The aim of this paper is to discuss preservice mathematics teachers' in-the-moment noticing of mathematical opportunities and how they reflected on those opportunities both orally and in writing. A faculty-school collaboration program was set up to enable preservice teachers to work with students in a school setting throughout a year. Ten…

The VIDEO-LM project (Viewing, Investigating and Discussing Environments of Learning Mathematics) is aimed at enhancing mathematics teachers' reflection on their professional practice, through watching and discussing videotaped lessons of unknown teachers. The discussions are guided by the use of an analytic framework, comprised of six detailed…

The traditional structure of field experiences poses a dilemma for urban teacher preparation. Research shows that teachers of low-income, urban students often have negative beliefs about, and attitudes towards, their students. Yet, large numbers of cooperating teachers are routinely utilized as mentors in urban classrooms. This practice…

This paper examines the experience of an action research "Study Day" to investigate development of a culture of reflective practice among educators. Shared recognition of the importance of reflective practice in education is now a well-established part of both pre-service preparation and in-service work experience for educators. Osterman…

This is an ethnographic study of promotion of metacognition, focusing on the teaching practices in secondary mathematics classrooms of three teachers in the UK. With all three teachers, observations of their teaching and interviews regarding their teaching were conducted. The main aim was analysing and substantiating the parallels and differences…

Given the minimal impact in the classroom from the implementation of reform movements internationally, the question remains how researchers and teacher educators can address the learning needs of secondary mathematics teachers. The goal was to implement research that was focused on providing an empowering space for the advancement of teachers'…

The purpose of this study was to determine if online reflections through social networking affect students' sense of community and levels of perceived conceptual learning in Algebra I courses. Social constructivism, connectivism, and computer-mediated communication in relation to reflective practices form the theoretical and practical framework…

In this qualitative study we used a case study approach to observe and analyse a mathematics teacher who was challenged to redesign her lessons during network meetings with colleagues. Changes in practical knowledge are described by means of concept maps and semi-structured interviews. We applied cycles of change from the Interconnected Model of…

In this article, the authors discuss some of the dispositions that comprise students' (and teachers') relationships with mathematics--what they call a "mathematical identity." They define "mathematical identity" as an individual's "relationship" with mathematics. They present three reflective tasks that can be used with math students at all levels…

An undergraduate seminar was designed to help preservice teachers focus on students' learning. Preservice teachers planned and conducted weekly tutoring sessions with fourth graders and discussed their experiences in weekly discussions. The author investigated what preservice teachers learned about teaching mathematics from their focus on…

This article suggests that a critical perspective of the notion of social representations can offer useful insights into understanding practices of teaching and learning in mathematics classrooms with immigrant students. Drawing on literature using social representations, previous empirical studies are revisited to examine three specific…

This article describes features, consistent messages, and new components of "Mathematics Teaching Today: Improving Practice, Improving Student Learning" (NCTM 2007), an updated edition of "Professional Standards for Teaching Mathematics" (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for observing,…

In this study, we examined prospective middle school mathematics teachers' reflective thinking skills to understand how they learned from their own teaching practice when engaging in a modified lesson study experience. Our goal was to identify variations among prospective teachers' descriptions of students' thinking and frequency of their…

This book offers easy-to-use classroom strategies for middle and high school Mathematics and Science classrooms. They demonstrate how teaching, learning, and assessment are inseparable and seamless. Each strategy will engage your students in activity and reflection, consuming little class time, costing nothing, and uniting the three dimensions of…

This study examined the impact on 16 middle-school teachers' conceptions of mathematics learning and teaching of reflections on their learning experiences within mathematics professional development. The research questions were: In their reflections, what do teachers express about how they best learned mathematics through these learning…