Dergiler / Eurasian Journal of Educational Research / 2004 / Cilt: 0 - Sayı: 16

Figural and Conceptual Aspects in Defining and Identifying Polygons

Çokgenlerin Belirlenmesinde ve Tanımlanmasında Şekilsel ve Kavramsal Boyutlar

Sayfa
15–26
Yayın Tarihi
2022-10-18
DOI
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All these mentioned above are quite prevalent among all levels of students in concept learning.

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Amaç & Hipotez:Bu çalışmada matematik de ‘ortalamanın üstünde’, ‘ortalama’ ve ‘ortalamanın altında’ başarıya sahip öğrenciler üzerinde çalışılmıştır.
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Temel Bulgular & Veri:Yüz yüze görüşme ile çokgenlerin belirlenmesinde şekilsel ve kavramsal boyutların etkileşimi gözlenmiştir.
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Sonuç & Katkı:All these mentioned above are quite prevalent among all levels of students in concept learning.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

Bu çalışmada matematik de ‘ortalamanın üstünde’, ‘ortalama’ ve ‘ortalamanın altında’ başarıya sahip öğrenciler üzerinde çalışılmıştır. Yüz yüze görüşme ile çokgenlerin belirlenmesinde şekilsel ve kavramsal boyutların etkileşimi gözlenmiştir. Şonuçların analizi göstermiştir ki (a) öğrenciler sıklıkla esas model (ilk örnek) şekilleri kullanıyorlar fakat onların özel (ayrıcalıklı) olduklarını düşünmüyorlar, ve (b) bir kavramın şekilde verilen kritik olmayan özelliği kavramlarla ilgili örnekleri belirlerken zorluklara neden oluyor. Yukarıda belirtilen sonuçların hepsi çokgenlerin öğrenilmesinde üç düzey öğrencide de yaygın olduğu gözlenmiştir. We studied three eighth-grade students identified by their mathematics teacher as having ‘above average,’ ‘average’ and ‘below average’ achievers in mathematics. We sought to observe, using face to face interview, the process of interaction between figural and conceptual aspects in identifying and defining process of polygons, squares, rectangles, and parallelograms. Analysis of the results revealed that (a) students often use prototypic figures but do not consider them as exclusive, (b) noncritical attributes of a concept given in a figure leads to difficulties in identifying concept examples, and (c) students’ own definitions include noncritical attributes of the concepts as well as their critical attributes. All these mentioned above are quite prevalent among all levels of students in concept learning.

Abstract

We studied three eighth-grade students identified by their mathematics teacher as having ‘above average,’ ‘average’ and ‘below average’ achievers in mathematics. We sought to observe, using face to face interview, the process of interaction between figural and conceptual aspects in identifying and defining process of polygons, squares, rectangles, and parallelograms. Analysis of the results revealed that (a) students often use prototypic figures but do not consider them as exclusive, (b) noncritical attributes of a concept given in a figure leads to difficulties in identifying concept examples, and (c) students’ own definitions include noncritical attributes of the concepts as well as their critical attributes. All these mentioned above are quite prevalent among all levels of students in concept learning.

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Bu Makaleye Atıf Yap

UBUZ, B., ÜSTÜN, I. (2022). Figural and Conceptual Aspects in Defining and Identifying Polygons. Eurasian Journal of Educational Research, Cilt: 0 - Sayı: 16, 15–26. https://ajindex.com/articles/507847

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Kaynakça (10)

  1. Banks, J. H., & Bannister, R. L., & Posamentier, A. S. (1972). Geometry: Its elements and structure. McGraw- Hill Book Company. Bruner, J.S., Goodnow, J. J., & Austin, G. A. (1956). A study of thinking. New York: Wiley. Burger, W. F., & Shaughnessy, J. M. (1986). Characterizing the van Hiele levels of development in geometry. Journal for Research in Mathematics Education, 17, 31-48.
  2. De Villers, M. (1994). The role and function of a hierarchical classification of quadrilaterals. For the Learning of Mathematics, 14(1), 11-18.
  3. De Villers, M. (1998). To teach definitions in geometry or teach to define?. Proceedings of Psychology of Mathematics Education 22 (Vol. 2, pp. 249-255), Stellenbosch: South Africa. Fischbein, E. (1993). The theory of figural concepts. Educational Studies in Mathematics, 24, 139-162.
  4. Furinghetti, F., & Paola, D. (1999). Exploring students’ images and definitions of area. Proceedings of Psychology of Mathematics Education 23(Vol.2,pp.345-352),
  5. Israel. Hershkowitz, R. ( 1989). Visualization in geometry: Two sides of the coin. Focus on Learning problems in Mathematics, 11(1&2), 61-75.
  6. Hershkowitz, R. ( 1990). Pschological aspects of learning geometry. In P. Nesher and J. Kilpatrick (eds.), Mathematics and Cognition (70-95), Cambridge University Pres: Cambridge Hershkowitz, R., & Vinner, S. (1983). The role of critical and non-critical attributes in the conceptimage of geometrical concepts. Proceedings of Psychology of Mathematics Education 7 (pp.223-228),
  7. Israel. Hershkowitz, R., Vinner, S., & Bruckheimer, M. (1987). Activities with teachers based on cognitive research. In M. M. Lindquist & A. P.Shulte (Eds.), Learning and teaching geometry K-12 (pp. 222-235). National Council of Teachers of Mathematics: Reston. Hoffer, A. (1983). Van Hiele based research. In R. Lesh & M. Landau (Eds.), Acquisition of mathematics concepts and process (pp. 205-227). NewYork: Academic Press.
  8. Matsua, N. (2000). States of understanding relations among concepts of geometric figures: Considered from the aspect of concept image and concept definition. Proceedings of Psychology of Mathematics Education 24 (Vol.3, pp. 271-278),
  9. Japan. Musser, G. L., & Trimple, L. E. (1994). College geometry: A problem solving approach with applications. New Jersey: Prentice-Hall. Prevost, F. J. (1985). Geometry in the junior high school. Mathematics Teacher, 411-418.
  10. Schwarz, B. B., & Hershkowitz, R. (1999). Prototypes: Brakes or levers in learning the function concept? The role o