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, cilt.13, sa.6, ss.1279-1303, 2015 (SSCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s10763-014-9545-x
  • Dergi Adı: INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION
  • Derginin Tarandığı İndeksler: Social Sciences Citation Index (SSCI), Scopus
  • Sayfa Sayıları: ss.1279-1303
  • Anahtar Kelimeler: derivative, mathematical thinking, multiple-choice test, reliability, validity, MATHEMATICAL THINKING, COMPREHENSION, COGNITION, SUCCESS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.