This study examined whether the efficacy of a 50 lesson mathematics intervention program focused on whole number concepts for at-risk kindergarten students, ROOTS, differed by group size and whether initial skill moderated intervention effects by group size. The study utilized a randomized block design with at-risk students (n = 1,251) within…

This research was carried out to examine middle school students' perceptions of mathematics self-efficacy and their concerns about mathematics. In the research, the Mathematics Anxiety Scale was used to determine students' anxiety levels and the Self-Efficacy Scale was used to determine the level of self-efficacy perceptions. The sample of the…

Extensive literature in artificial intelligence in education focuses on developing automated methods for detecting cases in which students struggle to master content while working with educational software. Such cases have often been called "wheel-spinning," "unproductive persistence," or "unproductive struggle." We…

A typical mathematics assignment consists of one or two dozen practice problems relating to the same skill or concept, yet empirical evidence suggests that there is little or no long-term benefit from working more than a few problems of the same kind in immediate succession. Alternatively, randomized experiments in the laboratory and classroom…

We use number sense in our daily lives to make decisions about quantities. This number sense is connected to our mental number line, in which we draw on our understanding of physical number lines. We often use number lines in the elementary grades for counting and to represent mathematical operations, such as addition and subtraction. Such tasks…

Teachers have many communicative channels at their disposal, ranging from verbalized messages to multimedia presentations. One important, frequently used, but rarely considered channel is the use of movement. Although gesture in the classroom often occurs spontaneously and without forethought, the authors suggest that a bit of attention to the…

This article highlights how the Mathematics Teaching Practice of "facilitating meaningful mathematical discourse" (NCTM 2014, p. 10) was used to support a class of eighth-grade students as they engaged in recognizing patterns in which inputs are related to an output. As Carpenter, Franke, and Levi (2003) recommended, the authors chose…

The COVID-19 pandemic has produced a deluge of news coverage of quantitative concepts. In this viewpoint, we provide examples of effective and poor quantitative communication by the professional news media as well as social media communicators. Effective examples include a number of online animations and engaging interactive simulations. Examples…

We present an investigative activity that was set as part of a course of pre-service teachers of mathematics. The emphasis in the course was set on the importance of using the computerized technological tool for teaching the subject. The activity focused on investigating interesting geometrical conservation properties which are not known to the…

Students' previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding…

Mobile eye-tracking research has provided evidence both on teachers' visual attention in relation to their intentions and on teachers' student-centred gaze patterns. However, the importance of a teacher's eye-movements when giving instructions is unexplored. In this study we used mobile eye-tracking to investigate six teachers' gaze patterns when…

Building from the concept of verbing mathematics as a culturally consistent and enabling mathematics education practice for Mi'kmaw learners, the authors present an elementary multiplication lesson affectionately named "Sets of, Rows of, Jumps of". Through examination of this specific set of tasks emerging notions of structuring, play,…

This paper explores how in-service teachers enrolled in a graduate proof course interpret, understand, and use generic examples as part of their proving and justification activities. Generic examples, which are capable of proving and justifying with strong explanatory power, are particularly important for teachers considering teaching proof in…

Geometry is among the cornerstones of mathematics because of its applicability in real life and its connection to other areas of mathematics. The reported study explored how the volume of 3D geometric shapes was taught in one high school in Lesotho. One male teacher and an intact class of sixty high school students were the participants of the…

Adaptive educational games provide new opportunities to train early numerical skills. However, empirical evidence for the effectiveness of adaptive educational games is scarce. This study investigated the effectiveness of an adaptive game compared to a nonadaptive game in terms of cognitive, noncognitive and efficiency outcomes. In total, 84…