This work explores the complex cognitive processes students engage in when addressing contextual tasks requiring linear and exponential models. Grounded within Piagetian constructivism and the Knowledge in Pieces (KiP) epistemological perspective (diSessa, 1993, 2018), this empirical study in a clinical setting develops a Microgenetic Learning…

This paper contributes to understanding the work of teaching the university geometry courses that are taken by prospective secondary teachers. We ask what are the tensions that instructors need to manage as they plan and teach these courses. And we use these tensions to argue that mathematics instruction in geometry courses for secondary teachers…

In mathematics, students' abilities to make transformations between mathematical representations are fundamental. The recent implementation of digital technologies, such as Dynamic Geometry Environments (DGEs), have changed students' access to mathematical representations by providing a variety of different representations, available just by…

Effective education depends on various factors, with textbooks and courses being essential for preparing students for real life situations. Therefore, it's crucial that textbooks are thoughtfully developed and chosen. This study investigates how middle school mathematics textbooks approved by the Ministry of National Education for the 2021-2022…

This study aims to investigate ethical tensions involved in mathematics teachers' instructional decisions. The research was designed as a multiple case study and three mathematics teachers were chosen as cases with criterion sampling strategy. Data were collected through a series of in-depth interviews via semi-structured questions and scenarios.…

The solution and verification of single-digit multiplication problems vary in speed and accuracy. The current study examines whether the number of different digits in a problem accounts for this variance. In Experiment 1, 41 participants solved all 2-9 multiplication problems. In Experiment 2, 43 participants verified these problems. In Experiment…

Physical experiments in classrooms have many benefits for student learning, including increased student interest, participation and knowledge retention. While experiments are common in engineering and physics classes, they are seldom used in first-year calculus, where the focus is on solving problems analytically and, occasionally, numerically. In…

Instructors manage several tensions as they engage students in defining, conjecturing, and proving, including building on students' contributions while maintaining the integrity of certain mathematical norms. This paper presents a case study of a teacher-researcher who was particularly skilled in balancing these tensions in a laboratory setting.…

There is consensus that, for student achievement, teachers matter. However, providing reliable research evidence for the effects of observable teacher characteristics, such as qualification measures, has been difficult. The current study uses panel data based on register information from teachers and students to estimate effects of teacher…

Self-efficacy or perceived ability refers to the confidence an individual has in their ability to successfully perform a specific task. Previous researchers have demonstrated the importance of self-efficacy beliefs and its impact on predicting students' mathematics performances. Specifically, gender has been regarded as an important moderator…

Executive functions (EF) play a fundamental role in the acquisition of learning, especially in mathematics. The literature seems to indicate that fitness and physical activity (PA) have an important impact on cognition, including EF. Although the relationship between these variables seems evident, few studies have investigated the mediation role…

This study examines changes in secondary mathematics teachers' noticing of argumentation through experiencing a peer-assessment cycle. Sixty-one teachers participated in such a cycle comprised of (a) analyzing a written argumentation classroom situation (ACS) using a report format, (b) collaboratively assessing peers' ACS-reports using an ACS…

Extended reality (XR) -- encompassing virtual reality (VR), augmented reality (AR), and mixed reality (MR) -- emerges as a potential transformative tool in educational realms. This article explores the potential of XR in facilitating mathematics assessments; it proposes a list of mathematical topics that could be effectively mediated by XR's…

The main purpose of mathematics education in special education is to enable each student to learn and apply mathematical concepts by taking into account their individual needs. The aim of the study is to determine the place of publications including "special education and mathematics", "special education and mathematics…

With math scores stagnating in the United States and achievement gaps widening between demographic groups, improving student outcomes is imperative. Previous studies have shown that using visual representations to teach math concepts has been shown to be an effective component of equitable elementary math teaching. This action research study…