
Reference


A.P.U. (1982) Mathematical development. Primary and Secondary Survey Reports


Burger, W.F., Shaughnessy, J.M. (1986) Characterizing the van Hiele levels of development in geometry. Journal for Research in Mathematics Education, 17, 3148


Burger, W.F. (1982) Using the Van Hiele model to describe reasoning processes in Geometry. u: American Educational Research Association Meeting


Cemen, P.B. (1987) The nature of mathematics anxiety. Stillwater, OK: Oklahoma State University, Report br. SE 048 689

2

Clements, D.H., Battista, M.T. (1992) Geometry and spatial understanding. u: Dougles, Grouws A. [ur.] Handbook of research mathematics teaching and learning, New York: McMillan Publishing Company

1

Collins, A., Brown, J.S., Newman, S.E. (1989) Cognitive apprenticeship: Teaching the crafts of reading, writing and mathematics. u: Resnick J.B. [ur.] Knowing, learning and instruction: Essays in honor of Robert Glaser, Hillsdale, NJ, itd: Erlbaum, str. 453494

1

Collins, A., Brown, J.S., Holum, A. (1991) Cognitive apprenticeship: Making thinking visible. American Educator, 15, 3, 611, 3846

1

Davis, P.J., Hersch, R. (1981) The mathematical experience. Harmondsworth, itd: Penguin Books

5

Freudenthal, H. (1973) Mathematics as an educational task. Dordrecht, itd: Reidel Publishing


Godino, J.D., Recio, A.M. (1997) Meaning of proofs in mathematics education. u: Pekhonen Erkki [ur.] Conference of the International Group for the Psychology of Mathematics Education (Twentyfirst), Lahti, Finland, vol. 2, str. 313320


Hadas, N., Hershkowitz, R., Schwarz, B. (2000) The role of contradiction and uncertainty in promoting the need to prove in Dynamic Geometry environment. Educational Studies in Mathematics, 44, 127150


Hanna, G. (2000) Proof, explanation and exploration: An overview. Educational Studies in Mathematics, 44, 523


Hart, K. (1981) Children's understanding of mathematics. John Univray U.K, 1116


Healy, L., Hoyles, C. (1998) Justifying and proving in school mathematics: Summary of the results from a survey of the proof conceptions of students in the UK. London: Institute of Education, Research Report Mathematical Sciences


Heath, T.L. (1921) A history of Greek mathematics. Oxford: The Clarendon Press, HMSO, vol. I


Hoffer, A. (1981) Geometry is more than proof. Mathematics Teacher, 74, 1118


Hoffer, A. (1983) Van Hiele based research. u: Lesh R.& Landau M. [ur.] Acquisition of mathematics concepts and processes, New York: Academic Press, str. 205228


Leron, U. (1985) A direct approach to indirect proofs. Educational Studies in Mathematics, 16, 321325


Mammana, C., Villiani, V. (1998) Geometry and geometry teaching through ages. u: Mammana C., & Villiani V. [ur.] Perspectives on the teaching of geometry for the 21st Century, London: Kluwer Academic Publishers


Mariotti, M.A. (1997) Justifying and proving in geometry: The mediation of a microworld. Preuve Proof Prueda Web Newsletter, Nov/Dec


Martin, W.G., Harel, G. (1989) Proof frames of preservice elementary teachers. Journal for Research in Mathematics Education, 20 (1), 4151


Mason, M.M. (1997) The van Hiele model of geometric understanding and mathematically talented students. Journal for the Education of the Gifted, 21, 3953

7

National Council of Teachers of Mathematics (2000) Principles and standards for school mathematics. Reston VA

5

Piaget, J. (1928) Judgement and reasoning in the child. New York: Harcourt, Brace, & Co


Pyshkalo, A.M. (1968) Geometry in grades 14: Problems in the formation of geometric conceptions in pupils in the primary grades. Moscow: Prosresticheuive Publishing House


Recio, A.M., Godino, J.D. (2001) Institutional and personal meaning of proof. Educational Studies in Mathematics, 48, 8399


Selden, A., Selden, J. (2003) Validations of proofs considered as texts: Can undergraduates tell whether an argument proves a theorem?. Journal for Research in Mathematics Education, 34 (1), 436


Selden, J., Selden, A. (1995) Unpacking the logic of mathematical statements. Educational Studies in Mathematics, 29, 123151


Senk, S.L. (1985) How well do students write geometry proofs. Mathematics Teacher, 78, 448456

1

Senk, S.L. (1989) Van Hiele levels and achievement in writing geometry proofs. Journal for Research in Mathematics Education, 20, 309321


Tall, D. (1989) The nature of mathematical proof. Mathematics Teaching, 127, 2832


Usiskin, Z. (1982) Van Hiele levels and achievement in secondary school geometry. Columbus, OH: ERIC, CDASSG Project

1

van Hiele, P.M. (1959) La pense de l'enfant et la geometrie. Bulletin de l'Association des Professeurs Math'ematiques de l'Enseignement Public, str. 198205

4

van Hiele, P.M. (1986) Structure and insight: A theory of mathematics education. New York: Academic Press, Inc


Weber, K. (2003) Students' difficulties with proof. u: Teaching and Learning: Research Sampler Mathematical Association of Americas MAA, Retrieved June 23, 2006, from www.maa.org/t and l/sampler/rs 8. htm



