"I can think of two good criteria ... for deciding what
to teach: whether the knowledge gives a sense of delight and whether
it bestows the gift of intellectual travel beyond the information given,
in the sense of containing within it the basis of generalization."
Mathematics is a discipline with the potential for important insights, beautiful symmetries, and unexpected discoveries. All of our students are capable of experiencing this potential for themselves. From 19992002, the Making Mathematics project provided mathematicians as mentors and curricular materials to help teachers and students explore the full richness of our discipline together. The NCTM Principles and Standards list five processes which make it possible for students to work as mathematicians: problem solving, reasoning and proving, communicating, making connections, and creating representations. These skills can be experienced in an integrated fashion through research efforts in which students solve problems and then pose new questions that extend and generalize their initial efforts. The Making Mathematics project supported students through extended explorations and the growth of their mathematical creativity and precision. 
