Readings

Note: Project PRIME has developed into the larger "Discovering the Art of Mathematics" project. The resources of Project PRIME remain as they were circa 2009. We encourage you to visit "Discovering the Art of Mathematics" for the continuation of the work begun by this project.

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, "Möbius 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.

© The material which makes up this Internet site is copyright 2009 by Julian Fleron, Phil Hotchkiss, Volker Ecke, Christine von Renesse.