ABSTRACT
Gary Simon, a mathematics teacher at Cambridge Rindge and Latin High School, meets his geometry class in the computer lab approximately two of five mornings each week. He hands students a problem as they come in to take their places, individually or in pairs, at one of the dozen computers in the room. The Supposer is already booted in the machines, so they get right to work on Simon’s instructions:
Draw triangle ABC. Connect the midpoints of two sides of the triangle (midsegment). Connect one of the midpoints with the nonadjacent vertex of the triangle. State as many conjectures as you can about the relationships among the points, segments, angles, and triangles.
