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Urknall im Labor
by Dieter B. HerrmannDie Frage nach der Herkunft, Entwicklung und Zukunft des Universums zählt zu den großen wissenschaftlichen Themen der Gegenwart. Kernphysiker und Astrophysiker gehen dieser Frage heute mithilfe moderner Teilchenbeschleuniger nach, die kosmische Extremzustände förmlich nachahmen können. Sie hoffen, dadurch dem Verständnis der Lebensgeschichte des Universums ein großes Stück näher zu kommen. Allgemein verständlich und unterhaltsam beschreibt der Autor dieses große Abenteuer der Forschung, das vor 400 Jahren mit den ersten Fernrohren Galileis begann.
Use and Misuse of the United States Census: The Role of Data in the Incarceration of Japanese Americans During World War II
by Margo Anderson William SeltzerThe U.S. government conducts a population census every 10 years, adds up the counts by geographic location, and uses the resulting numbers in formulas to allocate seats in the House of Representative and Electoral College, and to make public funding and tax decisions. It has served as an essential tool of representative democracy since 1790. The raw data from the census also serve as a decennial snapshot of the nation, a very long list, organized by household, ideally of all people resident on census day, with additional information on the name, age, race, sex, geographic location, and other characteristics for each individual. Americans recognized early in their history that the raw data, the list, could serve additional governmental functions, and over the centuries, erected guardrails to prevent improper use. They are encapsulated in the presidential proclamations announcing the upcoming census. The information collected from individual households is for aggregated use only, and cannot be used for the “taxation, regulation, or investigation” of individual persons or businesses. Americans have heeded the call to “stand up and be counted.” They also engage in an ongoing conversation to make sure that the information is used properly and ethically, that the census serves as a tool of representative democracy and advances the rights – including human rights -- of all Americans. The record, however, reveals that there have been failures to meet this goal and that as a result the information provided by the responding public sometimes has been misused, causing considerable harm to vulnerable individuals, groups and entities. Today, as governments and social media are suspect for their exploitation of data about individuals, the experience of Americans of Japanese ancestry in the United States during World War II provides a chilling example of such misuse of census data. This book reveals how census officials stepped beyond their normal roles as unobtrusive monitors of American demographic life and helped justify and administer the relocation and incarceration program. Census officials mobilized the substantial administrative and technical resources of the 1940 census, to map the neighbourhoods where Japanese-Americans lived, and planned their systematic removal. The officials then built “census-like” data systems to track the “evacuees” for the duration of the war, monitor their lives in the camps, and certify which “loyal” evacuees might be released from the camps for military or civilian service. After the war, census officials drafted an official history of their activities, but did not publish it. This book has lessons for policy makers and ordinary Americans alike, as we confront the new digital world in which we live. And it speaks to two of the great issues of our time: distrust in the institutions of government and the victimization of minorities.
The Use of Frames in Sampling Theory (RSME Springer Series #14)
by Antonio García GarcíaThis book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert–Schmidt operators. In addition, the transversality of sampling theory with other mathematical fields appears, in an easy way. The first three chapters of the book can be used as an introduction to sampling theory, while the rest of the chapters are addressed to introduce the interested reader in the research on the topic.
The Use Of Statistics In Forensic Science
by C. G. Aitken David A. StoneyDescribes ways of assessing forensic science evidence and the means of communicating the assessment to a court of law. The aim of this work is to ensure that the courts consider seriously the probability of the evidence of association.
Useful Game Theory: Fundamentals of Decision Making (Palgrave Executive Essentials)
by Jay Prag Amanda Ishak PragUseful Game Theory offers a refreshing perspective on modern wisdom, empowering readers to master strategic decision-making with the tools they already possess. Every decision you make involves an element of game theory, often without you even realizing it. In this insightful book, economist Jay Prag and marketing strategist Amanda Ishak Prag delve into the essence of human nature, transforming the mathematical principles of game theory into practical, everyday strategies. Through familiar proverbs and timeless wisdom, readers will explore how elements like reputation, biases, cooperation, and family dynamics influence our strategic interactions. From navigating a four-way stop and choosing take-out dinners to understanding the complexities of nuclear disarmament, Useful Game Theory demonstrates how recognizing the structure of games—players, choices, and outcomes—can enhance decision-making in all aspects of life.
A User's Guide to Business Analytics
by Ayanendranath Basu Srabashi BasuA User's Guide to Business Analytics provides a comprehensive discussion of statistical methods useful to the business analyst. Methods are developed from a fairly basic level to accommodate readers who have limited training in the theory of statistics. A substantial number of case studies and numerical illustrations using the R-software package are provided for the benefit of motivated beginners who want to get a head start in analytics as well as for experts on the job who will benefit by using this text as a reference book. The book is comprised of 12 chapters. The first chapter focuses on business analytics, along with its emergence and application, and sets up a context for the whole book. The next three chapters introduce R and provide a comprehensive discussion on descriptive analytics, including numerical data summarization and visual analytics. Chapters five through seven discuss set theory, definitions and counting rules, probability, random variables, and probability distributions, with a number of business scenario examples. These chapters lay down the foundation for predictive analytics and model building. Chapter eight deals with statistical inference and discusses the most common testing procedures. Chapters nine through twelve deal entirely with predictive analytics. The chapter on regression is quite extensive, dealing with model development and model complexity from a user’s perspective. A short chapter on tree-based methods puts forth the main application areas succinctly. The chapter on data mining is a good introduction to the most common machine learning algorithms. The last chapter highlights the role of different time series models in analytics. In all the chapters, the authors showcase a number of examples and case studies and provide guidelines to users in the analytics field.
A User's Guide to Measure Theoretic Probability
by David PollardThis book grew from a one-semester course offered for many years to a mixed audience of graduate and undergraduate students who have not had the luxury of taking a course in measure theory. The core of the book covers the basic topics of independence, conditioning, martingales, convergence in distribution, and Fourier transforms. In addition there are numerous sections treating topics traditionally thought of as more advanced, such as coupling and the KMT strong approximation, option pricing via the equivalent martingale measure, and the isoperimetric inequality for Gaussian processes. The book is not just a presentation of mathematical theory, but is also a discussion of why that theory takes its current form. It will be a secure starting point for anyone who needs to invoke rigorous probabilistic arguments and understand what they mean.
Uses of Technology in Lower Secondary Mathematics Education
by Paul Drijvers Lynda Ball Bärbel Barzel M. Kathleen Heid Yiming Cao Michela MaschiettoThis topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration. The survey s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda reflecting those trends. Predicting what lower secondary mathematics education might look like in 2025 with respect to the role of digital tools in curricula, teaching and learning, it examines the question of how teachers can integrate physical and virtual experiences to promote a deeper understanding of mathematics. The issues and findings presented here provide an overview of current research and offer a glimpse into a potential future characterized by the effective integration of technology to support mathematics teaching and learning at the lower secondary level. "
Uses of Technology in Primary and Secondary Mathematics Education: Tools, Topics And Trends (ICME-13 Monographs)
by Paul Drijvers Lynda Ball Hans-Stefan Siller Silke Ladel Michal Tabach Colleen ValeThis book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.
Uses of Technology in Upper Secondary Mathematics Education
by Stephen Hegedus Colette Laborde Corey Brady Sara Dalton Hans-Stefan Siller Michal Tabach Jana Trgalova Luis Moreno-ArmellaThis survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education. Research shows that the use of some technologies may deeply change the solving processes and contribute to impact the learning processes. The questions are which technologies to choose for which purposes, and how to integrate them, so as to maximize all students' agency. In particular the role of the teacher in classrooms and the content of teacher education programs are critical for taking full advantage of technology in teaching practice.
Usha and the Big Digger (Storytelling Math)
by Amitha Jagannath KnightCelebrate diversity, math, and the power of storytelling!When sisters Usha and Aarti look up at the stars, they see different things. Aarti sees the Big Dipper, but Usha sees the Big DIGGER. And cousin Gloria sees the Big Kite! Could they all be right? A playful introduction to geometry and spatial relationships, featuring Indian American characters and a note about cultures and constellations.Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them. Joyful stories and hands-on activities make it easy for kids and their grown-ups to explore everyday math together. Developed in collaboration with math experts at STEM education nonprofit TERC, under a grant from the Heising-Simons Foundation.
Usha y la Gran Excavadora / Usha and the Big Digger (Storytelling Math)
by Amitha Jagannath KnightCelebrate diversity, math, and the power of storytelling! ¡Celebremos la diversidad, las matemáticas y el poder del cuento!Now in a Spanish bilingual edition! When sisters Usha and Aarti look up at the stars, they see different things. Aarti sees the Big Dipper, but Usha sees the Big DIGGER. And cousin Gloria sees the Big Kite! Could they all be right? A playful introduction to geometry and spatial relationships, featuring Indian American characters and a note about cultures and constellations. Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them. Joyful stories and hands-on activities make it easy for kids and their grown-ups to explore everyday math together. Developed in collaboration with math experts at STEM education nonprofit TERC, under a grant from the Heising-Simons Foundation. ¡Ahora en edición bilingüe inglés-español! Al observar las estrellas, las hermanas Usha y Aarti ven diferentes cosas. Aarti ve el Gran Cazo y Usha ve la Gran EXCAVADORA. ¡Gloria, su prima, ve la Gran Cometa! ¿Puede ser que todas tengan razón? Este cuento es una introducción entretenida a la geometría y las relaciones espaciales, con personajes indios americanos y una nota sobre culturas y constelaciones. Los libros de la serie Cuentos matemáticos celebran las aventuras diarias de niños que usan las matemáticas mientras juegan, construyen y descubren el mundo que los rodea. Historias divertidas y actividades prácticas facilitan que tanto los niños como los adultos exploren juntos las matemáticas de la vida diaria. Fue desarrollada junto a expertos en el currículum STEM, pertenecientes a TERC Inc., organización sin fines de lucro, bajo una subvención otorgada por Heising-Simons Foundation.
Using and Applying Mathematics at Key Stage 1: A Guide to Teaching Problem Solving and Thinking Skills
by Elaine Sellers Sue LowndesAll pupils - able children included - need to be taught strategies to enable their thinking skills to progress. They also need help with developing different approaches to problem solving. A sustained piece of work that requires perseverance, logical strategies, and refinement of method and extension of the original task is not the same as a straightforward quick-fix type problem. Both types of problem solving need to be taught. This book presents a series of activities that can be used with whole classes to provide a curriculum for the teaching of problem solving and the development of thinking skills. Each tried and tested investigation is clearly explained with ideas on how to introduce the task to a class, full solutions and resource sheets. Activities include making 10p: a task to encourage systematic listing; tables and chairs: working systematically and spotting patterns; polygons and polyhedra: investigating diagonals, triangles, faces, edges and vertices; hidden faces: investigating different shapes and sizes of dice; and pond borders: investigating area and perimeter.
Using and Applying Mathematics at Key Stage 2: A Guide to Teaching Problem Solving and Thinking Skills
by Sue Lowndes Elaine SellarsAll pupils - able children included - need to be taught strategies to enable their thinking skills to progress. They also need help with developing different approaches to problem solving. A sustained piece of work that requires perseverance, logical strategies, and refinement of method and extension of the original task is not the same as a straightforward quick-fix type problem. Both types of problem solving need to be taught. This book presents a series of activities that can be used with whole classes to provide a curriculum for the teaching of problem solving and the development of thinking skills. Each tried and tested investigation is clearly explained with ideas on how to introduce the task to a class, full solutions and resource sheets. Activities include prisoners: a fun way of generating square numbers; handshakes: exploring arithmetic progressions; T-shape: an activity to lead pupils from numerical calculations to algebraic generalizations; frogs: encouraging systematic working and listing; and opposite corners: an advanced piece of work for independent learners.
Using and Interpreting Statistics
by Eric W. CortyEric Corty's engaging textbook is exceptionally well suited for behavioral science students studying statistical practice in their field for the first time. An award-winning master teacher, Corty speaks to students in their language, with an approachable voice that conveys the basics of collecting and understanding statistical data step by step. Examples come from the behavioral and social sciences, as well as from recognizable aspects of everyday life to help students see the relevance of what they are studying.
Using and Understanding Mathematics: A Quantitative Reasoning Approach
by Jeffrey Bennett William BriggsUsing and Understanding Mathematics: A Quantitative Reasoning Approach prepares students for the mathematics they will encounter in college courses, their future career, and life in general. Its quantitative reasoning approach helps students to build the skills needed to understand major issues in everyday life, and compels students to acquire the problem-solving tools that they will need to think critically about quantitative issues in contemporary society.
Using And Understanding Mathematics: A Quantitative Reasoning Approach
by Jeffrey O. Bennett William L. BriggsThe standard in quantitative reasoning instruction – by authorities in the field <P><P> The 7th Edition of Using & Understanding Mathematics by Jeff Bennett and Bill Briggs aims to prepare students for the mathematics they will encounter in other college courses, future careers, and life. <P><P> The authors' goal is to develop students’ ability to reason with quantitative information in a way that will help achieve success in their careers, and to give students the critical-thinking and quantitative reasoning skills needed to understand major life issues. Through new resources in MyLab™ Math and updated content within the text, the Bennett/Briggs team continues to set the standard in quantitative reasoning instruction.
Using and Understanding Mathematics: A Quantitative Reasoning Approach (5th Edition)
by Jeffrey O. Bennett William L. BriggsUsing and Understanding Mathematics: A Quantitative Reasoning Approach, Fifth Edition increases readers' mathematical literacy so that they better understand the mathematics used in their daily lives, and can use math effectively to make better decisions every day. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts. Prologue: Literacy for the Modern World. Logic and Problem Solving:Thinking Critically; Approaches to Problem Solving. Quantitative Information in Everyday Life:Numbers in the Real World; Managing Your Money. Probability and Statistics:Statistical Reasoning; Putting Statistics to Work; Probability: Living with the Odds. Modeling:Exponential Astonishment; Modeling Our World; Modeling with Geometry. Further Applications:Mathematics and the Arts; Mathematics and Politics; Mathematics and Business. For all readers interested in a quantitative reasoning approach to using and understanding mathematics.
Using Assessment To Reshape Mathematics Teaching: A Casebook for Teachers and Teacher Educators, Curriculum and Staff Development Specialists (Studies in Mathematical Thinking and Learning Series)
by Sandra K. Wilcox Perry E. LanierThis casebook is intended to support professionals who are working in a variety of contexts to use classroom-based assessment more effectively to support teacher learning and teaching change, and to enhance the opportunities for all students to develop mathematical power. It grows out of a collaboration of mathematics teachers and teacher educators, and mathematicians, to better understand the role of assessment as an ongoing activity to help teachers reshape their own teaching practices. At the heart of each case is using assessment to make sense of what students understand and what they are confused about, deciding what counts as evidence of that understanding, and using the analysis to consider what the teacher's next instructional moves might be. All of the cases in this volume are built around actual episodes from mathematics classrooms. Intended as decision-making exercises, they present the raw data of classroom events in a straightforward way and are designed to stimulate analysis and reflection; provoke various and sometimes conflicting interpretations of an event; bring to the fore deeply held beliefs of beginning and experienced teachers so they can be reconsidered; and engage professionals in pedagogical problem solving in the context of complex classroom settings. This volume reflects the growing interest in cases as a pedagogical tool in teacher professional development. The cases are organized to take up key themes of the NCTM Professional Teaching Standards in ways that will assist and support teachers, teacher educators, and curriculum and staff development specialists in learning to assess and in linking assessment with curriculum, teaching, and learning. Although each case contains many ideas for linking assessment with curriculum and instruction, the most powerful use of these materials resides in their design intended to foster conversations among groups of professional colleagues. The editors' field-testing of the cases--in initial teacher certification courses and in in-service workshops--has shown that they prompt engaging and demanding analysis through a variety of analytic lenses. A videotape containing vignettes for four of the cases in the Casebook is available with this book. Transcriptions of the video vignettes are printed in the case materials in the book. Course instructors and professional development facilitators will need both the Casebook and the videotape and should order the Casebook/Video set. The video can also be ordered separately.
Using Basic Statistics in the Behavioral and Social Sciences
by Annabel Ness EvansUsing Basic Statistics in the Behavioral and Social Sciences, Fifth Edition, by Annabel Ness Evans, presents introductory statistics in a practical, conceptual, and humorous way, reducing the anxiety that many students experience in introductory courses. Avoiding complex notation and derivation, the book focuses on helping readers develop an understanding of the underlying logic of statistics. Practical Focus on Research boxes engage students with realistic applications of statistics, and end-of-chapter exercises ensure student comprehension. This exciting new edition includes a greater number of realistic and engaging global examples within the social and behavioral sciences, making it ideal for use within many departments or in interdisciplinary settings.
Using Children's Literature to Teach Problem Solving in Math: Addressing the Standards for Mathematical Practice in K–5
by Jeanne WhiteLearn how children’s literature can help K–5 students see the real-life applications of mathematical concepts. This user-friendly book shows how to use stories to engage students in building critical reasoning, abstract thinking, and communication skills, all while helping students understand the relevance of math in their everyday lives. Each chapter is dedicated to one of the eight Standards for Mathematical Practice, and offers examples of children’s literature that can be used to help students develop that practice. You’ll find out how to: Encourage students to persevere in solving mathematical problems and use multiple approaches to find the answer; Help students reason abstractly with the aid of concrete objects and visuals; Guide students in constructing arguments to explain their reasoning and engage in critical discussion with their peers; Teach students to recognize mathematical patterns and use them to solve problems efficiently; And more! The book offers activities for beginners as well as for more advanced problem solvers. Each chapter also provides guidance for ELLs and students with special needs, so no matter your classroom environment, you’ll be able to use these strategies to make math class more dynamic, engaging, and fun.
Using Data to Improve Student Learning: Theory, Research and Practice (The Enabling Power of Assessment #9)
by Graham S. MaxwellThis book offers a coherent research-based overview and analysis of theories and practices in using data to improve student learning. It clarifies what 'use of data' means and differentiates the different levels of decision-making in education (relating to the system, district, school, classroom, or individual student). The relationship between data and decision-making is considered and various movements in the use of data to improve student learning are analysed, especially from the perspective of their assumptions and effects. This leads to a focus on effective educational decision-making as a social process requiring collaboration among all relevant participants. It also requires a clear understanding of educational aims, and these are seen to transcend what can be assessed by standardised tests. The consequences of this analysis for decision processes are explored and conclusions are drawn about what principles might best guide educational practice as well as what ambiguities remain. Throughout, the focus is on what existing research says about each of the issues explored.
Using Design Research and History to Tackle a Fundamental Problem with School Algebra
by Sinan Kanbir M. A. Ken Clements Nerida F. EllertonIn this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics--why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students signifi cantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce's triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart's theory of apperception, and Ken Clements' and Gina Del Campo's theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer's series on the "History of Mathematics Education. " Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on "theories from the past," than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might have created and illuminated a pathway for future researchers to take.
Using Event-B for Critical Device Software Systems
by Neeraj Kumar SinghDefining a new development life-cycle methodology, together with a set of associated techniques and tools to develop highly critical systems using formal techniques, this book adopts a rigorous safety assessment approach explored via several layers (from requirements analysis to automatic source code generation). This is assessed and evaluated via a standard case study: the cardiac pacemaker. Additionally a formalisation of an Electrocardiogram (ECG) is used to identify anomalies in order to improve existing medical protocols. This allows the key issue - that formal methods are not currently integrated into established critical systems development processes - to be discussed in a highly effective and informative way. Using Event-B for Critical Device Software Systems serves as a valuable resource for researchers and students of formal methods. The assessment of critical systems development is applicable to all industries, but engineers and physicians from the health domain will find the cardiac pacemaker case study of particular value.
Using Excel to Solve Statistical Problems: A Practical Guide to the Book “Statistics for Chemical and Process Engineers”
by Yuri A.W. ShardtThis book provides a complete overview of how to use Excel to solve typical statistical problems in engineering. In addition to short sections on the required theory, the focus of the book is on detailed Excel examples for solving specific problems. Furthermore, solutions are provided for standard problems that can then be re-used and modified as necessary. End-of-chapter questions allow the reader to independently test the knowledge acquired.