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Developing Students’ Statistical Reasoning

Connecting Research and Teaching Practice

  • Summarizes an enormous number of research studies and highlights the important statistical concepts for teachers to emphasize, as well as reveal the interrelationships among concepts
  • Makes direct connections between the research results and practical suggestions for teachers by providing detailed sequences of activities to move from informal to formal reasoning about important statistical concepts
  • Provides a wealth of examples, activities, ideas, and references to useful resources on every aspect of teaching statistics
  • Makes specific suggestions regarding how to plan and use classroom activities, integrate technological tools, and assess students’ learning in meaningful ways
  • Incorporates many uses of instructional software and Web tools and resources
  • Offers an accompanying Website with materials to supplement each chapter

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XII
  2. The Foundations of Statistics Education

    1. Front Matter

      Pages 1-1
    2. The Discipline of Statistics Education

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 3-19
    3. Research on Teaching and Learning Statistics

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 21-43
    4. Creating a Statistical Reasoning Learning Environment

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 45-63
    5. Assessment in Statistics Education

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 65-89
    6. Using Technology to Improve Student Learning of Statistics

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 91-114
  3. From Research to Practice: Developing the~Big Ideas of Statistics

    1. Front Matter

      Pages 115-122
    2. Learning to Reason About Data

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 123-142
    3. Learning to Reason About Statistical Models and Modeling

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 143-163
    4. Learning to Reason About Distribution

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 165-186
    5. Learning to Reason About Center

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 187-200
    6. Learning to Reason About Variability

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 201-214
    7. Learning to Reason About Comparing Groups

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 215-234
    8. Learning to Reason About Samples and Sampling Distributions

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 235-259
    9. Learning to Reason About Statistical Inference

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 261-288
    10. Learning to Reason About Covariation

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 289-308
  4. Implementing Change Through Collaboration

    1. Front Matter

      Pages 309-312
    2. Collaboration in the Statistics Classroom

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 313-324
    3. Collaboration in Teaching and Research

      • Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler
      Pages 325-341

About this book

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 theliterature should be tremendously helpful for those involved in teaching and researching introductory courses.

Randall E. Groth, Assistant Professor of Mathematics Education, Salisbury University, USA

Reviews

From the reviews:

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?"

Professor J. Michael Shaughnessy, Department 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.

Dr Randall E. Groth, Mathematics Education, Salisbury University, USA

"Garfield and Ben-Zvi have taken on an enormous task in their book, Developing Students’ Statistical Reasoning. … The book contains an extended reference list that will be of great assistance to those who not only want to implement change in their teaching but also want to carry out research on that change with a view to reporting to the wider statistical educational community. … the authors have met their goal of providing a new way of thinking about teaching and learning introductory formal statistics courses." (Jane Watson, The International Journal on Mathematics Education, Vol. 41, 2009)

"The main goal of the book … is to reconciliate the research results with practical suggestions for teachers. … Teachers of introductory statistics courses at the high school or college levelwill find in this book ideas, activities, research summaries directly applicable in classrooms. … Unquestionably, the book will be … a worthy resource filling in the gap between the researchers and the practitioners in the fast expanding field of statistics education." (Mihai Cipu, Zentralblatt MATH, Vol. 1156, 2009)

Authors and Affiliations

  • Dept. of Educational Psychology 178 Educational Sciences, University of Minnesota, Minneapolis, USA

    Joan B. Garfield

  • University of Haifa Faculty of Education, Mount Carmel, Israel

    Dani Ben-Zvi

  • California Polytechnic State University, San Luis Obispo, USA

    Beth Chance, Elsa Medina

  • Michigan State University, USA

    Cary Roseth

  • University of Minnesota, USA

    Andrew Zieffler

Bibliographic Information

  • Book Title: Developing Students’ Statistical Reasoning

  • Book Subtitle: Connecting Research and Teaching Practice

  • Authors: Joan B. Garfield, Dani Ben-Zvi, Beth Chance, Elsa Medina, Cary Roseth, Andrew Zieffler

  • DOI: https://doi.org/10.1007/978-1-4020-8383-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Humanities, Social Sciences and Law, Education (R0)

  • Copyright Information: Springer Science+Business Media B.V. 2008

  • Hardcover ISBN: 978-1-4020-8382-2Published: 23 September 2008

  • Softcover ISBN: 978-90-481-7862-9Published: 06 November 2010

  • eBook ISBN: 978-1-4020-8383-9Published: 08 September 2008

  • Edition Number: 1

  • Number of Pages: XII, 408

  • Topics: Learning & Instruction, Mathematics Education, Cognitive Psychology, Statistics, general, Higher Education

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access