|Original CEP Posting|
Description of Learning Activity
1. Learning Activity Types
- LA-Present - (read or attend to) presentation of new content/ideas
- LA-Present-Demo - demonstration
- LA-Present-Explain - explanation
- LA-Explore - exploring/investigating mathematical ideas
- LA-Apply - applying mathematics to problems and situations
2. What mathematics is being learned?
- NCTM-Geo-analyze - analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships;
- NCTM-Geo-specify locations - specify locations and describe spatial relationships using coordinate geometry and other representational systems;
- NCTM-Geo-visualization - use visualization, spatial reasoning, and geometric modeling to solve problems.
- PS-conceptual understanding - Students work with a specific example but the activity tries to promote the idea that students can wander down a path of "What if I did this?" and still reach similar results.
- PS-adaptive reasoning - Throughout the construction and manipulation, students have to understand what is happening, how its happening, and why its happening.
- PS-productive disposition - Seeing the tessellation animated at the end of the activity is fun and rewarding.
3. How is the mathematics represented?
4. What role does technology play?
Affordances of Technology for Supporting Learning
- Computing & Automating - Sketchpad allows students to construct shapes on a computer more easily than if they were drawing them with pencil and paper. Sketchpad also allows them to manipulate and change the shapes more easily than with pencil, paper, and eraser. The effect of rotating the tile to tessellate the plane is achieved through technology; this cannot be done on paper.
- Representing Ideas & Thinking - Sketchpad allows students to visualize and explore mathematics problems.
- Accessing Information -
- Communicating & Collaborating -
- Capturing & Creating -