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Volumn 8, Issue , 2010, Pages 173-180

Obstacles in the learning of two-variable functions through mathematical thinking approach

Author keywords

APOS theory; Mathematical thinking; Multivariable calculus; Students' obstacles; Two variable functions

Indexed keywords


EID: 78651226814     PISSN: 18770428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/j.sbspro.2010.12.024     Document Type: Conference Paper
Times cited : (21)

References (30)
  • 2
    • 43849089239 scopus 로고
    • Understanding the function concept: Some results of interviews with secondary and tertiary students
    • Barnes, M. (1988). 'Understanding the Function Concept: Some Results of Interviews with Secondary and Tertiary Students'. Research on Mathematics Education in Australia, 24-33.
    • (1988) Research on Mathematics Education in Australia , pp. 24-33
    • Barnes, M.1
  • 3
    • 0002573795 scopus 로고
    • Reflective abstraction in advanced mathematical thinking
    • D. O. Tall (ed.), Kluwer: Dordrecht
    • Dubinsky, E. (1991). Reflective Abstraction in Advanced Mathematical Thinking. In D. O. Tall (ed.) Advanced Mathematical Thinking. Kluwer: Dordrecht, 95-123.
    • (1991) Advanced Mathematical Thinking , pp. 95-123
    • Dubinsky, E.1
  • 5
    • 78651253917 scopus 로고    scopus 로고
    • Predicate calculus and the mathematical thinking of students
    • Centre of Discrete mathematics and Theoretical Computer Science, Rutgers University
    • Dubinsky, E., & Yiparaki, O. (1996). Predicate Calculus and the Mathematical Thinking of Students, International Symposium on Teaching Logic and Reasoning in an Illogical World. Centre of Discrete mathematics and Theoretical Computer Science, Rutgers University.
    • (1996) International Symposium on Teaching Logic and Reasoning in an Illogical World
    • Dubinsky, E.1    Yiparaki, O.2
  • 6
    • 0000109387 scopus 로고
    • On the development of a sense for functions
    • G. Harel & E. Dubinsky (eds.), MAA Notes 25,. Washington DC: MAA
    • Eisenberg, T. (1992). 'On the Development of a Sense for Functions'. In G. Harel & E. Dubinsky (eds.), The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes 25, (pp.153-174). Washington DC: MAA.
    • (1992) The Concept of Function: Aspects of Epistemology and Pedagogy , pp. 153-174
    • Eisenberg, T.1
  • 7
    • 17444404993 scopus 로고    scopus 로고
    • Knowledge construction and diverging thinking in elementary and advanced mathematics
    • Gray, E., Pinto, M., Pitta, D., & Tall, D. O. (1999). Knowledge Construction and Diverging Thinking in Elementary and Advanced Mathematics. Educational Studies in Mathematics, 38 (1-3), 111-113.
    • (1999) Educational Studies in Mathematics , vol.38 , Issue.1-3 , pp. 111-113
    • Gray, E.1    Pinto, M.2    Pitta, D.3    Tall, D.O.4
  • 13
    • 84904640919 scopus 로고    scopus 로고
    • Facilitating thinking and communication in mathematics
    • Paper presented at, Mexico, 6 - 13 July
    • Sabariah Baharun, Yudariah Mohd Yusof & Roselainy Abdul Rahman. (2008). Facilitating Thinking and Communication in Mathematics. Paper presented at ICME11th, Mexico, 6 - 13 July.
    • (2008) ICME11th
    • Baharun, S.1    Yusof, Y.M.2    Rahman, R.A.3
  • 14
    • 42549145669 scopus 로고
    • Why calculus cannot be made easy
    • Schwarzenberger, R. L. E. (1980). 'Why Calculus cannot be Made Easy'. Mathematical Gazette, 64, 158-166.
    • (1980) Mathematical Gazette , vol.64 , pp. 158-166
    • Schwarzenberger, R.L.E.1
  • 15
    • 0002335783 scopus 로고
    • Theoretical perspectives for development of the function concept
    • G. Harel & E. Dubinsky (eds.), MAA Notes 25, Washington DC: MAA
    • Sierpińska, A. (1992). 'Theoretical Perspectives for Development of the Function Concept'. In G. Harel & E. Dubinsky (eds.), The Concept of Function: Aspects of Epistemology and Pedagogy, MAA Notes 25, (pp.23-58). Washington DC: MAA.
    • (1992) The Concept of Function: Aspects of Epistemology and Pedagogy , pp. 23-58
    • Sierpińska, A.1
  • 17
    • 33751346461 scopus 로고
    • Concept images, generic organizers, computers & curriculum change
    • Tall, D. O. (1989). Concept Images, Generic Organizers, Computers & Curriculum Change, For the Learning of Mathematics, 9, 3 37-42.
    • (1989) For the Learning of Mathematics , vol.9 , Issue.3 , pp. 37-42
    • Tall, D.O.1
  • 19
    • 33644902774 scopus 로고
    • Current difficulties in the teaching of mathematical analysis at university: An essay review of Victor Bryant Yet another introduction to analysis
    • Tall, D. O. (1992). Current Difficulties in the Teaching of Mathematical Analysis at University: an essay review of Victor Bryant Yet another introduction to analysis, Zentralblatt für Didaktik der Mathematik, 92/2, 37-42.
    • (1992) Zentralblatt für Didaktik der Mathematik , vol.92 , Issue.2 , pp. 37-42
    • Tall, D.O.1
  • 21
    • 0009119382 scopus 로고
    • Mathematical growth in elementary and advanced mathematical thinking
    • plenary address. L. Meira & D. Carraher, (Eds.), Recife, Brazil
    • Tall, D. O. (1995). Mathematical Growth in Elementary and Advanced Mathematical Thinking, plenary address. In L. Meira & D. Carraher, (Eds.), Proceedings of PME 19, Recife, Brazil, I, 61-75.
    • (1995) Proceedings of PME 19 , vol.1 , pp. 61-75
    • Tall, D.O.1
  • 22
    • 0013500969 scopus 로고    scopus 로고
    • Functions and calculus
    • A. J. Bishop et al (Eds.), Dordrecht: Kluwer
    • Tall, D. O. (1997). Functions and Calculus. In A. J. Bishop et al (Eds.), International Handbook of Mathematics Education, 289-325, Dordrecht: Kluwer.
    • (1997) International Handbook of Mathematics Education , pp. 289-325
    • Tall, D.O.1
  • 23
    • 78651233581 scopus 로고    scopus 로고
    • Information technology and mathematics education: Enthusiasms, possibilities & realities
    • C. Alsina, J. M. Alvarez, M. Niss, A. Perez, L. Rico, A. Sfard (Eds), Seville: SAEM Thales
    • Tall, D. O. (1998). Information Technology and Mathematics Education: Enthusiasms, Possibilities & Realities. In C. Alsina, J. M. Alvarez, M. Niss, A. Perez, L. Rico, A. Sfard (Eds), Proceedings of the 8th International Congress on Mathematical Education, Seville: SAEM Thales, 65-82.
    • (1998) Proceedings of the 8th International Congress on Mathematical Education , pp. 65-82
    • Tall, D.O.1
  • 24
    • 34548742077 scopus 로고    scopus 로고
    • Using technology to support an embodied approach to learning concepts in mathematics
    • Universidade do Estado do Rio de Janeiro, February 21-3, 2002
    • Tall, D. O. (2003). Using Technology to Support an Embodied Approach to Learning Concepts in Mathematics, First Coloquio de Historia e Tecnologia no Ensino de Matemática, at Universidade do Estado do Rio de Janeiro, February 21-3, 2002. pp. 1-28.
    • (2003) First Coloquio de Historia e Tecnologia No Ensino de Matemática , pp. 1-28
    • Tall, D.O.1
  • 27
    • 84983353459 scopus 로고    scopus 로고
    • Geometrical representations in the llearning of two-variable functions
    • Published online, 24 June
    • Trigueros. M., Martínez-Planell. R. (2009). Geometrical Representations in the lLearning of Two-variable Functions. Educ Stud Math, Published online, 24 June.
    • (2009) Educ Stud Math
    • Trigueros., M.1    Martínez-Planell, R.2
  • 29
    • 78651234343 scopus 로고    scopus 로고
    • Teaching engineering students to think mathematically
    • Paper presented at the, Kuala Lumpur, 14-15 December
    • Yudariah Mohammad Yusof & Roselainy Abd. Rahman. (2004). Teaching Engineering Students to Think Mathematically. Paper presented at the Conference on Engineering Education, Kuala Lumpur, 14-15 December.
    • (2004) Conference on Engineering Education
    • Yusof, Y.M.1    Rahman, R.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.