In this paper, we present an emerging set of learning conjectures and design principles to be used in the development of professional learning tasks that support elementary teachers' learning of mathematics learning trajectories. We outline our theoretical perspective on teacher knowledge of learning trajectories, review the literature concerning…

Reports on an 18-month investigation of a teacher's actions during class discussions in a second-grade classroom in which student disagreement was resolved by argumentation. Concludes that creating a classroom environment in which students struggle with their own learning requires that teachers understand the complex relationship between the…

Elementary school teacher candidates typically enter their professional training with deficiencies in their conceptual understanding of the topics of elementary school mathematics and with a reliance upon procedural (algorithmic) approaches to the solutions of mathematical problems. If elementary school teacher candidates are expected to teach…