Software (SW) is one of the key technologies in modern society, and its importance is receiving the attention of the educational community. In addition, Computational Thinking (CT) has been studied in fields of various education such as computer science, science, mathematics, and technology. The prominence of computer science education has…

To explain children's difficulties learning fraction arithmetic, Braithwaite et al. (2017) proposed FARRA, a theory of fraction arithmetic implemented as a computational model. The present study tested predictions of the theory in a new domain, decimal arithmetic, and investigated children's use of conceptual knowledge in that domain. Sixth and…

High school science classrooms across the United States are answering calls to make computation a part of science learning. The problem is that there is little known about the barriers to learning that computation might bring to a science classroom or about how to help students overcome these challenges. This case study explores these challenges…

Computational thinking (CT) has been described as an essential skill that should be learned by everyone and can, therefore, be included in their skill set. Computational thinking uses essential principles in computer science for solving problems, understanding complex systems, and human behaviour. This way of thinking has significant consequences…

The paper shares the results of the process of forming a cross-disciplinary collaborative team and using a user-centered design framework to co-create a self-directed, self-paced, personalized, flexible learning environment as an alternative approach to preparing PK-8 preservice teachers to teach computational thinking. It is part of a larger…

The reaction rate and rate law are chemical kinetics concepts that undergraduate students have difficulty understanding and applying in real life. A further challenge is the overall reaction rate of consecutive reactions. Herein we present a creative teaching practice using the analogy-based approach to exploit the similarities between the…

This simulation study examines the characteristics of the Explanatory Item Response Model (EIRM) when estimating treatment effects when compared to classical test theory (CTT) sum and mean scores and item response theory (IRT)-based theta scores. Results show that the EIRM and IRT theta scores provide generally equivalent bias and false positive…

Reliable measurements are key to social science research. Multiple measures of reliability of the total score have been developed, including coefficient alpha, coefficient omega, the greatest lower bound reliability, and others. Among these, the coefficient alpha has been most widely used, and it is reported in nearly every study involving the…

The Best Student Award is one of the incentives initiated by an institution to identify potential students who are not only excellent academically, but also possess great leadership skills. Moreover, these skills may also be enhanced which subsequently contribute to the future of society. Nonetheless, one of the greatest challenges faced by…

A case study of regression analysis based on modeling Gilliland's correlation was described for use in a computational methods course. The case study uses a familiar example to train students in nonlinear least squares regression and to use standardized residual plots for model assessment. Previously published equations for Gilliland's correlation…

While Computational thinking (CT) has been adopted in various educational settings, it has not been fully utilized in entrepreneurship education. In particular, technology entrepreneurship education involves project-based learning for creating business value. To help students improve learning outcomes, we propose a new framework of…

We propose a divisibility criterion for elements of a generic Unique Factorization Domain. As a consequence, we obtain a general divisibility criterion for polynomials over Unique Factorization Domains. The arguments can be used in basic algebra courses and are suitable for building classroom/homework activities for college and high school…

Recently a teacher friend enquired about the S-I-R equations for disease spread, and what follows was stimulated by that exchange. COVID-19 provides an opportunity to put mathematical flesh on verbal bones such as "self-isolation", "lockdown", "herd immunity", "flattening the curve", "closed…

Counting is fundamental to early mathematics. Most studies of teaching counting focus on teachers observing children count. The present study compares mathematical ideas that 12 PK, transitional kindergarten (TK), and kindergarten teachers noticed from observing their own students count during a classroom session of Counting Collections with ideas…

Four operations algorithm is among the major topics occupying a significant position in primary school schedule. Moreover, utilizing alternative strategies during the education process and improving operation flexibility of students also considered important in teaching of mathematics. Flexibility in computing is the ability of solving any…