• Schoenfeld, A. (1987). Cognitive Science and Mathematics Education: An Overview, In Cognitive Science and Mathematics Education, 1-31.
• Schoenfeld, A. (2000). Purposes and Methods of Research in Mathematics Education. Notices of the American Mathematical Society, 47, 641-649.
• Vinner, S. (1997). The Pseudo-Conceptual and the Pseudo-Analytical Thought Processes in Mathematics Learning. Research Studies in Mathematics, 34, 97-129.

Discussion Questions

• Greeno, J. (1991). Number Sense as Situated Knowing in a Conceptual Domain. Journal for Research in Mathematics Education, 22, 170-218.
• Piaget, J. (1970). Structuralism. New York: Basic Books, Inc., pp. 3-36, pp. 52-73, & pp.136-143. 

Discussion Questions

• Oehrtman, M. (2002). Collapsing Dimensions, Physical Limitation, and other Student Metaphors for Limit Concepts: An Instrumentalist Investigation into Calculus Students’ Spontaneous Reasoning, Doctoral Dissertation, The University of Texas, Austin, TX. (selected excerpts)
  
• Strauss, A. & Corbin, J. (1990). Basics of Qualitative Research: Grounded Theory Procedures and Techniques. Sage Publications, Newsbury Park, California, Part I, pp. 1-54.

Discussion Questions

• Sfard, A. (1991). On the Dual Nature of Mathematical Conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22, 1-36.
• Dubinsky, E. & Harel G. (1992). The Nature of the Process Conception of Function. The Concept of Function, Aspects of Epistemology and Pedagogy, MAA Notes, Vol. 25, 85-106

Discussion Questions

• Carlson, M. (1998). A Cross-Sectional Investigation of the Development of the Function Concept, Research in Collegiate Mathematics Education III, Conference Board of the Mathematical Sciences, Issues in Mathematics Education Volume 7; American Mathematical Society, 114-163.
• Sierpinska, A. (1992). On Understanding the Notion of Function, The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes, Vol. 25, 25-58.
• Dubinsky, E. (1991). Reflective Abstraction in Advanced Mathematical Thinking. In D. Tall (Ed.), Advanced mathematical Thinking. (pp. 95-126). Boston: Kluwer.

Discussion Questions

• Vinner S. & Dreyfus, T. (1989). Images and Definitions for the Concept of Function. Journal for Research in Mathematics Education, 20, 356-366.
• Monk, S. (1992). Students’ Understanding of a Function Given by a Physical Model: The concept of function, aspects of epistemology and pedagogy, The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes, 25, 175-194.
• Monk, S. & Nemirovsky, R. (1994). The Case of Dan: Student Construction of a Functional Situation Through Visual Attributes, CBMS Issues in Mathematics Education, 4, 139-168.

Discussion Questions

• Sfard, A. (1992). Operational Origins of Mathematical Objects and the Quandary of Reification - The Case of Function. In E. Dubinsky & G. Harel (Eds.), MAA notes: Vol 25. The concept of function: Aspects of epistemology and pedagogy, Washington, DC: Mathematical Association of America, 59-84.
• Carlson, M., Jacobs, S., Coe, E., & Hsu, E. (under review). Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a Study (25 pages).

Discussion Questions

• Pea, R. (1985). Beyond Amplification: Using the Computer to Reorganize Mental Functioning. Educational Psychologist, 20, 167-182.
• Skinner, B. F. (1968). The Technology of Teaching, Englewood Cliffs: Prentice Hall, 1-57.
• Strauss & Corbin, Part II intro and Chapter 5, pp. 55-72.

Discussion Questions

• Hickman, L. (1990). Knowing as a Technological Artifact. In John Dewey’s Pragmatic Technology, Bloomington: Indiana University Press, 17-59.
• Strauss & Corbin, Chapter 6, pp. 73-86.

Discussion Questions

• Asiala, M., Brown, A., Devries, D., Dubinsky, E., Mathews, D., & Thomas, A. (1996). A Framework for Research and Curriculum Development in Undergraduate Mathematics Education, CBMS Issues in Mathematics Education, Vol. 6, 1-32.
• Strauss & Corbin, Chapter 7, pp. 87-100.
• Literature review due

Discussion Questions

• Schoenfeld, A. (1992). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning, New York: Macmillan, 334-370.
• Carlson, M. (1999). The Mathematical Behavior of Six Successful Mathematics Graduate Students: Influences Leading to Mathematical Success, Educational Studies in Mathematics, Kluwer Academic Publishers, The Netherlands, Volume 40, 237-258.

Discussion Questions

• Protocol pilot analysis due
• Research proposal presentations (Bring four copies of a readable and self explanatory outline of your talk.) (Details)
  

• Research proposal peer critique

• Discussions of any articles or issues from the semester
  
• Research proposal due (Details)
• Reaction paper due

• Final Exam from 2:40-4:30pm in PSA 303