THE THINKING-ABOUT-DERIVATIVE TEST FOR UNDERGRADUATE STUDENTS: DEVELOPMENT AND VALIDATION


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UBUZ B., UBUZ B.

INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION, vol.13, no.6, pp.1279-1303, 2015 (Journal Indexed in SSCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 6
  • Publication Date: 2015
  • Doi Number: 10.1007/s10763-014-9545-x
  • Title of Journal : INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION
  • Page Numbers: pp.1279-1303
  • Keywords: derivative, mathematical thinking, multiple-choice test, reliability, validity, MATHEMATICAL THINKING, COMPREHENSION, COGNITION, SUCCESS

Abstract

Two studies were conducted for the development and validation of a multidimensional test to assess undergraduate students' mathematical thinking about derivative. The first study involved two phases: question generation and refinement of the Thinking-about-Derivative Test (TDT). The second study included four phases as follows: test administration, generalizability analysis, confirmatory factor analysis, and subgroup validity analysis. Findings suggested that the 30-item multiple-choice TDT, which comprises 6 mathematical thinking aspects, enactive, iconic, algorithmic, algebraic, formal, and axiomatic thinking, demonstrates acceptable levels of reliability and validity. Followed by additional cross-validation studies, the TDT may be a useful tool for mathematics education researchers and mathematicians. Directions for future research and implications for educational practice are discussed.