Capturing and measuring instructional patterns by using standardized observation manuals has become increasingly popular in classroom research. While researchers argue that a common vocabulary of teaching is necessary for the field of classroom research to move forward, instructional features vary across classrooms and contexts, which poses…

The question of grouping students into homogeneous and heterogeneous groups is not new, but it does not find an unambiguous answer in the literature, especially in mathematics. In this paper, we address the question of whether grouping students into homogeneous and heterogeneous groups in mathematics improves their knowledge. The quasi-experiment…

During the last decades, the study of how learners and teachers of mathematics use the resource of language has contributed to our understanding of mathematics teaching and learning in a variety of classrooms and cultures. Developmental work with mathematics teachers on the particular resource of mathematics teaching talk is more recent. In order…

The perception of self-efficacy introduced by Albert Bandura's social cognitive theory is defined as a person's view of their capacity to organize and carry out the activities necessary for success in a specific situation. The most effective mathematics teachers believe that they are a capable and important influence on their students'…

The Students' Approaches to Learning (SAL) tradition comprehends an approach to learning as a combination of students' aims for learning and the processes used to achieve them. The tradition values a deep approach to learning; this is the case also in the context of university mathematics, where a deep approach is seen as a requirement for…

Advanced mathematics is seen as an integral component of secondary teacher preparation, and thus most secondary teacher preparation programs require their students to complete an array of advanced mathematics courses. In recent years, though, researchers have questioned the utility of proposed connections between advanced and secondary…

Mathematics pre-service teachers (PSTs) need opportunities to learn best practices in teaching mathematics, e.g., productive struggle. Productive struggle happens when students work through challenging problems that are not straightforward. This paper describes mathematics PSTs' engagement with productive struggle in a mathematics methods course.…

This study aims to reveal how the embodied cognition of certain geometrical concepts of secondary-school students arises via gestures and what kinds of gestures they produce while engaging with different concepts. The study participants comprised four eleventh-grade students studying at a state high school in Turkey. The study focused on the…

This study explored teaching early mathematical skills to 3- to 7-year-old children in early childhood education and care (ECEC) and pre-primary education. Teachers in ECEC (N = 206) answered a web survey. The first aim was to determine whether teaching frequency or pedagogical awareness of teaching early mathematical skills varied according to…

In response to urgent calls for teaching that is culturally affirming, scholars have developed a myriad of images of culturally sustaining (and related) pedagogies (CSPs). However, for maths teachers, CSPs remain elusive, in part because these images are typically content-neutral and their applicability to practice opaque. In this paper, I…

Central to criticisms of teacher professional development is an insufficient focus on its impact including minimal evidence of changes to practice coupled with inadequate emphasis on student outcomes. This year-long study of one case study school investigates the impact of a seven-month professional development initiative designed to support…

Introduction: Textbook tasks are considered as tools for implementing, endorsing mathematical thinking and thereby creating chances for mathematics learning. Therefore, textbook tasks can potentially influence and structure the way students think and can serve to limit or to broaden their views of the subject matter with which they are engaged.…

Prospective teachers' mathematics efficacy beliefs affect school placement experiences and influence later teacher behaviour and subsequent student outcomes. These efficacy beliefs are open to change during initial teacher education and become more resistant to change once the teacher enters the workforce. Therefore, it is important to measure…

Mathematical modelling emphasizes the connection between mathematics and reality -- still, tasks are often exclusively introduced inside the classroom. The paper examines the potential of different task settings for mathematical modelling with real objects: outdoors at the real object itself, with photographs and with a 3D model representation. It…

This paper describes a course designed to introduce students to mathematical thinking and a variety of lower level mathematics topics using baseball while satisfying the goals of quantitative reasoning. We give suggestions for sources, topics, techniques, and examples so any mathematics teacher can design such a course to fit their needs. The…