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ERIC Number: EJ803645
Record Type: Journal
Publication Date: 2005
Pages: 16
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0732-3123
An Investigation of Statistical Thinking in Two Different Contexts: Detecting a Signal in a Noisy Process and Determining a Typical Value
Groth, Randall E.
Journal of Mathematical Behavior, v24 n2 p109-124 2005
The study describes students' patterns of thinking for statistical problems set in two different contexts. Fifteen students representing a wide range of experiences with high school mathematics participated in problem-solving clinical interview sessions. At one point during the interviews, each solved a problem that involved determining the typical value within a set of incomes. At another point, they solved a problem set in a signal-versus-noise context [Konold, C., & Pollatsek, A. (2002). "Data analysis as the search for signals in noisy processes." "Journal for Research in Mathematics Education," 33, 259-289]. Several patterns of thinking emerged in the responses to each task. In responding to the two tasks, some students attempted to incorporate formal measures, while others used informal estimating strategies. The different types of thinking employed in using formal measures and informal estimates are described. The types of thinking exhibited in the signal-versus-noise context are then compared against those in the typical value context. Students displayed varying amounts of attention to both data and context in formulating responses to both problems. Suggestions for teachers in regard to helping students attend to both data and context when analyzing statistical data are given. (Contains 1 figure and 3 tables.)
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: High Schools
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A