메뉴 건너뛰기




Volumn 31, Issue 4, 2000, Pages 396-428

A study of proof conceptions in algebra

Author keywords

Algebra; Large scale studies; Proof; Reasoning; Secondary mathematics; Survey study

Indexed keywords


EID: 23044520094     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.2307/749651     Document Type: Article
Times cited : (273)

References (30)
  • 1
    • 0003113837 scopus 로고
    • Aspects of proof in pupils' practice of school mathematics
    • D. Pimm (Ed.), London: Hodder & Stoughton
    • Balacheff, N. (1988). Aspects of proof in pupils' practice of school mathematics. In D. Pimm (Ed.), Mathematics, teachers and children (pp. 216-235). London: Hodder & Stoughton.
    • (1988) Mathematics, Teachers and Children , pp. 216-235
    • Balacheff, N.1
  • 2
    • 24944497220 scopus 로고    scopus 로고
    • Research in mathematics education: A well-documented field?
    • Review of the book International handbook of mathematics education
    • Bauersfeld, H. (1997). Research in mathematics education: A well-documented field? [Review of the book International handbook of mathematics education]. Journal for Research in Mathematics Education, 28, 612-625.
    • (1997) Journal for Research in Mathematics Education , vol.28 , pp. 612-625
    • Bauersfeld, H.1
  • 4
    • 0002122056 scopus 로고
    • A study of pupils' proof-explanations in mathematical situations
    • Bell, A. W. (1976). A study of pupils' proof-explanations in mathematical situations. Educational Studies in Mathematics, 7, 23-40.
    • (1976) Educational Studies in Mathematics , vol.7 , pp. 23-40
    • Bell, A.W.1
  • 5
    • 0000693952 scopus 로고
    • High school geometry students' justification for their views of empirical evidence and mathematical proof
    • Chazan, D. (1993). High school geometry students' justification for their views of empirical evidence and mathematical proof. Educational Studies in Mathematics, 24, 359-387.
    • (1993) Educational Studies in Mathematics , vol.24 , pp. 359-387
    • Chazan, D.1
  • 6
    • 84931930393 scopus 로고
    • Proof practices and constructs of advanced mathematics students
    • Coe, R., & Ruthven, K. (1994). Proof practices and constructs of advanced mathematics students. British Educational Research Journal, 20, 41-53.
    • (1994) British Educational Research Journal , vol.20 , pp. 41-53
    • Coe, R.1    Ruthven, K.2
  • 7
    • 0003969222 scopus 로고
    • London: Her Majesty's Stationery Office
    • Department for Education. (1995). Mathematics in the national curriculum. London: Her Majesty's Stationery Office.
    • (1995) Mathematics in the National Curriculum
  • 8
    • 4544306190 scopus 로고
    • The role and function of proof in mathematics
    • deVilliers, M. D. (1990). The role and function of proof in mathematics. Pythagoras, 24, 7-24.
    • (1990) Pythagoras , vol.24 , pp. 7-24
    • DeVilliers, M.D.1
  • 9
    • 60449089547 scopus 로고    scopus 로고
    • Some remarks about argumentation and mathematical proof and their education implications
    • August. Paper presented Osnabrück, Germany
    • Douek, N. (1998, August). Some remarks about argumentation and mathematical proof and their education implications. Paper presented at the First European Conference of Research in Mathematics Education, Osnabrück, Germany.
    • (1998) First European Conference of Research in Mathematics Education
    • Douek, N.1
  • 10
    • 23944441361 scopus 로고
    • Structure du raisonnement déductif et apprentissage de la démonstration
    • Duval, R. (1991). Structure du raisonnement déductif et apprentissage de la démonstration. Educational Studies in Mathematics, 22, 233-261.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 233-261
    • Duval, R.1
  • 13
    • 0002993328 scopus 로고
    • Challenges to the importance of proof
    • Hanna, G. (1995). Challenges to the importance of proof. For the Learning of Mathematics, 15(3), 42-49.
    • (1995) For the Learning of Mathematics , vol.15 , Issue.3 , pp. 42-49
    • Hanna, G.1
  • 15
    • 0001099510 scopus 로고    scopus 로고
    • Students' proof schemes: Results from exploratory studies
    • A. H. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Providence, RI: American Mathematical Society and Washington, DC: Mathematical Association of America
    • Harel, G., & Sowder, L. (1998). Students' proof schemes: Results from exploratory studies. In A. H. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in collegiate mathematics education. III (pp. 234-283). Providence, RI: American Mathematical Society and Washington, DC: Mathematical Association of America..
    • (1998) Research in Collegiate Mathematics Education. III , pp. 234-283
    • Harel, G.1    Sowder, L.2
  • 16
    • 0012039185 scopus 로고    scopus 로고
    • Justifying and proving in school mathematics
    • London: Institute of Education, University of London
    • Healy, L., & Hoyles, C. (1998). Justifying and proving in school mathematics (Technical Report). London: Institute of Education, University of London.
    • (1998) Technical Report
    • Healy, L.1    Hoyles, C.2
  • 17
    • 0009576203 scopus 로고    scopus 로고
    • The curricular shaping of students' approaches to proof
    • Hoyles, C. (1997). The curricular shaping of students' approaches to proof. For the Learning of Mathematics, 17(1), 7-16.
    • (1997) For the Learning of Mathematics , vol.17 , Issue.1 , pp. 7-16
    • Hoyles, C.1
  • 18
    • 0012112382 scopus 로고    scopus 로고
    • Linking informal argumentation with formal proof through computer-integrated teaching experiments
    • O. Zaslavsky (Ed.), Haifa: Technion-Israel Institute of Technology
    • Hoyles, C., & Healy, L. (1999). Linking informal argumentation with formal proof through computer-integrated teaching experiments. In O. Zaslavsky (Ed.), Proceedings of the 23rd conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 105-112). Haifa: Technion-Israel Institute of Technology.
    • (1999) Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education , vol.3 , pp. 105-112
    • Hoyles, C.1    Healy, L.2
  • 19
    • 84867344842 scopus 로고    scopus 로고
    • Curriculum change and geometrical reasoning
    • P. Boero (Ed.), Dordrecht, The Netherlands: Kluwer. Manuscript in preparation
    • Hoyles, C., & Healy, L. (2000). Curriculum change and geometrical reasoning. In P. Boero (Ed.), Theorems in school. Dordrecht, The Netherlands: Kluwer. Manuscript in preparation.
    • (2000) Theorems in School
    • Hoyles, C.1    Healy, L.2
  • 20
    • 0004256583 scopus 로고
    • London: London Mathematical Society
    • London Mathematical Society, Institute of Mathematics and Its Applications, & The Royal Society. (1995). Tackling the mathematics problem. London: London Mathematical Society.
    • (1995) Tackling the Mathematics Problem
  • 23
    • 0003802175 scopus 로고
    • Princeton, NJ: Princeton University Press
    • Polya, G. (1962). Mathematical discovery. Princeton, NJ: Princeton University Press.
    • (1962) Mathematical Discovery
    • Polya, G.1
  • 24
    • 24944554047 scopus 로고
    • When a truth is seen to be necessary
    • Porteous, K. (1994). When a truth is seen to be necessary. Mathematics in School, 23(5), 2-5.
    • (1994) Mathematics in School , vol.23 , Issue.5 , pp. 2-5
    • Porteous, K.1
  • 25
  • 26
    • 0000092319 scopus 로고    scopus 로고
    • Beyond inductive and deductive reasoning: The search for a sense of knowing
    • Simon, M. A. (1996). Beyond inductive and deductive reasoning: The search for a sense of knowing. Educational Studies in Mathematics, 30, 197-210.
    • (1996) Educational Studies in Mathematics , vol.30 , pp. 197-210
    • Simon, M.A.1
  • 27
    • 4544297757 scopus 로고
    • The nature of mathematical proof
    • Tall, D. (1989). The nature of mathematical proof. Mathematics Teaching, 127, 28-31.
    • (1989) Mathematics Teaching , vol.127 , pp. 28-31
    • Tall, D.1
  • 28
    • 24944560044 scopus 로고    scopus 로고
    • The cognitive development of proof: Is mathematical proof for all or for some?
    • August. Chicago
    • Tall, D. (1998, August). The cognitive development of proof: Is mathematical proof for all or for some? Presentation at the conference of the University of Chicago School Mathematics Project, Chicago.
    • (1998) Conference of the University of Chicago School Mathematics Project
    • Tall, D.1
  • 29
    • 8644233180 scopus 로고
    • On proof and progress in mathematics
    • Thurston, W. P. (1995). On proof and progress in mathematics. For the Learning of Mathematics, 15(1), 29-37.
    • (1995) For the Learning of Mathematics , vol.15 , Issue.1 , pp. 29-37
    • Thurston, W.P.1
  • 30
    • 0011505229 scopus 로고
    • Learning to understand what giving a proof really means
    • van Dormolen, J. (1977). Learning to understand what giving a proof really means. Educational Studies in Mathematics, 8, 27-34.
    • (1977) Educational Studies in Mathematics , vol.8 , pp. 27-34
    • Van Dormolen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.