This article describes a hands-on geometric tiling art activity used in two third-grade classes and four fifth-grade classes in a rural public elementary school with class sizes of around 20 students each. The lesson investigates concepts in geometry, number sense, and probability. Examples of student work and takeaways for other teachers…

Students expose various intuitions in probability comparison and calculation tasks. Large volumes of research looked into these intuitions by categorizing learners' strategies, but fewer studies considered how these intuitions may be associated with learners' judgments. Even fewer examined the mixed effects of multiple intuitions held by the same…

The current study explores the preferences of primary school teachers on the characteristics of Information and Communication Technologies (ICT)-based teaching via Discrete Choice Models (DCM). These models analyze the preferences of teachers towards alternatives that are formed by different characteristics. In this study we examined the…

Mathematics achievement of Indonesian students has not been relatively optimal whereby most of the students still have low mathematics achievement. Hence, the present study develops and produces a digital game called Ucing Sumput that is valid, practical, and effective in enhancing the mathematics achievement of Indonesian students. Research and…

Student absenteeism in the earliest years of elementary school has been linked to a range of negative outcomes. Though the literature has examined numerous factors that are associated with children missing school, the role of teachers--especially at the early elementary level--has not been well understood. Given that students spend the majority of…

The aim of the present study is to identify frequency and psychosocial factors associated with being exposed to traditional bullying and cyberbullying victimization among junior high-school students in Norway. Additionally, the aim was to explore the specific types of bullying and cyberbullying victimization adolescents' experience. This…

Proponents of academic selection argue that academic selection helps children from disadvantaged backgrounds have better lifelong outcomes. However, the evidence needs to be clarified since selections by performance could be a proxy for selection by socioeconomic class. Based on the unique situation in England, where both selective and…

Pearson's product-moment correlation can be explained by means of the probability of concordant pairs of observations on two continuous variables (ie, the order of the observations from two randomly selected individuals is the same between the two variables). The probability of concordant pairs features relatively easy computation and offers an…

It is well known that two events A and B are independent if and only if . Here, we derive a condition for independence not well known. We then extend the condition for independence of n events.

Longitudinal data structures are frequently encountered in a variety of disciplines in the social and behavioral sciences. Growth curve modeling offers a highly extensible framework that allows for the exploration of rich hypotheses. However, owing to the presence of interrelated sources of potential data-model misfit at multiple levels, the…

Although educational research and evaluation generally occur in multilevel settings, many analyses ignore cluster effects. Neglecting the nature of data from educational settings, especially in non-randomized experiments, can result in biased estimates with long-term consequences. Our manuscript improves the availability and understanding of…

This article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing…

It is increasingly recognised that to be informed citizens and to participate fully in the workforce requires an understanding of statistical data and risk. Such understanding is underpinned by statistical reasoning. It has been shown, however, that students have difficulty moving from concrete representations and procedural mathematical…

Testing programs are confronted with the decision of whether to report individual scores for examinees that have engaged in rapid guessing (RG). As noted by the "Standards for Educational and Psychological Testing," this decision should be based on a documented criterion that determines score exclusion. To this end, a number of heuristic…

This study aimed to determine the influence of critical thinking skills on misconceptions using a five-tier instrument in mixed-method research. The sampling technique used is simple random sampling. The data collection instrument used a critical thinking skills questionnaire, a misconception test of electric field material, and interviews. Data…