Toward Understanding the Role of Technological Tools in Statistical Learning

This article begins with some context setting on new views of statistics and statistical education. These views are reflected, in particular, in the introduction of exploratory data analysis (EDA) into the statistics curriculum. Then, a detailed example of EDA learning activity in the middle school is introduced, which makes use of the power of the spreadsheet to mediate students' construction of meanings for statistical conceptions. Through this example, I endeavor to illustrate how an attempt at serious integration of computers in teaching and learning statistics brings about a cascade of changes in curriculum materials, classroom praxis, and students' ways of learning. A theoretical discussion follows that underpins the impact of technological tools on teaching and learning statistics by emphasizing how the computer lends itself to supporting cognitive and sociocultural processes. Subsequently, I present a sample of educational technologies, which represents the sorts of software that have typically been used in statistics instruction: statistical packages (tools), microworlds, tutorials, resources (including Internet resources), and teachers' metatools. Finally, certain implications and recommendations for the use of computers in the statistical educational milieu are suggested.

[1]  A. Vilches,et al.  Teaching of Statistics , 1940, Nature.

[2]  Rolf Biehler,et al.  Explorative Datenanalyse : eine Untersuchung aus der Perspektive einer deskriptiv-empirischen Wissenschaftstheorie , 1982 .

[3]  Alan Graham,et al.  Statistical investigations in the secondary school , 1987 .

[4]  M. Braga,et al.  Exploratory Data Analysis , 2018, Encyclopedia of Social Network Analysis and Mining. 2nd Ed..

[5]  Frances R. Curcio Developing Graph Comprehension: Elementary and Middle School Activities , 1989 .

[6]  J.L. Schmalzel,et al.  Data handling , 1991, IEEE Spectrum.

[7]  Lynn Arthur Steen,et al.  Heeding the call for change : suggestions for curricular action , 1992 .

[8]  Flavia Jolliffe,et al.  Teaching Statistical Concepts , 1992 .

[9]  W. Dörfler Computer Use and Views of the Mind , 1993 .

[10]  Rolf Biehler,et al.  Software Tools and Mathematics Education: The Case of Statistics , 1993 .

[11]  R. Pea Practices of distributed intelligence and designs for education , 1993 .

[12]  Clifford Konold Teaching Probability through Modeling Real Problems. , 1994 .

[13]  David Green,et al.  Data Handling , 1994 .

[14]  Clifford Konold,et al.  Confessions of a coin flipper and would-be instructor , 1995 .

[15]  Joan Garfield,et al.  How students learn statistics , 1995 .

[16]  B. Schwarz,et al.  New actions upon old objects: A new ontological perspective on functions , 1995 .

[17]  Stephen C. Ehrmann,et al.  Asking the Right Questions: What Does Research Tell Us About Technology and Higher Learning? , 1995 .

[18]  N. Balacheff,et al.  Computer-Based Learning Environments in Mathematics , 1996 .

[19]  Susanne P. Lajoie The use of technology for modeling performance standards in statistics , 1996, Role of Technology IASE Roundtable Conference.

[20]  D. S. Moore,et al.  Mathematics, statistics, and teaching , 1997 .

[21]  Rolf Biehler,et al.  Software for Learning and for Doing Statistics , 1997 .

[22]  Joan Garfield,et al.  The Assessment Challenge in Statistics Education , 1997 .

[23]  D. S. Moore,et al.  New Pedagogy and New Content: The Case of Statistics , 1997 .

[24]  Richard A. Chechile,et al.  OVERVIEW OF CONSTATS AND THE CONSTATS ASSESSMENT , 1998 .

[25]  David S. Moore,et al.  Statistics among the Liberal Arts , 1998 .

[26]  Dani Ben-Zvi,et al.  TOWARDS A CHARACTERIZATION AND UNDERSTANDING OF STUDENTS' LEARNING IN AN INTERACTIVE STATISTICS ENVIRONMENT , 1998 .

[27]  Dani Ben-Zvi,et al.  STATISTICAL THINKING IN A TECHNOLOGICAL ENVIRONMENT , 1998 .

[28]  Robert C. delMas,et al.  ASSESSING THE EFFECTS OF A COMPUTER MICROWORLD ON STATISTICAL REASONING , 1998 .

[29]  Beth Chance,et al.  A Model of Classroom Assessment in Action: Using Assessment to Improve Student Learning and Statistical Reasoning , 1999 .

[30]  Frances R. Curcio,et al.  Developing mathematical reasoning in grades K-12 , 1999 .

[31]  B. Schwarz,et al.  Prototypes: Brakes or Levers in Learning the Function Concept? The Role of Computer Tools , 1999 .

[32]  Baruch B. Schwarz,et al.  Reflective Processes in a Mathematics Classroom With a Rich Learning Environment , 1999 .

[33]  D. Katz,et al.  American Statistical Association , 2022, The SAGE Encyclopedia of Research Design.

[34]  lddo Gal Statistical Literacy: Conceptual and Instructional issues , 2000 .

[35]  Production and Transformation of Computer Artifacts Toward Construction of Meaning in Mathematics , 2001 .