We present an analysis of the practices of one mathematics teacher educator in the context of an elementary methods course. Our analysis of the 51 tasks used in the course revealed a content structure characterized by four components: mathematical knowledge, psychology of mathematics learning, teachers' didactic actions, and reflection. The…

Children's mathematical questions are often based in real-world experiences, as they instinctively make connections to the world around them. In teaching math methods courses, this author recently started to emphasize the importance of fostering curiosity in, and activating the thinking of, the students. In this article, she describes how to tap…

Prospective elementary teachers must understand fraction division deeply in order to meaningfully teach this topic to their future students. This paper explores the nature of the subject content knowledge of fraction division possessed by a group of Taiwanese prospective elementary teachers at the beginning of their mathematics methods course. The…

Mathematics and science are often combined in early childhood education programs into a single methods course. This can lead to an integrated view of the two, thus neglecting their conceptual, procedural, and epistemological differences. To promote their foundational integrities, we, one mathematics and one science educator, collaborated on…

Instructors (N = 204) of elementary mathematics methods courses completed a survey assessing the extent to which they stay informed about research related to effective uses of educational technology and the kinds and numbers of educational technologies they include in their courses. Findings indicate that, while they view educational technology…

This research study examines preservice teachers' experiences of learning through game design. In particular, we investigate how their perceptions of digital games have evolved through the process of designing and building their own educational games. We are also concerned with the knowledge and reasoning skills that preservice teachers…

In this article, we draw on survey data to investigate associations between Chinese elementary teaching candidates’ mathematical knowledge for teaching (MKT) and their experiences in mathematics courses, mathematics methods courses, and student teaching. In our study, we found that (a) Chinese teaching candidates' completion of courses in number…

This article reports the collaborative self-study of a teacher educator and two teacher candidates, focusing on the unforeseen negativity of experiences encountered by the three researchers in both a university methods course and student teaching settings. The implication of this study helped the researchers foresee new hypothetical learning…

The "flipped classroom" is gaining popularity in a number of settings, including secondary schools, reflecting a belief that the approach is more engaging and effective for students. This paper reports on a senior secondary mathematics class's experience with adopting a flipped classroom approach. The findings indicate that the teacher…

The goal of this study is to develop the professional noticing abilities of preservice elementary teachers in the context of the Stages of Early Arithmetic Learning. In their mathematics methods course, the preservice elementary teachers participated in a researcher-developed multi-session module that progressively nests the three interrelated…

The purpose of this study was to explore the impact of an integrated science and mathematics methods course on preservice early childhood teachers' efficacy beliefs for integrating these content areas. Thirty-four preservice teachers participated in this study, which utilized a quasi-experimental design with two treatment groups. Participants in…

The purpose of this research was to examine what preservice teachers learned about their intentions to provide equitable instruction in comparison to their actual teaching acts. Preservice teachers in a K-6 mathematics methods course analyzed their verbal interactions from their teaching of a mathematics lesson and used guided reflection to…

Several studies have documented prospective teachers' (PSTs) difficulties in offering instructional explanations. However, less is known about PSTs' learning to provide explanations. To address this gap, we trace changes in the explanations offered by a purposeful sample of PSTs before and after a mathematics content/methods course sequence.…

This paper presents some results of research aimed at contributing to the development of a professional knowledge base for teachers of elementary mathematics methods courses, called here "teacher educators." We propose that a useful unit of analysis for this knowledge could be the tasks in which teacher-educators engage pre-service…

The purpose of this study was to explore pre-service and in-service mathematics teachers' analyses of student learning in a video case of mathematics instruction via an online learning forum. The study was conducted in the context of three different mathematics methods courses in a 4-year college in the Midwestern United States. Twenty-six…