For years, teacher education programs have focused considerable effort on teacher knowledge and how to develop the types of knowledge that matter in teacher education candidates. Meanwhile, candidate dispositions for teaching have received little attention, particularly in mathematics courses for candidates. As developers and practitioners of a…

The sanctioned language around "mathematics teacher knowledge" in the US centers pedagogy, content (mathematical knowledge), and students. Yet, this teacher learning approach often promotes (explicitly or implicitly) teaching and learning of mathematics that operationalizes mathematics as rigid, as a gatekeeper, and only useful for…

This research examined how pre-service mathematics teachers (PMTs) plan to support argumentation in their lessons about the hierarchical relationships among the quadrilaterals and what they notice during planning. The participants of this case study were eight pre-service middle-school mathematics teachers. Data consisted of the PMTs'…

We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

A disproportionate number of preservice elementary teachers exhibit high levels of math anxiety (Reid et al., 2018). Not only does this inhibit their ability to understand mathematical concepts, but it also negatively impacts their pedagogical approach to math (Beilock & Maloney, 2015; Reid et al., 2018). Teachers who experience math anxiety…

A central aspect of reform-minded mathematical teaching is training and developing teachers' ability to notice vital aspects in the classroom and more specifically, students' mathematical thinking. As there is an abundance of evidence and research that support the benefits for teachers to elicit and use students' ideas and thinking during…

In this paper I discuss the possibilities for exploring the hundred chart kinesthetically with elementary preservice teachers using a life-size hundred chart--an innovative tool, homemade from a shower curtain--to build quantity sense. Preservice teachers explored creative approaches to teach mathematics using the life-size hundred chart and…

Mathematical and didactic knowledge presented in mathematics textbooks and other resources, like mathematics comics (MCs), needs to be evaluated from a lens of appropriate theoretical framework in mathematics education before it can be used as a medium for teaching and learning mathematics. Therefore, this study investigates mathematical and…

Online learning platforms take over a new role in education, especially in times of the COVID-19 pandemic. This paper will discuss pre-service teachers' reflections on attitudes towards online learning platforms and the respective changes due to an online training of using this digital tool in mathematics classes. The special training took place…

Insights into the process of mathematical problem posing is a central concern in mathematics education research. However, little is known about regulative or metacognitive behaviors that are essential to understanding this process. In this study, we investigate metacognitive behavior in problem posing. We aim at (1) identifying…

Considerable research has been conducted on the critical role of gesture and action in children's mathematical thinking. However, teacher professional development (PD) has not tended to include specific supports for attending to nonverbal student thinking. In this Brief Report, we argue for including supports for multimodal teacher noticing in…

Teacher noticing has been identified as central to enacting responsive and equitable mathematics instruction. Mathematics teachers' noticing is shaped by institutional and sociopolitical narratives and ideologies that persistently marginalize culturally, socially, linguistically, and neuro-diverse learners. Gaining insight into how one's noticing…

Mathematical proofs play a paramount role in developing 21st-century skills, and the use of technology in mathematics learning has widely paved the way in the instruction of mathematical proofs. In mathematics education, GeoGebra has a significant role as a dynamic mathematics software in supporting students' learning process. This study aims to…

There is emerging evidence that professional noticing is embodied. Yet, there is still a need to better under embodied noticing at a fundamental level, especially from the preservice teachers. This study used traditional and holographic video, along with eye-tracking technology, to examine how preservice teachers' physical act of looking interacts…

The current teaching of mathematics is guided by recommendations that suggest the implementation of various activities in order to raise the understanding of mathematical knowledge. This diversity is related to the characteristics of the tasks proposed in the learning contexts. Among all tasks, the modelling ones call for the application of…