Crystalline concepts in long-term mathematical invention and discovery

For the Learning of Mathematics

Volumn 31, Issue 1, 2011, Pages 3-8

  Tall, David ^a  

^a NONE

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Indexed keywords

EID: 84859270702     PISSN: 02280671     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

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3. Bruner, J. S. (1966) Toward a Theory of Instruction. New York, NY: Norton.
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10. Gutiérrez, A., Jaime, A. & Fortuny, J. (1991) An alternative paradigm to evaluate the acquisition of the Van Hiele levels. Journal for Research in Mathematics Education 22(3), 237-251.
11. Jaffe, A. & Quinn, F. (1993) 'Theoretical mathematics': toward a cultural synthesis of mathematics and theoretical physics. Bulletin of the American Mathematical Society 29(1), 1-13.
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15. Piaget, J. (1970) Piaget's theory. In P. H. Mussen (Ed.) Carmichael's Handbook of Child Psychology, pp. 703-732. New York, NY: Wiley.
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20. Tall, D. O. (2010) A sensible approach to the calculus. Plenary address to the Fourth National and International Meeting on the Teaching of Calculus, 23-25 September, Puebla, Mexico. Text available at http://www.warwick.ac.uk/ staff/David.Tall/pdfs/dot2010a-sensible-calculus.pdf
21. Tall, D. O., Yevdokimov, O., Koichu, B., Whiteley, W., Kondratieva, M. & Cheng, Y-H. (to appear). The cognitive development of proof. ICME 19: Proof and Proving in Mathematics Education.
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