developing students statistical reasoning

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Developing Students Statistical Reasoning

Author : Joan Garfield
ISBN : 9781402083839
Genre : Education
File Size : 33. 45 MB
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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
ISBN : 1402022786
Genre : Mathematics
File Size : 87. 53 MB
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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.

Fundamentals Of Statistical Reasoning In Education

Author : Theodore Coladarci
ISBN : 9781118425213
Genre : Education
File Size : 21. 88 MB
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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.

Statistical Reasoning For Everyday Life

Author : Jeffrey O. Bennett
ISBN : 0201771284
Genre : Mathematics
File Size : 66. 2 MB
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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.

Statistical Reasoning In The Behavioral Sciences

Author : Bruce M. King
ISBN : 9781119379904
Genre : Psychology
File Size : 31. 72 MB
Format : PDF
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Over the past 49 years, Statistical Reasoning in the Behavioral Sciences has provided students and professionals in psychology, education, sociology, human resources management, and related fields with a comprehensive understanding of statistical logic and procedures. Now in its Seventh Edition, this revised and updated text offers streamlined coverage based on current research and practices to help students master statistical devices and their underlying assumptions. Statistical procedures are introduced first through a description of their essential logic, then demonstrated using raw data and hand calculations to reinforce central ideas; SPSS tutorials are then used to confirm results, allowing students to master this powerful software package while developing a solid understanding of each problem’s underlying mechanisms. Coverage of current issues highlights the field’s dynamic evolution, while conversational discussion relates statistics to experimental design and what happens when strict statistical theory merges with real-world data. Cited by researchers nearly 1,000 times over the years, this book presents essential statistical concepts in a user-friendly format that eases teaching and learning while facilitating long-term retention.

The Politics Of Large Numbers

Author : Alain Desrosières
ISBN : 067400969X
Genre : Mathematics
File Size : 79. 72 MB
Format : PDF
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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.

Foundations And Applications Of Statistics An Introduction Using R Second Edition

Author : Randall Pruim
ISBN : 9781470428488
Genre : Mathematical statistics
File Size : 30. 84 MB
Format : PDF
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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.

Critical Thinking

Author : Varda Liberman
ISBN : 0231187688
Genre : Business & Economics
File Size : 28. 94 MB
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Critical Thinking examines how we make judgments under uncertainty and how various biases can distort our consideration of evidence. Via everyday examples, Varda Liberman and Amos Tversky explore the insights of probability, causal relationships, and making inferences from samples with the goal of helping readers improve their intuitive reasoning.

Statistical Reasoning In Psychology And Education

Author : Gordon Bear
ISBN : 812651826X
Genre :
File Size : 61. 48 MB
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Market_Desc: · Students· Instructors About The Book: The book develops statistical concepts, understanding of statistical logic, properties regarding statistical devices, assumptions underlying statistical tools and considers what happens when statistical theory meets real-world problems. It emphasizes the statistics of measurement and the interplay of statistics with experimental design, giving full treatment to both inferential and descriptive statistics. New to this edition are realistic examples and numerous original problems with data sets. Special boxed sections introduce students to controversial, topical and current issues such as the bootstrap, meta-analysis.

The Teaching And Learning Of Statistics

Author : Dani Ben-Zvi
ISBN : 9783319234700
Genre : Education
File Size : 87. 3 MB
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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).

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