques.Develop a fuller understanding of mathematical concepts with real world examples that help build connections between topics and develop mathematical modelling skills.Address misconceptions and develop problem-solving with annotated worked examples.Supports students at every stage of their learning with graduated exercises that build understanding and measure progress.Provide clear paths of progression that combine pure and applied maths into a coherent whole.Reinforce Year 1 content with short review chapters - Year 2 only.
Edexcel A Level Further Mathematics Year 2
by Ben Sparks Claire BaldwinExam Board: EdexcelLevel: AS/A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2019Endorsed for EdexcelBuild your students' confidence in applying mathematical techniques to solving problems with resources developed with leading Assessment Consultant Keith Pledger and Mathematics in Education and Industry (MEI).- Build reasoning and problem-solving skills with practice questions and well-structured exercises that build skills and mathematical techniques.- Develop a fuller understanding of mathematical concepts with real world examples that help build connections between topics and develop mathematical modelling skills.- Address misconceptions and develop problem-solving with annotated worked examples.- Supports students at every stage of their learning with graduated exercises that build understanding and measure progress.- Provide clear paths of progression that combine pure and applied maths into a coherent whole.- Reinforce Year 1 content with short review chapters - Year 2 only.
Edexcel A Level Mathematics Year 1 (AS)
by Val Hanrahan Sophie Goldie Cath Moore Jean-Paul Muscat Susan WhitehouseExam Board: EdexcelLevel: AS/A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018Endorsed for Edexcel Help students to develop their knowledge and apply their reasoning to mathematical problems with worked examples, stimulating activities and assessment support tailored to the 2017 Edexcel specification.The content benefits from the expertise of subject specialist Keith Pledger and the support of MEI (Mathematics in Education and Industry).-Prepare students for assessment with skills-building activities, worked examples and practice questions tailored to the changed criteria.-Develop a fuller understanding of mathematical concepts with real world examples that help build connections between topics and develop mathematical modelling skills.-Cement understanding of problem-solving, proof and modelling with dedicated sections on these key areas.-Confidently teach the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets.-Cover the use of technology in Mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphing calculators. -Provide clear paths of progression that combine pure and applied maths into a coherent whole.
Edexcel A Level Mathematics Year 2
by Val Hanrahan Sophie Goldie Cath Moore Jean-Paul Muscat Susan WhitehouseHelp students to develop their knowledge and apply their reasoning to mathematical problems with worked examples, stimulating activities and assessment support tailored to the 2017 Edexcel specification.The content benefits from the expertise of subject specialist Keith Pledger and the support of MEI (Mathematics in Education and Industry).- Prepare students for assessment with skills-building activities, worked examples and practice questions tailored to the changed criteria.- Develop a fuller understanding of mathematical concepts with real world examples that help build connections between topics and develop mathematical modelling skills.- Cement understanding of problem-solving, proof and modelling with dedicated sections on these key areas.- Confidently teach the new statistics requirements with five dedicated statistics chapters and questions around the use of large data sets.- Cover the use of technology in Mathematics with a variety of questions based around the use of spreadsheets, graphing software and graphing calculators. - Provide clear paths of progression that combine pure and applied maths into a coherent whole.- Reinforce Year 1 content with short review chapters - Year 2 only.
Edexcel International GCSE (9-1) Mathematics Student Book Third Edition
by Alan King Alan Smith Sophie GoldieEndorsed for EdexcelNurture and strengthen your students' mathematical skills; these expert-written textbooks consolidate knowledge with worked examples, test key skills through practice and extend learning using enrichment activities designed to excite and challenge students.- Support and develop a deeper understanding of topics with plenty of worked examples and practice questions that follow the types of problems students are likely to face- Introduce students to content with fun activities and clear learning objectives at the start of each chapter- Build problem-solving skills with questions that test students' knowledge and comprehension- Further understanding and ignite an enthusiasm for maths with 'internet challenges' that extend learning beyond the curriculum and help to engage students- Offer a complete package of support with free downloadable resources that include detailed worked examples and answers, plus informative 'Personal Tutor' videos for each chapter
Edge Detection Methods Based on Generalized Type-2 Fuzzy Logic
by Oscar Castillo Patricia Melin Juan R. Castro Claudia I. GonzalezIn this book four new methods are proposed. In the first method the generalized type-2 fuzzy logic is combined with the morphological gra-dient technique. The second method combines the general type-2 fuzzy systems (GT2 FSs) and the Sobel operator; in the third approach the me-thodology based on Sobel operator and GT2 FSs is improved to be applied on color images. In the fourth approach, we proposed a novel edge detec-tion method where, a digital image is converted a generalized type-2 fuzzy image. In this book it is also included a comparative study of type-1, inter-val type-2 and generalized type-2 fuzzy systems as tools to enhance edge detection in digital images when used in conjunction with the morphologi-cal gradient and the Sobel operator. The proposed generalized type-2 fuzzy edge detection methods were tested with benchmark images and synthetic images, in a grayscale and color format. Another contribution in this book is that the generalized type-2 fuzzy edge detector method is applied in the preprocessing phase of a face rec-ognition system; where the recognition system is based on a monolithic neural network. The aim of this part of the book is to show the advantage of using a generalized type-2 fuzzy edge detector in pattern recognition applications. The main goal of using generalized type-2 fuzzy logic in edge detec-tion applications is to provide them with the ability to handle uncertainty in processing real world images; otherwise, to demonstrate that a GT2 FS has a better performance than the edge detection methods based on type-1 and type-2 fuzzy logic systems.
Edge Intelligence in the Making: Optimization, Deep Learning, and Applications (Synthesis Lectures on Learning, Networks, and Algorithms)
by Xu Chen Junshan Zhang Sen Lin Zhi Zhou Zhaofeng ZhangThis book conducts a comprehensive and detailed survey of the recent research efforts in edge intelligence. The authors first review the background and present motivation for AI running at the network edge. The book then provides an overview of the overarching architectures, frameworks, and emerging key technologies for deep learning models toward training/inference at the network edge. To illustrate the research problems for edge intelligence, the book also showcases four of the authors' own research projects on edge intelligence, ranging from rigorous theoretical analysis to studies based on realistic implementation. This second edition incorporates the latest research in this rapidly developing area. The authors also highlight the current applications and future research opportunities for edge intelligence.
Edmond Halley’s Reconstruction of the Lost Book of Apollonius’s Conics
by Michael N. FriedApollonius's Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic. By the time the Arabic translations were produced, the eighth book had already been lost. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an edition of the Greek text of the Conics of Books I-IV, a translation into Latin from the Arabic versions of Books V-VII, and a reconstruction of Book VIII. The present work provides the first complete English translation of Halley's reconstruction of Book VIII with supplementary notes on the text. It also contains 1) an introduction discussing aspects of Apollonius's Conics 2) an investigation of Edmond Halley's understanding of the nature of his venture into ancient mathematics, and 3) an appendices giving a brief account of Apollonius's approach to conic sections and his mathematical techniques. This book will be of interest to students and researchers interested in the history of ancient Greek mathematics and mathematics in the early modern period.
Educating Indigenous Children in Australian Juvenile Justice Systems: Culturally Responsive Pedagogy in Mathematics
by Bronwyn Ewing Grace SarraThis book addresses key issues in the context of the national policy of educating children accused of crimes in Juvenile Courts in Australia. For several decades, National and State Governments in Australia have struggled to define education, constantly seeking to improve the way society applies the concept. This book presents an accurate portrayal of consequences of the education policy of trying to educate troubled children and young people in trouble with the law. It describes the work of juvenile detention centre mathematics teachers and their teaching contexts. It portrays teachers as learners, who ventured with researchers with a theoretical perspective. This book focuses on culturally responsive pedagogies that seek to understand the ways Indigenous children and young people in juvenile detention make sense of their mathematical learning, which, until the time of detention, has been plagued by failure. It examines how the underperformance of Aboriginal and Torres Strait Islander students, and students from low socioeconomic backgrounds are strong determinants of their overrepresentation in the juvenile justice system in Australia. This book presents the argument that if the students’ literacy and numeracy levels can be improved, there is opportunity to build better futures away from involvement in the juvenile justice system and towards productive employment to improve life chances.
Educating Prospective Secondary Mathematics Teachers: Knowledge, Identity, And Pedagogical Practices (ICME-13 Monographs)
by Marilyn E. Strutchens Rongjin Huang Leticia Losano Despina PotariThis book highlights innovative approaches to preparing secondary mathematics teachers. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for preparing secondary mathematics teachers, and discusses issues related to their professional and personal growth, such as identity, content knowledge, and pedagogical content knowledge which also includes knowledge of integrating technology into teaching and learning mathematics. Divided into four parts, the book focuses on field experiences, technologies, tools and resources, teacher knowledge, and teacher professional identities. Some of the main threads running through the book are: the importance of university and school partners working together to ensure preservice secondary mathematics teacher’ success in developing pedagogical strategies that lead toward students’ mathematical engagement and achievement; the critical need for preservice secondary mathematics teachers to develop strong content knowledge and pedagogical content knowledge; and the importance of providing opportunities, during pre-service education, for developing prospective teachers ´professional identities.
Educational Assortative Mating in Japan: Insights into Social Change and Stratification (SpringerBriefs in Population Studies)
by James M. Raymo Fumiya UchikoshiThis book represents a first attempt to comprehensively discuss and investigate causes and potential implications of changing patterns of spouse pairing in Japan and to consider similarities and differences with patterns observed in the USA and other low-fertility Western societies. In this book, research on educational assortative mating in Japan is summarized and updated. This book contributes to research on the demography of contemporary Japan by overviewing theoretical and empirical linkages between marriage behavior and processes of social and economic stratification. It also extends the large body of research on assortative mating and stratification by incorporating insights from the understudied context of Japan. The authors draw upon multiple data sources – both survey and administrative data – to update and extend previous research on “who marries whom” in Japan. The wide range of consequences considered includes income inequality, the intergenerational transmission of advantage and disadvantage, marriage and fertility timing, lifelong singlehood, childlessness, and the family roles of husbands and wives. Throughout the manuscript, Japan is considered in comparative perspective by employing the large USA and international literatures on assortative mating.
Educational Data Analytics for Teachers and School Leaders (Advances in Analytics for Learning and Teaching)
by Dirk Ifenthaler Demetrios Sampson Michail Giannakos Zacharoula Papamitsiou Sofia Mougiakou Dimitra VinatsellaEducational Data Analytics (EDA) have been attributed with significant benefits for enhancing on-demand personalized educational support of individual learners as well as reflective course (re)design for achieving more authentic teaching, learning and assessment experiences integrated into real work-oriented tasks.This open access textbook is a tutorial for developing, practicing and self-assessing core competences on educational data analytics for digital teaching and learning. It combines theoretical knowledge on core issues related to collecting, analyzing, interpreting and using educational data, including ethics and privacy concerns. The textbook provides questions and teaching materials/ learning activities as quiz tests of multiple types of questions, added after each section, related to the topic studied or the video(s) referenced. These activities reproduce real-life contexts by using a suitable use case scenario (storytelling), encouraging learners to link theory with practice; self-assessed assignments enabling learners to apply their attained knowledge and acquired competences on EDL. By studying this book, you will know where to locate useful educational data in different sources and understand their limitations; know the basics for managing educational data to make them useful; understand relevant methods; and be able to use relevant tools; know the basics for organising, analysing, interpreting and presenting learner-generated data within their learning context, understand relevant learning analytics methods and be able to use relevant learning analytics tools; know the basics for analysing and interpreting educational data to facilitate educational decision making, including course and curricula design, understand relevant teaching analytics methods and be able to use relevant teaching analytics tools; understand issues related with educational data ethics and privacy.This book is intended for school leaders and teachers engaged in blended (using the flipped classroom model) and online (during COVID-19 crisis and beyond) teaching and learning; e-learning professionals (such as, instructional designers and e-tutors) of online and blended courses; instructional technologists; researchers as well as undergraduate and postgraduate university students studying education, educational technology and relevant fields.
Educational Encounters: Nordic Studies in Early Childhood Didactics
by Ingrid Pramling Samuelsson Niklas PramlingQualitative analyses of young children's learning in natural settings are rare, so this new book will make educators sit up and pay attention. It lays out a Nordic, or continental European teaching and learning paradigm whose didactic framework is distinct from the Anglo-American system. This analysis, which features contributions and case studies from researchers in a range of subjects, is built on principles such as the learner's perspective, establishing sufficient intersubjectivity, 'pointing out', and informing experience linguistically. After clarifying some historical background, the book discusses the contemporary emphasis in early childhood education on pedagogy/learning. What should 'didactics' mean in educating young children? The book examines the opportunities for learning that teachers provide for children in early childhood education, as well as how children respond to these opportunities. It presents empirical studies from a variety of naturalistic settings, including mathematics, making visual art, ecology, music, dance, literacy and story-telling, as well as learning about gender, morality and democracy. The authors seek to answer key questions about the processes involved in both teaching and learning. What challenges do teachers face as they try to expand children's knowledge in various fields of learning? How do they respond to these challenges, and what can we learn about children's corresponding uptake? What now requires further research? One key distinction in researching children's learning is between studies that look at 'process' and those that analyze 'product'. In the tradition of Piaget, Vygotsky and Werner, as well as Mercer and Valsiner's more recent work, this book advocates the importance and relative rareness of the former type of study.
Educational Interfaces between Mathematics and Industry
by Alain Damlamian José Francisco Rodrigues Rudolf SträßerThis book is the "Study Book" of ICMI-Study no. 20, which was run in cooperation with the International Congress on Industry and Applied Mathematics (ICIAM). The editors were the co-chairs of the study (Damlamian, Straesser) and the organiser of the Study Conference (Rodrigues). The text contains a comprehensive report on the findings of the Study Conference, original plenary presentations of the Study Conference, reports on the Working Groups and selected papers from all over world. This content was selected by the editors as especially pertinent to the study each individual chapter represents a significant contribution to current research.
Educational Paths to Mathematics
by Uwe Gellert Joaquim Giménez Rodríguez Corinne Hahn Sonia KafoussiThis book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education. The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader's place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l'Etude et l'Amélioration de l'Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.
Educational Research: Competencies for Analysis and Applications
by Geoffrey E. Mills Lorraine R. GayLike the tenth edition, the eleventh edition reflects a combination of both unsolicited and solicited input. Positive feedback suggested aspects of the text that should not be changed--the writing style and the focus on ethical practice, for example. Those aspects remain.
Educational Research: Planning, Conducting, and Evaluating Quantitative and Qualitative Research
by John W. CreswellEducational Research: Planning, Conducting, and Evaluating Quantitative and Qualitative Research offers a truly balanced, inclusive, and integrated overview of the field as it currently stands. This text provides thorough coverage of the methods and procedures used in quantitative, qualitative, and mixed-methods research. It helps students learn how to begin to conduct research and see a project through preparation of a manuscript, and it also helps students learn how to read and evaluate research reports.
Educational and Psychological Measurement
by W. Holmes Finch Brian F. FrenchThis new text provides the most current coverage of measurement and psychometrics in a single volume. Authors W. Holmes Finch and Brian F. French first review the basics of psychometrics and measurement, before moving on to more complex topics such as equating and scaling, item response theory, standard setting, and computer adaptive testing. Also included are discussions of cutting-edge topics utilized by practitioners in the field, such as automated test development, game-based assessment, and automated test scoring. This book is ideal for use as a primary text for graduate-level psychometrics/measurement courses, as well as for researchers in need of a broad resource for understanding test theory.
Educators' Learning from Lesson Study: Mathematics for Ages 5-13 (WALS-Routledge Lesson Study Series)
by Tad Watanabe Akihiko Takahashi Thomas McDougal Shelley FriedkinOffering voices from the field – the first of its kind outside of Japan – this guide to teaching and learning elementary mathematics highlights real case examples from teachers and educators who share what they have learned through Lesson Study. The teachers’ reports provide vivid examples of new insights and ideas about mathematics, about pedagogy and lesson design, about student learning, and about professional collaboration gained through Lesson Study. Each report includes an abbreviated plan of the specific research lesson that led to the new insights, which readers can draw from to replicate the powerful learning in their own community. The case examples of this book are from Lesson Study in mathematics, elementary to lower secondary grade levels, focused on what teachers and educators have learned about improving mathematics teaching and learning; but many ideas from each report can be applied to other subjects and different grade levels. This unique book will be an excellent resource for mathematics teachers in training and practice who seek to improve mathematics teaching and learning in their own and others’ classrooms, including researchers and school administrators who lead professional development.
Effect Sizes for Research: Univariate and Multivariate Applications, Second Edition
by Robert J. Grissom John J. KimNoted for its comprehensive coverage, this greatly expanded new edition now covers the use of univariate and multivariate effect sizes. Many measures and estimators are reviewed along with their application, interpretation, and limitations. Noted for its practical approach, the book features numerous examples using real data for a variety of variables and designs, to help readers apply the material to their own data. Tips on the use of SPSS, SAS, R, and S-Plus are provided. The book's broad disciplinary appeal results from its inclusion of a variety of examples from psychology, medicine, education, and other social sciences. Special attention is paid to confidence intervals, the statistical assumptions of the methods, and robust estimators of effect sizes. The extensive reference section is appreciated by all. With more than 40% new material, highlights of the new editon include: three new multivariate chapters covering effect sizes for analysis of covariance, multiple regression/correlation, and multivariate analysis of variance more learning tools in each chapter including introductions, summaries, "Tips and Pitfalls" and more conceptual and computational questions more coverage of univariate effect sizes, confidence intervals, and effect sizes for repeated measures to reflect their increased use in research more software references for calculating effect sizes and their confidence intervals including SPSS, SAS, R, and S-Plus the data used in the book are now provided on the web along with new data and suggested calculations with IBM SPSS syntax for computational practice. Effect Sizes for Research covers standardized and unstandardized differences between means, correlational measures, strength of association, and parametric and nonparametric measures for between- and within-groups data. Intended as a resource for professionals, researchers, and advanced students in a variety of fields, this book is also an excellent supplement for advanced statistics courses in psychology, education, the social sciences, business, and medicine. A prerequisite of introductory statistics through factorial analysis of variance and chi-square is recommended.
Effective Action in Quantum Gravity
by I.L BuchbinderIn part one of Effective Action in Quantum Gravity, the book describes the principles of quantum field theory and the significance of and theory behind effective action. Part two deals with quantum field theory in curved space-time and the effective action. These two parts provide the tools for understanding the rest of the book, which is devoted to selected problems of quantum gravity where the effective action plays a major role. The book assumes only a basic understanding of quantum field theory and general relativity and will be of interest to postgraduate students and researchers in theoretical high-energy physics and gravitational theory.
Effective CRM using Predictive Analytics
by Antonios ChorianopoulosA step-by-step guide to data mining applications in CRM. Following a handbook approach, this book bridges the gap between analytics and their use in everyday marketing, providing guidance on solving real business problems using data mining techniques. The book is organized into three parts. Part one provides a methodological roadmap, covering both the business and the technical aspects. The data mining process is presented in detail along with specific guidelines for the development of optimized acquisition, cross/ deep/ up selling and retention campaigns, as well as effective customer segmentation schemes. In part two, some of the most useful data mining algorithms are explained in a simple and comprehensive way for business users with no technical expertise. Part three is packed with real world case studies which employ the use of three leading data mining tools: IBM SPSS Modeler, RapidMiner and Data Mining for Excel. Case studies from industries including banking, retail and telecommunications are presented in detail so as to serve as templates for developing similar applications. Key Features: Includes numerous real-world case studies which are presented step by step, demystifying the usage of data mining models and clarifying all the methodological issues. Topics are presented with the use of three leading data mining tools: IBM SPSS Modeler, RapidMiner and Data Mining for Excel. Accompanied by a website featuring material from each case study, including datasets and relevant code. Combining data mining and business knowledge, this practical book provides all the necessary information for designing, setting up, executing and deploying data mining techniques in CRM. Effective CRM using Predictive Analytics will benefit data mining practitioners and consultants, data analysts, statisticians, and CRM officers. The book will also be useful to academics and students interested in applied data mining.
Effective Computation in Physics: Field Guide to Research with Python
by Kathryn D. Huff Anthony ScopatzMore physicists today are taking on the role of software developer as part of their research, but software development isnâ??t always easy or obvious, even for physicists. This practical book teaches essential software development skills to help you automate and accomplish nearly any aspect of research in a physics-based field.Written by two PhDs in nuclear engineering, this book includes practical examples drawn from a working knowledge of physics concepts. Youâ??ll learn how to use the Python programming language to perform everything from collecting and analyzing data to building software and publishing your results.In four parts, this book includes:Getting Started: Jump into Python, the command line, data containers, functions, flow control and logic, and classes and objectsGetting It Done: Learn about regular expressions, analysis and visualization, NumPy, storing data in files and HDF5, important data structures in physics, computing in parallel, and deploying softwareGetting It Right: Build pipelines and software, learn to use local and remote version control, and debug and test your codeGetting It Out There: Document your code, process and publish your findings, and collaborate efficiently; dive into software licenses, ownership, and copyright procedures
Effective Computational Methods for Wave Propagation
by Nikolaos A. Kampanis Vassilios A. Dougalis John A. EkaterinarisDue to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable
Effective Data Storytelling: How to Drive Change with Data, Narrative and Visuals
by Brent DykesMaster the art and science of data storytelling—with frameworks and techniques to help you craft compelling stories with data. The ability to effectively communicate with data is no longer a luxury in today’s economy; it is a necessity. Transforming data into visual communication is only one part of the picture. It is equally important to engage your audience with a narrative—to tell a story with the numbers. Effective Data Storytelling will teach you the essential skills necessary to communicate your insights through persuasive and memorable data stories. Narratives are more powerful than raw statistics, more enduring than pretty charts. When done correctly, data stories can influence decisions and drive change. Most other books focus only on data visualization while neglecting the powerful narrative and psychological aspects of telling stories with data. Author Brent Dykes shows you how to take the three central elements of data storytelling—data, narrative, and visuals—and combine them for maximum effectiveness. Taking a comprehensive look at all the elements of data storytelling, this unique book will enable you to: Transform your insights and data visualizations into appealing, impactful data stories Learn the fundamental elements of a data story and key audience drivers Understand the differences between how the brain processes facts and narrative Structure your findings as a data narrative, using a four-step storyboarding process Incorporate the seven essential principles of better visual storytelling into your work Avoid common data storytelling mistakes by learning from historical and modern examples Effective Data Storytelling: How to Drive Change with Data, Narrative and Visuals is a must-have resource for anyone who communicates regularly with data, including business professionals, analysts, marketers, salespeople, financial managers, and educators.