This study aims to analyze possible connections among the noticing skills of pre-service mathematics teachers, and specifically the skills of attending to students' thinking, interpreting students' mathematical understanding, and proposing teaching alternatives. We characterized these connections in terms of coherency, i.e., the extent to which…

This paper aims to characterize critical events noticed by novice mathematics teacher-educators (NMTEs) while they facilitate teacher education sessions. Twenty-four NMTEs enrolled in a university course on teaching teachers were asked to facilitate a series of three sessions with preservice teachers, identify critical events from those sessions…

A 12-episode constructivist teaching experiment with two pairs of elementary preservice teachers was conducted to examine how they reason distributively and proportionally. Specifically, I studied how prospective teachers reason with ratios as multiplicative comparisons. Prospective teachers solved different problems in one specific context (Step…

This paper explores the education of prospective teachers with regard to the Theory of Didactical Situations when they engage in lesson study. We particularly focus on studying how a lesson study process oriented towards the Theory of Didactical Situations contributes to increasing prospective teachers' self-efficacy to plan and teach lessons…

Teacher educators globally have argued that developing coherent programs can combat the fragmentation that often characterizes teacher education and better support teacher learning. Yet, there is little research on coherence in mathematics teacher education, especially from the perspectives of preservice teachers. To that end, in this article, we…

Many elementary education programs have only one mathematics methods course designed for preservice teachers (PTs). Such courses typically cover a range of content and present a challenge for mathematics teacher educators (MTEs) who strive to prepare their PTs to teach mathematics in equitable and humane ways. Due to the "stand-alone"…

Practice-based pedagogies, such as representations of practice and approximations of practice, are increasingly common in mathematics teacher education. More needs to be known about how teacher candidates' (TCs') productions through such activities make visible the resources they bring to the work of teaching. In this paper, we highlight our use…

This study articulates the epistemological support of reflective practices for the professional practice of crafting mathematics problems in realistic contexts. The data were collected from 15 middle school pre-service mathematics teachers in two semesters as they were generating problems and engaging in three reflective practices, which served to…

This article reports on a second national survey of higher education institutions in the USA to answer the question "Who teaches mathematics content courses for prospective elementary teachers, and what are these instructors' academic and teaching backgrounds?" and addresses valuable information not collected with the first survey…

This study investigated the middle school preservice mathematics teachers' conceptualization of what it means for a problem to be mathematically rich and contextually realistic and how their conceptions evolved during a series of professional development activities. Fifteen middle school preservice mathematics teachers were involved in this…

This paper presents the findings of an empirical research project, designed with a combination of qualitative and quantitative methodology. Our goal was to apply Wiener attribution theory with a mathematics-specific pedagogical focus as a lens for analysing reflections. Our database consists of the prospective teachers' reflections on…

This study examined elementary and secondary prospective teachers' (PTs') abilities to analyze a classroom lesson in order to make claims about student thinking around specific mathematical learning goals based on relevant and revealing evidence. Previous research suggests PTs have some skills in analyzing evidence but apply them inconsistently.…

In this paper, we report an enquiry into elementary preservice teachers' learning, as they engage in doing mathematics for themselves. As a group of researchers working in elementary Initial Teacher Education in English universities, we co-planned and taught sessions on growing pattern generalisation. Following the sessions, interviews of fifteen…

The main purpose of this study was to explore the effects of two college-level mathematics courses on preservice elementary teachers' mathematics anxiety and mathematics teaching self-efficacy beliefs. For this purpose, a quasi-experimental study was implemented on two college-level mandatory mathematics teaching methods courses that were…

Interactions around unexpected, incorrect, or dis-preferred responses can be powerful sites of learning for both teachers and students. The information that teachers uncover through probing student thinking can then guide their pedagogical response. We report on a study of prospective teachers' skills and capabilities around a particular problem…