Browsing by Author "Ubuz, Behiye"

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Citation - Scopus: 5
Predicting Undergraduate Students' Mathematical Thinking About Derivative Concept: a Multilevel Analysis of Personal and Institutional Factors
(Elsevier BV, 2014) Ubuz, Behiye; Aydın, Utkun
This cross-sectional study examines the determinants of mathematical thinking aspects at two levels: within-classroom level and between-classroom level. We hypothesized that personal factors (gender, socioeconomic status (parents' educational attainment), current cumulative grade point average, prior mathematic achievement (high school mathematics achievement)) and institutional factors (faculty/school affiliation, grade level) have concomitant associations with students' mathematical thinking about the derivative. The sample consisted of 2424 undergraduates from 130 classrooms. Multilevel modeling showed that students' mathematical thinking about the derivative varied primarily as a function of their gender and cumulative grade point average (within-classroom level) and of their faculty affiliation (between-classroom level). Parents' educational attainment and high school mathematics achievement at the within-classroom level, and grade level at the between-classroom level were only moderately associated with different mathematical thinking aspects. Methodological and practical implications of the findings are further discussed. © 2014 Elsevier Inc.
Citation - WoS: 6
Citation - Scopus: 9
The Thinking-About Test for Undergraduate Students: Development and Validation
(2015) Ubuz, Behiye; Aydın, Utkun
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.