Readings

Essential Reading

• Donald L. Finkel, Teaching with Your Mouth Shut, Boynton/Cook, 2000.

General

• M. Bickman, Minding American Education: Reclaiming the Tradition of Active Learning, Teachers College Press, 2003. Boyer Commission on Educating Undergraduates in the Research University, Reinventing Undergraduate Education: A Blueprint for America's Research Universities, 1998.
• Seymour Papert, Mindstorms: Children, Computers and Powerful Ideas, Basic Books, 1980.

Inquiry Based Learning

• R.H. Audet and L.K. Jordan, Integrating Inquiry Across the Curriculum, Corwin Press, 2005.
• V.S. Lee (Ed.), Teaching Learning Through Inquiry: A Guidebook for Institutions and Instructors, Stylus Publishing, 2004.

Inquiry Based Mathematics Curriculum Materials

• D.W. Farmer and T.B. Stanford, Knots and Surfaces: A Guide to Discovering Mathematics, American Mathematical Society, 1995.
• D.W. Farmer, Groups and Symmetry: A Guide to Discovering Mathematics, American Mathematical Society, 1996.
• J.F. Fleron, Discovering the Art of the Infinite, 33 page manuscript and 17 page Teacher's Guide, 1998. Available as a PDF document from http://artofmathematics.wsc.ma.edu/infinite/main.html .
• J.F. Fleron, Discovering the Art of Number Theory, 107 page manuscript, 2003. Available as a PDF document from http://artofmathematics.wsc.ma.edu/numbertheory/main.html.
• J.F. Fleron and V. Ecke, "Flatland Revisited: Tools for Navigating Between the Dimensions", manuscript in revision for submission to the NCTM Mathematics Teacher. Available as a PDF document from http://artofmathematics.wsc.ma.edu/geometry/workinprogress/main.html.
• J.F. Fleron, "M?bius Recycled: New Models, Art, and Symbols Inspiring a Metaphor for Mathematics", manuscript in the process of dissection into two separate papers for submission in the NCTM Mathematics Teacher and MAA Math Horizons, 2008. Available as a PDF document from http://artofmathematics.wsc.ma.edu/sculpture/workinprogress/main.html.
• P.K. Hotchkiss, Discovering the Art of Knot Theory, 89 page manuscript, 2008 Available as a PDF document from http://artofmathematics.wsc.ma.edu/knots/main.html.
• H.R. Jacobs, Mathematics: A Human Endeavor, W.H. Freeman and Co., 1994.

Journals

• Journal of Inquiry Based Learning in Mathematics - http://www.jiblm.org/jiblm/

Discovery Learning

• L. Elder and R. Paul, "Critical Thinking: The Art of Socratic Questioning", Journal of Developmental Education, vol. 31, no. 1, Fall 2007, pp. 36 - 37.
• J.K. Hodge, "The Top Ten Things I have Learned about Discovery-Based Teaching", PRIMUS, vol. XVI, no. 2, June 2006, pp. 154 - 161.
• I. Lakatos, Proofs and Refutations: The Logic of Mathematical Discovery, Cambridge University Press, 1976.

Professional Development Materials

• D. Schifter, V. Bastable, S.J. Russell, Developing Mathematical Ideas, a series of casebooks on a variety of topics, aimed at the K-8 age group. Dale Seymour Publications, DMI Materials Website.

Moore Method

• F.B. Jones, "The Moore Method", American Mathematical Monthly, vol. 84, no. 4, April 1977, pp. 273-8.
• W.M. Mahavier, "What is the Moore Method?", PRIMUS, vol. 9, December 1999, pp. 339-354.
• E.E. Moise, "Activity and Motivation in Mathematics," American Mathematical Monthly, vol. 72, no. 4, April 1965, 407-412.
• G.E. Parker, "Getting More from the Moore Method", PRIMUS, vol. 2, September 1990, pp. 235-46.
• L.S. Whyburn, "Student Oriented Teaching - The Moore Method", American Mathematical Monthly, vol. 77, no. 4, April 1970, pp. 407-12.

Problem-Based Learning

• J.A. Amadore, L. Miles, and C.B. Peters, The Practice of Problems-Based Learning: A Guide to Implementing PBL in the College Classroom, Anker Publ. Co., 2006.
• R. Delisle, How to Use Problem-Based Learning in the Classroom, Association for Supervision and Curriculum Development, 1997.
• B.J. Duch, S.E. Groh, and D.E. Allen, The Power of Problem-Based Learning, Stylus Publishing, 2001.

Cooperative Learning

• N. Davidson, Cooperative Learning in Mathematics: A Handbook for Teachers, Pearson, 1989.
• E. Dubinsky, D. Matthews, and B.E. Reynolds, Readings in Cooperative Learning for Undergraduate Mathematics, MAA Notes #44, Mathematical Association of America, 1997.

Mathematics Epistemology

• M.S. Donovan and J.D. Bransford, How People Learn: Mathematics in the Classroom, National Academy Press, 2005.

Mathematics Pedagogy

• J.W.A. Young, The Teaching of Mathematics in the Elementary and the Secondary School, Longmans, Green and Co., 1911. Available as a PDF document online at http://www.archive.org/details/teachingofmathem00younrich.

Epistemology

• A. Koestler, The Act of Creation, Hutchinson, 1966.
• N.M. Lambert and B.L. McCombs, How Students Learn: Reforming Schools Through Learner-Centered Education, American Psychological Association, 1998.
• National Research Council, How People Learn. Brain, Mind, Experience, and School, Expanded Edition, National Academy Press, 2000.
• N. Postman and C. Weingartner, Teaching as a Subversive Activity, Dell Publishing, 1969.
• P. Watzlawick (Ed.), The Invented Reality: How to We Know What We Believe We Know?, W.W. Norton & Co., Inc., 1984.