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Statistical Analysis When The Data Is An Image: Eliciting Student Thinking About Sampling And Variability., Margaret A. Hjalmarson, Tamara J. Moore, Robert Delmas
Statistical Analysis When The Data Is An Image: Eliciting Student Thinking About Sampling And Variability., Margaret A. Hjalmarson, Tamara J. Moore, Robert Delmas
School of Engineering Education Faculty Publications
Results of analysis of responses to a first-year undergraduate engineering activity are presented. Teams of students were asked to develop a procedure for quantifying the roughness of a surface at the nanoscale, which is typical of problems in Materials Engineering where qualities of a material need to be quantified. Thirty-five teams were selected from a large engineering course for analysis of their responses. The results indicate that engagement in the task naturally led teams to design a sampling plan, use or design measures of center and variability, and integrate those measures into a model to solve the stated problem. Team …
Statistical Analysis When The Data Is An Image: Eliciting Student Thinking About Sampling And Variability, Tamara J. Moore, Margret Hjalmarson, Robert Delmas
Statistical Analysis When The Data Is An Image: Eliciting Student Thinking About Sampling And Variability, Tamara J. Moore, Margret Hjalmarson, Robert Delmas
School of Engineering Education Faculty Publications
Within statistics education, there is a growing interest in understanding students' application of understanding about variability and sampling given the relative lack of research in either area (Shaughnessy, 2007). The task examined in this paper elicited students' knowledge of these concepts within a small-group problem solving task completed by teams of first-year engineering students. In the Nanoroughness task, teams of students designed a procedure for quantifying the roughness of a material surface using digital images generated by atomic force microscopy. The procedure required students to apply statistical methods in order to aggregate the data. The focus of this article is …