İlköğretim 5 ve 7. Sınıf öğrencilerinin çokgenleri sınıflandırma stratejileri

Bu çalışmada ilköğretim 5 ve 7. sınıf öğrencilerinin çokgenleri sınıflandırma stratejilerini belirlemek amaçlanmıştır. Araştırmada örnek olay çalışması nitel araştırma yöntemi olarak belirlenmiştir. Veri toplama aracı olarak araştırmacı tarafından geliştirilen görüşme formu ve çalışma yaprağı kullanılmıştır. Araştırmanın katılımcılarını İzmir ilinin bir merkez ilçesinde bulunan bir ilköğretim okulunun 5 ve 7. sınıflarından maksimum çeşitlilik örneklemesi ile seçilen 50 gönüllü öğrenci oluşturmaktadır. Öğrencilerin yanıtları incelendiğinde çokgenleri sınıflandırırken kullandıkları 10 strateji belirlenmiştir. Bunlar; görselleri dikkate alma, özellikleri karşılaştırma, rastgele, çokgenlere ait imgelere , çokgenlerin duruşlarına, kenar özelliklerine, açı özelliklerine, çokgenler arasındaki ilişkilere, öğrenilmiş bilgilere dayalı ve her çokgeni diğerlerinden bağımsız olarak sınıflama olarak gruplandırılmıştır.

5th and 7th grade primary students strategies of polygons classification

The purpose of this study is to determine 5th and 7th grades primary students strategies of polygons classification. In this research the study of sample problem is identified as a case study research. Interview forms and worksheet developed by researcher are used as a data collection method. The participants of this study are consist of 50 volunteer 5th and 7th grades students who are selected from a school that is in central province of İzmir by maximum variation sampling. When the answers are examined it is determined that 5th and 7th grades students use 10 strategies while classifying polygons. These; taking the images into account, comparison properties, random, image of polygon, the position of polygons, side properties, angle properties, relations between polygons and based on the information learned, classify each polygon independently of each others are grouped.

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  • 1. Uzun, S. ; Bütüner, S. Ö. ve Yiğit, N. (2010). 1999-2007 TIMSS Fen Bilimleri ve Matematik Sonuçlarının Karşılaştırılması: Sınavda En Başarılı İlk Beş Ülke-Türkiye Örneği. İlköğretim Online, 9(3), 1174-1188.
  • 2. De Villers, M. (1987). Research evidence on hierarchical thinking, teaching strategies and the Van Hiele theory: some critical comments. Research unit for mathematics education. University of Stellenbosch , South Africa.
  • 3. Nakahara, T. (1995). Children’s construction process of the concepts of basic quadrilaterals in Japan. Proceedings of The 19 th Conference of the Internatıonal Group for the Psychology of Mathematics Education, 3, 27-34.
  • 4. Okazaki, M. ve Fujita, T. (2007) . Prototype phenomena and common cognıtıve paths in the understanding of the inclusion relations between quadrilaterals in Japan and Scotland. Proceedings of The 31st Conference of the Internatıonal Group for the Psychology of Mathematics Education, 4, 41-48.
  • 5. De Villers, M. (1994). The role and function of a hierarchical classification of quadrilaterals. For the learning of mathematics, 14, 11-18.
  • 6. Tall, D. ve Vinner, S. (1981). Concept Image And Concept Definition in Mathematics With Particular Reference to Limits And Continuity. Educational Studies in Mathematics, 12( 2), 151-169.
  • 7. Fischbein, E. (1993). The Theory of Figural Concepts. Educational Studies in Mathematics, 24 (2), 139- 162.
  • 8. Tall, D. O., Thomas, M. O. J., Davis, G., Gray, E. M., and Simpson, A. P. (2000). What is the object of the encapsulation of a process? Journal of Mathematical Behavior, 18 (2), 1– 19.
  • 9. Hershkowitz, R. (1990). “Psychological Aspects of Learning Geometry”. In P Nesher & J Kilpatrick (Eds.), Mathematics and Cognition. (pp. 70-95). Cambridge: CUP.
  • 10. Fujita, T. (2012). Learners’ level of understanding of the inclusion relations of quadrilaterals and prototype phenomenon. Journalof Mathematical Behavior, Vol. 31, no. 1, pp. 60-72.
  • 11. Fujita, T. ve Jones, K. (2006). Primary trainee teachers’ understanding of basic geometrical figures in Scotland. Proceedings of the 30th PME Conference, 3, 14-21.
  • 12. Driskell, S.,O., S.(2004). Fourth Grade Students’ Reasoning About Properties of Two Dimensional Shapes. Unpublished Doctoral Dissertation. The Faculty of the Curry School of Education. University of Virginia.
  • 13. Martin, W. G. ve Strutchens, M. E. (2000). Geometry and Measurement. In E. A. Silver & P. A. Kenney (Eds.), Results from the Seventh Mathematics Assessment of the National Assessment of Educational Progress (193–234). Reston, VA: National Council of Teachers of Mathematics.
  • 14. National Council of Teachers of Mathematics (2004). Principles & standards for school mathematics. Retrieved March 18, 2006, from http://standards.nctm.org/
  • 15. Van de Walle, J. A. (2004). Elementary and middle school mathematics: teaching Developmentally. New York: Addison Wesley Longman.
  • 16. Fuys, D., Geddes, D., ve Tischler, R. (1988). The Van Hiele model of thinking in geometry among adolescents. Journal for Research in Mathematics Education Monograph Series, Number 3. Reston, VA: National Council of Teachers of Mathematics.
  • 17. Crowley, M.L. (1987). The van Hiele Model of the Development of Geometric Thought. In M.M. Lindquist, Ed., Learning and Teaching Geometry, K-12 (1-16). Reston, VA: National Council of Teachers of Mathematics.
  • 18. Van Hiele, P. M. (1999). Developing geometric thinking through activities that begin with play. Teaching Children Mathematics, 5 (6), 310-316.
  • 19. Yıldırım, A. ve Şimşek, H. (2008). Sosyal Bilimlerde Nitel Araştırma Yöntemleri (7. baskı). Ankara:Seçkin Yayıncılık.
  • 20. Büyüköztürk, Ş., Çakmak E., Akgün Ö., ve diğerleri., (2009). Bilimsel Araştırma Yöntemleri (3. baskı). Ankara: Pegem Akademi.
  • 21. Yıldırım, A. ve Şimşek, H. (2006). Sosyal Bilimlerde Nitel Araştırma Yöntemleri, Seçkin Yayıncılık, Ankara.
  • 22. Miles, M. B. ve Huberman, A. M. (1994). Qualitative Data Analysis: An expanded sourcesbook (2nd edn.),Sage:London and Thousand Oaks, California.
  • 23. Fujita, T. (2008). Learners’ Understanding of the Hierarchical Classification of Quadrilaterals. Proceedings of the British Society for Research into Learning Mathematics 28(2) , 31-36.
  • 24. Han, H. (2007). Middle School Students’ Quadrilateral Learning: A Comparision Study. Unpublished Doctoral Thesis. The Faculty of the Graduate School, University of Minnesota.
  • 25. Triadafillidis, T. A. (1995). Circumventing Visual Limitations in Teaching the Geometry of Shapes. Educational Studies in Mathematics, 29 (3), 225-235.
Kastamonu Üniversitesi Kastamonu Eğitim Dergisi-Cover
  • ISSN: 1300-8811
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: Halil İbrahim AKYÜZ