In this study, the visual estimation skills of fourth grade elementary school students based on their mathematical thinking processes were investigated. The research questions focus on understanding how students' mathematical thinking processes influence their visual estimation skills. A total of 445 students participated in the study. The…

Background: In order for computational thinking (CT) to be successfully implemented in educational environments, teachers' CT teaching self-efficacy beliefs should be developed. The existing research on this topic is generally focused on training in-service teachers on CT to develop their self-efficacy. Conversely, the current study aims to…

Screening items for parameter drift helps protect against serious validity threats and ensure score comparability when equating forms. Although many high-stakes credentialing examinations operate with small sample sizes, few studies have investigated methods to detect drift in small sample equating. This study demonstrates that several newly…

Context: A perennial problem in applied statistics is the inability to justify strong claims about cause-and-effect relationships without full knowledge of the mechanism determining selection into treatment. Few research designs other than the well-implemented random assignment study meet this requirement. Researchers have proposed partial…

This article presents computational chemistry exercises that are designed to be incorporated into an undergraduate physical chemistry course. This activity teaches computational chemistry as it is performed in higher-level research (in a command-line environment and executed on a high-performance computing cluster) to provide students with a…

Theoretical and practical foundations of basic electrochemical concepts of heterogeneous charge transfer reactions that underline electrochemical processes are presented for their detailed study by undergraduate and postgraduate students. Several simple methods for calculating key variables, such as the half-wave potential, limiting current, and…

Mixed Membership Models (MMMs) are a popular family of latent structure models for complex multivariate data. Instead of forcing each subject to belong to a single cluster, MMMs incorporate a vector of subject-specific weights characterizing partial membership across clusters. With this flexibility come challenges in uniquely identifying,…

The objective of this research was to investigate the influence of both unplugged and plugged coding activities on the computational thinking skills of secondary school students. Using an experimental design with a pretest-posttest control group, the study indicated that students enhanced their computational thinking skills through engagement in…

The conceptual development of natural number in preschoolers is well-researched. However, less is known about the conceptual development of zero. Recent studies suggest that children develop an understanding of zero after learning to count. It remains unclear, when a conceptual understanding of "zero" as number word for an empty set…

Studies on children's understanding of counting examine when and how children acquire the cardinal principle: the idea that the last word in a counted set reflects the cardinal value of the set. Using Wynn's (1990) Give-N Task, researchers classify children who can count to generate large sets as having acquired the cardinal principle…

Integral to fostering computational thinking (CT) skills, which are increasingly essential in today's digital era, has been the shift of paper-based pictorial modeling activities to computational modeling. Research has indicated that modeling activities can advance students' understanding of a system's mechanism (i.e., systems thinking), such as…

Visuospatial representations of numbers and their relationships are widely used in mathematics education. These include drawn images, models constructed with concrete manipulatives, enactive/embodied forms, computer graphics, and more. This paper addresses the analytical limitations and ethical implications of methodologies that use broad…

When implemented appropriately, computational thinking (CT) experiences in early childhood settings build essential literacy skills and foster initial explorations of sequencing, engineering design principles, and cause-and-effect relationships. While existing research explores CT in K-12 settings, there is insufficient research documenting the…

Mediation models have been widely used in many disciplines to better understand the underlying processes between independent and dependent variables. Despite their popularity and importance, the appropriate sample sizes for estimating those models are not well known. Although several approaches (such as Monte Carlo methods) exist, applied…

There is a growing perception that computational thinking can be developed in unplugged environments. A recent trend among these unplugged approaches is the use of tabletop games. While there are many commercial tabletop games on the market that are promoted as teaching computer science and/or computational skills, little is known about how these…