An open-ended problem about a circle illustrates how problem-based instruction can enable students to develop reasoning and sense-making skills.
Gloriana González and Anna F. DeJarnette
Anna F. DeJarnette and Gloriana González
Given the prominence of group work in mathematics education policy and curricular materials, it is important to understand how students make sense of mathematics during group work. We applied techniques from Systemic Functional Linguistics to examine how students positioned themselves during group work on a novel task in Algebra II classes. We examined the patterns of positioning that students demonstrated during group work and how students' positioning moves related to the ways they established the resources, operations, and product of a task. Students who frequently repositioned themselves created opportunities for mathematical reasoning by attending to the resources and operations necessary for completing the task. The findings of this study suggest how students' positioning and mathematical reasoning are intertwined and jointly support collaborative learning through work on novel tasks.
Anna F. DeJarnette, Sahid L. Rosado Lausell and Gloriana González
Turn a typical geometry problem into a great task that promotes students' reasoning and sense making.