Assessing schematic knowledge of introductory probability theory

Birney, Damian P. and Fogarty, Gerard J. and Plank, Ashley (2005) Assessing schematic knowledge of introductory probability theory. Instructional Science, 33 (4). pp. 341-366. ISSN 1573-1952

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[Abstract]: The ability to identify schematic knowledge is an important goal for both assessment
and instruction. In the current paper, schematic knowledge of statistical probability theory is
explored from the declarative-procedural framework using multiple methods of assessment.
A sample of 90 undergraduate introductory statistics students was required to classify 10
pairs of probability problems as similar or different; to identify whether 15 problems
contained sufficient, irrelevant, or missing information (text-edit); and to solve 10 additional
problems. The complexity of the schema on which the problems were based was also
manipulated. Detailed analyses compared text-editing and solution accuracy as a function of
text-editing category and schema complexity. Results showed that text-editing tends to be
easier than solution and differentially sensitive to schema complexity. While text-editing and
classification were correlated with solution, only text-editing problems with missing
information uniquely predicted success. In light of previous research these results suggest
that text-editing is suitable for supplementing the assessment of schematic knowledge in

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Reproduced in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Psychology (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Psychology (Up to 30 Jun 2013)
Date Deposited: 11 Oct 2007 00:25
Last Modified: 02 Jul 2013 22:33
Uncontrolled Keywords: assessing schematic knowledge, text-editing, statistical probability theory
Fields of Research (2008): 01 Mathematical Sciences > 0104 Statistics > 010404 Probability Theory
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4905 Statistics > 490506 Probability theory
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