Although many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. This thoroughly revised second edition of Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples based on the experience of the author as a consultant and Wolfram certified instructor. The examples strike a balance between relevance and difficulty in terms of Mathematica syntax, allowing readers to incrementally build up their Mathematica skills as they go through the chapters While reading this book, you will also learn more about the Wolfram Language and how to use it to solve a wide variety of problems. The author raises questions from a wide range of topics and answers them by taking full advantage of Mathematica's latest features. For example: What sources of energy does the world really use? Are our cities getting warmer? Is the novel El Quixote written in Pi? Is it possible to reliably date the Earth using radioactive isotopes? How can we find planets outside our solar system? How can we model epidemics, earthquakes and other natural phenomena? What is the best way to compare organisms genetically? This new edition introduces the new capabilities added to the latest version of Mathematica (version 13), and discusses new topics related to machine learning, big data, finance economics, and physics. New to the Second Edition Separate sections containing carefully selected additional resources that can be accessed from either Mathematica or online Online Supplementary materials including code snippets used in the book and additional examples. Updated commands to take full advantage of Mathematica 13.

The second edition of this book offers a unique approach to making mathematics education research on the teaching and learning of multiplication and division concepts readily accessible and understandable to pre-service and in-service K-6 mathematics teachers. Revealing students' thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers' experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: New chapters on the OGAP Multiplicative Reasoning Framework and Learning Progressions and Using the OGAP Multiplicative Progression to inform instruction and support student learning In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research Case Studies are presented, focusing on a core mathematical idea and different types of instructional responses, to illustrate how teachers can elicit evidence of student thinking and use that information to inform instruction Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students Instructional Links help teachers relate concepts from each chapter to their own instructional materials and programs Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression A Focus on Multiplication and Division is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and fractions, this updated new edition bridges the gap between what math education researchers know and what teachers need to know to better understand evidence in student work and make effective instructional decisions.

The new "sine" of mathematical geekdom! Do you dream about long division in your sleep? Does the thought of solving abstruse equations bring a smile to your face? Do you love celebrating pi every March? Then, Math Geek was made for you! With this guide, you'll learn even more about the power of numbers as you explore their brilliant nature in ways you've never imagined. From manhole covers to bubbles to subway maps, each page gives you a glimpse of the world through renowned mathematicians' eyes and reveals how their theorems and equations can be applied to nearly everything you encounter. Covering dozens of your favorite math topics, you'll find fascinating answers to questions like: How are the waiting times for buses determined? Why is Romanesco Broccoli so mesmerizing? How do you divide a cake evenly? Should you run or walk to avoid rain showers? Filled with compelling mathematical explanations, Math Geek sheds light on the incredible world of numbers hidden deep within your day-to-day life.

Many students find the leap between school and university level mathematics to be significantly greater than they expected. Success with Mathematics has been devised and written especially in order to help students bridge that gap. It offers clear, practical guidance from experienced teachers of mathematics in higher education on such key issues as:

*getting started
*ways of studying
*assessment
*mathematical communication
*learning by doing
*using ICT
*using calculators
* what next

After reading this book, students will find themselves much better prepared for the change in pace, rigour and abstraction they encounter in degree level mathematics. They will also find themselves able to broaden their learning strategies and improve their self-directed study skills. This book is essential reading for anyone following, or about to undertake, a degree in mathematics, or other degree courses with mathematical content.

Related link: http://mcs.open.ac.uk/SkillMath/

The MathFilm DVD presents a juried collection of innovative short math videos. The films are winners of the international competition of the MathFilm Festival 2008. Following the May premiere in Berlin, the festival films are shown in public viewings throughout Germany. The festival is part of the "Year of Mathematics" initiative of the Federal Ministry of Education and Research. The films target a broad audience of students, teachers, and everyone with an interest in mathematics. The topics range from geometry to graphics, from computing to visualization, from historic to modern achievements, from abstract mathematical worlds to real-world applications. The DVD provides entertaining and informative insights into modern mathematics and is an exciting resource for lively school and university courses.

Examines flawed usage of math in public affairs through actual cases of how mathematical data and conclusions can be distorted and misrepresented to influence public opinion. Highlights how slippery numbers and questionable mathematical conlusions emerge and what can be done to safeguard against them. This pragmatic book examines flawed usage of math in public affairs through actual cases of how mathematical data and conclusions can be distorted and misrepresented to influence public opinion-highlighting how slippery numbers and questionable mathematical conclusions emerge and what can be done to safeguard against them. Gives specific examples of governmental and private sector math manipulation. Slippery Math in Public Affairs analyzes the cost of "slippery math" in terms of squandered resources identifies common misperceptions about the role of math in public affairs discusses how math education can be reformed to sharpen public awareness of "slippery math" offers exemplary self-study programs to improve perspective on the use of math depicts the development of math models and their use and misuse considers proper and improper polling methods With nearly 200 references cited, this book will benefit math teachers; educators; mathematicians; applied statisticians; multivariate analysts; biomathematicians and medical personnel; public administrators; political scientists; business administrators; operations managers; urban and public affairs officials; economists; demographers; sociologists; anthropologists; public-policy makers; public affairs analysts and commentators; journalists; and the general reader who seeks to avoid being manipulated by math; and is essential reading for undergraduate and graduate students in the aforementioned disciplines.

As data is an important asset for any organization, it is essential to apply semantic technologies in data science to fulfill the need of any organization. This volume of a two-volume handbook set provides a roadmap for new trends and future developments of data science with semantic technologies. Data Science with Semantic Technologies: New Trends and Future Developments highlights how data science enables the user to create intelligence through these technologies. In addition, this book offers the answers to various questions such as can semantic technologies be able to facilitate data science? Which type of data science problems can be tackled by semantic technologies? How can data scientists get benefited from these technologies? What is the role of semantic technologies in data science? What is the current progress and future of data science with semantic technologies? Which types of problems require the immediate attention of the researchers? What should be the vision 2030 for data science? This volume can serve as an important guide towards applications of data science with semantic technologies for the upcoming generation and thus becomes a unique resource for scholars, researchers, professionals, and practitioners in this field.

Gone are the days when data was interlinked with related data by humans and to find insights coherently, human interpretation was required. Data is no more just data. It is now considered a Thing or Entity or Concept- to bring the meaning to it, so that a machine not only understands the concept but also extrapolates the way humans do. Data Science with Semantic Technologies: Deployment and Exploration volume of a two-volume handbook set provides a roadmap for the deployment of semantic technologies in the field of data science and enables the user to create intelligence through these technologies by exploring the opportunities and eradicating the challenges in the current and future time frame. In addition, this book offers the answer to various questions like What makes a technology semantic as opposed to other approaches to data science? What is knowledge data science? How does knowledge data science relate to other fields? This book explores the optimal use of these technologies to provide the highest benefit to the user under one comprehensive source and title. As there is no dedicated book available in the market on this topic at this time, this proposed new book becomes a unique and only resource for scholars, researchers, data scientists, professionals, and practitioners. This volume can serve as an important guide towards applications of data science with semantic technologies for the upcoming generation and thus becomes a unique resource for scholars, researchers, professionals, and practitioners in this field.

Worried about getting the dose wrong?Don't know your fractions from your decimals?You're not alone! Many people are not comfortable with their mathematical abilities but for most it's not a life or death situation. For nurses, however, a 'bad maths day' can have catastrophic consequences if drug dosages are calculated incorrectly.Practical Nursing Calculations provides easy to understand explanations of key calculations. The many exercises offer opportunities to practise basic problem-solving to help build your confidence. The use of real-life situations demonstrates how maths is actually applied when working with patients. Realistic scenarios introduce common presenting illnesses and the medications used to treat them, and enables you to calculate their correct dosages.This book has been developed to assist you to gain competency in basic mathematical skills and problem-solving techniques which require applied or conceptual mathematics. Practical Nursing Calculations has emerged from actual classroom curriculum and ten years of teaching in a major nursing school.Easy to use, Practical Nursing Calculations provides you with a thorough grounding in the fundamentals of mathematics and a sense of how to apply your knowledge in your professional lives. A sound teaching and learning resource, this book is appropriate for self-directed learning or as a classroom guide.This text is accompanied by a password-accessed website with extra exercises and quizzes.www.allenandunwin/nursing

An exploration of the key issues in the teaching of mathematics, a key subject in its own right, and one that forms an important part of many other disciplines. The volume includes contributions from a wide range of experts in the field, and has a broad and international perspective. It is part of a series on effective learning and teaching in higher education. Each volume in the series contains advice, guidance and expert opinion on teaching in the key subjects in higher education today, and are backed up by the authority of the Institute for Learning and Teaching.

Becoming a Successful Teacher of Maths is a practical guide for newly qualified teachers of secondary mathematics. It develops the essential core knowledge, skills and understanding demanded by the new DfEE requirements for courses of initial teacher training. It is based on research findings relating to the organisation and management of maths classrooms, teaching approaches, assessment and the common misconceptions which often hinder pupils' progress in key areas of the National Curriculum. Theoretical principles are exemplified through case-study material. Suggestions for school-based activities are made. While being a practical 'how to' guide for beginning teachers, it also offers critical insights for more experience teachers reflecting on their practice.

Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity.

What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough?

Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Pure Mathematics 1 matches the corresponding unit of the syllabus, with a clear and logical progression through. It contains materials on topics such as quadratics, functions, coordinate geometry, circular measure, series, differentiation and integration. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

Shows how to use linguistic understanding to improve communication of mathematics teaching
*Fresh and stimulating analysis of language in mathematics talk
Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analyzed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.

This new monograph presents Dr. Luce's current understanding of the behavioral properties people exhibit (or should exhibit) when they make selections among alternatives and how these properties lead to numerical representations of those preferences. It summarizes, and places in historical perspective, the research Dr. Luce has done on utility theory for over 10 years. Included are axiomatic theoretical formulations, experiments designed to test individual assumptions, and analyses of the fit to bodies of data of numerical representations derived from the theory.

The Handbook of Research Design in Mathematics and Science Education is based on results from an NSF-supported project (REC 9450510) aimed at clarifying the nature of principles that govern the effective use of emerging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research designs that: * have been pioneered recently by mathematics and science educators; * have distinctive characteristics when they are used in projects that focus on mathematics and science education; and * have proven to be especially productive for investigating the kinds of complex, interacting, and adapting systems that underlie the development of mathematics or science students and teachers, or for the development, dissemination, and implementation of innovative programs of mathematics or science instruction. The volume emphasizes research designs that are intended to radically increase the relevance of research to practice, often by involving practitioners in the identification and formulation of the problems to be addressed or in other key roles in the research process. Examples of such research designs include teaching experiments, clinical interviews, analyses of videotapes, action research studies, ethnographic observations, software development studies (or curricula development studies, more generally), and computer modeling studies. This book's second goal is to begin discussions about the nature of appropriate and productive criteria for assessing (and increasing) the quality of research proposals, projects, or publications that are based on the preceding kind of research designs. A final objective is to describe such guidelines in forms that will be useful to graduate students and others who are novices to the fields of mathematics or science education research. The NSF-supported project from which this book developed involved a series of mini conferences in which leading researchers in mathematics and science education developed detailed specifications for the book, and planned and revised chapters to be included. Chapters were also field tested and revised during a series of doctoral research seminars that were sponsored by the University of Wisconsin's OERI-supported National Center for Improving Student Learning and Achievement in Mathematics and Science. In these seminars, computer-based videoconferencing and www-based discussion groups were used to create interactions in which authors of potential chapters served as "guest discussion leaders" responding to questions and comments from doctoral students and faculty members representing more than a dozen leading research universities throughout the USA and abroad. A Web site with additional resource materials related to this book can be found at http://www.soe.purdue.edu/smsc/lesh/ This internet site includes directions for enrolling in seminars, participating in ongoing discussion groups, and submitting or downloading resources which range from videotapes and transcripts, to assessment instruments or theory-based software, to publications or data samples related to the research designs being discussed.

The book outlines two separate processes for working with groups and discusses their separate applications as well as how they work together for a holistic approach to institutional transformation; it emphasizes group level processes, including academic departments, an area which currently lacks development. The text integrates across a wide range of disciplines and interdisciplinary fields, thus it brings institutional transformation concepts into conversations across many boundaries highlighting how insights from one field can address issues in another. The book is timely in topic, focusing on solutions for institutional racism and sexism and a pathway to collectively address calls for racial justice and equity by blending theory and practice into a praxis for how to implement and sustain socially just institutions; it includes outcomes documenting the positive impacts of the practices described in the text.

A critical overview of the current debate and topical thinking on international comparative investigations in mathematics education. The contributors are all major figures in international comparisons in mathematics. The book highlights strengths and weaknesses in various systems worldwide, allowing teachers, researchers and academics to compare and contrast different approaches. A significant contribution to the international debate on standards in mathematics.

At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum?
Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.

This book constitutes the refereed proceedings of the 8th International Workshop on Algorithms in Bioinformatics, WABI 2008, held in Karlsruhe, Germany, in September 2008 as part of the ALGO 2008 meeting.

The 32 revised full papers presented together with the abstract of a keynote talk were carefully reviewed and selected from 81 submissions. All current issues of algorithms in bioinformatics are addressed, reaching from mathematical tools to experimental studies of approximation algorithms and reports on significant computational analyses. The topics range in biological applicability from genome mapping, to sequence assembly, to microarray quality, to phylogenetic inference, to molecular modeling.

The term used in the title of this volume--thinking practices--evokes questions that the authors of the chapters within it begin to answer: What are thinking practices? What would schools and other learning settings look like if they were organized for the learning of thinking practices? Are thinking practices general, or do they differ by disciplines? If there are differences, what implications do those differences have for how we organize teaching and learning? How do perspectives on learning, cognition, and culture affect the kinds of learning experiences children and adults have?
This volume describes advances that have been made toward answering these questions. These advances involve several agendas, including increasing interdisciplinary communication and collaboration; reconciling research on cognition with research on teaching, learning, and school culture; and strengthening the connections between research and school practice.
The term thinking practices is symbolic of a combination of theoretical perspectives that have contributed to the volume editors' understanding of how people learn, how they organize their thinking inside and across disciplines, and how school learning might be better organized. By touring through some of the perspectives on thinking and learning that have evolved into school learning designs, Greeno and Goldman begin to establish a frame for what they are calling thinking practices. This volume is a significant contribution to a topic that they believe will continue to emerge as a coherent body of scientific and educational research and practice.

Takes an applied approach to communication ethics emphasizing the development of personal standards for use in personal, professional, and social life Core textbook for communication and media ethics courses 3rd edition features new content focused on digital communication, trauma, partisan political divisions, and the COVID-19 pandemic Online resources for instructors include instructor's manual including section on online teaching, sample assignments, and PowerPoint slides

This book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents:
* theoretical perspectives for studying, analyzing, and understanding teacher change;
* descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and
* descriptions of professional development programs that resulted in teacher change.
One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.

Posthuman Community Psychology is an exploration of mainstream psychology through a critical posthumanity perspective, examining psychology’s place in the world and its relationship with marginalised people, with a focus on people with disabilities. The book argues that the history of modern psychology is underpinned by reductionism and individualism, which is embedded within the contemporary psychology that we know today despite the challenges from critical and community psychologists who seek a more empowering, inclusive, and activist psychology. The posthuman community psychology ideas that emerge in this book examine and intersect with mainstream psychology, critical and community psychologies, critical posthumanities and disability studies to propose an imaginative, reflective, and relational new psychology that represents a collection of possibilities that do not remain entrenched in older ways of thinking about humans and human connections. Richards proposes that psychology has the potential to evolve and make a powerful and profound difference for marginalised people, but a genuine desire for change from psychologists is essential for this to happen. Illustrating the important considerations needed when examining the relationship between the discipline of psychology and marginalised people, this book is fascinating reading for community psychology students and academics, aspiring professional psychologists, community workers, and policy makers.