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Nurgul Butuner; Jale Ipek – European Journal of Educational Sciences, 2023
This study used the RBC+C model to reveal the abstractions of the 6th-grade students in the process of transition to the parallelogram area formula. Also, constructing parallelogram area information was employed as a teaching experiment based on the basic interpretive approach, one of the qualitative research methods. The study participants…
Descriptors: Grade 6, Mathematical Concepts, Mathematical Formulas, Mathematics Activities
Falk, Carl F.; Cai, Li – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2015
We present a logistic function of a monotonic polynomial with a lower asymptote, allowing additional flexibility beyond the three-parameter logistic model. We develop a maximum marginal likelihood based approach to estimate the item parameters. The new item response model is demonstrated on math assessment data from a state, and a computationally…
Descriptors: Guessing (Tests), Item Response Theory, Mathematics Instruction, Mathematics Tests