Ball, D.L.: 1988,*Knowledge and reasoning in mathematical pedagogy: Examining what prospective teachers bring with them to teacher education*, unpublished doctoral dissertation, Michigan State University, East Lansing, MI.

Ball, D.L.: 1990, ‘Examining the subject-matter knowledge of prospective mathematics teachers’,*Journal for Research in Mathematics Education*
**21**(2), 132–143.

Ball, D.L.: 1991, ‘Research on teaching mathematics: Making subject matter knowledge part of the equation’, in J. Brophy (ed.),*Advances in research on teaching*, Vol. 2, JAI Press Inc., Greenwich, CT, pp. 1–48.

Begle, E.G.: 1979,*Critical Variables in Mathematics Education*, Mathematics Association of America and the National Council of Teachers of Mathematics, WA.

Brophy, J. and Good, T.: 1986, ‘Teacher behavior and student achievement’, in M.C. Wittrock (ed.),*Handbook of Research on Teaching* (3rd ed.), Macmillan, NY, pp. 328–375.

Even, R.: 1989, ‘Prospective secondary teachers' knowledge and understanding about mathematical functions (Doctoral dissertation, Michigan State University, 1989)’,*Dissertation Abstracts International*
**50**, 642A.

Even, R.: 1990, ‘Subject matter knowledge for teaching and the case of functions’,*Educational Studies in Mathematics*
**21**, 521–544.

Even, R.: 1993, ‘Subject-matter knowledge and pedagogical content knowledge: prospective secondary teachers and the function concept’,*Journal for Research in Mathematics Education*
**24**(2), 94–116.

Even, R. and Markovits, Z.: 1993, ‘Teachers' pedagogical content knowledge of functions: characterization and applications’,*Journal of Structural Learning*
**12**(1), 35–51.

Freudenthal, H.: 1983,*Didactical Phenomenology of Mathematical Structures*, Dordrecht: D. Reidel Publishing Company.

Gage, N.: 1978,*The Scientific Basis of the Art of Teaching*, Teachers College Press, Columbia University, NY.

Hershkowitz, R., Bruckheimer, M. and Vinner, S.: 1987, ‘Activities for teachers based on cognitive research’, in M.M. Lindquist and A.P. Shulte (eds.),*Learning and Teaching Geometry, K-12, 1987 Yearbook*, National Council of Teachers of Mathematics, Reston, VA, pp. 222–235.

Hiebert, J. (Ed.): 1986,*Conceptual and Procedural Knowledge: The Case of Mathematics*, Lawrence Erlbaum Associates, Inc., NJ.

Kieran, C.: 1992, ‘The learning and teaching of school algebra’, in D.A. Grouws (ed.),*Handbook of Research in the Teaching and Learning of Mathematics*, Macmillan, NY, pp. 390–419.

Leinhardt, G.: 1988, ‘Expertise in instructional lessons: An example from fractions’, in D.A. Grouws, T.J. Cooney, and D. Jones (eds.),*Effective Mathematics Teaching*, National Council of Teachers of Mathematics, Reston, VA, pp. 47–66.

Leinhardt, G., Putnam, R.T., Stein, M.K., and Baxter, J.: 1991, ‘Where subject knowledge matters’, in J.E. Brophy (ed.),*Advances in Research on Teaching*, Vol. 2, JAI Press, Greenwich, CT, pp. 87–113.

Leinhardt, G. and Smith, D.A.: 1985, ‘Expertise in mathematics instruction: Subject matter knowledge’,*Journal of Educational Psychology*
**77**, 247–271.

Maher, C.A. and Davis, R.B.: 1990, ‘Teachers' learning: Building representations of children's meanings’, in R.B. Davis, C.A. Maher, and N. Noddings (eds.),*Constructivist Views on the Teaching and Learning of Mathematics* (Journal for Research in Mathematics Education: Monograph Number 4, pp. 7–18), National Council of Teachers of Mathematics, Reston, VA.

Nesher, P.: 1986, ‘Are mathematical understanding and algorithmic performance related?,*For the Learning of Mathematics*
**6**(3), 2–9.

Peterson, P.L., Fennema, E., and Carpenter, T.P.: 1991, ‘Teachers' knowledge of students' mathematics problem solving knowledge’, in J.E. Brophy (ed.),*Advances in Research on Teaching: Vol. 2. Teachers' Subject Matter Knowledge*, JAI Press, Greenwich, CT, pp. 87–113.

Schoenfeld, A., Smith, J., and Arcavi, A.: 1993, ‘Learning — The microgenetic analysis of one student's evolving understanding of a complex subject-matter domain’, in R. Glaser (ed.),*Advances in Instructional Psychology* (Vol. 4), Erlbaum, Hillsdale, NJ, pp. 55–175.

Shulman, L.S.: 1986, ‘Those who understand: Knowledge growth in teaching’,*Educational Researcher*
**15**(2), 4–14.

Skemp, R.R.: 1976, ‘Relational understanding and instrumental understanding’,*Mathematics Teaching*
**77**.

Strauss, S. and Shilony, T.: (in press), ‘Teachers' models of children's minds and learning’, in I. Hirschfeld and S.A. Gelman (eds.),*Mapping in Mind: Domain Specificity in Cognition and Culture*, Cambridge University Press, Cambridge.

Tamir, P.: 1987,*Subject Matter and Related Pedagogical Knowledge in Teacher Education*. Paper presented at the annual meeting of the American Association for Educational Research, Washington, DC.

Tirosh, D.: 1993, ‘Teachers' understanding of undefined mathematical expressions’,*Substratum: Temas Fundamentales en Psicologia Education*
**1**, 61–86.

Tirosh, D. and Graeber, A.: 1990, ‘Inconsistencies in preservice teachers' beliefs about multiplication and division’,*Focus on Learning Problems in Mathematics*
**12**, 65–74.

Wilson, S.M., Shulman, L.S., and Richert, A.: 1987, ‘“150 ways of knowing”: Representations of knowledge in teaching’, in J. Calderhead (ed.),*Exploring Teacher Thinking*, Holt, Rinehart, and Winston, Sussex, pp. 104–124.