In this paper we frame our observations in enactivism, specifically problem posing, to propose the notion of problem drift as a method to analyze the curriculum generating actions of small group learning systems in relation to teacher interventions intended to trigger specific content goals. Teacher attentiveness to problem drift is suggested to…

Most studies which investigate mathematics teacher noticing cast perception into a passive role. This study develops an ecological analysis of mathematics teachers' noticing in order to investigate how teachers actively look for information in classroom environments. This method of analysis is applied to data collected as an experienced primary…

This study examined discussions centered on precise mathematical language use in two fifth grade classrooms. Drawing on episodes from lessons in which teachers focused on encouraging mathematics reasoning, our analysis examines the relationship between precise language use and mathematical justifying. We present three classroom episodes that…

Prospective teachers (PTs), enrolled in a mathematics methods course, were asked to analyze children's mathematical thinking by viewing videotaped clinical interviews over the course of an entire semester. They were also asked to conduct two of their own interviews with children as the semester progressed. While the type of analysis varied, all of…

This study examines a teacher's questioning strategies in mathematics classrooms in China when implementing reform-based mathematics curriculum. It explores teacher's strategies to deal with the tensions involved in the creation of opportunities for students to express and communicate mathematics ideas while ensuring the productivity of…

Observation of fellow educators conducting demonstration lessons is one avenue for teachers to develop sensitivity to noticing students' reasoning. We examined teachers' noticing of children's learning behaviours in one demonstration lesson of the "Mathematical Reasoning Professional Learning Research Program" (MRPLRP). The observations…

The goal of this study is to better understand preservice elementary teachers' changes in attitudes towards mathematics in connection with their participation in a module aimed at developing professional noticing capacities. This module, typically implemented in the mathematics methods course, involves practice with the three interrelated…

This paper presents the results of a study designed to facilitate teacher candidates' shift from students of mathematics to teachers of mathematics. We develop a series of tasks each of which encourages candidates to reconsider rich tasks from increasingly teacher-centric points of view. The results show that using authentic high school student…

A rationale and illustration of the use of original records or protocol materials in an evaluation research report are described. Records of school observations and audiotape transcripts were selected to represent the concepts or categories which were developed in the process of evaluation. These qualitative data were collected in a project which…

The goal of this project was to develop and field test training materials for students and teachers which would increase the probability of obtaining valid test results from the administration of standardized group achievement tests. The specific objectives were: (1) to produce a self-instructing videotape illustrating correct and incorrect test…

To fully explore the range of our human consciousness, we must have access to all available modes of experiencing: the bodily-implicit and the rational-explicit. To the extent that we become alienated from our bodily-felt side, we respond solely in terms of what the external situation demands. We lose sight of our own feelings and needs and…

This review of research literature about training in the skills of teaching indicates that change in skills can be brought about through different training methods, with different training populations, and in different training settings. This analysis of the literature was designed to assess the comparative contribution of a set of selected…

This pilot study examined the form or nature of the more highly organized knowledge structures used by successful problem solvers and whether there are experiences that would encourage their development. Previous related research and a theoretical framework are discussed. The small-group problem solving mode was used, with "A Problem with…

Mathematical norms are important cultural knowledge of mathematical activities. This paper reports an analysis of mathematical norms in ten consecutive lessons taught by an eighth-grade Japanese teacher. The lessons were located in the unit of simultaneous linear equations. The videotapes of the lessons, their transcripts, and the interview data…

This study examined whether selected protocol materials in classroom management, used in inservice courses, would bring about long-term significant changes in teachers' classroom performance. Fifteen teachers participated in the study by taking an inservice course on classroom management and discipline. Two modules of classroom management…