Provide a metaview, lifting students into a wider view of the concept. Use another medium (not reading or writing) to connect students' personal knowing to the concept (i.e. visual arts, music, movement, metaphor, etc.) Involve learners in reflective production that blends the emotional and the cognitive.

Biscuit wrappers cylinder problem

Objective: To broaden students' understanding of maximum/minimum with an emphasis on conditions set for the problem.

Activity: Working in pairs, students are given two Hungry Jack biscuit wrappers or traced copies. Students are to roll wrappers back up to make two different sizes of cylinders. Tape these two cylinders to hold their shape. One is shorter and fatter. The other is longer and thinner. The teacher should have two cylinders of the two different sizes prepared as discussion models to expedite the student activity. Problem: determine if the the two cylinders hold the same amount.

Assessment: Ability of student teams to create the two cylinders and to find a way to solve the problem proposed.