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Urban Informatics: Using Big Data to Understand and Serve Communities (Chapman & Hall/CRC Data Science Series)

by Daniel T. O'Brien

Urban Informatics: Using Big Data to Understand and Serve Communities introduces the reader to the tools of data management, analysis, and manipulation using R statistical software. Designed for undergraduate and above level courses, this book is an ideal onramp for the study of urban informatics and how to translate novel data sets into new insights and practical tools. The book follows a unique pedagogical approach developed by the author to enable students to build skills by pursuing projects that inspire and motivate them. Each chapter has an Exploratory Data Assignment that prompts readers to practice their new skills on a data set of their choice. These assignments guide readers through the process of becoming familiar with the contents of a novel data set and communicating meaningful insights from the data to others. Key Features: The technical curriculum consists of both data management and analytics, including both as needed to become acquainted with and reveal the content of a new data set. Content that is contextualized in real-world applications relevant to community concerns. Unit-level assignments that educators might use as midterms or otherwise. These include Community Experience assignments that prompt students to evaluate the assumptions they have made about their data against real world information. All data sets are publicly available through the Boston Data Portal.

Urban Informatics Using Mobile Network Data: Travel Behavior Research Perspectives

by Santi Phithakkitnukoon

This book discusses the role of mobile network data in urban informatics, particularly how mobile network data is utilized in the mobility context, where approaches, models, and systems are developed for understanding travel behavior. The objectives of this book are thus to evaluate the extent to which mobile network data reflects travel behavior and to develop guidelines on how to best use such data to understand and model travel behavior. To achieve these objectives, the book attempts to evaluate the strengths and weaknesses of this data source for urban informatics and its applicability to the development and implementation of travel behavior models through a series of the authors’ research studies.Traditionally, survey-based information is used as an input for travel demand models that predict future travel behavior and transportation needs. A survey-based approach is however costly and time-consuming, and hence its information can be dated and limited to a particular region. Mobile network data thus emerges as a promising alternative data source that is massive in both cross-sectional and longitudinal perspectives, and one that provides both broader geographic coverage of travelers and longer-term travel behavior observation. The two most common types of travel demand model that have played an essential role in managing and planning for transportation systems are four-step models and activity-based models. The book’s chapters are structured on the basis of these travel demand models in order to provide researchers and practitioners with an understanding of urban informatics and the important role that mobile network data plays in advancing the state of the art from the perspectives of travel behavior research.

Urban Intelligence and Applications: Proceedings of ICUIA 2019 (Studies in Distributed Intelligence)

by Xiaohui Yuan Mohamed Elhoseny

This volume presents selected papers from the International Conference on Urban Intelligence and Applications (ICUIA), which took place on May 10-12, 2019 in Wuhan, China. The goal of the conference was to bring together researchers, industry leaders, policy makers, and administrators to discuss emerging technologies and their applications to advance the design and implementation of intelligent utilization and management of urban assets, and thus contributing to the autonomous, reliable, and efficient operation of modern, smart cities. The papers are collated to address major themes of urban sustainability, urban infrastructure and management, smart city applications, image and signal processing, natural language processing, and machine learning for monitoring and communications applications. The book will be of interest to researchers and industrial practitioners working on geospatial theories and tools, smart city applications, urban mobility and transportation, and community well-being and management.

Urban Problems and Planning in the Developed World (Routledge Revivals)

by Michael Pacione

This edited collection, first published in 1981, presents a discussion of the urban problems faced in the developed world, and addresses the plans and policies devised by governments to solve them. Using a number of city-based case studies, including New York, Tokyo and Glasgow, the authors present a thorough analysis of urban problems and planning in relation to varying economic, cultural and political conditions throughout the developed world. With a detailed general survey from Michael Pacione, this is a comprehensive and relevant guide, which will be of particular value to students and scholars of urban planning and geography.

Urban Socio-Economic Segregation and Income Inequality: A Global Perspective (The Urban Book Series)

by Maarten Van Ham Tiit Tammaru Rūta Ubarevičienė Heleen Janssen

This open access book investigates the link between income inequality and socio-economic residential segregation in 24 large urban regions in Africa, Asia, Australia, Europe, North America, and South America. It offers a unique global overview of segregation trends based on case studies by local author teams. The book shows important global trends in segregation, and proposes a Global Segregation Thesis.Rising inequalities lead to rising levels of socio-economic segregation almost everywhere in the world. Levels of inequality and segregation are higher in cities in lower income countries, but the growth in inequality and segregation is faster in cities in high-income countries. This is causing convergence of segregation trends. Professionalisation of the workforce is leading to changing residential patterns. High-income workers are moving to city centres or to attractive coastal areas and gated communities, while poverty is increasingly suburbanising. As a result, the urban geography of inequality changes faster and is more pronounced than changes in segregation levels. Rising levels of inequality and segregation pose huge challenges for the future social sustainability of cities, as cities are no longer places of opportunities for all.

Urban Village Redevelopment in Beijing, China: New Housing Opportunities for Migrant Workers

by Ran Liu

The book provides a multi-stage assessment of the changing housing opportunities of migrant workers in the three stages of Beijing’s urban village development (emergence, erasure and preservation). The volume re-theorizes Henry Lefebvre’s notion of the “right to the city” as a largely property-based concept that falls within the city’s hybrid tenure matrix of varying degrees of tenure security and formality that is undergoing entrepreneurialization or gentrification. This is another highly valuable contribution to China studies from the geographical perspective of the “territorial politics” at play in the process of urban village redevelopment, which has fostered a new propertied landowning class as winners, while moving low-wage migrants. The book takes the reader on a fascinating journey from peri-urban villages to IT worker villages to artists’ villages, revealing a restless landscape of urbanism and state-centered governance, as well as bottom-up counterplots. The fieldwork explores the contradictions of urban village redevelopment in Beijing. On the one hand, it is state-dominated and yet creates new housing opportunities for migrants; on the other, it disrupts old orders but also encourages new forms of grassroots alliances. The empirical studies of Beijing’s urban villages enrich Henry Lefebvre’s discourse on “planetary urbanisation,” Gilles Deleuze and Félix Guattari’s notion of the “rhizome,” and Elinor Ostrom’s ideas on the wise management of the “commons.”

Urbanism and the Changing Canadian Society

by S. D. Clark

In this collection of essays the changing structure of the Canadian community, especially in its urban growth, is brought before the reader with many fresh insights, much vigorous comment, and apt illustration. The authors, concentrating on certain kinds of problems which have interested them individually, provide for student and general reader stimulating analysis of social phenomena which are under lively examination these days in Canada and beyond both in popular and semi-popular journals and magazines and in learned writings.Nathan Keyfitz opens the volume with a valuable background analysis of the way in which the population of Canada has reached its present numbers and distribution and examines the effects of immigration and of changing rates of birth and death. S.D. Clark deals with the controversial question of what the real characteristics of the suburban community can be seen to be and comments forcefully on the "suburbia" of Riesman, Whyte, et al. W.E. Mann presents a fascinating analysis of the patterns of life in a slum area of Toronto which swarms with factory workers and truck-drivers, with people of many racial origins, and which has developed social habits based largely on rooming-houses, small shops, and pubs. Jean Burnet provides an historical account of changing moral standards of sobriety and piety as reflected in sabbatarian and temperance movements in Toronto, long regarded as the quintessence of severity. Oswald Hall gives a valuable analysis of the patterns of growth in the professions and of the kinds of competitive struggles going on within them and at the borders between them as new groups strive to win this status in society. P.J. Giffen takes up an important related question of how interests of a self-governing profession relate to the expectations of the public and uses the legal profession as his example. Finally, Leo Zakuta adds to the scanty literature on Canadian political parties an analysis of the changing character of the C.C.F., long the dominant force in left-of-centre politics.The authors all are, or have been members of the staff in sociology at the University of Toronto, and their essays convey an excellent picture of the liveliness of the work they jointly carry forward. This volume will thus serve not only to introduce students to some of the kinds of problems sociologists are thinking about but will also make better known to them as a group some of the sociologists in Canada who are engaged with them.

Urknall im Labor

by Dieter B. Herrmann

Die 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 Seltzer

The 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.

A User's Guide to Business Analytics

by Ayanendranath Basu Srabashi Basu

A 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 Pollard

This 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 Maschietto

This 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 Vale

This 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-Armella

This 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 Knight

Celebrate 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 Knight

Celebrate 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 Lowndes

All 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 Sellars

All 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. Corty

Eric 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 Briggs

Using 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. Briggs

The 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. Briggs

Using 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. Lanier

This 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 Evans

Using 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 White

Learn 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.

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