Background: People report negative attitudes towards fractions and percentages relative to whole numbers (WNs, Sidney, Thompson, Fitzsimmons, & Taber, 2021), and these attitudes may relate to an individual's interpretation of what experiences with these number types signify. Because fractions are challenging, individual differences related to…

Domitrovich et al. (2017) linked social and emotional competence at a young age to adulthood success. Although research indicates a gap regarding how social and emotional skills can be taught in different content areas (Ananiadou & Claro, 2009; Binkley et al., 2011; Denham & Brown, 2010; Jones & Bouffard, 2012; Shear et al., 2011;…

Literacy, specifically reading mathematical text, is an essential component of developing deep mathematical understanding. Given the role that textbooks play in classroom instruction around the globe, it is useful to consider how features of curriculum design might influence classroom practice related to reading. Results from studies of a…

Earlier approaches to sense-making in mathematics have looked at the ways students comprehend a mathematical concept. Recent research suggests that some students make sense not only of mathematical objects that have a being, but also of objects that have yet to become. In such cases, learning mathematics is not just an act of comprehending a given…

Little is available in mathematics education research about what the teacher can anticipate from the students when applying inquiry-based learning (IBL). Even less is known about how to recognize and exploit on the spot when a mathematical domain, other than the one in focus, is activated in the students' minds. Yet, in tests, in everyday life,…

The cross diagram is a way to illustrate and plan the solutions for all kinds of constant-acceleration kinematics problems--including projectile motion, multistage, and multiple-object problems. The cross diagram arranges the kinematic variables in a logical way, making the kinematic relationships between them easy to identify. Combined with a…

To improve college students' achievement and success rate in the College Algebra course, a new program called Link2Success (L2S) was implemented in several sections of the course at the study's university. The program required students to increase their class time to six hours. Three of those hours were spent with certified tutors who helped…

As a research area, computational thinking (CT) has gotten increased attention in mathematics education in the last decade. A study identifying patterns in CT research would be essential in understanding the technique for developing CT in mathematics and guiding future research attempts. As a result, the goal of this systematic literature review…

Although there have been increased calls to prepare teachers with the pedagogical content knowledge to teach statistics, there are few stand-alone statistics courses for preservice teachers. Teachers across content areas need to be able to understand the data being produced about their students, their schools, and themselves. This article reports…

Compared with the application of Digital Twin (DT) in the industrial field, the application of DT in the field of education is still in its infancy. In this paper, a Digital Twin Campus (DTC) for teaching and learning is proposed. It is argued that DTC possesses two characteristics. First, DTC has a wide variety of employment orientations for…

Background: Research shows that gender differences tend to exist in student motivational-affective factors in core subjects such as math, science or reading, where one gender is stereotypically disadvantaged. Aims: This study aimed to investigate strategies that could reduce these gender differences by conducting a meta-analysis on school-based…

The author, Sirin Budak, discusses how to model the problem of a frog climbing out of a well using piecewise functions and GeoGebra.

In this paper, we explore the role of mathematical proof summaries as a tool for capturing students' reading comprehension of a given proof. We present an interview study based on mathematicians' pairwise evaluations of student-produced summaries of a proof demonstrating the uncountability of the open unit interval. We present a thematic analysis,…

In mathematics education, the research on proof by contradiction (PBC) often claims that this activity is more difficult for students than direct proof, or simply difficult in general. Many hypotheses have been offered to support or explain this belief, yet they span a disorientingly wide swath of journal articles, conference papers,…

A significant ongoing initiative is to identify the conditions under which financial education is most effective, as it has been shown to work much better in some circumstances than others. One factor to consider is mathematical capability, as it has been linked to improved financial knowledge and financial outcomes. In this paper, we investigated…