In this article, we review research that has examined the association between race, ethnicity, culture, and student motivation. We begin by describing potential problems regarding how race, ethnicity, and culture are defined in research. Next, we review some of the methods that have been used to examine the associations among race, ethnicity,…

These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.

There has been considerable recent interest in methods of determining sample size for qualitative research a priori, rather than through an adaptive approach such as saturation. Extending previous literature in this area, we identify four distinct approaches to determining sample size in this way: rules of thumb, conceptual models, numerical…

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Common factors, common multiples, strip diagrams, and double number lines are discussed in this, the third installment in the series. [For the second installment in this series see "Connecting the Dots: Building…

Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…

The purpose of this research is to evaluate the type and accuracy of the visual representations that the pre-service teachers generate in the pedagogical solution of the word problems. The data on participants' spatial competence levels were obtained through Purdue Spatial Visualization Test and the data on the type of visual representations were…

Verification and validation are essential aspects of mathematics and beyond in STEM, but these constructs are not consistently defined in research nor in curricula documents. In this theoretical paper, we argue that verification and validation are largely characterized as binary judgments by teachers and researchers about what students do. We then…

The new method of teaching the problems with a parameter was designed based on the identification of the reasons for the low success rate of the kids in solving the problems. In order to identify these causes and to find ways of their elimination, pedagogical research was carried out in two phases at selected universities of Slovakia (126…

The present work combats the problem of violence and aggressive behaviour through mentoring. The theoretical point of view certified studies that highlight various aspects of the problem of violent and aggressive behaviour remediation of preadolescents and adolescents. At present there are no publications that completely synthesize the…

In this paper, it was tried to consider the current state of normative support for the development of strategic planning documents in the field of Russian education. The strategy for the development of education (DoE), as an industry document of strategic planning, has not been adopted in the Russian Federation (RF) to date. The article attempts…

The Chinese Radical Assembly Game (CRAG) is an online platform that assesses the lexical competence. In which, individuals select different Chinese radicals to combine them and form a legitimate character. This concept is similar to that of creative synthesis. Therefore, this study aimed to examine whether the CRAG response process involves…

This study aimed to investigate the effects of gender pairings on collaborative problem-solving performance, processes, and attitudes in a social learning context. Three types of pairings (i.e., male-male, female-female, and mixed pairings) were considered in an empirical study with 222 tenth-grade students. The selection of three different…

The development of the information society is giving rise to new challenges to and new requirements for education. The challenges, most importantly, include various structural and institutional changes, which are setting new goals and objectives before the Russian education system, the most significant of these being the creation of a single,…

Over the past decade, the students of North Carolina Agricultural & Technical State University in Greensboro, North Carolina, the largest historically Black public university in the country, were forced into the spotlight of a national fight over voting rights that has been profoundly reshaping our democracy. During the 2018 midterm elections,…

The mathematics performance of students identified with emotional and behavioral disorders (EBD) is poor. Students identified with EBD require individualized instruction aligned with their unique academic and behavioral needs. One way that teachers can efficiently identify core mathematics deficits and provide individualized instruction is through…