Collaborating with Undergraduates
Mathematics faculty should consider work with undergraduates in teams where each student carves out their own portion of the project. Give a short introduction to the material and let them start working and generating ideas on their own at the first meeting. Pick an open-ended problem that will allow for several discovery experiences. Encourage the students to generate their own ideas, conjectures, examples, counterexamples, and follow up questions.
The American Institute of Mathematics in Palo Alto, CA organizes REUF (research experiences for undergraduate faculty) workshops. These workshops equip faculty with tools to mentor students in undergraduate research in mathematics and identify good research problems for undergraduates. See www.aimath.org for details.