The importance of mathematical problem solving (MPS) has been widely recognized. While there has been significant progress in developing and studying interventions to support teaching and learning MPS for students with disabilities, the research on how to accurately and effectively assess the impact of those interventions has lagged, leaving a gap…

Determining the most appropriate method of scoring an assessment is based on multiple factors, including the intended use of results, the assessment's purpose, and time constraints. Both the dichotomous and partial credit models have their advantages, yet direct comparisons of assessment outcomes from each method are not typical with constructed…

Arithmetic fluency is regarded as a foundational math skill, typically measured as a single construct with pencil-and-paper-based timed assessments. We introduce a tablet-based assessment of single-digit fluency that captures individual trial response times across several embedded experimental contrasts of interest. A large (n = 824) cohort of…

Purpose -- This article comprehensively examines the existing body of literature about the assessment tools employed for evaluating higher-order thinking skills (HOTS) in mathematics within the last five years. The study endeavors to offer a comprehensive overview of measuring instruments for HOTS in mathematics, utilizing precise and up-to-date…

With the deepening of educational reform, classroom teaching constantly emphasizes the importance of context, and the simulated situational teaching method is gradually applied in the instructional design of activities. As an important part of the education and teaching process, evaluation which is the process of determining the changes in…

This study has three aims: (1) test the effectiveness of using an ebook based on the Collegiate Learning Assessment (CLA) Task to empower critical explanatory ability; (2) examine the influence of problem-solving style differences on critical explanatory ability; and (3) assess the interaction between the use of CLA Task-based Ebooks and…

In this paper, we present an agenda for the research directions we recommend in addressing the issues of realizing and evaluating communication in CPS instruments. We outline our ideas on potential ways to improve: (1) generalizability in Human-Human assessment tools and ecological validity in Human-Agent ones; (2) flexible and convenient use of…

Computation competence (CC) in simple addition and subtraction using non-counting (NC) strategies is an important learning objective in Grade 1 mathematics but many children, especially low achievers in mathematics, struggle to acquire these skills. To provide these students with the support they need, it is important to have valid and reliable…

Research Purpose and Contribution: The study aimed to construct an evaluation framework for assessing pupils' computational thinking (CT) during classroom learning problem solving. As a self-report evaluation scale for pupils, this evaluation framework further enriched the CT assessment instruments for pupils and provided a specialized instrument…

Problem solving is considered an essential ability for becoming an expert in physics, and individualized feedback on the structure of problem-solving processes is a key component to support students in developing this ability. Problem-solving processes consist of multiple elements whose order forms the sequential structure of these processes.…

Instructional strategies employing complex problem-solving examine how learners represent the problem space and argue for decisions. Unlike problems with few solutions (e.g., multiple choices), instructors struggle to evaluate solutions to ill-structured problems quickly and consistently across students. This prevents instructors to provide timely…

This dissertation comprises two articles. In the first article, I review and synthesize literature on how prospective teachers (PTs) might evaluate students' mathematical thinking as manifested in written work. After defining evaluation, I argue that evaluating students' thinking in productive ways is both necessary and desirable within the…

Comparative studies on paper and pencil--and computer-based tests principally focus on statistical analysis of students' performances. In educational assessment, comparing students' performance (in terms of right or wrong results) does not imply a comparison of problem-solving processes followed by students. In this paper, we present a theoretical…

In a recent article, Crider recommends ending a course with a memorable learning experience, called an epic finale, instead of a final exam. Here, we give the details of epic finales given in four mathematics courses: Discrete Mathematics, Information and Coding Theory, Real Analysis, and Complex Analysis. We describe how to reconfigure a course…

Background: Accreditation organizations broadened program assessment criteria in ways that present challenges for the evaluation of learning outcomes. This is especially the case in courses where there are not narrowly defined questions or definitive solutions, such as engineering ethics. While protocols for learning assessment exist, there is…