Addressing the participation rates in senior secondary mathematics courses in Australian schools remains a critically important issue. In this paper, the authors report on quantitative findings from a study in which all year 11 and year 12 (aged 17-18 years) Australian Tertiary Admissions Ranking (ATAR) students in Western Australia were invited…

The accurate assessment of analytical thinking in physics, particularly in magnetism, poses substantial challenges due to the limitations of conventional tools in measuring higher-order cognitive skills. This study aimed to validate an analytical skills test in physics, based on Bloom's Revised Taxonomy, with an emphasis on the dimensions of…

The National Assessment Governing Board has a legislatively mandated responsibility to develop National Assessment of Educational Progress (NAEP) achievement levels. The Board Policy Statement on Developing Student Achievement Levels for the National Assessment of Educational Progress provides policy definitions of "NAEP Basic,"…

The purpose of this study was to develop a mechanical critical thinking scale for high school students. A stratified random sampling method was used to establish the norms. After pre-tests and item analysis, the scale was determined to have five subtest sections (i.e., recognition of assumptions, induction, deduction, interpretation, and…

Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…

The purpose of the study was to measure students' reported test-taking effort and the relationship between reported effort and performance on the Trends in International Mathematics and Science Study (TIMSS) Advanced mathematics test. This was done in three countries participating in TIMSS Advanced 2008 (Sweden, Norway, and Slovenia), and the…

More than a dozen statistical models have been developed for the purpose of cognitive diagnosis. These models are supposed to extract a much finer level of information from item responses than traditional unidimensional item response models. In this paper, a general diagnostic model (GDM) was used to analyze a set of simulated sparse data and real…