Promoting Student Collaboration in a Detracked, Heterogeneous Secondary Mathematics Classroom

Detracking and heterogeneous groupwork are two educational practices that have been shown to have promise for affording all students needed learning opportunities to develop mathematical proficiency. However, teachers face significant pedagogical challenges in organizing productive groupwork in these settings. This study offers an analysis of one teacher’s role in creating a classroom system that supported student collaboration within groups in a detracked, heterogeneous geometry classroom. The analysis focuses on four categories of the teacher’s work that created a set of affordances to support within group collaborative practices and links the teacher’s work with principles of complex systems.

Conversations between Anthropologists and Economists

Interdisciplinary citation patterns and other indicators of the flow and sharing of academic knowledge suggest that economists and anthropologists do not talk to each other. Previous studies of this puzzling trend have typically attributed the problem to methodological differences between the two disciplines. Although there are significant differences between economics and anthropology in behavioral assumptions and modes of inquiry, similar differences exist between them and other disciplines (some with much heavier volumes of cross-citations with economics or anthropology), suggesting that the source of the problem lies elsewhere. This paper considers the problem at a deeper level by examining systematic differences in the preferences, capabilities, and literary cultures of economists and anthropologists. Adopting a rhetorical perspective, I consider not the firms, households, or tribes as the principal objective of analysis in the two disciplines, but the conversations between these units. These conversations (through non-verbal as well as verbal media) can be grouped into two genres, based on the type of problem they aim to solve. Those in the first genre aim to solve the problem of interest--how to align the incentives of the parties involved. Those in the second genre deal with the problem of knowledge--how to align localized, and dispersed information. Economists are interested and capable of dealing with primarily, if not exclusively, the first genre, and anthropologists focus on the second. This difference has far reaching consequences for how economists and anthropologists conduct their own scholarly conversations with their own colleagues, why they are having difficulty talking to each other across disciplinary boundaries, and what can be done to change the patterns of communication.

This Was Not on the Syllabus!: An Examination of First-Year Urban Teachers' Self-Efficacy

Many first-year teachers find it difficult to reach the needs of all their students in part, because they feel their college coursework left them ill-prepared for the complexity they face in the classroom. This is particularly true among urban teachers who often face crowded classrooms of diverse students with a wide range of instructional needs. This study is a comparative case study of two University of Connecticut graduates during their first year teaching in urban schools. Using mixed-methods, the study draws on interviews, questionnaires, and videotape data shared as a part of a monthly teacher study group of similar graduates. I also draw on group conversations in which teachers discussed their ability to reach the needs of all of their students as this was related to their preservice coursework. My findings suggest that many first-year teachers feel university coursework failed to help them. One teacher felt it did not help her at all, while the other felt it helped her but she still could not meet all of her students' needs. Many first-year, urban teachers do not feel confident in the classroom as a result of their preparation from coursework. With this lack in confidence, the teachers may be more likely to leave their urban position, and this may contribute to the high turnover of teachers in urban placements.

Supporting Whole-Class Collaborative Inquiry in a Secondary Mathematics Classroom

Recent mathematics education reform efforts call for the instantiation of mathematics classroom environments where students have opportunities to reason and construct their understandings as part of a community of learners. Despite some successes, traditional models of instruction still dominate the educational landscape. This limited success can be attributed, in part, to an underdeveloped understanding of the roles teachers must enact to successfully organize and participate in collaborative classroom practices. Towards this end, an in-depth longitudinal case study of a collaborative high school mathematics classroom was undertaken guided by the following two questions: What roles do these collaborative practices require of teacher and students? How does the community’s capacity to engage in collaborative practices develop over time? The analyses produced two conceptual models: one of the teacher’s role, along with specific instructional strategies the teacher used to organize a collaborative learning environment, and the second of the process by which the class’s capacity to participate in collaborative inquiry practices developed over time.

Labeling in the Classroom: Teacher Expectations and their Effects on Students' Academic Potential

The transition to high school can be challenging for some adolescents, resulting in drops of academic functioning (Barber & Olsen, 2004; Smith, 2006). While changes in academic demands and the disparity between adolescent needs and the environmental characteristics of high school have both been cited as possible contributors to this decrease in academic and personal functioning (Barber & Olsen, 2004), it is possible that teachers may play an even larger role in undermining these students’ functioning, specifically through labeling. Although labeling, and how it can lead to self-fulfilling prophesies, is a concept that has been thoroughly researched and applied to the field of criminology and deviant behavior, it is the goal of this current study to investigate if labeling also occurs in the classroom setting and how such labels ultimately effect the academic potential of high school students.