Developing Thinking In Statistics

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Developing Thinking in Statistics

Alan Graham
Developing Thinking in Statistics Book PDF

Author : Alan Graham
Publisher : Paul Chapman Educational Publishing
Page : 294 pages
File Size : 48,8 Mb
Release : 2006-03-03
Category : Education
ISBN : 1412911672

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Developing Thinking in Statistics by Alan Graham Pdf

′This book should prove to be an important addition to the relatively few publications that exist on statistical thinking. It very nicely encourages the reader to take an active learning approach through simultaneously promoting pedagogy with knowledge and skills enhancement in statistics. Understanding what the subject is for and what it can do are crucial in statistical education - by getting the reader to think statistically Mr Graham has provided us with a very readable book that helps to dispel the poor reputation that statistics has acquired over many years′ - Professor Neville Davies, Director, Royal Statistical Society Centre for Statistical Education, Nottingham Trent University Statistics is a key area of the school mathematics curriculum where maths and the real world meet. Although potentially a subject where teaching can be motivating and relevant to everyday concerns, it is often seen as boring and involving largely mechanical calculations. This book will enable teachers and others interested in statistical thinking to become excited and inspired by the big ideas of statistics and, in turn, teach them enthusiastically learners. Designed to heighten awareness of statistical ideas, the book explores key themes within statistics using ideas developed by the influential team at The Open University′s Centre for Mathematics Education. Themes include: · Measurement · Variation · Randomness · Uncertainty Arranged in an accessible task-based format, this is an essential text for all secondary maths teachers and students of maths education. It is a comprehensive book that will illuminate and inspire interest in the subject, based on innovative use of ICT, engaging narrative, firm research and good practice. Developing Thinking in Statistics is a set book on the Open University Course ME626 Developing Statistical Thinking, part of the Graduate Diploma in Mathematics Education.

The Challenge of Developing Statistical Literacy, Reasoning and Thinking

Dani Ben-Zvi,Joan Garfield
The Challenge of Developing Statistical Literacy Reasoning and Thinking Book PDF

Author : Dani Ben-Zvi,Joan Garfield
Publisher : Springer Science & Business Media
Page : 423 pages
File Size : 40,9 Mb
Release : 2006-02-23
Category : Mathematics
ISBN : 9781402022784

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The Challenge of Developing Statistical Literacy, Reasoning and Thinking by Dani Ben-Zvi,Joan Garfield Pdf

Unique in that it collects, presents, and synthesizes cutting edge research on different aspects of statistical reasoning and applies this research to the teaching of statistics to students at all educational levels, this volume will prove of great value to mathematics and statistics education researchers, statistics educators, statisticians, cognitive psychologists, mathematics teachers, mathematics and statistics curriculum developers, and quantitative literacy experts in education and government.

Developing Thinking in Algebra

John Mason
Developing Thinking in Algebra Book PDF

Author : John Mason
Publisher : SAGE
Page : 340 pages
File Size : 42,8 Mb
Release : 2005-04-23
Category : Mathematics
ISBN : 1412911710

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Developing Thinking in Algebra by John Mason Pdf

By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, this book makes it possible for all learners to succeed in thinking algebraically.

Statistical Thinking

Roger W. Hoerl,Ronald D. Snee
Statistical Thinking Book PDF

Author : Roger W. Hoerl,Ronald D. Snee
Publisher : John Wiley & Sons
Page : 640 pages
File Size : 45,6 Mb
Release : 2020-09-16
Category : Business & Economics
ISBN : 9781119605713

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Statistical Thinking by Roger W. Hoerl,Ronald D. Snee Pdf

Apply statistics in business to achieve performance improvement Statistical Thinking: Improving Business Performance, 3rd Edition helps managers understand the role of statistics in implementing business improvements. It guides professionals who are learning statistics in order to improve performance in business and industry. It also helps graduate and undergraduate students understand the strategic value of data and statistics in arriving at real business solutions. Instruction in the book is based on principles of effective learning, established by educational and behavioral research. The authors cover both practical examples and underlying theory, both the big picture and necessary details. Readers gain a conceptual understanding and the ability to perform actionable analyses. They are introduced to data skills to improve business processes, including collecting the appropriate data, identifying existing data limitations, and analyzing data graphically. The authors also provide an in-depth look at JMP software, including its purpose, capabilities, and techniques for use. Updates to this edition include: A new chapter on data, assessing data pedigree (quality), and acquisition tools Discussion of the relationship between statistical thinking and data science Explanation of the proper role and interpretation of p-values (understanding of the dangers of “p-hacking”) Differentiation between practical and statistical significance Introduction of the emerging discipline of statistical engineering Explanation of the proper role of subject matter theory in order to identify causal relationships A holistic framework for variation that includes outliers, in addition to systematic and random variation Revised chapters based on significant teaching experience Content enhancements based on student input This book helps readers understand the role of statistics in business before they embark on learning statistical techniques.

Developing Students’ Statistical Reasoning

Joan Garfield,Dani Ben-Zvi
Developing Students Statistical Reasoning Book PDF

Author : Joan Garfield,Dani Ben-Zvi
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 46,5 Mb
Release : 2008-09-08
Category : Education
ISBN : 9781402083839

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Developing Students’ Statistical Reasoning by Joan Garfield,Dani Ben-Zvi Pdf

Increased attention is being paid to the need for statistically educated citizens: statistics is now included in the K-12 mathematics curriculum, increasing numbers of students are taking courses in high school, and introductory statistics courses are required in college. However, increasing the amount of instruction is not sufficient to prepare statistically literate citizens. A major change is needed in how statistics is taught. To bring about this change, three dimensions of teacher knowledge need to be addressed: their knowledge of statistical content, their pedagogical knowledge, and their statistical-pedagogical knowledge, i.e., their specific knowledge about how to teach statistics. This book is written for mathematics and statistics educators and researchers. It summarizes the research and highlights the important concepts for teachers to emphasize, and shows the interrelationships among concepts. It makes specific suggestions regarding how to build classroom activities, integrate technological tools, and assess students’ learning. This is a unique book. While providing a wealth of examples through lessons and data sets, it is also the best attempt by members of our profession to integrate suggestions from research findings with statistics concepts and pedagogy. The book’s message about the importance of listening to research is loud and clear, as is its message about alternative ways of teaching statistics. This book will impact instructors, giving them pause to consider: "Is what I’m doing now really the best thing for my students? What could I do better?" J. Michael Shaughnessy, Professor, Dept of Mathematical Sciences, Portland State University, USA This is a much-needed text for linking research and practice in teaching statistics. The authors have provided a comprehensive overview of the current state-of-the-art in statistics education research. The insights they have gleaned from the literature should be tremendously helpful for those involved in teaching and researching introductory courses. Randall E. Groth, Assistant Professor of Mathematics Education, Salisbury University, USA

Statistical Thinking and Learning

Brian Greer
Statistical Thinking and Learning Book PDF

Author : Brian Greer
Publisher : Routledge
Page : 168 pages
File Size : 53,6 Mb
Release : 2000
Category : Education
ISBN : UCSD:31822030041271

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Statistical Thinking and Learning by Brian Greer Pdf

Devoted to statistical thinking and learning, this special double issue reflects major developments within statistics education. During recent years, statistics has entered or gained increased prominence in mainstream mathematics curricula in many countries. Some aspects of the relationship between statistics education and mathematics education in general are illustrated, as is the crucial role of statistical education for responsible citizenship in modern society. The articles: * provide analyses of the development of children's statistical thinking, * discuss statistical thinking at a higher and more technical level, and * illustrate the issues central to the development of statistical education.

Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education

Carmen Batanero,Gail Burrill,Chris Reading
Teaching Statistics in School Mathematics Challenges for Teaching and Teacher Education Book PDF

Author : Carmen Batanero,Gail Burrill,Chris Reading
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 47,6 Mb
Release : 2011-07-31
Category : Education
ISBN : 9789400711310

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Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education by Carmen Batanero,Gail Burrill,Chris Reading Pdf

Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education results from the Joint ICMI/IASE Study Teaching Statistics in School Mathematics: Challenges for Teaching and Teacher Education. Oriented to analyse the teaching of statistics in school and to recommend improvements in the training of mathematics teachers to encourage success in preparing statistically literate students, the volume provides a picture of the current situation in both the teaching of school statistics and the pre-service education of mathematics teachers. A primary goal of Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education is to describe the essential elements of statistics, teacher’s professional knowledge and their learning experiences. Moreover, a research agenda that invites new research, while building from current knowledge, is developed. Recommendations about strategies and materials, available to train prospective teachers in university and in-service teachers who have not been adequately prepared, are also accessible to the reader.

Statistical Thinking

Roger W. Hoerl,Ronald D. Snee
Statistical Thinking Book PDF

Author : Roger W. Hoerl,Ronald D. Snee
Publisher : John Wiley & Sons
Page : 544 pages
File Size : 51,9 Mb
Release : 2012-04-09
Category : Business & Economics
ISBN : 9781118236857

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Statistical Thinking by Roger W. Hoerl,Ronald D. Snee Pdf

How statistical thinking and methodology can help you make crucial business decisions Straightforward and insightful, Statistical Thinking: Improving Business Performance, Second Edition, prepares you for business leadership by developing your capacity to apply statistical thinking to improve business processes. Unique and compelling, this book shows you how to derive actionable conclusions from data analysis, solve real problems, and improve real processes. Here, you'll discover how to implement statistical thinking and methodology in your work to improve business performance. Explores why statistical thinking is necessary and helpful Provides case studies that illustrate how to integrate several statistical tools into the decision-making process Facilitates and encourages an experiential learning environment to enable you to apply material to actual problems With an in-depth discussion of JMP® software, the new edition of this important book focuses on skills to improve business processes, including collecting data appropriate for a specified purpose, recognizing limitations in existing data, and understanding the limitations of statistical analyses.

Developing Thinking in Geometry

Sue Johnston-Wilder,John Mason
Developing Thinking in Geometry Book PDF

Author : Sue Johnston-Wilder,John Mason
Publisher : Paul Chapman Educational Publishing
Page : 300 pages
File Size : 50,7 Mb
Release : 2005-09-14
Category : Business & Economics
ISBN : 1412911699

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Developing Thinking in Geometry by Sue Johnston-Wilder,John Mason Pdf

"All readers can use this book to reignite their fascination with mathematics. Fosters not only a curiosity about geometry itself but crucially focuses on how learners can actively engage in thinking about geometry and its central key ideas."-Sylvia Johnson, Professor, Sheffield Hallam University"Exudes activity and interactivity. A book for learning geometry, learning to think more deeply about geometry, and also about its teaching and learning."-David Pimm, Professor, University of AlbertaDeveloping Thinking in Geometry enables teachers and their support staff to experience and teach geometric thinking. Discussing key teaching principles, the book and its accompanying interactive CD-ROM include many activities encouraging readers to extend their own learning, and teaching practices.Drawing on innovative approaches for teaching and learning geometry developed by the Open University's Centre for Mathematics Education, this resource is constructed around the following key themes:InvarianceLanguage and points of viewReasoning using invarianceVisualizing and representing

Thinking Through Statistics

John Levi Martin
Thinking Through Statistics Book PDF

Author : John Levi Martin
Publisher : University of Chicago Press
Page : 377 pages
File Size : 50,9 Mb
Release : 2018-08-21
Category : Social Science
ISBN : 9780226567778

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Thinking Through Statistics by John Levi Martin Pdf

Simply put, Thinking Through Statistics is a primer on how to maintain rigorous data standards in social science work, and one that makes a strong case for revising the way that we try to use statistics to support our theories. But don’t let that daunt you. With clever examples and witty takeaways, John Levi Martin proves himself to be a most affable tour guide through these scholarly waters. Martin argues that the task of social statistics isn't to estimate parameters, but to reject false theory. He illustrates common pitfalls that can keep researchers from doing just that using a combination of visualizations, re-analyses, and simulations. Thinking Through Statistics gives social science practitioners accessible insight into troves of wisdom that would normally have to be earned through arduous trial and error, and it does so with a lighthearted approach that ensures this field guide is anything but stodgy.

Topics and Trends in Current Statistics Education Research

Gail Burrill,Dani Ben-Zvi
Topics and Trends in Current Statistics Education Research Book PDF

Author : Gail Burrill,Dani Ben-Zvi
Publisher : Springer
Page : 422 pages
File Size : 51,5 Mb
Release : 2018-12-29
Category : Education
ISBN : 9783030034726

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Topics and Trends in Current Statistics Education Research by Gail Burrill,Dani Ben-Zvi Pdf

This book focuses on international research in statistics education, providing a solid understanding of the challenges in learning statistics. It presents the teaching and learning of statistics in various contexts, including designed settings for young children, students in formal schooling, tertiary level students, and teacher professional development. The book describes research on what to teach and platforms for delivering content (curriculum), strategies on how to teach for deep understanding, and includes several chapters on developing conceptual understanding (pedagogy and technology), teacher knowledge and beliefs, and the challenges teachers and students face when they solve statistical problems (reasoning and thinking). This new research in the field offers critical insights for college instructors, classroom teachers, curriculum designers, researchers in mathematics and statistics education as well as policy makers and newcomers to the field of statistics education. Statistics has become one of the key areas of study in the modern world of information and big data. The dramatic increase in demand for learning statistics in all disciplines is accompanied by tremendous growth in research in statistics education. Increasingly, countries are teaching more quantitative reasoning and statistics at lower and lower grade levels within mathematics, science and across many content areas. Research has revealed the many challenges in helping learners develop statistical literacy, reasoning, and thinking, and new curricula and technology tools show promise in facilitating the achievement of these desired outcomes.

Statistics in Early Childhood and Primary Education

Aisling Leavy,Maria Meletiou-Mavrotheris,Efi Paparistodemou
Statistics in Early Childhood and Primary Education Book PDF

Author : Aisling Leavy,Maria Meletiou-Mavrotheris,Efi Paparistodemou
Publisher : Springer
Page : 313 pages
File Size : 45,5 Mb
Release : 2018-07-23
Category : Education
ISBN : 9789811310447

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Statistics in Early Childhood and Primary Education by Aisling Leavy,Maria Meletiou-Mavrotheris,Efi Paparistodemou Pdf

This compilation focuses on the theory and conceptualisation of statistics and probability in the early years and the development of young children’s (ages 3-10) understanding of data and chance. It provides a comprehensive overview of cutting-edge international research on the development of young learners’ reasoning about data and chance in formal, informal, and non-formal educational contexts. The authors share insights into young children’s statistical and probabilistic reasoning and provide early childhood educators and researchers with a wealth of illustrative examples, suggestions, and practical strategies on how to address the challenges arising from the introduction of statistical and probabilistic concepts in pre-school and school curricula. This collection will inform practices in research and teaching by providing a detailed account of current best practices, challenges, and issues, and of future trends and directions in early statistical and probabilistic learning worldwide. Further, it will contribute to future research and theory building by addressing theoretical, epistemological, and methodological considerations regarding the design of probability and statistics learning environments for young children.

Regression Modeling Strategies

Frank E. Harrell
Regression Modeling Strategies Book PDF

Author : Frank E. Harrell
Publisher : Springer Science & Business Media
Page : 583 pages
File Size : 42,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475734621

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Regression Modeling Strategies by Frank E. Harrell Pdf

Many texts are excellent sources of knowledge about individual statistical tools, but the art of data analysis is about choosing and using multiple tools. Instead of presenting isolated techniques, this text emphasizes problem solving strategies that address the many issues arising when developing multivariable models using real data and not standard textbook examples. It includes imputation methods for dealing with missing data effectively, methods for dealing with nonlinear relationships and for making the estimation of transformations a formal part of the modeling process, methods for dealing with "too many variables to analyze and not enough observations," and powerful model validation techniques based on the bootstrap. This text realistically deals with model uncertainty and its effects on inference to achieve "safe data mining".

Introduction to Statistical Thinking

Benjamin Yakir
Introduction to Statistical Thinking Book PDF

Author : Benjamin Yakir
Publisher : Unknown
Page : 324 pages
File Size : 48,8 Mb
Release : 2014-09-19
Category : Electronic
ISBN : 1502424665

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Introduction to Statistical Thinking by Benjamin Yakir Pdf

Introduction to Statistical ThinkingBy Benjamin Yakir

Investigating Mathematics Teaching

Barbara Jaworski
Investigating Mathematics Teaching Book PDF

Author : Barbara Jaworski
Publisher : Routledge
Page : 254 pages
File Size : 51,5 Mb
Release : 2002-11-01
Category : Education
ISBN : 9781135716110

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Investigating Mathematics Teaching by Barbara Jaworski Pdf

Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.