Psychometric characteristics of the conceptions of mathematics questionnaire.

Psychol Rep

Research Resource Centre, University of Transkei, Private Bag XI, Unitra, Umtata, South Africa, 5117.

Published: June 2001

AI Article Synopsis

  • The study evaluates the psychometric properties of a 19-item questionnaire on students' views of mathematics, involving 158 participants (86 women and 72 men).
  • The internal consistency reliability coefficient alpha was found to be .75, indicating a reliable measurement tool.
  • A principal components analysis revealed two key dimensions of mathematical understanding: fragmented conceptions (focused on rules and memorization) and cohesive conceptions (based on understanding complex systems and problem-solving).

Article Abstract

This study describes the psychometric characteristics of the 19-item Conceptions of Mathematics Questionnaire for a total of 158 students (86 women and 72 men). The coefficient alpha of internal consistency reliability was .75. Principal components analysis with varimax rotation indicated a two-component solution could be extracted. The two theoretically meaningful dimensions were fragmented conceptions (alpha = .80) and cohesive conceptions (alpha = .80). The former entails seeing mathematics as number rules and formulae to be used to solve problems. Students who hold this conception use rote learning and memorization. In contrast, the latter entails seeing mathematics as a complex logical system for solving complex problems. Students with such a conception approach learning to attain, develop, and apply knowledge.

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Source
http://dx.doi.org/10.2466/pr0.2001.88.3.825DOI Listing

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