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.

Measuring Middle School Achievement Growth With Student Growth Percentile Methodology

This study examined reading and mathematics achievement growth for middle school students over three years using statewide test scores using student growth percentile methodology (Betebenner, 2008). This newly-emerging growth methodology provides a basis for examining growth normatively (“what is”) in order to provide a foundation for policies about adequate growth (“what should be”) and excellent growth (“what could be”). Growth is compared among student subgroups and different middle schools. A particular focus of the study is identifying typical growth trajectories of low-achieving 6th graders through the middle school years.