Showing papers by "Maxine Pfannkuch published in 2006"

Comparing Box Plot Distributions: A Teacher's Reasoning.

Abstract: Drawing conclusions from the comparison of datasets using informal statistical inference is a challenging task since the nature and type of reasoning expected is not fully understood. In this paper a secondary teacher’s reasoning from the comparison of box plot distributions during the teaching of a Year 11 (15-year-old) class is analyzed. From the analysis a model incorporating ten distinguishable elements is established to describe her reasoning. The model highlights that reasoning in the sampling and referent elements is ill formed. The methods of instruction, and the difficulties and richness of verbalizing from the comparison of box plot distributions are discussed. Implications for research and educational practice are drawn.

Informal inferential reasoning

Abstract: Year 11 (15-year-old) students are not exposed to formal statistical inferential methods. Therefore, when drawing conclusions from data, their reasoning must be based mainly on looking at graph representations. This study investigates the type of reasoning that might develop students’ informal inferential statistical reasoning towards a more formal level. A perspectives model is developed for a teacher’s informal inferential reasoning from the comparison of boxplots. The model is then used to analyse her students’ responses to an assessment task. The resultant analysis produced a conjectured hierarchical model for students’ reasoning. The implications of the findings for instruction are discussed.