Developing Students Statistical Reasoning

Author: Joan Garfield
Publisher: Springer Science & Business Media
ISBN: 1402083831
Size: 67.59 MB
Format: PDF, Kindle
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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

The Challenge Of Developing Statistical Literacy Reasoning And Thinking

Author: Dani Ben-Zvi
Publisher: Springer Science & Business Media
ISBN: 9781402022784
Size: 75.40 MB
Format: PDF, ePub
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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.

Statistical Reasoning For Everyday Life

Author: Jeffrey O. Bennett
Publisher: Addison Wesley Longman
ISBN: 9780201771282
Size: 75.78 MB
Format: PDF, ePub
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Aims to help students develop an understanding of statistics and develop their statistical reasoning skills. This text presents an overall picture, then provides 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.

Essential Statistics Regression And Econometrics

Author: Gary Smith
Publisher: Academic Press
ISBN: 0128034920
Size: 57.25 MB
Format: PDF, ePub, Mobi
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Essential Statistics, Regression, and Econometrics, Second Edition, is innovative in its focus on preparing students for regression/econometrics, and in its extended emphasis on statistical reasoning, real data, pitfalls in data analysis, and modeling issues. This book is uncommonly approachable and easy to use, with extensive word problems that emphasize intuition and understanding. Too many students mistakenly believe that statistics courses are too abstract, mathematical, and tedious to be useful or interesting. To demonstrate the power, elegance, and even beauty of statistical reasoning, this book provides hundreds of new and updated interesting and relevant examples, and discusses not only the uses but also the abuses of statistics. The examples are drawn from many areas to show that statistical reasoning is not an irrelevant abstraction, but an important part of everyday life. Includes hundreds of updated and new, real-world examples to engage students in the meaning and impact of statistics Focuses on essential information to enable students to develop their own statistical reasoning Ideal for one-quarter or one-semester courses taught in economics, business, finance, politics, sociology, and psychology departments, as well as in law and medical schools Accompanied by an ancillary website with an instructors solutions manual, student solutions manual and supplementing chapters

Foundations And Applications Of Statistics An Introduction Using R Second Edition

Author: Randall Pruim
Publisher: American Mathematical Soc.
ISBN: 1470428482
Size: 33.96 MB
Format: PDF, ePub
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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.

Fundamentals Of Statistical Reasoning In Education

Author: Theodore Coladarci
Publisher: John Wiley & Sons
ISBN: 0470574798
Size: 71.40 MB
Format: PDF, ePub, Mobi
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A statistics book specifically geared towards the education community. This book gives educators the statistical knowledge and skills necessary in everyday classroom teaching, in running schools, and in professional development pursuits. It emphasizes conceptual development with an engaging style and clear exposition.

The Teaching And Learning Of Statistics

Author: Dani Ben-Zvi
Publisher: Springer
ISBN: 3319234706
Size: 54.54 MB
Format: PDF, ePub, Docs
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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).

The Politics Of Large Numbers

Author: Alain Desrosières
Publisher: Harvard University Press
ISBN: 9780674009691
Size: 11.20 MB
Format: PDF, ePub, Mobi
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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.

Statistical Reasoning In The Behavioral Sciences

Author: Bruce M. King
Publisher: John Wiley and Sons
ISBN: 1118137485
Size: 28.22 MB
Format: PDF, Mobi
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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. The sixth edition includes new information about the use of computers in statistics and offers screenshots of IBM SPSS (formerly SPSS) menus, dialog boxes, and output in selected chapters without sacrificing any of the conceptual logic and the statistical formulas needed to facilitate understanding. The example problems have been updated to reflect more current topics (e.g., text messaging while driving, violence in the media). The latest research and new photos have been integrated throughout the text to make the material more accessible. With these changes, 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.

International Handbook Of Research In Statistics Education

Author: Dani Ben-Zvi
Publisher: Springer
ISBN: 3319661957
Size: 16.53 MB
Format: PDF, ePub, Docs
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This handbook connects the practice of statistics to the teaching and learning of the subject with contributions from experts in several disciplines. Chapters present current challenges and methods of statistics education in the changing world for statistics and mathematics educators. Issues addressed include current and future challenges in professional development of teachers, use of technology tools, design of learning environments and appropriate student assessments. This handbook presents challenging and inspiring international research perspectives on the history and nature, current issues, and future directions of statistics education and statistics education research.