This study describes the Reflection Connection Cycle professional development designed to support teachers' use and appreciation of students' out-of-school practices related to school mathematics. The year-long program incorporated group lesson design, readings, and video analysis for 14 elementary school (ages 5-12) teachers. Analysis of lesson…

The purpose of this study was to investigate the relationship between instructional design and classroom discourse as implemented by a mathematics teacher. The instructional design in this study distinguished three different types of discussions--framing, conceptual, and application--based on their sequential position, their purpose, the…

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…

This study explored prospective elementary teachers' perspectives on real-life connections in the case of story problems. A series of tasks were designed to uncover the participants' collective perceptions of real-life connections by speculating on participants' emerging beliefs about real-life connections and how their beliefs were reflected in…

This study presents a qualitative analysis of the knowledge teachers in one professional development course used to reason about proportional relationships with double number lines. We work from the knowledge-in-pieces perspective to consider the existing knowledge the participants did or did not invoke when learning to reason with this…

This article focuses on the methodological use of reflective narratives from discourses and activities of an experienced primary teacher as evidence of her professional identity. The teacher's reflective narratives emerge from her participation in a 3-year developmental and research project, Learning Communities in Mathematics, conducted at the…

This article reports on a national survey of higher education institutions in the United States to answer the question, "Who teaches mathematics content courses for prospective elementary teachers, and what are these instructors' academic and teaching backgrounds?" We surveyed 1,926 institutions, and a faculty member from each of 825 institutions…

A major research concern for teacher education is the impact of university credentialing programs on K-12 teaching and the disjuncture between university-promoted practices and what teachers actually do in their classrooms. In particular, mathematics-credential programs typically promote reform-oriented methods, while mathematics teaching in the…

In order to evaluate the effectiveness of an experimental elementary mathematics field experience course, we have designed a new assessment instrument. These video-based prediction assessments engage prospective teachers in a video analysis of a child solving mathematical tasks. The prospective teachers build a model of that child's mathematics…

Although potentially powerful for educators, the construct of teacher reflection has become diluted, rendering teacher engagement with meaningful reflection problematic. This article presents a theoretical framework that divides teacher reflection into two broad categories. The first and most common "incident reflection" occurs as specific…

Assumptions about the construction and the transmission of knowledge and about the nature of mathematics always underlie any teaching practice, even if often unconsciously. I examine the conjecture that theoretical tools suitably chosen can help the teacher to make such assumptions explicit and to support the teacher's reflection on his/her…

The technological revolution that has finally permeated K-12 education has direct implications for modern teacher educators whose "Hippocratic oath" is to best prepare future teachers for twenty-first-century classrooms. The goal of this article is to suggest that the heart of sound technological implementation is to encourage students to use…

Two research questions are answered: how did teacher instructional skills develop during a whole school year? What is the influence of this development on the interactions between students during the co-operative learning moments? From the analysis, it appeared that the teachers' instruction changed from direct instruction to a more process and…

This study focused on the use of curriculum materials for three teachers who had enacted instructional sequences from the materials on multiple occasions. The study investigated how the teachers drew on the materials, what they understood about the curriculum resources, and how they connected their use of the materials to their observations of…

Studies show that extending students' mathematical thinking during whole-group discussions is a challenging undertaking. To better understand what extending student thinking looks like and how teachers' mathematical knowledge for teaching (MKT) supports teachers in their efforts to extend student thinking, the teaching of six experienced…