Journals / Eğitim ve Bilim / 2012 / Cilt: 37 - Sayı: 163

Tamsayıların anlaşılmasında öğretmenin imgelemeyi desteklemedeki rolü

The role of the teacher in supporting imagery in understanding integers

Pages
268–282
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results suggest that the practices of the teacher played an important role in students’ development of various images in understanding and solving integer problems meaningfully as well as communicating their ideas effectively.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper presents the results of a design experiment conducted in a 7th grade mathematics classroom aimed at improving students’ understanding of integer concepts and operations.
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Key Findings & Data:The study particularly focuses on an expert teacher’s role in helping students develop meaningful imagery which students can use as a foundation to fold back and rely on as they engage in further mathematical activities.
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Conclusion & Impact:The results suggest that the practices of the teacher played an important role in students’ development of various images in understanding and solving integer problems meaningfully as well as communicating their ideas effectively.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper presents the results of a design experiment conducted in a 7th grade mathematics classroom aimed at improving students’ understanding of integer concepts and operations. The study particularly focuses on an expert teacher’s role in helping students develop meaningful imagery which students can use as a foundation to fold back and rely on as they engage in further mathematical activities. Toulmin’s model of argumentation is used as an analytical tool to document when an image becomes taken-as-shared by the classroom community. The results suggest that the practices of the teacher played an important role in students’ development of various images in understanding and solving integer problems meaningfully as well as communicating their ideas effectively.

Özet

Bu çalışma, yedinci sınıf matematik öğrencilerinin tamsayı kavramı ve işlemlerini daha iyi anlayabilmeleri için yapılan bir araştırmanın sonuçlarını sunmaktadır. Çalışmada özellikle uzman bir öğretmenin öğrencilerin yeni matematiksel kavramları anlamalarında geriye dönük olarak kullanabilecekleri mantıklı imgelemeyi geliştirmelerindeki rolü araştırılmıştır. Çalışmada Toulmin tartışma modeli öğrencilerin oluşturdukları imgelerin tüm sınıf tarafından kabul edilip ortak olarak kullanılıp kullanılmadığını analiz etmek amacıyla kullanılmıştır. Sonuçlar, öğretmenin kullanmış olduğu yöntemlerin öğrencilerin tamsayı problemlerini anlaması ve doğru çözmesinde olduğu kadar, fikirlerini iletmede de etkili olan imgelemelerin gelişiminde önemli bir rol oynadığını göstermiştir.

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Cite This Article

AKYÜZ, D., STEPHAN, M., DIXON, J. K. (2022). Tamsayıların anlaşılmasında öğretmenin imgelemeyi desteklemedeki rolü. Eğitim ve Bilim, Cilt: 37 - Sayı: 163, 268–282. https://ajindex.com/articles/497655

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References (12)

  1. Battista, M. T. (1983). A complete model for operations on integers. Arithmetic Teacher, 30(9), 26-31.
  2. Cobb, P., & McClain K. (2001). An approach for supporting teachers’ learning in social context. In F. Lin & T. J. Cooney (Eds.), Making sense of mathematics teacher education (pp. 27-231). Netherlands: Kluwer Academic Publishers.
  3. Confrey, J. (1990): What constructivism implies for teaching. In: R. B. Davis, C. A. Maher & N.Noddings (Eds.), Constructivist views on the teaching and learning of mathematics (pp. 107–122).
  4. Reston, VA: National Council of Teachers of Mathematics. Dirks, M (1984). The integer abacus. Arithmetic Teacher, 31(7), 50-54. diSessa, A. A., & Sherin, B. L. (2000). Meta-representation: An introduction. Journal of Mathematical Behavior, 19(4), 385–398.
  5. Glaser, B., & Strauss, A. (1967). The discovery of grounded theory. Chicago: Aldine. Gravemeijer, K. (1994). Developing realistic mathematics education. Utrecht, Netherlands: CD-Press.
  6. Gallardo, A., & Romero, M. (1999). Identification of difficulties in addition and subtraction of integers in the number line. In F. Hitt, & M. Santos (Eds.), Proceedings of the Twenty-first International Conference for the Psychology of Mathematics Education (Vol. I. pp. 275–282).
  7. North American Chapter, Mexico. Gallardo, A. (2002). The extension of the natural-number domain to the integers in the transition from arithmetic to algebra. Educational Studies in Mathematics, 49, 171–192.
  8. Hayes, R. (1999). Teaching Negative Number Using Integer Tiles, 22nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), University of Adelaide, Adelaide, SA. Hayes, M. (2002). Elementary preservice teachers’ struggles to define inquiry-based science teaching. Journal of Science Teacher Education, 13, 147-165.
  9. Janvier, C. (1985). Comparison of models aimed at teaching signed integers. Proceedings of the Nineth Meeting of the PME. State University of Utrecht, The. Netherlands, 135-140.
  10. Kinach, B. M. (2002). A cognitive strategy for developing pedagogical content knowledge in the secondary mathematics methods course: toward a model of effective practice. Teaching and Teacher Education, 18(1), 51-71.
  11. Kirschner, P. A., Sweller, J., & Clark, R. E. (2006). Why minimal guidance during instruction does not work. Educational Psychologist, 41(2), 75-86.
  12. Linchevski, L., & Williams, J. D. (1999). Using intuition from everyday life in “filling” the gap in children’s extension of their number concept to includ