Numerous international studies have reported the importance of the home numeracy environment in promoting early math skills in preschool children; however, there is a lack of research in the Cuban context. The present descriptive study investigated the relationship between counting skills of 100 4-year-old Cuban preschoolers and the influence of…

We examined how generalized and mathematics-specific language skills predicted the word-problem performance of students with mathematics difficulty. Participants were 325 third-grade students in the southwestern United States who performed at or below the 25th percentile on a word-problem measure. We assessed generalized language skills in word…

In this paper, we are interested in the learning outcomes from undergraduate students' digital experiences of conducting multiple pure and applied mathematics investigations supported by programming technology. Our case study encompasses a sequence of three project-based mathematics courses implemented for over 20 years at Brock University. We…

Computational thinking (CT) has been argued as an essential skill for all students, critical to surviving in the 21st-century era and navigating through a more digital world. Understanding the impact of variables such as gender and age on the development of problem-solving skills is essential for creating equal educational experiences. This…

This study examines developmental differences in the acquisition of computational thinking (CT) among students in Grades 3 to 5 (ages 8-11) engaged in educational robotics (ER) activities implemented through a peer tutoring (PT) framework. The sample comprised 78 students from a public school in Europe, with fifth-grade students serving as tutors…

Early literacy experiences, including reading and writing, serve as meaningful backdrops for teachers in early childhood contexts to support and embed both computational thinking and computer science into classroom instruction. This article shares how interactive in-class instruction that is embedded within rich literacy experiences and computer…

In this paper, we present data from two iterative teaching experiments involving students' constructions of four basic counting problems. The teaching experiments were designed to leverage the generalizing activities of relating and extending to provide students with opportunities to reflect on initial combinatorial activity when constructing…

In this work, we venture to show how careful use of a program for quantum chemical calculations (such as VASP) may enrich teaching in solid-state chemistry and how principles of thermodynamics contribute to a validation of phase diagrams and reaction pathways using the quasiternary system Li[subscript 2]O-Al[subscript 2]O[subscript…

Standard meta-analysis methods are vulnerable to bias from incomplete reporting of results (both publication and outcome reporting bias) and poor study quality. Several alternative methods have been proposed as being less vulnerable to such biases. To evaluate these claims independently we simulated study results under a broad range of conditions…

Meta-analyzing count data can be challenging when follow-up time varies across studies. Simply pooling aggregate data over time-periods would result in biased estimates, which may erroneously inform clinical decision-making. In this study, we exploit the convolution property of the Poisson distribution to develop a likelihood for observed…

Nonlinear mixed-effects models are models in which one or more coefficients of the growth model enter in a nonlinear manner, such as appearing in the exponent of the growth function. In their applications, the within-individual residuals are often assumed to be independent with constant variance across time, an assumption that implies that the…

Calculating the duration of a motion when the applied net force on the moving body changes with time is usually a challenging task. In most cases, the only example of the duration of a motion when the acceleration is not constant presented to introductory physics students worldwide is the example of harmonic motion. A discussion with respect to…

The article focuses on estimating effects in nonrandomized studies with two outcome measurement occasions and one predictor variable. Given such a design, the analysis approach can be to include the measurement at the previous time point as a predictor in the regression model (ANCOVA), or to predict the change-score of the outcome variable…

Missing observations are pervasive throughout empirical research, especially in the social sciences. Despite multiple approaches to dealing adequately with missing data, many scholars still fail to address this vital issue. In this article, we present a simple-to-use method for generating multiple imputations (MIs) using a Gaussian copula. The…

In this study we consider a classic paradox of infinity and its variations and suggest how the sources of misleading intuition can be analysed using the concept of uniform convergence of functions. We then examine how six mathematics honour students engage with a variation of the paradox. Despite their advanced mathematical training, the…