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Volumn 65, Issue 1, 2007, Pages 49-76

Irrational numbers: The gap between formal and intuitive knowledge

Author keywords

Dimensions of knowledge; Intuitive knowledge; Irrational numbers; Prospective secondary teachers

Indexed keywords


EID: 33846841066     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1007/s10649-006-9041-5     Document Type: Review
Times cited : (34)

References (15)
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    • Arcavi, A.1    Bruckheimer, M.2    Ben-Zvi, R.3
  • 2
    • 0002573795 scopus 로고
    • Reflective abstraction in advanced mathematical thinking
    • D. Tall ed, Kluwer Academic Publishers, Boston, MA, pp
    • Dubinsky, E.: 1991, 'Reflective abstraction in advanced mathematical thinking', in D. Tall (ed.). Advanced Mathematical Thinking, Kluwer Academic Publishers, Boston, MA, pp. 95-123.
    • (1991) Advanced Mathematical Thinking , pp. 95-123
    • Dubinsky, E.1
  • 4
    • 0003419686 scopus 로고
    • The concept of irrational number in high-school students and prospective teachers
    • Fischbein, E., Jehiam, R. and Cohen, C.: 1995, The concept of irrational number in high-school students and prospective teachers', Educational Studies in Mathematics 29, 29-44.
    • (1995) Educational Studies in Mathematics , vol.29 , pp. 29-44
    • Fischbein, E.1    Jehiam, R.2    Cohen, C.3
  • 5
    • 0040226925 scopus 로고
    • The clinical interview in psychological research on mathematical thinking: Aims, rationales, techniques
    • Ginsburg, H.P.: 1981, The clinical interview in psychological research on mathematical thinking: Aims, rationales, techniques', For the Learning of Mathematics 1(3), 4-11.
    • (1981) For the Learning of Mathematics , vol.1 , Issue.3 , pp. 4-11
    • Ginsburg, H.P.1
  • 7
    • 0039258262 scopus 로고
    • Cognitive obstacles encountered in the learning of Algebra
    • C. Kieran and S. Wagner eds, Lawrence Erlbaum, Hillsdale, NJ
    • Herscovics, N.: 1989, 'Cognitive obstacles encountered in the learning of Algebra', in C. Kieran and S. Wagner (eds.), Research Issues in the Learning and Teaching of Algebra, Lawrence Erlbaum, Hillsdale, NJ.
    • (1989) Research Issues in the Learning and Teaching of Algebra
    • Herscovics, N.1
  • 10
    • 0002546637 scopus 로고
    • On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
    • Sfard, A.: 1991, 'On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin', Educational Studies in Mathematics 22, 1-36.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 1-36
    • Sfard, A.1
  • 11
    • 52549119932 scopus 로고    scopus 로고
    • Natural and formal infinities
    • Tall, D.O.: 2001, 'Natural and formal infinities', Educational Studies in Mathematics 48(2-3), 199-238.
    • (2001) Educational Studies in Mathematics , vol.48 , Issue.2-3 , pp. 199-238
    • Tall, D.O.1
  • 13
    • 0040092081 scopus 로고    scopus 로고
    • Interviewing in mathematics education research: Choosing the questions
    • Zazkis, R. and Hazzan, O.: 1998, 'Interviewing in mathematics education research: Choosing the questions', Journal of Mathematical Behavior 17(4), 429-239.
    • (1998) Journal of Mathematical Behavior , vol.17 , Issue.4 , pp. 429-239
    • Zazkis, R.1    Hazzan, O.2
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.