Research Article
BibTex RIS Cite

MATHEMATICS TEACHERS' VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS

Year 2014, Volume: 1 , 367 - 371, 01.09.2014

Abstract

The present study reports
on middle school mathematics teachers' views about teaching generalization of
number patterns. Teachers' approaches to teach generalizing and their point of
views on using strategies were also examined. Interviews were conducted with
sixteen middle school mathematics teachers. Data qualitatively analyzed in
terms of Radford's (2008) architecture of algebraic pattern generalization
theoretical framework. Analysis of the data indicated that teachers' uses of
representations were not effective and teachers' subject matter knowledge on
generalization of number patterns is weak. It was found that teachers' commonly
used strategy is trial-error. Findings also suggest that although teachers’
mostly use strategies and examples in teaching process, they did not use them
in order to develop students' understanding, mathematical thinking and
reasoning. 

References

  • Berg, C. V. (2009). Developing algebraic thinking in a community of inquiry: Collaboration between three teachers and a didactician. Doctoral dissertation at the University of Agder. Kristiansand, Norway: University of Agder. Radford, L. (2006). Algebraic thinking and the generalization of patterns: a semiotic perspective. In J. L. C. S. Alatorre, M. Sa´iz, Me´ndez (Eds.), Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education, North American Chapter (Vol. 1, pp. 2–21). Mexico: Me´rida. Radford, L. (2008). Iconicity and contraction: A semiotic investigation of forms of algebraic generalizations of patterns in different contexts. ZDM Mathematics Education, 40, 83–96. Rossi Becker, J., & Rivera, F. (2006). Sixth Graders’ Figural and Numerical Strategies for Generalizing Patterns in Algebra. In S. Alatorre, J. L. Cortina, M. Sa´iz, & A. Me´ndez (Eds.), Proceedings of the 28th annual meeting of the North American chapter of the international group for the psychology of mathematics education (Vol. 2, pp. 95–101). Me ´rida: Universidad Pedago ´gica Nacional. Yesildere-Imre, S. & Akkoc, H. (2012). Investigating the development of prospective mathematics teachers’ pedagogical content knowledge of generalising number patterns through school practicum, Journal of Mathematics Teacher Education, 15: 207-226. Zazkis, R., & Liljedahl, P. (2002). Generalization of patterns: The tension between algebraic thinking and algebraic notation. Educational Studies in Mathematics, 49(3), 379–402.
Year 2014, Volume: 1 , 367 - 371, 01.09.2014

Abstract

References

  • Berg, C. V. (2009). Developing algebraic thinking in a community of inquiry: Collaboration between three teachers and a didactician. Doctoral dissertation at the University of Agder. Kristiansand, Norway: University of Agder. Radford, L. (2006). Algebraic thinking and the generalization of patterns: a semiotic perspective. In J. L. C. S. Alatorre, M. Sa´iz, Me´ndez (Eds.), Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education, North American Chapter (Vol. 1, pp. 2–21). Mexico: Me´rida. Radford, L. (2008). Iconicity and contraction: A semiotic investigation of forms of algebraic generalizations of patterns in different contexts. ZDM Mathematics Education, 40, 83–96. Rossi Becker, J., & Rivera, F. (2006). Sixth Graders’ Figural and Numerical Strategies for Generalizing Patterns in Algebra. In S. Alatorre, J. L. Cortina, M. Sa´iz, & A. Me´ndez (Eds.), Proceedings of the 28th annual meeting of the North American chapter of the international group for the psychology of mathematics education (Vol. 2, pp. 95–101). Me ´rida: Universidad Pedago ´gica Nacional. Yesildere-Imre, S. & Akkoc, H. (2012). Investigating the development of prospective mathematics teachers’ pedagogical content knowledge of generalising number patterns through school practicum, Journal of Mathematics Teacher Education, 15: 207-226. Zazkis, R., & Liljedahl, P. (2002). Generalization of patterns: The tension between algebraic thinking and algebraic notation. Educational Studies in Mathematics, 49(3), 379–402.
There are 1 citations in total.

Details

Journal Section Articles
Authors

Burcu Nur Basturk This is me

Sibel Yesıldere-ımre This is me

Publication Date September 1, 2014
Published in Issue Year 2014 Volume: 1

Cite

APA Basturk, B. N., & Yesıldere-ımre, S. (2014). MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS. The Eurasia Proceedings of Educational and Social Sciences, 1, 367-371.