Developing Students Statistical Reasoning

Author : Joan Garfield,Dani Ben-Zvi
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 43,5 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

Author : Dani Ben-Zvi,Joan Garfield
Publisher : Springer Science & Business Media
Page : 423 pages
File Size : 55,6 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.

Author : Bruce M. King,Patrick J. Rosopa,Edward W. Minium
Publisher : John Wiley & Sons
Page : 976 pages
File Size : 55,9 Mb
Release : 2018-04-24
Category : Psychology
ISBN : 9781119379737

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Statistical Reasoning in the Behavioral Sciences by Bruce M. King,Patrick J. Rosopa,Edward W. Minium Pdf

Cited by more than 300 scholars, Statistical Reasoning in the Behavioral Sciences continues to provide streamlined resources and easy-to-understand information on statistics in the behavioral sciences and related fields, including psychology, education, human resources management, and sociology. Students and professionals in the behavioral sciences will develop an understanding of statistical logic and procedures, the properties of statistical devices, and the importance of the assumptions underlying statistical tools. This revised and updated edition continues to follow the recommendations of the APA Task Force on Statistical Inference and greatly expands the information on testing hypotheses about single means. The Seventh Edition moves from a focus on the use of computers in statistics to a more precise look at statistical software. The “Point of Controversy” feature embedded throughout the text provides current discussions of exciting and hotly debated topics in the field. Readers will appreciate how the comprehensive graphs, tables, cartoons and photographs lend vibrancy to all of the material covered in the text.

Author : Josh Tabor,Chris Franklin
Publisher : Macmillan Higher Education
Page : 1573 pages
File Size : 43,9 Mb
Release : 2019-01-28
Category : Mathematics
ISBN : 9781319222215

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Statistical Reasoning in Sports by Josh Tabor,Chris Franklin Pdf

Did Cam Newton choke in the Super Bowl? Can a swimsuit make you faster? Who should I draft for my fantasy baseball team? Offering a unique and powerful way to introduce the principles of statistical reasoning, Statistical Reasoning in Sports 2e make statistics exciting with high interest sports (and life) examples that show how statistics is a part of everyday life. Statistical Reasoning in Sports 2e examines fascinating questions about sports and life by investigating the underlying statistical questions and creating a fun atmosphere in the classroom in which students analyze data, perform simulations, and draw conclusions to develop an understanding of statistics.

Author : M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung
Publisher : Springer Science & Business Media
Page : 1120 pages
File Size : 55,5 Mb
Release : 2012-11-15
Category : Mathematics
ISBN : 9781461446842

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Third International Handbook of Mathematics Education by M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung Pdf

The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

Author : Theodore Coladarci,Casey D. Cobb
Publisher : John Wiley & Sons
Page : 448 pages
File Size : 45,6 Mb
Release : 2013-12-31
Category : Education
ISBN : 9781118425213

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Fundamentals of Statistical Reasoning in Education by Theodore Coladarci,Casey D. Cobb Pdf

Fundamentals of Statistical Reasoning in Education, 4th Edition is a text specifically geared towards the education community. This text gives educators the statistical knowledge and skills necessary in everyday classroom teaching, in running schools, and in professional development pursuits. It emphasises conceptual development with an engaging style and clear exposition.

Author : Göran Kauermann,Helmut Küchenhoff,Christian Heumann
Publisher : Springer Nature
Page : 361 pages
File Size : 48,7 Mb
Release : 2021-09-30
Category : Mathematics
ISBN : 9783030698270

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Statistical Foundations, Reasoning and Inference by Göran Kauermann,Helmut Küchenhoff,Christian Heumann Pdf

This textbook provides a comprehensive introduction to statistical principles, concepts and methods that are essential in modern statistics and data science. The topics covered include likelihood-based inference, Bayesian statistics, regression, statistical tests and the quantification of uncertainty. Moreover, the book addresses statistical ideas that are useful in modern data analytics, including bootstrapping, modeling of multivariate distributions, missing data analysis, causality as well as principles of experimental design. The textbook includes sufficient material for a two-semester course and is intended for master’s students in data science, statistics and computer science with a rudimentary grasp of probability theory. It will also be useful for data science practitioners who want to strengthen their statistics skills.

Author : Gail Burrill,Dani Ben-Zvi
Publisher : Springer
Page : 0 pages
File Size : 51,9 Mb
Release : 2019-01-12
Category : Education
ISBN : 3030034712

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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.

Author : Alain Desrosières
Publisher : Harvard University Press
Page : 386 pages
File Size : 51,7 Mb
Release : 1998
Category : History
ISBN : 067400969X

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The Politics of Large Numbers by Alain Desrosières Pdf

Begins with study of history of statistics, and shows how the evolution of modern statistics has been inextricably bound up with the knowledge and power of governments.

Author : Dani Ben-Zvi,Katie Makar
Publisher : Springer
Page : 334 pages
File Size : 45,7 Mb
Release : 2015-12-24
Category : Education
ISBN : 9783319234700

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The Teaching and Learning of Statistics by Dani Ben-Zvi,Katie Makar Pdf

This book presents the breadth and diversity of empirical and practical work done on statistics education around the world. A wide range of methods are used to respond to the research questions that form it's base. Case studies of single students or teachers aimed at understanding reasoning processes, large-scale experimental studies attempting to generalize trends in the teaching and learning of statistics are both employed. Various epistemological stances are described and utilized. The teaching and learning of statistics is presented in multiple contexts in the book. These include designed settings for young children, students in formal schooling, tertiary level students, vocational schools, and teacher professional development. A diversity is evident also in the choices of what to teach (curriculum), when to teach (learning trajectory), how to teach (pedagogy), how to demonstrate evidence of learning (assessment) and what challenges teachers and students face when they solve statistical problems (reasoning and thinking).

Author : Jeffrey O. Bennett,William L. Briggs,Mario F. Triola
Publisher : Addison Wesley Longman
Page : 0 pages
File Size : 52,7 Mb
Release : 2003
Category : Statistics
ISBN : 0201771284

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Statistical Reasoning for Everyday Life by Jeffrey O. Bennett,William L. Briggs,Mario F. Triola Pdf

The goals of the book are to help students develop an understanding of statistics and develop their statistical reasoning skills. This text approaches statistics by presenting an overall picture, then providing an explanation of the topics in context. Students develop an understanding of statistics that is reinforced in the exercises, Web projects, and Focus On features.

Author : Carmen Batanero,Gail Burrill,Chris Reading
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 46,8 Mb
Release : 2011-07-31
Category : Education
ISBN : 940071131X

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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.

Author : Iddo Gal,Joan B. Garfield
Publisher : Unknown
Page : 300 pages
File Size : 46,7 Mb
Release : 1997
Category : Mathematics
ISBN : 4274901580

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The Assessment Challenge in Statistics Education by Iddo Gal,Joan B. Garfield Pdf

This book discusses conceptual and pragmatic issues in the assessment of statistical knowledge and reasoning skills among students at the college and precollege levels, and the use of assessments to improve instruction. It is designed primarily for academic audiences involved in teaching statistics and mathematics, and in teacher education and training. The book is divided in four sections: (I) Assessment goals and frameworks, (2) Assessing conceptual understanding of statistical ideas, (3) Innovative models for classroom assessments, and (4) Assessing understanding of probability.

Author : Randall Pruim
Publisher : American Mathematical Soc.
Page : 820 pages
File Size : 54,7 Mb
Release : 2018-04-04
Category : Mathematical statistics
ISBN : 9781470428488

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Foundations and Applications of Statistics by Randall Pruim Pdf

Foundations and Applications of Statistics simultaneously emphasizes both the foundational and the computational aspects of modern statistics. Engaging and accessible, this book is useful to undergraduate students with a wide range of backgrounds and career goals. The exposition immediately begins with statistics, presenting concepts and results from probability along the way. Hypothesis testing is introduced very early, and the motivation for several probability distributions comes from p-value computations. Pruim develops the students' practical statistical reasoning through explicit examples and through numerical and graphical summaries of data that allow intuitive inferences before introducing the formal machinery. The topics have been selected to reflect the current practice in statistics, where computation is an indispensible tool. In this vein, the statistical computing environment R is used throughout the text and is integral to the exposition. Attention is paid to developing students' mathematical and computational skills as well as their statistical reasoning. Linear models, such as regression and ANOVA, are treated with explicit reference to the underlying linear algebra, which is motivated geometrically. Foundations and Applications of Statistics discusses both the mathematical theory underlying statistics and practical applications that make it a powerful tool across disciplines. The book contains ample material for a two-semester course in undergraduate probability and statistics. A one-semester course based on the book will cover hypothesis testing and confidence intervals for the most common situations. In the second edition, the R code has been updated throughout to take advantage of new R packages and to illustrate better coding style. New sections have been added covering bootstrap methods, multinomial and multivariate normal distributions, the delta method, numerical methods for Bayesian inference, and nonlinear least squares. Also, the use of matrix algebra has been expanded, but remains optional, providing instructors with more options regarding the amount of linear algebra required.

Author : Rayens
Publisher : Unknown
Page : 128 pages
File Size : 46,5 Mb
Release : 2021-08-04
Category : Electronic
ISBN : 161740814X

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Beyond the Numbers: a Student-Centered Approach for Learning Statistical Reasoning by Rayens Pdf