Acknowledging that our professional development (or methods course) was not going as well as we had hoped was difficult. However, knowing what to do and correcting the problem was even more challenging. This article explains how we engaged teachers in helping us rethink our video club by listening to and acting on their ideas. Through "coffee…

Algebra holds an important role in school mathematics, and teachers must recognize the broad range of algebraic ideas and develop a deep understanding of these concepts to teach algebra conceptually. This study aims to investigate two pre-service middle school mathematics teachers' (PSTs) conceptualization of algebraic thinking before and after…

This preliminary study explored how many representations of standard videos, animations/comics, and 360 videos are being used in mathematics methods courses to teach future teachers. Drawing on knowledge from prior studies on standard videos, this study aimed to address the gaps in literature to encompass other representations that are being…

We report the design of an analog technology, what we refer to as a SunRule, that uses sunlight to model multiplication. Physical models that explore multiplication are fixtures in elementary mathematics classrooms. Our interest in physical models of multiplication was driven by an overarching design problem: How could a physical tool realize a…

Learning to facilitate whole-class mathematical discussions is a complex task. Teachers must become adept at using discourse moves to elicit and extend student thinking and move discussions towards a mathematical point. Practice-based mathematics methods courses give pre-service teachers opportunities to rehearse these moves in a controlled…

Mathematics teacher educators can use video clips of children solving mathematics problems to help teacher candidates attend to nuanced aspects of teaching and learning mathematics. However, the process of selecting and using video clips to support teacher candidates' learning to teach mathematics is underexplored as are the ways in which…

This study investigates prospective secondary school mathematics teachers' developing conceptions about the meaning of derivative (as rate of change) while working on a series of tasks involving different non-motion real-life contexts. The study was conducted by employing a case study method. The participants of the study were 25 prospective…

In this article, we share design guidelines for the development and use of online, video-based "teaching playgrounds," which provide opportunities for prospective teachers to engage in professional noticing of teaching practices. Through teaching playgrounds, we provide an instantiation of the Presence+Experience framework, which…

In a multi-institutional study, the authors examine elementary preservice teachers' (PSTs') noticing skills before and after their engagement in a mathematics methods course. In particular, the authors examine their use of "Cognitively Guided Instruction" (CGI) as a means of supporting the development of PSTs' "professional noticing…

In this article, we share results from a field experience model in which junior-year methods classes were held in an elementary school and preservice teachers (PSTs) worked with a single student (a "Math Buddy") on mathematics for 30 minutes per day. We focus on the development of PSTs' skills for exploring children's thinking and the…

A prevailing challenge in teacher education is the "problem of enactment," a discrepancy in what teacher candidates (TCs) know or say about practice and what they can actually do or enact (Kennedy, 1999). Current practice-based teacher education research focuses on articulating pedagogies of practice and core practices to integrate…

The purpose of this study was to implement a Video Simulation Task in a mathematics methods teacher education course to engage preservice teachers in considering both the teaching and learning aspects of mathematics lesson delivery. Participants anticipated student and teacher thinking and created simulations, in which they acted out scenes on a…

Flipped learning is a popular pedagogical approach in K-12 and in higher education (Graziano, 2017), however minimal research exists on the effectiveness of flipped learning in special education teacher preparation courses. Special education teacher candidates enrolled in five sections of a special education math methods course engaged with…

Teacher self-efficacy is the belief a teacher holds that he or she can make a difference in student achievement, even when the student is difficult or unmotivated (Guskey & Passaro, 1994). It has been linked to positive teacher practices and student outcomes. This mixed methods study of preservice elementary and early childhood math teachers…

This paper focuses on results from a study conducted with two cohorts of pre-service teachers (PSTs) in a video case-based mathematics methods course at a large Midwestern university in the US. The motivation for this study was to look beyond whether or not PSTs pay attention to mathematical thinking of students, as shown by previous studies when…