The aim of this study was to show that some of the errors made by students when responding to mathematics assessment items can indicate progress in the development of conceptual understanding. By granting partial credit for specific incorrect responses by early secondary students, estimates of the difficulty of demonstrating full and partial…

Linear pattern is the primary material in learning number patterns in junior high schools, but there are still many students who fail to generalize the linear pattern. The students' failure in generalizing the pattern occurred when the students ended to view the problems globally without breaking them into the constructors' components such as the…

We describe the development and initial validity assessment of the 20-item BioCalculus Assessment (BCA), with the objective of comparing undergraduate life science students' understanding of calculus concepts in different courses with alternative emphases (with and without focus on biological applications). The development process of the BCA…

This study investigates whether word problems and mathematically expressed items can be used interchangeably regardless of their linguistic complexities. A sample of sixth grade students was given two forms of a mathematics assessment. The first form included mathematics items with mathematical terms, expressions, and equations whereas the second…

The purpose of this two-year observational study was to determine if the use of technology and intervention groups affected fourth-grade math scores. Specifically, the desire was to identify the percentage of students who met or exceeded grade-level standards on the state standardized test. This study indicated possible reasons that enhanced…

The purpose of this study is to apply the Rasch model to investigate both the Van Hiele theory for geometric development and an associated test. In terms of the test, the objective is to investigate the functioning of a classic 25-item instrument designed to identify levels of geometric proficiency. The dataset of responses by 244 students (106…

The understanding of children and adults regarding four component properties of the arithmetic mean was studied. The component properties were: (1) the mean is a data point between extreme values of a score distribution; (2) the sum of deviations about the mean equals zero; (3) when the mean is calculated, any value of zero must be taken into…