International Electronic Journal of Mathematics Education

Do You Want Me to Do It with Probability or with My Normal Thinking? Horizontal and Vertical Views on the Formation of Stochastic Conceptions
  • Article Type: Research Article
  • International Electronic Journal of Mathematics Education, 2008 - Volume 3 Issue 1, pp. 1-23
  • Published Online: 04 Apr 2008
  • Article Views: 480 | Article Download: 451
  • Open Access Full Text (PDF)
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Kotsopoulos D, Lavigne S. Do You Want Me to Do It with Probability or with My Normal Thinking? Horizontal and Vertical Views on the Formation of Stochastic Conceptions. Int Elect J Math Ed. 2008;3(1), 1-23.
APA 6th edition
In-text citation: (Kotsopoulos & Lavigne, 2008)
Reference: Kotsopoulos, D., & Lavigne, S. (2008). Do You Want Me to Do It with Probability or with My Normal Thinking? Horizontal and Vertical Views on the Formation of Stochastic Conceptions. International Electronic Journal of Mathematics Education, 3(1), 1-23.
Chicago
In-text citation: (Kotsopoulos and Lavigne, 2008)
Reference: Kotsopoulos, Donna, and Susan Lavigne. "Do You Want Me to Do It with Probability or with My Normal Thinking? Horizontal and Vertical Views on the Formation of Stochastic Conceptions". International Electronic Journal of Mathematics Education 2008 3 no. 1 (2008): 1-23.
Harvard
In-text citation: (Kotsopoulos and Lavigne, 2008)
Reference: Kotsopoulos, D., and Lavigne, S. (2008). Do You Want Me to Do It with Probability or with My Normal Thinking? Horizontal and Vertical Views on the Formation of Stochastic Conceptions. International Electronic Journal of Mathematics Education, 3(1), pp. 1-23.
MLA
In-text citation: (Kotsopoulos and Lavigne, 2008)
Reference: Kotsopoulos, Donna et al. "Do You Want Me to Do It with Probability or with My Normal Thinking? Horizontal and Vertical Views on the Formation of Stochastic Conceptions". International Electronic Journal of Mathematics Education, vol. 3, no. 1, 2008, pp. 1-23.
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Kotsopoulos D, Lavigne S. Do You Want Me to Do It with Probability or with My Normal Thinking? Horizontal and Vertical Views on the Formation of Stochastic Conceptions. Int Elect J Math Ed. 2008;3(1):1-23.

Abstract

How teachers think about student thinking informs the ways in which teachers teach. By examining teachers’ anticipation of student thinking we can begin to unpack the assumptions teachers make about teaching and learning. Using a “mathematics for teaching” framework, this research examines and compares the sorts of assumptions teachers make in relation to “student content knowledge” versus actual “learning paths” taken by students. Groups of teachers, who have advanced degrees in mathematics, education, and mathematics education, and tenth grade students engaged in a common mathematical task. Teachers were asked to model, in their completion of the task, possible learning paths students might take. Our findings suggest that teachers, in general, had difficulty anticipating student learning paths. Furthermore, this difficulty might be attributed to their significant “specialized content knowledge” of mathematics. We propose, through this work, that examining student learning paths may be a fruitful locus of inquiry for developing both pre-service and in-service teachers’ knowledge about mathematics for teaching.

References

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License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.