**Arcavi, Kessel, Meira, Smith (1998)**, *Teaching Mathematical Problem
Solving: An Analysis of an Emergent Classroom Community*, Research in Collegiate
Mathematics Education, III, CBMS series on Issues in Mathematics Education,
vol. 7. AMS, 1-70.

**Chazan, D.** **(2000)**, *Formulas in Mathematics and Teaching, Dynamics
of the High School Algebra Classroom*, Teachers College Press, New York.

**Conway, J., Guy, R. (1996)**, __The Book of Numbers__, Copernicus,
New York.

**Descartes, R**. **(1925)**, The Geometry of Renee Descartes: translated
by Smith and Latham, Open Court Publishing, 1925. — Translation
of Descartes's geometry.

**Hutchings, P. (1998)**, *Introduction*, in __The Course Portfolio,
How Faculty Can Examine Their Teaching to Advance Practice and Improve Student
Learning__, Hutchings (Ed.), American Association of Higher Education, Washington,
pp.1-5.

**Hutchings, P. (2000)**, *Approaching the Scholarship of Teaching and
Learning*, Opening Lines - Approaches to the Scholarship of Teaching and
Learning, American Association of Higher Education, Washington.

**Klein, F.** **(1939)**, *Elementary Mathematics from the Advanced
Standpoint: (vol. 1 & 2)*: Dover, 1939 (translation from 1907,1908).
— These are the translated lecture notes of Klein for his capstone.
They cover much more than the material from my course. They also provide a nice
way of thinking about the process of bringing mathematics to the prospective
teachers.

**Lakatos, I. (1976)**, *Proofs and Refutations: the logic of mathematical
discovery, *Cambridge, 1976.

**Lampert, M.** **(1990)**, *When the problem is not the question and
the solution is not the answer: mathematical knowing and teaching*, American
Educational Research Journal, Vol. 27, no. 1.

**McLeod, D. (1985)**, *Affective Issues in Research on Teaching Mathematical
Problem Solving*, in __Teaching and Learning Mathematical Problem Solving
: Multiple Research Perspectives__, Silver (Ed.), Laurence Erlbaum Assc.,
Hillsdale NJ, pp. 267-279.

**Persell, C. (2001), **Personal communication of Carnegie project report
2001.

**Polya, G. (1957 )**, __How to Solve It__, Doubleday, New York.

**Rudin, W.** (?), Principles of Real Analysis,

**Schifter, D.** **(1996)**, *Constructing meaning for the rhetoric
of mathematics education reform, i*n __What's happening in Math Class?__,

**Schoenfeld, A.** **(1985)**, *Mathematical Problem Solving*, Academic
Press.

**Schoenfeld, A.** **(1983)**; Problem Solving in the Mathematics Curriculum:
Schoenfeld, A. MAA Notes 1983. - Schoenfeld includes a bibliography and a lot
of commentary and suggestions. A good read for the comments and quotes about
how mathematics is taught/understood.

**Shulman, L. (1986)**, *Those who understand: knowledge growth in teaching*,
Educational Researcher, 15(2), 4-14.

**Shulman, L. (1985)**, Insert title, in __Teaching and Learning Mathematical
Problem Solving: Multiple Research Perspectives__, Silver (Ed.), Laurence
Erlbaum Assc., Hillsdale NJ, pp. 439-450.

**Swetz, et al. (1995)**, __Learn From the Masters__, MAA, Washington.
- This book contains articles on using history in teaching of mathematics.

**Yakel, E., Cobb, P. (1996)**, Sociomathematical Norms, Argumentation,
and Autonomy in Mathematics, Journal for Research in Mathematics Education,
v. 27 (4), pp. 458-477.