Background: Dot enumeration is the basic mathematics competency in young children and a significant indicator of later mathematics achievement. Aim: The present study focused on (1) how children's dot enumeration ability changed as they progressed from late kindergarten years (K3) to the second year of primary school in Hong Kong (P2), and (2) the…

Creativity plays an important role in mathematics, but it can be overlooked in undergraduate courses. This article describes three ways an existing first-year math seminar was modified to increase its focus on creativity: introducing readings and discussions related to creativity, drawing connections to creativity in other disciplines, and adding…

Currently, studies focusing on mathematics education pay more attention to the study of the lecturer's knowledge, aiming to understand this knowledge, its development, and how it is reflected in the practice of teaching. Following this line of research, the present study is based in the "Mathematics Teacher's Specialized Knowledge…

The article identifies three narratives about mathematics education. The first claims that mathematics is a wonderful subject, which provides a true foundation for human knowledge and progress. The second presents mathematics as a suspicious subject, which serves functions of oppression. The third highlights that mathematics has critical…

Researchers, who have studied the understanding of the density property in the set of decimal numbers, have shown that the student uses the property of the discrete of natural numbers to solve tasks related to density. So, a restructuring of concepts is necessary, that is, a conceptual change from "the discrete" to "the dense".…

Previous research has demonstrated a link between spatial and math skills. However, little research has examined this relation longitudinally. The present study examines the development of and reciprocal relations between spatial and math skills in elementary school students. We administered two spatial tasks and a math task to 312 first- through…

For Freudenthal, the practice of mathematics in the curriculum is not a set of predetermined theories, goals and means. On the contrary, it is always associated with positively understood phenomenological processes in mathematics, as the curriculum is often used in conjunction with the transformation or development of practice. For Freudenthal…

Although schools with a high concentration of ethnic minorities often underperform, not much is known about the factors that predict high and even excellent achievement of pupils within these schools. Therefore, we examined which concrete diversity practices and key psychological processes increase or decrease the likelihood/odds for high and…

This study employed student choice and tiered worksheets as strategies of differentiated instruction on Quadratic Equations in addressing students' non-compliance with assignments in a flipped classroom. In each lesson, students choose among the instructional materials with guide questions to assist them in focusing on key areas during the…

Large scale international assessments depend on invariance of measurement across countries. An important consideration when observing cross-national differential item functioning (DIF) is whether the DIF actually reflects a source of bias, or might instead be a methodological artifact reflecting item response theory (IRT) model misspecification.…

Background/Significance: College algebra traditionally serves as the default math requirement for community college students. Lattimore and Depenbrock (2017) reported that approximately two-thirds of community college enrollees are required to take this course, yet nearly 80% fail to complete it, making it "the single most failed course in…

To provide quality mathematics education for disadvantaged groups of middle school students and continue to offer quality practicum experience to future teachers during the COVID 19 outbreak, we founded the Online Laboratory School. This school was free and open to public school students: 130 middle school students throughout Turkey attended for a…

Mathematics learning presents significant challenges for individuals with autism spectrum disorder (ASD). This study delves into the difficulties faced by ASD students in a private school in learning mathematics, according to the perspectives of teachers and parents. A qualitative study was conducted using semi-structured interviews with three…

Using mathematics to understand our world and combat injustices is particularly important in this era of increasing inequality and political polarization. This article reports on research conducted on the first assignment in a social justice module implemented in secondary mathematics methods courses. The assignment served as a formative…

Access to body-based resources has been shown to augment cognitive processes, but not all movements equally aid reasoning. Interactive technologies, like dynamic geometry systems (DGS), potentially amplify the link between movement and geometric representation, thereby deepening students' understanding of geometric properties. This study…