On practical and theoretical thinking and other false dichotomies in mathematics education

Activity and Sign: Grounding Mathematics Education

Volumn , Issue , 2005, Pages 117-135

  Sierpinska, Anna ^a  

^a Dept of Electrical and Computer Engineering   (Canada)

Author keywords

epistemological obstacles; manipulatives; mathematics; practical thinking; Pythagoras theorem; teaching; theoretical thinking

Indexed keywords

EID: 79960328507     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-24270-8_11     Document Type: Chapter

References (12)

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2. Chevallard, Y. (1999). L'analyse des pratiques enseignantes en théorie anthropologique du didactique. Recherches en Didactique des Mathématiques 19.2, 221-266.
3. Otte, M. (1990a). Arithmetic and geometry: Some remarks on the concept of complementarity. Studies in Philosophy and Education 10, 37-62.
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5. Sierpinska, A. (1996). The diachronic dimension in research on understanding in mathematics-usefulness and limitations of the concept of epistemological obstacle. In H. N. Jahnke, N. Knoche, M. Otte (Eds.), History of Mathematics and Education: Ideas and Experiences. Göttingen: Vandenhoek & Ruprecht, 289-318.
6. Sierpinska, A., Defence, A., Khatcherian, T., Saldanha, L. (1997). A propos de trois modes de raisonnement en algèbre linéaire. In J.-L. Dorier (Ed.), L'Enseignement de l'Algèbre Linéaire en Question. Grenoble: La Pensée Sauvage éditions, 249-268.
7. Sierpinska, A., Nnadozie, A. A. & Oktaç, A. (2002). A Study of Relationships between Theoretical Thinking and High Achievement in Linear Algebra. Concordia University: Manuscript.
8. th conference of the International Group for the Psychology of Mathematics Education 4. Utrecht, 177-184.
9. Sierpinska, A. (2000). On some aspects of students' thinking in linear algebra. In J.-L. Dorier (Ed.), On the Teaching of Linear Algebra. Dortrecht: Kluwer Academic Publishers, 209-246.
10. Steinbring, H. (1991). The concept of chance in everyday teaching: Aspects of a social epistemology of mathematical knowledge. Educational Studies in Mathematics 22, 503-522.
11. Steinbring, H. (1993). Problem in the development of mathematical knowledge in the classroom: the case of a calculus lesson. For the Learning of Mathematics 13.3, 37-50.
12. Vygotsky, L. S. (1987). The Collected Works of L. S. Vygotsky 1. Problems of General Psychology, including the volume Thinking and Speech. New York and London: Plenum Press.