To date, this project has not yet generated findings.
The Learning and Teaching Geometry project (LTG) will create five video case modules focused on classroom instruction for use in professional development of middle school mathematics teachers. The materials will be designed to support teachers to develop an understanding of the mathematics knowledge for teaching the concept of similarity in geometry and beyond. Module I, the foundation module, will focus on a thorough grounding of similarity and will contain 6-8 video case sessions. The four extension modules (containing 3-4 video case sessions each) will offer options for further exploration on related topics depending upon teachers’ interests and needs. The five modules are:
- Conceptualizing, Defining, and Representing Similarity (Foundation Module)
- Definitions and Theorems: What is the Difference?
- Similar or Merely Alike? The Role of Language in Geometry
- Choosing and Using Technological Tools to Enhance the Learning of Similarity
- From Inductive to Deductive Reasoning: Bridging to High School Geometry
Overall learning goals include supporting teachers (1) to understand links to congruence, isometries, and dilation, (2) to think of similarity in terms of scale factor—for strengthening proportional reasoning and generalizing about geometric measurement in 1,2, and 3 dimensions, and (3) to realize the essential role similarity of triangle plays in understanding linear functions and slope. These video case modules, consisting of 18-24 total video case sessions, will provide a coherent sequence of professional development materials that can be used within a variety of institutes and workshops for teachers. Each module will be comprised of two major sets of resources: (1) video case materials and (2) facilitation resources. Video case materials include video segments and other records from classroom lessons (e.g., samples of student work, teacher notes, and curriculum materials). Facilitation resources will provide support for the professional developers to use the video case materials with teachers (e.g., detailed agendas, mathematical commentaries, facilitation notes, and other resources that field test sites deem important).