
These modules are designed to support preservice secondary mathematics teachers’ development of pedagogical skills related to professional noticing of student thinking and leading productive mathematics discussions in technology-mediated geometry environments. The modules engage teacher candidates in dynamic geometry tasks and provide opportunities to analyze videos and samples of student work on the same tasks. Throughout the sequence, attention is given to the coordination of students’ interactions with technology and their expressed geometric reasoning. Tasks are intentionally designed to deepen understanding of foundational geometric ideas while simultaneously building technological pedagogical geometry knowledge.
Overview Materials
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Choose a Module Below
1. Introduction to DGEs and Exploring Triangles
Explores triangle concepts and constructions in dynamic geometry environments while developing instructional goals, selecting high-cognitive-demand tasks, and anticipating student thinking.
2. Quadrilaterals, Geometric Thinking, and Anticipating
Engages teachers in defining and classifying quadrilaterals while using the Geometric Thinking Framework to analyze and interpret students’ reasoning in dynamic geometry environments.
3. Transformations, Monitoring, and Posing Questions
Investigates rigid motions, dilations, and similarity while strengthening teachers’ abilities to anticipate, monitor, and pose questions that advance students’ geometric reasoning.
4. Geometric Modeling and Orchestrating Productive Discussions
Connects geometric modeling and area concepts with the Five Practices to support selecting, sequencing, and connecting student ideas during whole-class discussions.
