Encourage tinkering with ideas, relationships, connections. Set up situations where students have to find information not readily available in school texts. Provide opportunity for students to design open-ended explorations of the concept. Provide multiple options so students can plan a unique "proof" of learning.

"Cardboard strip geometry."

Objective: To construct the frameworks for 2 and 3 dimensional geometric figures.

Activity: "Cardboard Strip Geometry" from Dr. Jim's Math Activities Book. Using cardboard strips and brads to connect them, construct geometric figures. First, use one-dimensional figures, they try to build some 3-D figures. Consider what constructions are stable and unstable.

Assessment: Observation of student participation and uniqueness of shapes.