The research presented in this article is a systematic review of the literature on the assessment of mathematical modeling in the setting of mathematics education published in the previous five years. This research has compiled the current best information from around the world to offer an overview of the assessment of mathematical modeling for…

A previous study of pre-equating the Scholastic Aptitude Test (SAT) using item response theory provided unacceptable equating results for SAT-mathematical data. The purpose of this study was to investigate two possible explanations for these unacceptable pre-equating results. Specifically, the calibration process, which made use of the…

A procedure is presented for examining the influence of instruction on responses to test items by extending item response theory to incorporate variables illustrating different amounts of opportunity to learn. Data from the Second International Mathematics Study (grade 8 scores for about 7,000 students) illustrate the discussion. (SLD)

Education researchers have long been concerned with finding the appropriate method for correlational analysis of hierarchical data. In recent years, the alternative of hierarchical linear modeling (HLM) has come into extensive use. HLM users typically center some or all student-level predictors either at the grand mean or at the school means. This…

This paper demonstrates the relationship between the concept of unidimensionality and direction of an item in a multidimensional space. The basic premise is that if items that measure in the same direction are combined to form a test, that test will meet the item response theory requirements of unidimensionality. This will be true even if the…

This paper discussed methods currently under study for use with multiple-response data. Besides using Bonferroni inequality methods to control type one error rate over a set of inferences involving multiple response data, a recently proposed methodology of plotting the p-values resulting from multiple significance tests was explored. Proficiency…

Having low literacy skills could impact everything from reading a newspaper and balancing a checkbook to wise consumer decisions and job advancement. This study estimates adult literacy measures for Cuyahoga County, Ohio and its municipalities. It is also important to have a sense of how many children are at risk for developing literacy problems…