One girl says that maybe they missed some. A few students begin searching for other combinations. After a few moments, a student says she thinks it has something to do with the fact that an odd number times an odd number equals an odd number, but she's not sure what that tells her. In the third row, a few students are leaning together, talking quietly. The teacher expects students to look for mathematical evidence.
Students make conjectures publicly and try to convince themselves and one another of their validity.
The teacher does not directly evaluate the correctness of students' comments. Instead she interprets the comment as a conjecture and expects the students to examine its validity. She then extends the problem, trying to foster students' habits of mathematical inquiry. Mrs. Fondant asks why it would matter. 3.2 Ms. Chavez has rolled the math department computer into her class for the morning and has connected it to her LCD viewer.