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Download full textFalk, 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
Peer reviewed
Direct linkJones, Dustin L. – International Journal of Mathematical Education in Science and Technology, 2011
This article was inspired by a set of 12 cylindrical cups, which are volumetrically indexed; that is to say, the volume of cup "n" is equal to "n" times the volume of cup 1. Various sets of volumetrically indexed cylindrical cups are explored. I demonstrate how this children's toy is ripe for mathematical investigation, with connections to…
Descriptors: Calculus, Mathematics Instruction, Investigations, Geometry
Xin, Yan Ping; Zhang, Dake – Journal of Educational Research, 2011
This article presents the authors' response to Asha K. Jitendra's Response to Xin and Zhang ("The Journal of Educational Research," 2009, Vol. 102, No. 6). The claim of "factual errors, including inappropriate quotes, misrepresentation of information, and inadequate scholarship in Xin and Zhang's text" are not justified. In this rejoinder, the…
Descriptors: Educational Research, Word Problems (Mathematics), Evaluation Methods, Teaching Methods
