The Teaching and Learning of Statistics: International Perspectives

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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).

Author(s): Dani Ben-Zvi, Katie Makar (eds.)
Edition: 1
Publisher: Springer
Year: 2016

Language: English
Pages: 334
Tags: Mathematics Education; Learning & Instruction

Front Matter....Pages i-viii
International Perspectives on the Teaching and Learning of Statistics....Pages 1-10
Front Matter....Pages 11-11
Young Students’ Mental Modelling of Statistical Situations....Pages 13-23
Children’s Wonder How to Wander Between Data and Context....Pages 25-36
Supporting Students to Develop Concepts Underlying Sampling and to Shuttle Between Contextual and Statistical Spheres....Pages 37-48
Front Matter....Pages 49-49
The Language of Shape....Pages 51-61
Development of an Understanding of a Sampling Distribution....Pages 63-70
Korean High School Students’ Understanding of the Concept of Correlation....Pages 71-81
Connections Between Statistical Thinking and Critical Thinking: A Case Study....Pages 83-94
Tasks Associated to the Treatment of Tables at Elementary School and Its Level of Difficulty....Pages 95-96
An Analysis of the Statistical Contents Covered In China, Singapore and Taiwan Mathematics Textbooks at the Primary Level....Pages 97-98
Mathematical Modelling for Critical Statistics Education....Pages 99-100
Survey and Research on the Levels of High School Students’ Critical Evaluation of Statistical Information and the Influence Factors....Pages 101-115
The Conceptual Understanding of Variability in the Data Distributions....Pages 117-118
Students’ Misconceptions and Mistakes Related to Measurement in Statistical Investigation and Graphical Representation of Data....Pages 119-120
Overall Understanding of the Middle School Mathematics Course in Teaching Statistics Main Line....Pages 121-122
Growth on Fourth-Grade Students’ Mathematical Understanding of Average....Pages 123-124
Exploring Dot Plot in the Perspective of Embodied Cognition....Pages 125-126
Front Matter....Pages 127-127
Students’ Difficulties in Understanding of Confidence Intervals....Pages 129-138
A Modeling and Simulation Approach to Informal Inference: Successes and Challenges....Pages 139-150
Students’ Understanding of Statistical Terms Having Lexical Ambiguity....Pages 151-161
Front Matter....Pages 127-127
Student Understanding of Symbols in Introductory Statistics Courses....Pages 163-174
Two-Year College Mathematics Instructors’ Conceptions of Variation....Pages 175-176
Students’ Sense-Making of Graphical Representation in a Basic Statistics Module....Pages 177-178
Front Matter....Pages 179-179
Bootstrapping Confidence Intervals....Pages 181-191
Undergraduate Students’ Conceptions of Variability in a Dynamic Computer-Based Environment....Pages 193-203
Transforming Statistics Education Through ICT Application....Pages 205-214
Selecting Technology to Promote Learning in an Online Introductory Statistics Course....Pages 215-225
The Role of Technology in Indian Statistics Education: A Review....Pages 227-233
Building Up the Box Plot as a Tool for Representing and Structuring Data Distributions: An Instructional Effort Using Tinkerplots and Evidence of Students’ Reasoning....Pages 235-245
Front Matter....Pages 247-247
Integrated Reasoning About Statistical Variation: Secondary Teachers’ Development of Foundational Understandings....Pages 249-259
Preservice Teachers’ Difficulties with Statistical Writing....Pages 261-270
Teachers’ Questions in the Statistics Class....Pages 271-278
Statistical Training of Pre-service Teachers with Application in School Practice....Pages 279-288
Statistics in Primary Education in Greece: How Ready Are Primary Teachers?....Pages 289-298
Developing Statistical Literacy (DSL): Student Learning and Teacher Education....Pages 299-300
Teacher Capacity as a Key Element of National Curriculum Reform in Statistical Thinking: A Comparative Study Between Australia and China....Pages 301-313
A Framework for Assessing Statistical Knowledge for Teaching Based on the Identification of Conceptions of Variability Held by Teachers....Pages 315-325
An Investigation into the Statistics Education of Preservice Mathematics Teachers in an Irish University....Pages 327-328
Back Matter....Pages 329-334