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Addressing Special Educational Needs and Disability in the Curriculum: Maths (Addressing SEND in the Curriculum)
by Max WallaceThe SEND Code of Practice (2015) reinforced the requirement that all teachers must meet the needs of all learners. This topical book provides practical, tried and tested strategies and resources that will support teachers in making maths lessons accessible and interesting for all pupils, including those with special needs. The author draws on a wealth of experience to share his understanding of special educational needs and disabilities and show how the maths teacher can reduce or remove any barriers to learning. Offering strategies that are specific to the context of maths teaching, this book will enable teachers to: adopt a ‘problem solving’ approach to ensure students use and apply mathematics at all times during their learning develop students’ understanding of mathematical ideas structure lessons to empower and actively engage students create a mutually supportive classroom which maximises learning opportunities plan the classroom layout and display to enhance learning, for example displaying number lines, vocabulary lists and pupils’ work successfully train and fully use the support of their teaching assistants. An invaluable tool for continuing professional development, this text will be essential for secondary maths teachers (and their teaching assistants) seeking guidance specific to teaching maths to all pupils, regardless of their individual needs. This book will also be of interest to secondary SENCOs, senior management teams and ITT providers. In addition to free online resources, a range of appendices provide maths teachers with a variety of pro forma and activity sheets to support effective teaching. This is an essential tool for maths teachers and teaching assistants, and will help to deliver successful, inclusive lessons for all pupils.
The ADI Model Problem
by Eugene WachspressThe ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems. This book provides application of theory to the solution of boundary value problems and description of stable similarity reduction of a full matrix to low-band upper Hessenberg form, with application to computation of eigenvalues and solution of Lyapunov and Sylvester equations. Also included are MATLAB programs and numerical verification of theory and applications.
Adjoint Equations and Perturbation Algorithms in Nonlinear Problems
by Guri I. Marchuk Valeri I. Agoshkov Victor P. ShutyaevSparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problemsProperties of adjoint operators and solvability conditions for adjoint equationsPerturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilationKnown results on adjoint equations and perturbation algorithms in nonlinear problemsThis groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.
Administrative Records for Survey Methodology (Wiley Series in Survey Methodology)
by Asaph Young Chun Michael D. Larsen Gabriele Durrant Jerome P. ReiterAddresses the international use of administrative records for large-scale surveys, censuses, and other statistical purposes Administrative Records for Survey Methodology is a comprehensive guide to improving the quality, cost-efficiency, and interpretability of surveys and censuses using administrative data research. Contributions from a team of internationally-recognized experts provide practical approaches for integrating administrative data in statistical surveys, and discuss the methodological issues—including concerns of privacy, confidentiality, and legality—involved in collecting and analyzing administrative records. Numerous real-world examples highlight technological and statistical innovations, helping readers gain a better understanding of both fundamental methods and advanced techniques for controlling data quality reducing total survey error. Divided into four sections, the first describes the basics of administrative records research and addresses disclosure limitation and confidentiality protection in linked data. Section two focuses on data quality and linking methodology, covering topics such as quality evaluation, measuring and controlling for non-consent bias, and cleaning and using administrative lists. The third section examines the use of administrative records in surveys and includes case studies of the Swedish register-based census and the administrative records applications used for the US 2020 Census. The book's final section discusses combining administrative and survey data to improve income measurement, enhancing health surveys with data linkage, and other uses of administrative data in evidence-based policymaking. This state-of-the-art resource: Discusses important administrative data issues and suggests how administrative data can be integrated with more traditional surveys Describes practical uses of administrative records for evidence-driven decisions in both public and private sectors Emphasizes using interdisciplinary methodology and linking administrative records with other data sources Explores techniques to leverage administrative data to improve the survey frame, reduce nonresponse follow-up, assess coverage error, mesaure linkage non-consent bias, and perform small area estimation. Administrative Records for Survey Methodology is an indispensable reference and guide for statistical researchers and methodologists in academia, industry, and government, particularly census bureaus and national statistical offices, and an ideal supplemental text for undergraduate and graduate courses in data science, survey methodology, data collection, and data analysis methods.
Admissibility and Hyperbolicity (Springerbriefs In Mathematics)
by Claudia Valls Luís Barreira Davor DragičevićThis book gives a comprehensive overview of the relationship between admissibility and hyperbolicity. Essential theories and selected developments are discussed with highlights to applications. The dedicated readership includes researchers and graduate students specializing in differential equations and dynamical systems (with emphasis on hyperbolicity) who wish to have a broad view of the topic and working knowledge of its techniques. The book may also be used as a basis for appropriate graduate courses on hyperbolicity; the pointers and references given to further research will be particularly useful.<P><P> The material is divided into three parts: the core of the theory, recent developments, and applications. The first part pragmatically covers the relation between admissibility and hyperbolicity, starting with the simpler case of exponential contractions. It also considers exponential dichotomies, both for discrete and continuous time, and establishes corresponding results building on the arguments for exponential contractions. The second part considers various extensions of the former results, including a general approach to the construction of admissible spaces and the study of nonuniform exponential behavior. Applications of the theory to the robustness of an exponential dichotomy, the characterization of hyperbolic sets in terms of admissibility, the relation between shadowing and structural stability, and the characterization of hyperbolicity in terms of Lyapunov sequences are given in the final part.
Admissible Consensus and Consensualization for Singular Multi-agent Systems (Engineering Applications of Computational Methods #11)
by Jianxiang Xi Le Wang Xiaogang Yang Jiuan Gao Ruitao LuThis book explores admissible consensus analysis and design problems concerning singular multi-agent systems, addressing various impact factors including time delays, external disturbances, switching topologies, protocol states, topology structures, and performance constraint. It also discusses the state-space decomposition method, a key technique that can decompose the motions of singular multi-agent systems into two parts: the relative motion and the whole motion. The relative motion is independent of the whole motion. Further, it describes the admissible consensus analysis and determination of the design criteria for different impact factors using the Lyapunov method, the linear matrix inequality tool, and the generalized Riccati equation method. This book is a valuable reference resource for graduate students of control theory and engineering and researchers in the field of multi-agent systems.
Adolescent Brain Cognitive Development Neurocognitive Prediction: First Challenge, ABCD-NP 2019, Held in Conjunction with MICCAI 2019, Shenzhen, China, October 13, 2019, Proceedings (Lecture Notes in Computer Science #11791)
by Kilian M. Pohl Wesley K. Thompson Ehsan Adeli Marius George LinguraruThis book constitutes the refereed proceedings of the First Challenge in Adolescent Brain Cognitive Development Neurocognitive Prediction, ABCD-NP 2019, held in conjunction with MICCAI 2019, in Shenzhen, China, in October 2019. 29 submissions were carefully reviewed and 24 of them were accepted. Some of the 24 submissions were merged and resulted in the 21 papers that are presented in this book. The papers explore methods for predicting fluid intelligence from T1-weighed MRI of 8669 children (age 9-10 years) recruited by the Adolescent Brain Cognitive Development Study (ABCD) study; the largest long-term study of brain development and child health in the United States to date.
Adult Continuing Education and High School Course Catalog
by Hadley Institute for the Blind Visually ImpairedAdult Continuing Education and High School Course Catalog 2016-2017. Catalog of current distance education courses for the blind or visually impaired. Various media for the courses is available including; Braille, CD, Digital Talking Books, Large Print, Online and more. Not all courses are available in all formats.
Adult Mortality in India: Trends, Socio-economic Disparities and Consequences (Sustainable Development Goals Series)
by Moradhvaj Dhakad Nandita SaikiaThis volume provides a comprehensive overview of the adult mortality situation in India. Each chapter ranges from general adult mortality patterns to its consequences in India. It discusses data-related challenges to studying adult mortality and examines the level, trends, and changing patterns, whether convergence or divergence of adult mortality across the regions from 1981 to 2015. Analyzing the mortality risk across different socioeconomic groups of the population in India, it examines the major underlying causes of adult death with a detailed analysis of external causes of death. The volume enhances the reader's understanding of adult health situations through the lenses of gender, caste, religion, rural-urban, economic status, and region of residence, and its severe consequences at the household level. It is a valuable addition to knowledge on demography, epidemiology, health economics, applied statistics, and public health studies worldwide. It is a must-reference work for Master's and Ph.D. scholars to explore India's and low- and middle-income countries' mortality situations.
Adults' Mathematical Thinking and Emotions: A Study of Numerate Practice (Studies In Mathematics Education Ser.)
by Jeff EvansThe crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy:*differences among social groups, especially those related to gender and social class*the inseparability of cognition and emotion in mathematical activity*the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories*how adults' numerate thinking and performance must be understood in context.The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety.
Advance in Structural Bioinformatics (Advances in Experimental Medicine and Biology #827)
by Dongqing Wei Qin Xu Tangzhen Zhao Hao DaiThis text examines in detail mathematical and physical modeling, computational methods and systems for obtaining and analyzing biological structures, using pioneering research cases as examples. As such, it emphasizes programming and problem-solving skills. It provides information on structure bioinformatics at various levels, with individual chapters covering introductory to advanced aspects, from fundamental methods and guidelines on acquiring and analyzing genomics and proteomics sequences, the structures of protein, DNA and RNA, to the basics of physical simulations and methods for conformation searches. This book will be of immense value to researchers and students in the fields of bioinformatics, computational biology and chemistry. Dr. Dongqing Wei is a Professor at the Department of Bioinformatics and Biostatistics, College of Life Science and Biotechnology, Shanghai Jiaotong University, Shanghai, China. His research interest is in the general area of structural bioinformatics.
Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations (River Publishers Series in Mathematical, Statistical and Computational Modelling for Engineering)
by Geeta Arora Mangey RamReal-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be used throughout engineering and the sciences. Almost any changing system may be described by a set of differential equations. They may be found just about anywhere you look in fields including physics, engineering, economics, sociology, biology, business, healthcare, etc. The nature of these equations has been investigated by several mathematicians over the course of hundreds of years and, consequently, numerous effective methods for solving them have been created. It is often impractical to find a purely analytical solution to a system described by a differential equation because either the system itself is too complex or the system being described is too vast. Numerical approaches and computer simulations are especially helpful in such systems. The content provided in this book involves real-world examples, explores research challenges in numerical treatment, and demonstrates how to create new numerical methods for resolving problems. Theories and practical applications in the sciences and engineering are also discussed. Students of engineering and applied mathematics, as well as researchers and engineers who use computers to solve problems numerically or oversee those who do, will find this book focusing on advance numerical techniques to solve linear and nonlinear differential equations useful.
Advanced Abacus
by Takashi KojimaThis volume is designed for the student desiring a greater understanding of the abacus and its calculative functions. The text provides thorough explanations of the advanced operations involving negative numbers, decimals, different units of measurement, and square roots. Diagrams illustrate bead manipulation, and numerous exercises provide ample practice. Concise and easy-to-follow, this book will improve your abacus skills and help you perform calculations with greater efficiency and precision.
Advanced Accounting
by Patrick Hopkins Robert HalseyAdvanced Accounting is intended for use in undergraduate and graduate accounting programs that include a course in advanced accounting as part of the curriculum. This book is especially written for advanced accounting courses in which an intuitive understanding of the material, in addition to accounting mechanics, is emphasized.
Advanced AI Techniques and Applications in Bioinformatics (Smart and Intelligent Computing in Engineering)
by Loveleen Gaur, Arun Solanki, Samuel Fosso Wamba and Noor Zaman JhanjhiThe advanced AI techniques are essential for resolving various problematic aspects emerging in the field of bioinformatics. This book covers the recent approaches in artificial intelligence and machine learning methods and their applications in Genome and Gene editing, cancer drug discovery classification, and the protein folding algorithms among others. Deep learning, which is widely used in image processing, is also applicable in bioinformatics as one of the most popular artificial intelligence approaches. The wide range of applications discussed in this book are an indispensable resource for computer scientists, engineers, biologists, mathematicians, physicians, and medical informaticists. Features: Focusses on the cross-disciplinary relation between computer science and biology and the role of machine learning methods in resolving complex problems in bioinformatics Provides a comprehensive and balanced blend of topics and applications using various advanced algorithms Presents cutting-edge research methodologies in the area of AI methods when applied to bioinformatics and innovative solutions Discusses the AI/ML techniques, their use, and their potential for use in common and future bioinformatics applications Includes recent achievements in AI and bioinformatics contributed by a global team of researchers
Advanced Aircraft Understanding via the Virtual Aircraft Model: Results of the German Research Initiative VitAM (Notes on Numerical Fluid Mechanics and Multidisciplinary Design #155)
by Ralf HeinrichThis book reports on the results of a four-year collaborative project between the German Aerospace Center (DLR), three German universities and the aircraft industry. The project was funded by the Ministry for Economic Affairs and Climate Action. In the book, different subprojects are presented, with their corresponding case studies. Readers will find extensive information on simulation strategies required for virtual flight testing, and verification and validation aspects. All in all, this book offers a timely update on the state-of-the-art in flow simulation techniques, flight mechanics methods, integrated multidisciplinary simulation, reduced-order models, and on the development of processes for automated generation of aerodynamic databases. It addresses both researchers and professionals in the field of aviation engineering.
Advanced Algebra
by The University of Chicago School MathematicsThe contains the mathematics that educates people around the world use in conversation, and that most colleges want or expect you to have studied. Familiar ideas such as properties of numbers, graphs, expressions, equations, and inequalities appear throughout the book. In addition, you will study many new topics, including matrices, logarithms, trigonometry, and conic sections. Throughout the course we will use the concept of function to help organize ideas.
Advanced Algebra
by The University of Chicago School Mathematics Project James Flanders Marshall LassakNIMAC-sourced textbook
Advanced Analysis and Learning on Temporal Data: First ECML PKDD Workshop, AALTD 2015, Porto, Portugal, September 11, 2015, Revised Selected Papers (Lecture Notes in Computer Science #9785)
by Ahlame Douzal-Chouakria José A. Vilar Pierre-François MarteauThis book constitutes the refereed proceedings of the First ECML PKDD Workshop, AALTD 2015, held in Porto, Portugal, in September 2016. The 11 full papers presented were carefully reviewed and selected from 22 submissions. The first part focuses on learning new representations and embeddings for time series classification, clustering or for dimensionality reduction. The second part presents approaches on classification and clustering with challenging applications on medicine or earth observation data. These works show different ways to consider temporal dependency in clustering or classification processes. The last part of the book is dedicated to metric learning and time series comparison, it addresses the problem of speeding-up the dynamic time warping or dealing with multi-modal and multi-scale metric learning for time series classification and clustering.
Advanced Analysis of Variance
by Chihiro HirotsuIntroducing a revolutionary new model for the statistical analysis of experimental data In this important book, internationally acclaimed statistician, Chihiro Hirotsu, goes beyond classical analysis of variance (ANOVA) model to offer a unified theory and advanced techniques for the statistical analysis of experimental data. Dr. Hirotsu introduces the groundbreaking concept of advanced analysis of variance (AANOVA) and explains how the AANOVA approach exceeds the limitations of ANOVA methods to allow for global reasoning utilizing special methods of simultaneous inference leading to individual conclusions. Focusing on normal, binomial, and categorical data, Dr. Hirotsu explores ANOVA theory and practice and reviews current developments in the field. He then introduces three new advanced approaches, namely: testing for equivalence and non-inferiority; simultaneous testing for directional (monotonic or restricted) alternatives and change-point hypotheses; and analyses emerging from categorical data. Using real-world examples, he shows how these three recognizable families of problems have important applications in most practical activities involving experimental data in an array of research areas, including bioequivalence, clinical trials, industrial experiments, pharmaco-statistics, and quality control, to name just a few. • Written in an expository style which will encourage readers to explore applications for AANOVA techniques in their own research • Focuses on dealing with real data, providing real-world examples drawn from the fields of statistical quality control, clinical trials, and drug testing • Describes advanced methods developed and refined by the author over the course of his long career as research engineer and statistician • Introduces advanced technologies for AANOVA data analysis that build upon the basic ANOVA principles and practices Introducing a breakthrough approach to statistical analysis which overcomes the limitations of the ANOVA model, Advanced Analysis of Variance is an indispensable resource for researchers and practitioners working in fields within which the statistical analysis of experimental data is a crucial research component. Chihiro Hirotsu is a Senior Researcher at the Collaborative Research Center, Meisei University, and Professor Emeritus at the University of Tokyo. He is a fellow of the American Statistical Association, an elected member of the International Statistical Institute, and he has been awarded the Japan Statistical Society Prize (2005) and the Ouchi Prize (2006). His work has been published in Biometrika, Biometrics, and Computational Statistics & Data Analysis, among other premier research journals.
Advanced Analytics in Mining Engineering: Leverage Advanced Analytics in Mining Industry to Make Better Business Decisions
by Ali SoofastaeiIn this book, Dr. Soofastaei and his colleagues reveal how all mining managers can effectively deploy advanced analytics in their day-to-day operations- one business decision at a time.Most mining companies have a massive amount of data at their disposal. However, they cannot use the stored data in any meaningful way. The powerful new business tool-advanced analytics enables many mining companies to aggressively leverage their data in key business decisions and processes with impressive results.From statistical analysis to machine learning and artificial intelligence, the authors show how many analytical tools can improve decisions about everything in the mine value chain, from exploration to marketing.Combining the science of advanced analytics with the mining industrial business solutions, introduce the “Advanced Analytics in Mining Engineering Book” as a practical road map and tools for unleashing the potential buried in your company’s data.The book is aimed at providing mining executives, managers, and research and development teams with an understanding of the business value and applicability of different analytic approaches and helping data analytics leads by giving them a business framework in which to assess the value, cost, and risk of potential analytical solutions. In addition, the book will provide the next generation of miners – undergraduate and graduate IT and mining engineering students – with an understanding of data analytics applied to the mining industry. By providing a book with chapters structured in line with the mining value chain, we will provide a clear, enterprise-level view of where and how advanced data analytics can best be applied. This book highlights the potential to interconnect activities in the mining enterprise better. Furthermore, the book explores the opportunities for optimization and increased productivity offered by better interoperability along the mining value chain – in line with the emerging vision of creating a digital mine with much-enhanced capabilities for modeling, simulation, and the use of digital twins – in line with leading “digital” industries.
Advanced Analytics with Transact-SQL: Exploring Hidden Patterns and Rules in Your Data
by Dejan SarkaLearn about business intelligence (BI) features in T-SQL and how they can help you with data science and analytics efforts without the need to bring in other languages such as R and Python. This book shows you how to compute statistical measures using your existing skills in T-SQL. You will learn how to calculate descriptive statistics, including centers, spreads, skewness, and kurtosis of distributions. You will also learn to find associations between pairs of variables, including calculating linear regression formulas and confidence levels with definite integration. No analysis is good without data quality. Advanced Analytics with Transact-SQL introduces data quality issues and shows you how to check for completeness and accuracy, and measure improvements in data quality over time. The book also explains how to optimize queries involving temporal data, such as when you search for overlapping intervals. More advanced time-oriented information in the book includes hazard and survival analysis. Forecasting with exponential moving averages and autoregression is covered as well. Every web/retail shop wants to know the products customers tend to buy together. Trying to predict the target discrete or continuous variable with few input variables is important for practically every type of business. This book helps you understand data science and the advanced algorithms use to analyze data, and terms such as data mining, machine learning, and text mining.Key to many of the solutions in this book are T-SQL window functions. Author Dejan Sarka demonstrates efficient statistical queries that are based on window functions and optimized through algorithms built using mathematical knowledge and creativity. The formulas and usage of those statistical procedures are explained so you can understand and modify the techniques presented. T-SQL is supported in SQL Server, Azure SQL Database, and in Azure Synapse Analytics. There are so many BI features in T-SQL that it might become your primary analytic database language. If you want to learn how to get information from your data with the T-SQL language that you already are familiar with, then this is the book for you. What You Will LearnDescribe distribution of variables with statistical measuresFind associations between pairs of variablesEvaluate the quality of the data you are analyzingPerform time-series analysis on your dataForecast values of a continuous variablePerform market-basket analysis to predict customer purchasing patternsPredict target variable outcomes from one or more input variablesCategorize passages of text by extracting and analyzing keywordsWho This Book Is ForDatabase developers and database administrators who want to translate their T-SQL skills into the world of business intelligence (BI) and data science. For readers who want to analyze large amounts of data efficiently by using their existing knowledge of T-SQL and Microsoft’s various database platforms such as SQL Server and Azure SQL Database. Also for readers who want to improve their querying by learning new and original optimization techniques.
Advanced and Multivariate Statistical Methods: Practical Application and Interpretation
by Craig A. Mertler Rachel Vannatta Reinhart* All the statistics traditionally covered in a second-level course are included. * Stresses the conceptual and practical aspects for students who do not need emphasis on the underlying mathematical theory. * Students learn not only the purpose of and how to compute the statistics using SPSS, they also learn the logic behind the techniques and how to test the underlying assumptions. * Students are shown how to interpret, present, and write up the results for each technique. * Exercises allow students to practice their newly acquired skills. The answer key will be provided with professors' copies. * If your students are overwhelmed by advanced statistics texts that are too technical and mathematical, you should examine this highly applied approach to multivariate statistics. Covers why, what, when and how. Ideal for nonmath majors. * The numerous screenshots and examples of output make it easy for students to follow the text. * Each statistical method is followed by an explanation of why a student might use that method, including a discussion of its purpose and sample research questions it can address. * The authors also show a sample study with an example of how to write up the results. Students see firsthand how to present their statistical findings. * Although SPSS is the program that is illustrated, students using any program will benefit greatly from the conceptual material.
Advanced and Multivariate Statistical Methods: Practical Application and Interpretation Fifth Edition
by Craig A. Mertler Rachel A. Vannatta* All the statistics traditionally covered in a second-level course are included. * Stresses the conceptual and practical aspects for students who do not need emphasis on the underlying mathematical theory. * Students learn not only the purpose of and how to compute the statistics using SPSS, they also learn the logic behind the techniques and how to test the underlying assumptions. * Students are shown how to interpret, present, and write up the results for each technique. * Exercises allow students to practice their newly acquired skills. The answer key will be provided with professors' copies. * If your students are overwhelmed by advanced statistics texts that are too technical and mathematical, you should examine this highly applied approach to multivariate statistics. Covers why, what, when and how. Ideal for nonmath majors. * The numerous screenshots and examples of output make it easy for students to follow the text. * Each statistical method is followed by an explanation of why a student might use that method, including a discussion of its purpose and sample research questions it can address. * The authors also show a sample study with an example of how to write up the results. Students see firsthand how to present their statistical findings. * Although SPSS is the program that is illustrated, students using any program will benefit greatly from the conceptual material.