IBL Teaching Bibliography

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  • S. Chapin, C. O’Connor, and N. C. Anderson, Classroom Discussions: Using Math Talk to Help Students Learn, Math Solutions, 2009.
  • D. Finkel, Teaching with Your Mouth Shut, Heinemann, 2000.
  • I. Lakatos, Proofs and Refutations: The Logic of Mathematical Discovery, Cambridge University Press, 1976.
  • P. Lockhart, A Mathematician’s Lament–How Schools Cheat Us Out of Our Most Fascinating And Imaginative Art Form, Bellevue Literary Press, New York, 2009; an earlier, shorter version, written in 2002, is available online from the Mathematical Association of America at http://www.maa.org/external_archive/devlin/LockhartsLament.pdf

Our Does IBl work? page gives some links to studies that address the efficacy of IBL.

Recent Writings about IBL

PRIMUS Special Issue: "Illuminating Inquiry"

Taylor & Francis, the owner and publisher of PRIMUS, has graciously agreed to make this entire special issue freely accessible for two months: 1/4/17 - 3/4/17. (http://www.tandfonline.com/toc/upri20/current) Please read and share! To pique your interest, here is the Table of Contents for the special issue:

  • It's All About Inquiry: A Cross-Disciplinary Conversation About Shared Foundations for Teaching
  • Teaching Inquiry with Linked Classes and Learning Communities
  • Teaching Inquiry to High School Teachers Through the Use of Mathematics Action Research Projects
  • Reflections on Transformative Experiences with Mathematical Inquiry: The Case of Christine
  • The Development of Teacher Knowledge in Support of Student Mathematical Inquiry
  • Constructing an Inquiry Orientation from a Learning Theory Perspective: Democratizing Access through Task Design
  • An Example of Inquiry in Linear Algebra: The Roles of Symbolizing and Brokering
  • Student Perceptions of a Mathematics Major for Prospective Elementary Teachers with and Inquiry-Based Philosophy
  • Teaching Inquiry With a Lens Toward Creativity
  • Implementing Inquiry: Ask Questions to Encourage Questions Asked
  • Turning Routine Exercises into Activities that Teach Inquiry: A Practical Guide
  • Teaching Students to Formulate Questions
  • Puzzle Pedagogy: A Use of Riddles in Mathematics Education
  • Encouraging Example Generation: A Teaching Experiment in First-Semester Calculus
  • To Each Their Own: Students Asking Questions Through Individualized Projects
  • Acting Like a Mathematician: A Project to Encourage Inquiry Early in the Math Major
  • Using Games to Engage Students in Inquiry
  • Teaching the Inquiry Process Through Experimental Mathematics
  • A Combinatorics Course with One Goals: Authentic Mathematical Inquiry

Further Resources

  • 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.
  • American Mathematical Association of Two-Year Colleges (AMATYC), Crossroads in Mathematics: Standards for Introductory College Mathematics before Calculus, September, 2005.
  • R.H. Audet and L.K. Jordan, Integrating Inquiry Across the Curriculum, Corwin Press, 2005.
  • 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.
  • N. Davidson, Cooperative Learning in Mathematics: A Handbook for Teachers, Pearson, 1989.
  • R. Delisle, How to Use Problem-Based Learning in the Classroom, Association for Supervision and Curriculum Development, 1997.
  • E. Dubinsky, D. Matthews, and B.E. Reynolds, Readings in Cooperative Learning for Undergraduate Mathematics, MAA Notes #44, Mathematical Association of America, 1997.
  • B.J. Duch, S.E. Groh, and D.E. Allen, The Power of Problem-Based Learning, Stylus Publishing, 2001.
  • V. Ecke and C. von Renesse, Inquiry-based Learning and the Art of Mathematical Discourse, to appear in PRIMUS, Special Edition on "Inquiry-Based Learning in Mathematics for Liberal Arts", 2014.
  • 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.
  • H. Jacobs, Mathematics: A Human Endeavor, W. H. Freeman, 1994 (3rd ed.).
  • V.S. Lee (Ed.), Teaching Learning Through Inquiry: A Guidebook for Institutions and Instructors, Stylus Publishing, 2004.
  • A. Koestler, The Act of Creation, Hutchinson, 1966.
  • N. Postman and C. Weingartner, Teaching as a Subversive Activity, Dell Publishing, 1969.