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Interactive Maths Teaching in the Primary School
by Dr Nick Pratt'Nick Pratt's book looks in detail at the real meaning of teaching mathematics interactively in primary schools. Each section is set clearly within a context, is linked by 'key ideas' - the important bits to think about - and is summarised to give a succinct close to the chapter's content and thinking. It is a book that the reader will definitely find useful and thought provoking. It certainly made me consider how small changes and a wider variety of approaches in the classroom can make big changes in children's learning and understanding of mathematical concepts' - Mike Eatwell, Primary Maths Advisor, Bristol LEA Using a whole-class, interactive approach to teaching mathematics is a key feature of the National Numeracy Strategy (NNS), and this book looks at not only what works but also why things work. Teachers will be able to understand why and how the various teaching strategies they are using in their classrooms have a positive effect on children's learning. The book covers: " how to engage in meaningful reflective practice that will improve your lessons " how to use whiteboards " making mathematical meaning through talk " getting the whole class interacting " thinking, talking and acting mathematically " teaching number - starting points " teaching shape and space - starting points " developing your interactive teaching " a glossary of terms It is aimed at both practising and trainee teachers, and offers clear subject guidance as well as an explanation of a key part of the NNS. It supports both individuals and mathematics subject leaders delivering INSET to their colleagues.
Interactive Multiobjective Decision Making Under Uncertainty
by Hitoshi YanoRecently, many books on multiobjective programming have been published. However, only a few books have been published, in which multiobjective programming under the randomness and the fuzziness are investigated. On the other hand, several books on multilevel programming have been published, in which multiple decision makers are involved in hierarchical decision situations. In this book, we introduce the latest advances in the field of multiobjective programming and multilevel programming under uncertainty. The reader can immediately use proposed methods to solve multiobjective programming and multilevel programming, which are based on linear programming or convex programming technique. Organization of each capter is summarized as follows. In Chapter 2, multiobjective programming problems with random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 3, multiobjective programming problems with fuzzy random variables are formulated, and the corresponding interactive algorithms are developed to obtain a satisfactory solution, in which not only the uncertainty of fuzzy random variables but also the fuzziness of human's subjective judgment for permission levels are considered. In Chapter 4, multiobjective multilevel programming is discussed, and the interactive algorithms are developed to obtain a satisfactory solution, in which the hierarchical decision structure of multiple decision makers is reflected. In Chapter 5, two kinds of farm planning problems are solved by applying the proposed method, in which cost coefficients of crops are expressed by random variables.
Interactive Statistics (Third Edition)
by Martha Aliaga Brenda GundersonThis volume takes a hands-on approach to the introduction of basic statistical methods, using a highly interactive method. Readers are taught to ask "why" and think like a statistician to find the logical solution. With its strong emphasis on data analysis, the book gives readers the skills to understand and interpret a variety of statistical results. Provides an overview of the basic components of decision-making and using statistical ideas. Helps readers master the language of statistics, the importance of a p-value, and the meaning of statistical significance. Includes coverage of current topics such as power of the test and effect size, bootstrap, and blocking designs in experiments. Uses examples from business, sports, economics, and more to address a wide range of interests. Includes chapter-ending TI Quick Steps for using calculators to enter, manipulate, and plot data. For anyone interested in learning more about statistics.
Interactive Theorem Proving: 9th International Conference, ITP 2018, Held as Part of the Federated Logic Conference, FloC 2018, Oxford, UK, July 9-12, 2018, Proceedings (Lecture Notes in Computer Science #10895)
by Jeremy Avigad Assia MahboubiThis book constitutes the refereed proceedings of the 9th International Conference on Interactive Theorem Proving, ITP 2018, held in Oxford, UK, in July 2018.The 32 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. The papers feature research in the area of logical frameworks and interactive proof assistants. The topics include theoretical foundations and implementation aspects of the technology, as well as applications to verifying hardware and software systems to ensure their safety and security, and applications to the formal verication of mathematical results.Chapters 2, 10, 26, 29, 30 and 37 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Interactive Theorem Proving
by Mauricio Ayala-Rincón César A. MuñozThis book constitutes the refereed proceedings of the 8th International Conference on Interactive Theorem Proving, ITP 2017, held in Brasilia, Brazil, in September 2017. The 28 full papers, 2 rough diamond papers, and 3 invited talk papers presented were carefully reviewed and selected from 65 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematical theories.
Interactive Theorem Proving
by Jasmin Christian Blanchette Stephan MerzThis book constitutes the refereed proceedings of the 7th International Conference on Interactive Theorem Proving, ITP 2016, held in Nancy, France, in August 2016. The 27 full papers and 5 short papers presented were carefully reviewed and selected from 55 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematical theories.
Interactive Theorem Proving
by Christian Urban Xingyuan ZhangThis book constitutes the proceedings of the 6th International Conference on Interactive Theorem Proving, ITP 2015, held in Nanjing, China, in August 2015. The 27 papers presented in this volume were carefully reviewed and selected from 54 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.
Interactive Web-Based Data Visualization with R, plotly, and shiny (Chapman & Hall/CRC The R Series)
by Carson SievertThe richly illustrated Interactive Web-Based Data Visualization with R, plotly, and shiny focuses on the process of programming interactive web graphics for multidimensional data analysis. It is written for the data analyst who wants to leverage the capabilities of interactive web graphics without having to learn web programming. Through many R code examples, you will learn how to tap the extensive functionality of these tools to enhance the presentation and exploration of data. By mastering these concepts and tools, you will impress your colleagues with your ability to quickly generate more informative, engaging, and reproducible interactive graphics using free and open source software that you can share over email, export to pdf, and more. Key Features: Convert static ggplot2 graphics to an interactive web-based form Link, animate, and arrange multiple plots in standalone HTML from R Embed, modify, and respond to plotly graphics in a shiny app Learn best practices for visualizing continuous, discrete, and multivariate data Learn numerous ways to visualize geo-spatial data This book makes heavy use of plotly for graphical rendering, but you will also learn about other R packages that support different phases of a data science workflow, such as tidyr, dplyr, and tidyverse. Along the way, you will gain insight into best practices for visualization of high-dimensional data, statistical graphics, and graphical perception. The printed book is complemented by an interactive website where readers can view movies demonstrating the examples and interact with graphics.
Interaktionen von Lehrpersonen mit Mädchen und Jungen im Mathematikunterricht der Grundschule: Geschlechtsspezifische Unterschiede und Zusammenhänge mit der Selbstkonzeptentwicklung
by Ann-Katrin DennMithilfe videobasierter Beobachtungen geht Ann-Katrin Denn in diesem Buch der Frage nach, ob Mädchen und Jungen im Unterrichtsgespräch des Mathematikunterrichts in der Grundschule von Lehrpersonen unterschiedlich eingebunden werden (bspw. durch Fragen, Aufrufe oder Feedback). Aufgrund der geschlechtsspezifischen Unterschiede im mathematischen Selbstkonzept wird außerdem untersucht, ob sich Aspekte der Interaktion unterschiedlich auf die Selbstkonzeptentwicklung von Mädchen und Jungen auswirken.
Interaktionsqualität im sprachbildenden Mathematikunterricht: Instrumententwicklung und differentielle Analysen (Dortmunder Beiträge zur Entwicklung und Erforschung des Mathematikunterrichts #2)
by Kim QuabeckEin reichhaltiger, sprachbildender Mathematikunterricht lässt sich nicht allein durch sorgfältig designte Aufgaben herstellen, denn die fachlichen und sprachlichen Lerngelegenheiten ergeben sich vor allem auch in der Interaktion zwischen Lehrkräften und Lernenden. Diese hohe Relevanz der Interaktionsqualität ist in qualitativen Fallstudien vielfach belegt, doch nach wie vor wird Interaktionsqualität in quantitativen Studien der Unterrichtsqualitätsforschung noch unsystematisch und mit sehr heterogenen Konzeptualisierungen und Operationalisierungen erfasst. In diesem Buch widmet sich die Autorin dieser Forschungslücke, indem ein sehr hoch auflösendes Analyseinstrument für Interaktionsqualität theoriebasiert entwickelt und beforscht wird. Mittels differentieller Analysen wird des Weiteren der Zusammenhang zwischen Lernmilieus und Lernvoraussetzungen für Interaktionsqualität untersucht.
Interdependencies Between Fertility and Women's Labour Supply
by Anna MatysiakThe book explores interlinkages between women's employment and fertility at both a macro- and a micro-level in EU member states, Norway and Switzerland. Similarly as many other studies on the topic, it refers to the cross-country variation in the macro-context for explaining cross-country differences in women's labour supply and fertility levels. However, in contrast to other studies, which mainly focus on Western Europe, it extends the discussion to Central and Eastern European countries. Furthermore, it looks at the macro-context from a multi-dimensional perspective, indicating its four dimensions as relevant for fertility and women's employment choices: economic (living standards), institutional (family policies), structural (labour market structures), and cultural (social norms). A unique feature of the study is the development of indices that measure the intensity of institutional, structural, and cultural incompatibilities between women's employment and fertility. These indices are used for ranking European countries from the perspective of the country-specific conditions for work and family reconciliation. A country where these conditions are the worst, but where women are additionally perceived as important income providers, is picked up for an in-depth empirical study of the interrelationship between fertility and women's employment choices. Finally, against the review of theoretical concepts predominantly used for studying interdependencies between fertility and women's labour supply the book assesses the micro-level empirical studies available on the topic and proposes an analytical approach for modelling the two variables. Thereby, it also contributes to methodological developments in the field.
Interdisciplinary Bayesian Statistics
by Adriano Polpo Francisco Louzada Laura L. R. Rifo Julio M. Stern Marcelo LaurettoThrough refereed papers, this volume focuses on the foundations of the Bayesian paradigm; their comparison to objectivistic or frequentist Statistics counterparts; and the appropriate application of Bayesian foundations. This research in Bayesian Statistics is applicable to data analysis in biostatistics, clinical trials, law, engineering, and the social sciences. EBEB, the Brazilian Meeting on Bayesian Statistics, is held every two years by the ISBrA, the International Society for Bayesian Analysis, one of the most active chapters of the ISBA. The 12th meeting took place March 10-14, 2014 in Atibaia. Interest in foundations of inductive Statistics has grown recently in accordance with the increasing availability of Bayesian methodological alternatives. Scientists need to deal with the ever more difficult choice of the optimal method to apply to their problem. This volume shows how Bayes can be the answer. The examination and discussion on the foundations work towards the goal of proper application of Bayesian methods by the scientific community. Individual papers range in focus from posterior distributions for non-dominated models, to combining optimization and randomization approaches for the design of clinical trials, and classification of archaeological fragments with Bayesian networks.
Interdisciplinary Design of Game-based Learning Platforms: A Phenomenological Examination of the Integrative Design of Game, Learning, and Assessment (Advances in Game-Based Learning)
by Fengfeng Ke Valerie Shute Kathleen M. Clark Gordon ErlebacherThis book represents a four-year research and development project. It presents a phenomenological examination and explanation of a functional design framework for games in education. It furnishes a rich description of the experiences and perceptions of performing interdisciplinary collaborative design among experts of very diverse fields, such as learning systems design, architectural design, assessment design, mathematics education, and scientific computing.
Interdisciplinary Mathematics Education: A State Of The Art (ICME-13 Monographs)
by Brian Doig Julian Williams David Swanson Rita Borromeo Ferri Pat DrakeThis open access book is the first major publication on the topic of “Interdisciplinary Mathematics Education” and arose from the work of the first International Topic Study Group of the same name at the ICME-13 conference in Hamburg in 2016. It offers extensive theoretical insights, empirical research, and practitioner accounts of interdisciplinary mathematics work in STEM and beyond (e.g. in music and the arts). <P><P> Scholars and practitioners from four continents contributed to this comprehensive book, and present studies on: the conceptualizations of interdisciplinarity; implementation cases at schools and tertiary institutions; teacher education; and implications for policy and practice. Each chapter, and the book itself, closes with an assessment of the most significant aspects that those involved in policy and practice, as well as future researchers, should take into account.
Interdisciplinary Pedagogy for STEM
by Reneta D. LansiquotThis book focuses on constructivist theory and collaborative interdisciplinary studies, showing how constructivist theory complements interdisciplinary studies. Constructivist theory stresses how learners construct new ideas and concepts, while the interdisciplinary method requires that learners approach complex problems from multiple perspectives. The author uses the New York City College of Technology as a model to demonstrate how learning can be embedded in complex, realistic, and relevant environments. As a result, students learn to consider significant issues from a variety of viewpoints and thus negotiate their social landscape. In approaching problems that they recognize as meaningful, they take ownership of their learning and become increasingly self-aware. This scholarly book makes a theoretical contribution to its field while also offering a practical, real world example of how to successfully integrate a curriculum.
Interdisciplinary Perspectives on Math Cognition (Mathematics in Mind)
by Marcel DanesiThis is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding.This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.
Interdisciplinary Statistics in Mexico: AME Virtual Meeting, September 10–11, 2020, and 34 FNE, Acatlán, Mexico, September 22–24, 2021 (Springer Proceedings in Mathematics & Statistics #397)
by Isadora Antoniano-Villalobos Ruth Fuentes-García Lizbeth Naranjo Luis E. Nieto-Barajas Silvia Ruiz-Velasco AcostaThe volume includes a collection of peer-reviewed contributions from among those presented at the FNE, the main conference organized every two years by the Mexican Statistical Society (AME), and the 2020 AME Virtual Meeting. Statistical research in Latin America is prolific and research networks span both within and outside the region. As much of the work is typically carried out and published in Spanish, a large portion of the interested public is denied access to interesting findings, and the goal of this volume is therefore to provide access to selected works from Mexican collaborators and their international research networks to a wider audience. It may be especially attractive to academics interested in the latest methodological advances, while professionals from other disciplines may also find value in these new tools for data analysis. In 2021, the conference broadly focused on the interdisciplinary aspects of Statistics.
Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
by Monica G. Cojocaru Ilias S. Kotsireas Roman N. Makarov Roderick V. N. Melnik Hasan ShodievThe Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26--30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.
Interdisziplinäres Forschen und Lehren in den MINT-Didaktiken: Mathematik mit Informatik, Naturwissenschaften und Technik in der Bildungsforschung vernetzt denken (MINTUS – Beiträge zur mathematisch-naturwissenschaftlichen Bildung)
by Frederik Dilling Kathrin Holten Ingo WitzkeFachübergreifender und fächerverbindender Unterricht in den MINT-Fächern (Mathematik, Informatik, Naturwissenschaften & Technik) werden seit Langem in Forschung und Bildungspolitik gefordert, aber selten in der unterrichtlichen Praxis umgesetzt. Um einen solchen Unterricht in der Schule zu fördern, ist es wichtig, die aus den MINT-Fachdidaktiken heraus gemeinsam entwickelten Konzepte zugänglich zu machen und Inhaltsfelder mehrperspektivisch zu erschließen.Der vorliegende Band stellt unterschiedliche interdisziplinäre Vorhaben aus den Bereichen Bildungsforschung, Lehrer*innenbildung und Unterrichtsentwicklung mit einem Fokus auf Mathematik vor.
Interest Rate Derivatives
by Ingo BeynaThe class of interest rate models introduced by O. Cheyette in 1994 is a subclass of the general HJM framework with a time dependent volatility parameterization. This book addresses the above mentioned class of interest rate models and concentrates on the calibration, valuation and sensitivity analysis in multifactor models. It derives analytical pricing formulas for bonds and caplets and applies several numerical valuation techniques in the class of Cheyette model, i.e. Monte Carlo simulation, characteristic functions and PDE valuation based on sparse grids. Finally it focuses on the sensitivity analysis of Cheyette models and derives Model- and Market Greeks. To the best of our knowledge, this sensitivity analysis of interest rate derivatives in the class of Cheyette models is unique in the literature. Up to now the valuation of interest rate derivatives using PDEs has been restricted to 3 dimensions only, since the computational effort was too great. The author picks up the sparse grid technique, adjusts it slightly and can solve high-dimensional PDEs (four dimensions plus time) accurately in reasonable time. Many topics investigated in this book are new areas of research and make a significant contribution to the scientific community of financial engineers. They also represent a valuable development for practitioners.
Interest Rate Modeling: Post-Crisis Challenges and Approaches
by Zorana Grbac Wolfgang J. RunggaldierFilling a gap in the literature caused by the recent financial crisis, this book provides a treatment of the techniques needed to model and evaluate interest rate derivatives according to the new paradigm for fixed income markets. Concerning this new development, there presently exist only research articles and two books, one of them an edited volume, both being written by researchers working mainly in practice. The aim of this book is to concentrate primarily on the methodological side, thereby providing an overview of the state-of-the-art and also clarifying the link between the new models and the classical literature. The book is intended to serve as a guide for graduate students and researchers as well as practitioners interested in the paradigm change for fixed income markets. A basic knowledge of fixed income markets and related stochastic methodology is assumed as a prerequisite.
Interest Rate Modeling: Theory and Practice, Second Edition (Chapman and Hall/CRC Financial Mathematics Series)
by Lixin WuContaining many results that are new, or which exist only in recent research articles, Interest Rate Modeling: Theory and Practice, 2nd Edition portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with financial-economical justifications, develops options along the martingale approach, and handles option evaluations with precise numerical methods. Features Presents a complete cycle of model construction and applications, showing readers how to build and use models Provides a systematic treatment of intriguing industrial issues, such as volatility and correlation adjustments Contains exercise sets and a number of examples, with many based on real market data Includes comments on cutting-edge research, such as volatility-smile, positive interest-rate models, and convexity adjustment New to the 2nd edition: volatility smile modeling; a new paradigm for inflation derivatives modeling; an extended market model for credit derivatives; a dual-curved model for the post-crisis interest-rate derivatives markets; and an elegant framework for the xVA.
Interest Rate Modeling: Theory and Practice (Chapman and Hall/CRC Financial Mathematics Series)
by Lixin WuContaining many results that are new, or which exist only in recent research articles, this thoroughly revised third edition of Interest Rate Modeling: Theory and Practice, Third Edition portrays the theory of interest rate modeling as a three-dimensional object of finance, mathematics, and computation. It introduces all models with financial-economical justifications, develops options along the martingale approach, and handles option evaluations with precise numerical methods.Features Presents a complete cycle of model construction and applications, showing readers how to build and use models Provides a systematic treatment of intriguing industrial issues, such as volatility smiles and correlation adjustments Contains exercise sets and a number of examples, with many based on real market data Includes comments on cutting-edge research, such as volatility-smile, positive interest-rate models, and convexity adjustment New to the Third edition Introduction of Fed fund market and Fed fund futures Replacement of the forward-looking USD LIBOR by the backward-looking SOFR term rates in the market model, and the deletion of dual-curve market model developed especially for the post-crisis derivatives markets New chapters on LIBOR Transition and SOFR Derivatives Markets
Interest Theory: Financial Mathematics and Deterministic Valuation
by Joe Francis Chris RuckmanThe ActuarialBrew Interest Theory textbook explains the concepts underlying the Society of Actuarial Financial Mathematics (FM) exam. The textbook includes over 300 exam-style questions and almost 200 worked examples. An answer key to the questions is provided in the textbook. Full solutions can be downloaded from ActuarialBrew.com.
Interface between Regulation and Statistics in Drug Development (Chapman & Hall/CRC Biostatistics Series)
by Demissie Alemayehu Birol Emir Michael GaffneyWith the critical role of statistics in the design, conduct, analysis and reporting of clinical trials or observational studies intended for regulatory purposes, numerous guidelines have been issued by regulatory authorities around the world focusing on statistical issues related to drug development. However, the available literature on this important topic is sporadic, and often not readily accessible to drug developers or regulatory personnel. This book provides a systematic exposition of the interplay between the two disciplines, including emerging themes pertaining to the acceleration of the development of pharmaceutical medicines to serve patients with unmet needs. Features: Regulatory and statistical interactions throughout the drug development continuum The critical role of the statistician in relation to the changing regulatory and healthcare landscapes Statistical issues that commonly arise in the course of drug development and regulatory interactions Trending topics in drug development, with emphasis on current regulatory thinking and the associated challenges and opportunities The book is designed to be accessible to readers with an intermediate knowledge of statistics, and can be a useful resource to statisticians, medical researchers, and regulatory personnel in drug development, as well as graduate students in the health sciences. The authors’ decades of experience in the pharmaceutical industry and academia, and extensive regulatory experience, comes through in the many examples throughout the book.