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Dergiler / IOJET / 2022 / Cilt: 9 - Sayı: 1

DEVELOPING PRE-SERVICE MATHEMATICS TEACHERS’ UNDERSTANDING OF METRIC AND TOPOLOGICAL SPACES USING REFLECTIVE QUESTIONS

EmmanuelDEOGRATIAS
Dergi
IOJET
Sayfa
1–10
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The findings have implications in teaching and learning metric and topological spaces.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper presents the ways that reflective questions were used to develop pre-service mathematics teachers’ understanding of metric and topological spaces.
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Temel Bulgular & Veri:In particular, the purpose of developing PSTs’ understanding of metric and topological spaces is that understanding these mathematical concepts leads to PSTs’ understandings on how to teach and learn geometrical figures in mathematics classes after completion of their degree programs.
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Sonuç & Katkı:The findings have implications in teaching and learning metric and topological spaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This paper presents the ways that reflective questions were used to develop pre-service mathematics teachers’ understanding of metric and topological spaces. In particular, the purpose of developing PSTs’ understanding of metric and topological spaces is that understanding these mathematical concepts leads to PSTs’ understandings on how to teach and learn geometrical figures in mathematics classes after completion of their degree programs. This paper details the interpretation of the PSTs’ reflections on metric and topological spaces. From PSTs’ reflections, it was found that reflective questions helped individual PSTs to develop their understanding of matric and topological spaces, including giving the meaning of metric and topological spaces, and relating with real objects available in their daily environment. The findings have implications in teaching and learning metric and topological spaces.

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Bu Makaleye Atıf Yap

EmmanuelDEOGRATIAS, E. (2022). DEVELOPING PRE-SERVICE MATHEMATICS TEACHERS’ UNDERSTANDING OF METRIC AND TOPOLOGICAL SPACES USING REFLECTIVE QUESTIONS. IOJET, Cilt: 9 - Sayı: 1, 1–10. https://ajindex.com/articles/542125

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Kaynakça (7)

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  3. Copson, E. (1968). Metric spaces. Cambridge University Press.
  4. Deogratias, E. (2020). Exploring the implementation of concept-rich instruction with university mathematics pre- service teachers. A Tanzanian Case (Doctoral dissertation, University of Alberta). Jain, P., & Ahmad, K. (1999). Metric spaces. Narosa Publishing House. Jiri, M. (2014).
  5. Topology, A chapter for mathematics ++ lecture notes. https://kam.mff.cuni.cz/~matousek/topchap.pdf
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  7. Singh, T. (2019). Introduction to topology. Singapore: Springer nature Ltd. Sutherland, W. (2009). Introduction to metric and topological spaces. New York USA: Oxford University press Inc. Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, Massachusetts: Harvard University Press.