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Measuring Crime: Behind the Statistics (ASA-CRC Series on Statistical Reasoning in Science and Society)
by Sharon L. LohrCrime statistics are everywhere, but how do you know when they’re valid? If a newspaper report says "the rate of overall violent crime decreased by 0.9 percent," how can you tell where that statistic came from, what it measures, and how accurate it is? Is it worth repeating or sharing? Measuring Crime: Behind the Statistics gives you the tools to interpret and evaluate crime statistics’ quality and usefulness. The book focuses on ways of thinking about crime statistics (no formulas!) and features Eight questions you should ask before quoting a statistic The two sources of information about homicide FBI statistics: what do they measure? How victimization surveys can reflect your experiences even though you were not asked to participate Special considerations when interpreting statistics about sexual assault and fraud Examples of experiments and studies on how to improve crime statistics Two online supplements containing additional details and links to data sources Whether you are a law enforcement professional, journalist, student, or interested citizen, Measuring Crime: Behind the Statistics will tell you how to read statistics as a statistician would. Sharon Lohr, the author of Sampling: Design and Analysis, has published widely about statistical methods for education, public policy, law, and crime. She has been recognized as Fellow of the American Statistical Association, elected member of the International Statistical Institute, and recipient of the Gertrude M. Cox Statistics Award and the Deming Lecturer Award. Formerly Dean’s Distinguished Professor of Statistics at Arizona State University and a Vice President at Westat, she is now a freelance statistical consultant and writer. Visit her website at www.sharonlohr.com. "The book aims to achieve two goals: introduce statistical ideas to a general audience and provide an overview of US crime statistics. These are disparate topics, but in the way they are approached here, there is a strong synergy that reinforces both aspects. One the one hand, the reader's natural curiosity about crime (what is it, how are crime events classified and reported, how reliable are the numbers you see in the newspaper, etc.) will help him/her become interested in the statistical issues and learn these concepts in a practical and concrete setting. And on the other hand, by reading about the statistical issues surrounding crime data, he/she gains a better appreciation for the complexities of crime statistics, eventually acquiring a deeper understanding of them. As a statistician myself, I learned interesting facts about the types of crime, their nomenclature and the possible confusion surrounding them, and how the data are collected and reported. Overall, I think the combination is effective and very well developed in this book." (Jean Opsomer, Westat) "This book is an excellent primer on handling the mass of data and information researchers are faced with. While it is geared toward followers of criminal justice information, much of the book is a very good introduction to survey techniques discussing their strong and weak points. Most importantly, there are very good guidelines and questions that one should employ before citing any data or using data for policy decisions or for reporting on data such as journalists do. The book is written in a non-technical manner and does a very good job of explaining the nuances in reviewing data. Any researcher who utilizes data would find this valuable. While it has specific examples in the criminal justice field, it really is quite useful for any user of data." (Barry Nussbaum, former President American Statistical Association)
Measuring Leg Stiffness During Vertical Jumps: Theory and Methods
by Artur StruzikThis book presents a thorough description and critical discussion of different approaches to measuring leg stiffness during vertical jumps, as well as practical applications. Various topics covered include the applicability of the spring-mass (linear) model of the human motion system, leg stiffness controversies and interpretations, and computational and measuring methods of leg stiffness during vertical jumps. Additionally, a description of a research project performed expressly for inclusion in this book is given; the study aims to determine normative values for leg stiffness for young, healthy, non-athletes during single vertical jumps to maximal and specific heights. A final chapter covers additional perspectives, enabling the reader to acquire different perspectives on measuring leg stiffness during vertical jumps across a breadth of information and interpretations.Measuring Leg Stiffness During Vertical Jumps: Theory and Methods is an ideal book for researchers and practitioners in the fields of biomedical engineering, biomechanics, and sport sciences.
Measuring Poverty around the World
by Anthony B. AtkinsonThe final book from a towering pioneer in the study of poverty and inequality—a critically important examination of poverty around the worldIn this, his final book, economist Anthony Atkinson, one of the world’s great social scientists and a pioneer in the study of poverty and inequality, offers an inspiring analysis of a central question: What is poverty and how much of it is there around the globe? The persistence of poverty—in rich and poor countries alike—is one of the most serious problems facing humanity. Better measurement of poverty is essential for raising awareness, motivating action, designing good policy, gauging progress, and holding political leaders accountable for meeting targets. To help make this possible, Atkinson provides a critically important examination of how poverty is—and should be—measured.Bringing together evidence about the nature and extent of poverty across the world and including case studies of sixty countries, Atkinson addresses both financial poverty and other indicators of deprivation. He starts from first principles about the meaning of poverty, translates these into concrete measures, and analyzes the data to which the measures can be applied. Crucially, he integrates international organizations’ measurements of poverty with countries’ own national analyses.Atkinson died before he was able to complete the book, but at his request it was edited for publication by two of his colleagues, John Micklewright and Andrea Brandolini. In addition, François Bourguignon and Nicholas Stern provide afterwords that address key issues from the unfinished chapters: how poverty relates to growth, inequality, and climate change.The result is an essential contribution to efforts to alleviate poverty around the world.
Meccanica dei Continui (UNITEXT #114)
by Sandra Forte Luigi Preziosi Maurizio VianelloLa finalità del libro è quella di presentare i concetti di base della Meccanica dei Continui a studenti che frequentano sia corsi di laurea che corsi di dottorato in Matematica, Fisica e Ingegneria. Questo obiettivo è perseguito da una parte limitando per quanto possibile i prerequisiti culturali necessari per la comprensione della materia e dall’altra mantenendo un linguaggio sì rigoroso, ma anche semplice e colloquiale. In questo modo il testo risulta adatto anche agli studenti che per la prima volta si interessano alla Meccanica dei Continui e che non hanno conoscenze pregresse specifiche. <p><p> Nella presentazione di ogni argomento gli aspetti teorici sono corredati di esempi ed esercizi, tutti svolti. Inoltre, pur mantenendo la tradizionale e irrinunciabile struttura ipotetico-deduttiva, il libro presenta, soprattutto nei capitoli finali dedicati ai solidi e ai fluidi, una attenzione particolare alle applicazioni che gli studenti potrebbero incontrare in altri insegnamenti.
Mechanistic Explanations in Physics and Beyond (European Studies in Philosophy of Science #11)
by Brigitte Falkenburg Gregor SchiemannThis volume offers a broad, philosophical discussion on mechanical explanations. Coverage ranges from historical approaches and general questions to physics and higher-level sciences . The contributors also consider the topics of complexity, emergence, and reduction. Mechanistic explanations detail how certain properties of a whole stem from the causal activities of its parts. This kind of explanation is in particular employed in explanatory models of the behavior of complex systems. Often used in biology and neuroscience, mechanistic explanation models have been often overlooked in the philosophy of physics. The authors correct this surprising neglect. They trace these models back to their origins in physics. The papers present a comprehensive historical, methodological, and problem-oriented investigation. The contributors also investigate the conditions for using models of mechanistic explanations in physics. The last papers make the bridge from physics to economics, the theory of complex systems and computer science . This book will appeal to graduate students and researchers with an interest in the philosophy of science, scientific explanation, complex systems, models of explanation in physics higher level sciences, and causal mechanisms in science.
Medical Statistics from Scratch: An Introduction for Health Professionals
by David BowersCorrectly understanding and using medical statistics is a key skill for all medical students and health professionals.In an informal and friendly style, Medical Statistics from Scratch provides a practical foundation for everyone whose first interest is probably not medical statistics. Keeping the level of mathematics to a minimum, it clearly illustrates statistical concepts and practice with numerous real-world examples and cases drawn from current medical literature. Medical Statistics from Scratch is an ideal learning partner for all medical students and health professionals needing an accessible introduction, or a friendly refresher, to the fundamentals of medical statistics.
Medizinische Statistik mit SAS Studio unter SODA
by Gisela Büchele Martin Rehm Rainer MucheStatistische Auswertung - selbst gemacht!Der in dem vorliegenden Buch beschriebene Zugang über SAS® OnDemand for Academics (SODA) erlaubt einen kostenfreien, browser-basierten Zugang zur SAS-Software. Dabei können unter SAS Studio in einer menügesteuerten Oberfläche statistische Auswertungen ausgeführt werden. Die Oberfläche ist auch in einer deutschsprachigen Version verfügbar.Das Buch wurde so konzipiert, dass es sich hervorragend zum Selbststudium eignet. Zu Beginn wird eine Einführung in die Benutzung der SAS Studio Oberfläche gegeben. Anhand eines Beispieldatensatzes werden deskriptive Statistik, Korrelation/Regression, statistische Tests, Überlebenszeitanalyse sowie Fallzahlplanung mit zahlreichen Screen-Shots nachvollziehbar dargestellt. Eine Anleitung zur kostenlosen Registrierung von SAS-SODA ist ebenfalls enthalten. Darüber hinaus werden praktische Tipps zur Nutzung und Datenaufbereitung gegeben.So können Sie Ihre statistische Auswertung sicher und schnell selbst erledigen.Die AutorenDr. Gisela Büchele und Martin Rehm sind wissenschaftliche Mitarbeiter am Institut für Epidemiologie und Medizinische Biometrie, Ulm.Prof. Dr. Rainer Muche ist stellvertretender Institutsdirektor des Instituts für Epidemiologie und Medizinische Biometrie, Ulm.
Memetic Computation: The Mainspring Of Knowledge Transfer In The Data-driven Optimization Era (Adaptation, Learning, and Optimization #21)
by Abhishek Gupta Yew-Soon OngThis book bridges the widening gap between two crucial constituents of computational intelligence: the rapidly advancing technologies of machine learning in the digital information age, and the relatively slow-moving field of general-purpose search and optimization algorithms. With this in mind, the book serves to offer a data-driven view of optimization, through the framework of memetic computation (MC). The authors provide a summary of the complete timeline of research activities in MC – beginning with the initiation of memes as local search heuristics hybridized with evolutionary algorithms, to their modern interpretation as computationally encoded building blocks of problem-solving knowledge that can be learned from one task and adaptively transmitted to another. In the light of recent research advances, the authors emphasize the further development of MC as a simultaneous problem learning and optimization paradigm with the potential to showcase human-like problem-solving prowess; that is, by equipping optimization engines to acquire increasing levels of intelligence over time through embedded memes learned independently or via interactions. In other words, the adaptive utilization of available knowledge memes makes it possible for optimization engines to tailor custom search behaviors on the fly – thereby paving the way to general-purpose problem-solving ability (or artificial general intelligence). In this regard, the book explores some of the latest concepts from the optimization literature, including, the sequential transfer of knowledge across problems, multitasking, and large-scale (high dimensional) search, systematically discussing associated algorithmic developments that align with the general theme of memetics. The presented ideas are intended to be accessible to a wide audience of scientific researchers, engineers, students, and optimization practitioners who are familiar with the commonly used terminologies of evolutionary computation. A full appreciation of the mathematical formalizations and algorithmic contributions requires an elementary background in probability, statistics, and the concepts of machine learning. A prior knowledge of surrogate-assisted/Bayesian optimization techniques is useful, but not essential.
Memristive Nonlinear Electronic Circuits: Dynamics, Synchronization and Applications (SpringerBriefs in Applied Sciences and Technology)
by Fadhil Rahma Saif MuneamMemristive Nonlinear Electronic Circuits deals with nonlinear systems in the design and implementation of circuits for generating complex dynamics. The brief proposes a new memristor model using an inverse tangent function, which achieves the characteristics of the memristor and can be implemented easily because it corresponds to the bipolar transistor differential pair. The authors design a new model-based memristive time-delay system by obtaining a time-delay memristive differential equation, which can generate an n-scroll chaotic attractor by adjusting the proposed nonlinear function. These designs are carried out using OrCAD-PSpice. The brief also presents a new time-delay memristive circuit excited by a nonautonomous staircase function which can generate grid chaotic attractors: new families of grids of n×m-scrolls. For increasingly complex dynamics of the circuits, the authors propose a new five-dimensional autonomous system with two memristors. The dynamical characteristics are investigated by phase portraits and bifurcation diagrams. The brief applies two synchronization methods to the memristive circuits: PC synchronization, and feedback control synchronization. The authors consider synchronization as the idea underlying idea the applications in nonlinear electronic circuits. Finally, the double-memristor system is employed to give rise to a highly secure dual-stage encryption technique.
Meshfree Methods for Partial Differential Equations IX (Lecture Notes in Computational Science and Engineering #129)
by Michael Griebel Marc Alexander SchweitzerThis volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering.The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. While the fundamental theory of meshfree methods has been developed and considerable advances of the various methods have been made, many challenges in the mathematical analysis and practical implementation of meshfree methods remain.This symposium aims to promote collaboration among engineers, mathematicians, and computer scientists and industrial researchers to address the development, mathematical analysis, and application of meshfree and particle methods especially to multiscale phenomena. It continues the 2-year-cycled Workshops on Meshfree Methods for Partial Differential Equations.
Metabolomics: Practical Guide to Design and Analysis (Chapman & Hall/CRC Computational Biology Series)
by Ron Wehrens and Reza SalekMetabolomics is the scientific study of the chemical processes in a living system, environment and nutrition. It is a relatively new omics science, but the potential applications are wide, including medicine, personalized medicine and intervention studies, food and nutrition, plants, agriculture and environmental science. The topics presented and discussed in this book are based on the European Molecular Biology Organization (EMBO) practical courses in metabolomics bioinformatics taught to those working in the field, from masters to postgraduate students, PhDs, postdoctoral and early PIs. The book covers the basics and fundamentals of data acquisition and analytical technologies, but the primary focus is data handling and data analysis. The mentioning and usage of a particular data analysis tool has been avoided; rather, the focus is on the concepts and principles of data processing and analysis. The material has been class-tested and includes lots of examples, computing and exercises. Key Features: Provides an overview of qualitative /quantitative methods in metabolomics Offers an introduction to the key concepts of metabolomics, including experimental design and technology Covers data handling, processing, analysis, data standards and sharing Contains lots of examples to illustrate the topics Includes contributions from some of the leading researchers in the field of metabolomics with extensive teaching experiences
Metadata and Semantic Research: 13th International Conference, MTSR 2019, Rome, Italy, October 28–31, 2019, Revised Selected Papers (Communications in Computer and Information Science #1057)
by Emmanouel Garoufallou Francesca Fallucchi Ernesto William De LucaThis book constitutes the thoroughly refereed proceedings of the 13th International Conference on Metadata and Semantic Research, MTSR 2019, held in Rome, Italy, in October 2019. The 27 full and 15 short papers presented were carefully reviewed and selected from 96 submissions. The papers are organized in the following tracks: metadata and semantics for digital libraries, information retrieval, big, linked, social and open data; metadata and semantics for agriculture, food, and environment; digital humanities and digital curation; cultural collections and applications; european and national projects; metadata, identifiers and semantics in decentralized applications, blockchains and P2P systems.
Metaheuristics: Outlines, MATLAB Codes and Examples
by Ali Kaveh Taha BakhshpooriThe book presents eight well-known and often used algorithms besides nine newly developed algorithms by the first author and his students in a practical implementation framework. Matlab codes and some benchmark structural optimization problems are provided. The aim is to provide an efficient context for experienced researchers or readers not familiar with theory, applications and computational developments of the considered metaheuristics. The information will also be of interest to readers interested in application of metaheuristics for hard optimization, comparing conceptually different metaheuristics and designing new metaheuristics.
Methods and Models in Mathematical Programming
by F. Hooshmand S. A. MirHassaniThis book focuses on mathematical modeling, describes the process of constructing and evaluating models, discusses the challenges and delicacies of the modeling process, and explicitly outlines the required rules and regulations so that the reader will be able to generalize and reuse concepts in other problems by relying on mathematical logic.Undergraduate and postgraduate students of different academic disciplines would find this book a suitable option preparing them for jobs and research fields requiring modeling techniques. Furthermore, this book can be used as a reference book for experts and practitioners requiring advanced skills of model building in their jobs.
Methods in Experimental Economics: An Introduction (Springer Texts in Business and Economics)
by Joachim Weimann Jeannette Brosig-KochThis textbook provides a hands-on and intuitive overview of the methodological foundations of experimental economics. Experimental economic research has been an integral part of economic science for quite some time and is gaining more and more attention in related disciplines. The book addresses the design and execution of experiments, the evaluation of experimental data and the equipment of an experimental laboratory. It illustrates the challenges involved in designing and conducting experiments and helps the reader to address them in practice.
Microsoft Dynamics 365 Business Central Cookbook: Effective recipes for developing and deploying applications with Dynamics 365 Business Central
by Michael GlueGain useful insights to help you efficiently build, test, and migrate customized solutions on Business Central cloud and on-premise platforms Key Features Explore enhanced functionalities and development best practices in Business Central Develop powerful Business Central projects using the AL language Master the new Business Central with easy-to-follow recipes Book Description Microsoft Dynamics 365 Business Central is a complete business management solution that can help you streamline business processes, connect individual departments in your company, and enhance customer interactions. Ok. That first part was really professional sounding, right? Now, let's get into what this cookbook is going to do for you: put simply, it's going to help you get things done. This book will help you get to grips with the latest development features and tools for building applications using Business Central. You'll find recipes that will guide you in developing and testing applications that can be deployed to the cloud or on-premises. For the old-schoolers out there, you'll also learn how to take your existing Dynamics NAV customizations and move them to the new AL language platform. Also, if you haven't figured it out already, we're going to be using very normal language throughout the book to keep things light. After all, developing applications is fun, so why not have fun learning as well! What you will learn Build and deploy Business Central applications Use the cloud or local sandbox for application development Customize and extend your base Business Central application Create external applications that connect to Business Central Create automated tests and debug your applications Connect to external web services from Business Central Who this book is for This book is for Dynamics developers and administrators who want to become efficient in developing and deploying applications in Business Central. Basic knowledge and understanding of Dynamics application development and administration is assumed.
Migration, Gender and Care Economy
by S. Irudaya Rajan N. NeethaThis volume closely analyses women’s role and experiences in migration (internal and international) and its interlinkages with the care economy in their functions as nurses and paid domestic workers as well as unpaid carers. Bringing together case studies from across India and other parts of the world, the essays in the volume capture the characteristics and specificities of female migration in different settings — be it for economic or associational reasons, or as left behind members. The book also looks at gender-specific discriminations and vulnerabilities along with the empowering aspects of migration. This volume will be of great interest to scholars and researchers of migration, gender studies, sociology, and social anthropology, as well as development studies, demography, and economics.
Military Applications of Data Analytics (Data Analytics Applications)
by Kevin HugginsMilitary organizations around the world are normally huge producers and consumers of data. Accordingly, they stand to gain from the many benefits associated with data analytics. However, for leaders in defense organizations—either government or industry—accessible use cases are not always available. This book presents a diverse collection of cases that explore the realm of possibilities in military data analytics. These use cases explore such topics as: <li>Context for maritime situation awareness <li>Data analytics for electric power and energy applications <li>Environmental data analytics in military operations <li>Data analytics and training effectiveness evaluation <li>Harnessing single board computers for military data analytics <li>Analytics for military training in virtual reality environments <P><P>A chapter on using single board computers explores their application in a variety of domains, including wireless sensor networks, unmanned vehicles, and cluster computing. The investigation into a process for extracting and codifying expert knowledge provides a practical and useful model for soldiers that can support diagnostics, decision making, analysis of alternatives, and myriad other analytical processes. Data analytics is seen as having a role in military learning, and a chapter in the book describes the ongoing work with the United States Army Research Laboratory to apply data analytics techniques to the design of courses, evaluation of individual and group performances, and the ability to tailor the learning experience to achieve optimal learning outcomes in a minimum amount of time. Another chapter discusses how virtual reality and analytics are transforming training of military personnel. Virtual reality and analytics are also transforming monitoring, decision making, readiness, and operations. <P><P>Military Applications of Data Analytics brings together a collection of technical and application-oriented use cases. It enables decision makers and technologists to make connections between data analytics and such fields as virtual reality and cognitive science that are driving military organizations around the world forward.
The Millennial Mosaic: How Pluralism and Choice Are Shaping Canadian Youth and the Future of Canada
by Joel Thiessen Reginald W. Bibby Monetta BaileyThe bottom line: Millennials are looking good There’s a lot of consternation about the Millennial generation — Canada’s youngest adults born since the mid-1980s and now reaching their thirties. But the speculation has not been accompanied by sound and comprehensive information — until now. Highly respected sociologist and veteran trend-tracker Reginald W. Bibby teams up with two Gen X colleagues, Joel Thiessen and Monetta Bailey, to provide an up-to-date reading on how Millennials see the world — their values, joys, and concerns; their views of family, sexuality, spirituality, and other Canadians; and their hopes and expectations as they look to the future. What’s more, the authors compare Millennials with Gen Xers, Boomers, and Pre-Boomers. Their conclusion? Canada’s much-criticized Millennials may well be a solid upgrade on previous generations — speaking well for the country’s future.
Million Dollar Maths: The Secret Maths of Becoming Rich (or Poor)
by Hugh BarkerHow can you turn $1000 into $1 million? What is the best way to beat the lottery odds? When is the best time to take out a loan? How did one group of gamblers bet on hole-in-ones to win £500,000? How can maths help you set up a successful tech start-up? What about proving the Goldbach Conjecture for $1 million?Million Dollar Maths is a fun but invaluable guide to the straightforward and outlandish mathematical strategies that can make you rich. Learn the techniques for growing your everyday finances, as well as the common mistakes to avoid. Discover the skills, both fair and foul, that offer an additional edge when investing and gambling. And discover why we often misunderstand probability and statistics - with troubling financial costs. From making the most of special offers to utilising the power of exponential growth in your investments; from the art of card counting, to inventing the next Google, Million Dollar Maths is the quintessential primer to the myriad ways maths and finance intersect.
Mind and Matter: A Life in Math and Football
by Louisa Thomas John UrschelFor John Urschel, what began as an insatiable appetite for puzzles as a child developed into mastery of the elegant systems and rules of mathematics. By the time he was thirteen, Urschel was auditing a college-level calculus course. But when he joined his high school football team, a new interest began to eclipse the thrill he felt in the classroom. Football challenged Urschel in an entirely different way, and he became addicted to the physical contact of the sport. After he accepted a scholarship to play at Penn State, his love of math was rekindled. As a Nittany Lion, he refused to sacrifice one passion for the other. Against the odds, Urschel found a way to manage his double life as a scholar and an athlete. While he was an offensive lineman for the Baltimore Ravens, he simultaneously pursued his PhD in mathematics at MIT. Weaving together two separate narratives, Urschel relives for us the most pivotal moments of his bifurcated life. He explains why, after Penn State was sanctioned for the acts of former coach Jerry Sandusky, he declined offers from prestigious universities and refused to abandon his team. He describes his parents’ different influences and their profound effect on him, and he opens up about the correlation between football and CTE and the risks he took for the game he loves. Equally at home discussing Georg Cantor’s work on infinities and Bill Belichick’s playbook, Urschel reveals how each challenge—whether on the field or in the classroom—has brought him closer to understanding the two different halves of his own life, and how reason and emotion, the mind and the body, are always working together. “So often, people want to divide the world into two,” he observes. “Matter and energy. Wave and particle. Athlete and mathematician. Why can’t something (or someone) be both?”
Mindset Mathematics: Visualizing And Investigating Big Ideas, Grade 5 (Mindset Mathematics)
by Jo Boaler Jen Munson Cathy WilliamsEngage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the seventh-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Mindset Mathematics: Visualizing And Investigating Big Ideas, Grade 5 (Mindset Mathematics Ser.)
by Jo Boaler Jen Munson Cathy WilliamsEngage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the sixth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
**Missing** (Problem Books in Mathematics)
by Cornel Ioan VăleanThis book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
Mit Funktionen Zusammenhänge und Veränderungen beschreiben (Mathematik Primarstufe und Sekundarstufe I + II)
by Hans Humenberger Berthold SchupparIn diesem Buch soll gezeigt werden, was Funktionen in der Mathematik und in Anwendungssituationen leisten können bzw. sollen. Funktionen haben bekanntlich viele Gesichter, und das Thema ist im schulischen Mathematikunterricht und auch in den Lehramtsstudiengängen prominent vertreten. Da ist es natürlich besonders wichtig, dass Studierende einen angemessenen Zugang zu diesem Thema bekommen, sodass sie einen solchen auch an ihre zukünftigen Schüler/innen weitergeben können. Im Buch werden viele praktische und fachwissenschaftliche Aspekte angesprochen und miteinander vernetzt (z. B. zur Geometrie und zur Stochastik), die u. E. zu einem tragfähigen Gesamtbild von „Elementaren Funktionen“ führen, wobei sich an manchen Stellen auch fachdidaktische Betrachtungen finden. Dabei sollen weder Realitätsbezüge noch innermathematische Zusammenhänge und Begründungen zu kurz kommen. Dem nicht ganz leichten Ziel, Verständlichkeit und mathematische Exaktheit miteinander zu verbinden, wollen wir mit diesem Buch ein Stück näher kommen. Zahlreiche Aufgaben (teilweise mit Lösungshinweisen) runden jedes Kapitel ab und sollen Leser/innen zum Üben, Verstehen und Weiterdenken anregen.