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Developing Students Statistical Reasoning

Developing Students    Statistical Reasoning Author Joan Garfield
ISBN-10 9781402083839
Release 2008-09-08
Pages 408
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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

The Challenge of Developing Statistical Literacy  Reasoning and Thinking Author Dani Ben-Zvi
ISBN-10 1402022786
Release 2006-02-23
Pages 423
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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 in the Behavioral Sciences

Statistical Reasoning in the Behavioral Sciences Author Bruce M. King
ISBN-10 9781119379904
Release 2018-05-14
Pages 488
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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 Teaching and Learning of Statistics

The Teaching and Learning of Statistics Author Dani Ben-Zvi
ISBN-10 9783319234700
Release 2015-12-24
Pages 334
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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).



Teaching Statistics in School Mathematics Challenges for Teaching and Teacher Education

Teaching Statistics in School Mathematics Challenges for Teaching and Teacher Education Author Carmen Batanero
ISBN-10 940071131X
Release 2011-07-31
Pages 425
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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.



International Handbook of Research in Statistics Education

International Handbook of Research in Statistics Education Author Dani Ben-Zvi
ISBN-10 9783319661957
Release 2017-12-08
Pages 512
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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.



The Basic Practice of Statistics

The Basic Practice of Statistics Author David S. Moore
ISBN-10 9781429224260
Release 2010
Pages 730
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The Basic Practice of Statistics has become a bestselling textbook by focusing on how statistics are gathered, analyzed, and applied to real problems and situations—and by confronting student anxieties about the course's relevance and difficulties head on. With David Moore's pioneering "data analysis" approach (emphasizing statistical thinking over computation), engaging narrative and case studies, current problems and exercises, and an accessible level of mathematics, there is no more effective textbook for showing students what working statisticians do and what accurate interpretations of data can reveal about the world we live in. In the new edition, you will once again see how everything fits together. As always, Moore's text offers balanced content, beginning with data analysis, then covering probability and inference in the context of statistics as a whole. It provides a wealth of opportunities for students to work with data from a wide range of disciplines and real-world settings, emphasizing the big ideas of statistics in the context of learning specific skills used by professional statisticians. Thoroughly updated throughout, the new edition offers new content, features, cases, data sources, and exercises, plus new media support for instructors and students—including the latest version of the widely-adopted StatsPortal. The full picture of the contemporary practice of statistics has never been so captivatingly presented to an uninitiated audience.



Statistical Reasoning in Sports

Statistical Reasoning in Sports Author Josh Tabor
ISBN-10 9781429274371
Release 2011-12-23
Pages 656
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Offering a unique and powerful way to introduce the principles of statistical reasoning, Statistical Reasoning in Sports features engaging examples and a student-friendly approach. Starting from the very first chapter, students are able to ask questions, collect and analyze data, and draw conclusions using randomization tests. Is it harder to shoot free throws with distractions? We explore this question by designing an experiment, collecting the data, and using a hands-on simulation to analyze results. Completely covering the Common Core Standards for Probability and Statistics, Statistical Reasoning in Sports is an accessible and fun way to learn about statistics!



Fundamentals of Statistical Reasoning in Education

Fundamentals of Statistical Reasoning in Education Author Theodore Coladarci
ISBN-10 9781118425213
Release 2013-12-31
Pages 448
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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.



Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 6 8

Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 6 8 Author Gary Kader
ISBN-10 087353672X
Release 2013
Pages 112
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How does working with data in statistics differ from working with numbers in mathematics? What is variability, and how can we describe and measure it? How can we display distributions of quantitative or categorical data? What is a data sample, and how can we choose one that will allow us to draw valid conclusions from data? How much do you know? and how much do you need to know? Helping your students develop a robust understanding of statistics requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about statistics. It is organised around four big ideas, supported by multiple smaller, interconnected ideas. Taking you beyond a simple introduction to statistics, the book will broaden and deepen your understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.



International Handbook of Research in Statistics Education

International Handbook of Research in Statistics Education Author Dani Ben-Zvi
ISBN-10 9783319661957
Release 2017-12-08
Pages 512
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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.



Empirical Research in Statistics Education

Empirical Research in Statistics Education Author Andreas Eichler
ISBN-10 9783319389684
Release 2016-06-18
Pages 37
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This ICME-13 Topical Survey provides a review of recent research into statistics education, with a focus on empirical research published in established educational journals and on the proceedings of important conferences on statistics education. It identifies and addresses six key research topics, namely: teachers’ knowledge; teachers’ role in statistics education; teacher preparation; students’ knowledge; students’ role in statistics education; and how students learn statistics with the help of technology. For each topic, the survey builds upon existing reviews, complementing them with the latest research.



Reasoning with Data

Reasoning with Data Author Jeffrey M. Stanton
ISBN-10 9781462530267
Release 2017
Pages 325
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Engaging and accessible, this book teaches readers how to use inferential statistical thinking to check their assumptions, assess evidence about their beliefs, and avoid overinterpreting results that may look more promising than they really are. It provides step-by-step guidance for using both classical (frequentist) and Bayesian approaches to inference. Statistical techniques covered side by side from both frequentist and Bayesian approaches include hypothesis testing, replication, analysis of variance, calculation of effect sizes, regression, time series analysis, and more. Students also get a complete introduction to the open-source R programming language and its key packages. Throughout the text, simple commands in R demonstrate essential data analysis skills using real-data examples. The companion website (www.guilford.com/stanton2-materials) provides annotated R code for the book's examples, in-class exercises, supplemental reading lists, and links to online videos, interactive materials, and other resources. Pedagogical Features: *Playful, conversational style and gradual approach; suitable for students without strong math backgrounds. *End-of-chapter exercises based on real data supplied in the free R package. *Technical explanation and equation/output boxes. *Appendices on how to install R and work with the sample datasets.



Elements of Statistical Reasoning

Elements of Statistical Reasoning Author Edward W. Minium
ISBN-10 0471192775
Release 1998-11-19
Pages 512
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This text stresses conceptual development and the logic of statistics for use in the Behavioral Sciences. It is designed for those who need to evaluate statistical findings. Coverage includes estimation procedures, independent samples t-test, Steven's scales of measurements, Pearson correlation coefficient. Updated to include Turkey's HSD test on factorial analysis of variance and Spearman's rho on assumption-free tests and all chapter have been edited to enhance clarity and flow, to simplify numbers in the worked problems, and to align all examples with the behavioral sciences.



Third International Handbook of Mathematics Education

Third International Handbook of Mathematics Education Author M.A. (Ken) Clements
ISBN-10 9781461446842
Release 2012-11-15
Pages 1120
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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.​



Statistics and Probability in High School

Statistics and Probability in High School Author Carmen Batanero
ISBN-10 9789463006248
Release 2016-07-27
Pages 224
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Statistics and probability are fascinating fields, tightly interwoven with the context of the problems which have to be modelled. The authors demonstrate how investigations and experiments provide promising teaching strategies to help high-school students acquire statistical and probabilistic literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.



Statistical reasoning for everyday life

Statistical reasoning for everyday life Author Jeffrey O. Bennett
ISBN-10 PSU:000047288744
Release 2001-02-22
Pages 529
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This book is intended for use in the statistical literacy course or an introductory statistics course that emphasizes concepts over computation. The goal is to give students a conceptual understanding of statistics and develop their statistical reasoning skills. This text approaches statistics by presenting an overall picture and then providing explanation of the topics in context. Students develop an understanding of statistics that is reinforced in the exercises and web projects, and by doing some computation.