Cognitive diagnosis models (CDMs) are the assessment tools that provide valuable formative feedback about skill mastery at both the individual and population level. Recent work has explored the performance of CDMs with small sample sizes but has focused solely on the estimates of individual profiles. The current research focuses on obtaining…

In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for…

When the purpose and meaning of grades is not well-defined by an organization, there is a disconnect between curricular/assessment practices and student engagement. This study sought to investigate origins and find solutions in regards to discerning a student's knowledge and mastery of a subject and how this is reflected in the grade, and how…

The global shortage of skilled programmers remains a persistent challenge. High dropout rates in introductory programming courses pose a significant obstacle to graduation. Previous studies highlighted learning difficulties in programming students, but their specific weaknesses remained unclear. This gap exists due to the predominant focus on the…

This study developed a school-based AI curriculum suitable for senior high school students, with the primary objective of enhancing their mastery of knowledge and proficiency in AI, as well as their computational thinking abilities. The curriculum was designed with an awareness of the practical challenges encountered by the subject school in their…

The current study measures the extent to which students' self-regulated learning tactics and learning outcomes change as the result of a deliberate, data-driven improvement in the learning design of mastery-based online learning modules. In the original design, students were required to attempt the assessment once before being allowed to access…