Research Article

MATHEMATICS TEACHERS' VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS

Volume: 1 September 1, 2014
  • Burcu Nur Basturk
  • Sibel Yesıldere-ımre
EN

MATHEMATICS TEACHERS' VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS

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. 

Keywords

References

  1. 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Burcu Nur Basturk This is me

Sibel Yesıldere-ımre This is me

Publication Date

September 1, 2014

Submission Date

August 8, 2017

Acceptance Date

-

Published in Issue

Year 2014 Volume: 1

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. https://izlik.org/JA96UH96FS
AMA
1.Basturk BN, Yesıldere-ımre S. MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS. EPESS. 2014;1:367-371. https://izlik.org/JA96UH96FS
Chicago
Basturk, Burcu Nur, and Sibel Yesıldere-ımre. 2014. “MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS”. The Eurasia Proceedings of Educational and Social Sciences 1 (May): 367-71. https://izlik.org/JA96UH96FS.
EndNote
Basturk BN, Yesıldere-ımre S (May 1, 2014) MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS. The Eurasia Proceedings of Educational and Social Sciences 1 367–371.
IEEE
[1]B. N. Basturk and S. Yesıldere-ımre, “MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS”, EPESS, vol. 1, pp. 367–371, May 2014, [Online]. Available: https://izlik.org/JA96UH96FS
ISNAD
Basturk, Burcu Nur - Yesıldere-ımre, Sibel. “MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS”. The Eurasia Proceedings of Educational and Social Sciences 1 (May 1, 2014): 367-371. https://izlik.org/JA96UH96FS.
JAMA
1.Basturk BN, Yesıldere-ımre S. MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS. EPESS. 2014;1:367–371.
MLA
Basturk, Burcu Nur, and Sibel Yesıldere-ımre. “MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS”. The Eurasia Proceedings of Educational and Social Sciences, vol. 1, May 2014, pp. 367-71, https://izlik.org/JA96UH96FS.
Vancouver
1.Burcu Nur Basturk, Sibel Yesıldere-ımre. MATHEMATICS TEACHERS’ VIEWS ABOUT TEACHING GENERALIZATION OF NUMBER PATTERNS. EPESS [Internet]. 2014 May 1;1:367-71. Available from: https://izlik.org/JA96UH96FS