Research Article

Teaching from Patterns to Functions in Algebraic Thinking Process

Volume: 9 Number: 1 June 26, 2010
EN TR

Teaching from Patterns to Functions in Algebraic Thinking Process

Abstract

Function concept that mathematics educators has worked on importantly for years is still a source of difficulties for students. Because the functional relationship is a prerequisite notion for the function concept and the functional relationship should be gained from the outset, teaching of the function concept should be considered not in the high school mathematics, but in the early grades mathematics. In this study, the relationship between the pattern and function concepts and teaching strategies of them in the algebraic thinking process are investigated based on literature, and the results obtained from this investigation are given by supporting with the researchers’ recommendations.

Keywords

References

  1. Bakar, M. & Tall, D. (1991). Students’ mental prototypes for functions and graphs, Proceedings of PME 15, Assisi, 1, 104–111.
  2. Billstein, R., Libeskind S. & Lott J. W. (2004). A problem solving approach to mathematics for elementary school teachers. (8th Ed.) New York: Addison- Wesley.
  3. Blanton, M. L. & Kaput, J. (2004). “Elementary grades students’ capacity for functional thinking.” In M. J. Hoines ve A. Fuglestad (Ed.), Proceeding of The 28th Conference of the international Group for the Psychology of Mathematics Education, 2, 135-142. Bergen Norway: International Group For The Psychology of Mathematics Education.
  4. Breidenbach, D., Dubinsky, E.,Hawks, J.,& Nichols, D. (1992). Development of the process conception of function, Educational Studies in Mathematics, 23 (1992), 247-285.
  5. Cai, J., Lew, H. C., Morris, A. Moyer, J. C. Ng, S. F. & Schmittau, J. (2005). The development of students’ algebraic thinking in earlier grades: A cross- cultural comparative. ZDM. 37 (1), 5-15.
  6. Carraher, D. W. & Martinez, M. V. (2007). Early algebra and mathematical generalization. ZDM. 40 (3), 1-22.
  7. Cathcart, W. G., Pothier, V. M., Vance, T. H. & Bezuk, N. S. (2003). Learning mathematics in elementary and middle schools. (3th Ed.) River, N.J: Merrill/Prentice Hall.
  8. Clement, L. (2001). What do students really know about functions? The Mathematics Teacher, 94 (9), 745.

Details

Primary Language

Turkish

Subjects

-

Journal Section

Research Article

Publication Date

June 26, 2010

Submission Date

June 26, 2010

Acceptance Date

-

Published in Issue

Year 1970 Volume: 9 Number: 1

APA
(uygur) Kabael, T., & Tanışlı, D. (2010). Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim. İlköğretim Online, 9(1), 213-228. https://izlik.org/JA67YX88HN
AMA
1.(uygur) Kabael T, Tanışlı D. Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim. İOO. 2010;9(1):213-228. https://izlik.org/JA67YX88HN
Chicago
(uygur) Kabael, Tangül, and Dilek Tanışlı. 2010. “Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim”. İlköğretim Online 9 (1): 213-28. https://izlik.org/JA67YX88HN.
EndNote
(uygur) Kabael T, Tanışlı D (March 1, 2010) Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim. İlköğretim Online 9 1 213–228.
IEEE
[1]T. (uygur) Kabael and D. Tanışlı, “Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim”, İOO, vol. 9, no. 1, pp. 213–228, Mar. 2010, [Online]. Available: https://izlik.org/JA67YX88HN
ISNAD
(uygur) Kabael, Tangül - Tanışlı, Dilek. “Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim”. İlköğretim Online 9/1 (March 1, 2010): 213-228. https://izlik.org/JA67YX88HN.
JAMA
1.(uygur) Kabael T, Tanışlı D. Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim. İOO. 2010;9:213–228.
MLA
(uygur) Kabael, Tangül, and Dilek Tanışlı. “Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim”. İlköğretim Online, vol. 9, no. 1, Mar. 2010, pp. 213-28, https://izlik.org/JA67YX88HN.
Vancouver
1.Tangül (uygur) Kabael, Dilek Tanışlı. Cebirsel Düşünme Sürecinde Örüntüden Fonksiyona Öğretim. İOO [Internet]. 2010 Mar. 1;9(1):213-28. Available from: https://izlik.org/JA67YX88HN