The Challenge of Developing Statistical Literacy, Reasoning and Thinking

Dani Ben-Zvi , Joan Garfield (Eds)

Springer| 2004 | 423 páginas | PDF | 4 MB

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Research in statistics education is an emerging field, with much of the work being published in diverse journals across many disciplines. Locating and synthesizing this research is often a challenging task, as is connecting the research literature to practical issues of teaching and assessing students. This book is 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. Unlike other books on how to teach statistics, or educational materials to help students learn statistics, this book presents the research foundation on which teaching should be based. The chapters in this volume are written by the today's leading researchers in statistics education.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.

Contents
List of Authors
Foreword
Preface
PART I: INTRODUCTION TO STATISTICAL LITERACY, REASONING, AND THINKING
1. Statistical Literacy, Reasoning, and Thinking: Goals, Definitions, and Challenges
2. Towards an Understanding of Statistical Thinking
3. Statistical Literacy: Meanings, Components, Responsibilities
4. A Comparison of Mathematical and Statistical Reasoning
5. Models of Development in Statistical Reasoning
PART II: STUDIES OF STATISTICAL REASONING
6. Reasoning about Data Analysis
7. Learning to Reason about Distribution
8. Conceptualizing an Average as a Stable Feature of a Noisy Process
9. Reasoning about Variation
10. Reasoning about Covariation
11. Students’ Reasoning about the Normal Distribution
12. Developing Reasoning about Samples
13. Reasoning about Sampling Distributions
PART III: INSTRUCTIONAL, CURRICULAR AND RESEARCH ISSUES
14. Primary Teachers’ Statistical Reasoning about Data
15. Secondary Teachers’ Statistical Reasoning in Comparing Two Groups
16. Principles of Instructional Design for Supporting the Development of Students’ Statistical Reasoning
17. Research on Statistical Literacy, Reasoning, and Thinking: Issues, Challenges, and Implications
Author Index
Subject Index