Week+4


 * Week 4: Geometric Proof**

By focusing on activities involving polygons and circles that are the givens for formal proofs, participants explore how the dynamic nature of Sketchpad can support and reconceptualize traditional approaches to proof.

Visual Media: Activities: Properties of a Rhombus Project: Create constructions of a rhombus based on the converses of rhombus properties and analyze whether the converses are true and how the behavior of the sketches indicate the underlying construction.
 * "Cyclic Quadrilaterals" JavaSketch
 * Interview with Nick Jackiw, "Dynamic Geometry"
 * Interview with Ralph Pantozzi, "A Metaphor for Thinking"
 * Video demonstration with Janet Bowers, "Proof with Sketchpad"
 * Triangle Congruence
 * The Isosceles Right Triangle
 * The 30-60 Right Triangle
 * Tangents to a Circle
 * Tangents Segments
 * Arcs and Angles

Journal Prompt: Participants are asked to reflect on the relationship between dynamic geometry and proof and how Sketchpad can help students help develop their ability to construct a proof.