Investigating a Hierarchy of Students' Interpretations of Graphs


Authors: 
Kazuhiro Aoyama
Editors: 
Carmen Batanero
Volume: 
2 (3)
Pages: 
online
Year: 
2007
Publisher: 
International Electronic Journal of Mathematics Education
URL: 
http://www.iejme.com/032007/d10.pdf
Abstract: 

The ability to analyse qualitative information from quantitative information, and/or to create<br>new information from qualitative and quantitative information is the key task of statistical literacy in the<br>21st century. Although several studies have focussed on critical evaluation of statistical information, this<br>aspect of research has not been clearly conceptualised as yet. This paper presents a hierarchy of the<br>graphical interpretation component of statistical literacy. 175 participants from different educational levels<br>(junior high school to graduate students) responded to a questionnaire and some of them were also<br>interviewed. The SOLO Taxonomy was used for coding the students' responses and the Rasch model was<br>used to clarify the construction of the hierarchy. Five different levels of interpretations of graphs were<br>identified: Idiosyncratic, Basic graph reading, Rational/Literal, Critical, and Hypothesising and Modelling.<br>These results will provide guidelines for teaching statistical literacy.

The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education

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