Balacheff, N.: 1988, ‘Aspects of proof in pupils' practice of school mathematics’, in D. Pimm (ed.),Mathematics, Teachers and Children, Hodder and Stoughton, London, pp. 216–230.
Bell, A. W.: 1976, ‘A study of pupils' proof-explanations in mathematical situations’,Educational Studies in Mathematics
7, 23–40.
Bittinger, M. L.: 1969, ‘The effect of a unit in mathematical proof on the performance of college mathematics majors in future mathematics courses’,Dissertation Abstracts
29, 3906A. (University Microfilms No. 69-7421)
Bittinger, M. L.: 1982,Logic, Proof, and Sets, Addison-Wesley, Reading, MA.
Dreyfus, T.: 1990, ‘Advanced mathematical thinking’, in P. Nesher and J. Kilpatrick (eds.),Mathematics and Cognition: A Research Synthesis by the International Group for the Psychology of Mathematics Education, Cambridge University Press, Cambridge, pp. 113–134.
Dubinsky, D. and Lewin, P.: 1986, ‘Reflective abstraction and mathematics education: The genetic decomposition of induction and compactness’,Journal of Mathematical Behavior
5, 55–92.
Duval, R.: 1991, ‘Structure du raisonnement d éductif et apprentissage de la démonstration’,Educational Studies in Mathematics
22, 233–261.
Fletcher, P. and Patty, C. W.: 1988,Foundations of Higher Mathematics, PWS-Kent, Boston.
Galbraith, P. L.: 1981, ‘Aspects of proving: A clinical investigation of process’,Educational Studies in Mathematics
12, 1–28.
Glaser, B. G. and Strauss, A. L.: 1967,The Discovery of Grounded Theory, Aldine, New York.
Goldberg, D. J.: 1975, ‘The effects of training in heuristic methods on the ability to write proofs in number theory’,Dissertation Abstracts International
35, 4989B.
Hart, E. W.: 1987, ‘An exploratory study of the proof-writing performance of college students in elementary group theory’,Dissertation Abstracts International
47, 4313A. (University Microfilms No. 8707982)
Laborde, C.: 1990, ‘Language and mathematics’, in P. Nesher and J. Kilpatrick (eds.),Mathematics and Cognition: A Research Synthesis by the International Group for the Psychology of Mathematics Education, Cambridge University Press, Cambridge, pp. 51–69.
Leron, U.: 1985, ‘Heuristic presentations: The role of structuring’,For the Learning of Mathematics
5(3), 7–13.
Lewis, S. M.: 1987, ‘University mathematics students' perception of proof and its relationship to achievement’,Dissertation Abstracts International
47, 3345A. (University Microfilms No. 8629607)
Moore, R. C.: 1990,College Students' Difficulties in Learning to Do Mathematical Proofs, unpublished doctoral dissertation, University of Georgia, Athens.
Morash, R. P.: 1987,Bridge to Abstract Mathematics: Mathematical Proof and Structures, Random House, New York.
Morgan, W. H.: 1972, ‘A study of the abilities of college mathematics students in proof-related logic’,Dissertation Abstracts International
32, 4081B.
Rin, H.: 1983, ‘Linguistic barriers to students' understanding of definitions’, in R. Hershkowitz (ed.),Proceedings of the Seventh International Conference for the Psychology of Mathematics Education, Weizmann Institute of Science, Rehovot, Israel, pp. 295–300.
Schoenfeld, A. H.: 1985,Mathematical Problem Solving, Academic Press, Orlando, FL.
Smith, D., Eggen, M., and St. Andre, R.: 1990,A Transition to Advanced Mathematics (3rd ed., Brooks/Cole, Pacific Grove, CA.
Solow, D.: 1990,How to Read and Do Proofs: An Introduction to Mathematical Thought Processes (2nd ed., Wiley, New York.
Tall, D. and Vinner, S.: 1981, ‘Concept image and concept definition in mathematics with particular reference to limits and continuity’,Educational Studies in Mathematics
12, 151–169.
Vinner, S.: 1983, ‘Concept definition, concept image and the notion of function’,International Journal of Mathematics Education in Science and Technology
14, 293–305.
Vinner, S. and Dreyfus, T.: 1989, ‘Images and definitions for the concept of function’,Journal for Research in Mathematics Education
20, 356–366.