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Journals / Eğitimde Nitel Araştırmalar Dergisi / 2019 / Cilt: 7 - Sayı: 4

GeoGebra-based Scaffolding of a Prospective Mathematics Teacher’s Learning While Exploring the Properties of Chord and Tangent in Circle

Bir Matematik Öğretmeni Adayının Çemberde Kiriş ve Teğetin Özelliklerini Keşfederken Yararlandığı GeoGebra Tabanlı Yönlendirici Destekler

Gülay BOZKURT
Candaş UYGAN
Pages
1651–1680
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

The findings of this study indicated that GeoGebra-based scaffolding became an effective way to support the prospective teacher’s abductive, inductive and deductive reasoning processes in construction tasks and enabled her to discover various properties of chord and tangent in circle.

📌 3 Key Takeaways

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Objective & Hypothesis:The aim of this study is to investigate GeoGebra-based scaffolding and the reasoning processes of a prospective mathematics teacher while exploring chord and tangent’s relations with centre point in circle within the scope of a geometric construction problem in GeoGebra.
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Key Findings & Data:During the interview, the participant was given a task about construction of the centre point of a circle with different strategies in GeoGebra.
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Conclusion & Impact:The findings of this study indicated that GeoGebra-based scaffolding became an effective way to support the prospective teacher’s abductive, inductive and deductive reasoning processes in construction tasks and enabled her to discover various properties of chord and tangent in circle.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matematik öğretmeni adayı · çember · dinamik geometri yazılımı

Abstract

The aim of this study is to investigate GeoGebra-based scaffolding and the reasoning processes of a prospective mathematics teacher while exploring chord and tangent’s relations with centre point in circle within the scope of a geometric construction problem in GeoGebra. In this study, qualitative paradigm is adopted and a task-based interview is conducted with a prospective mathematics teacher enrolled in a mathematics teacher education program at a state university located in central Turkey. During the interview, the participant was given a task about construction of the centre point of a circle with different strategies in GeoGebra. Data were collected through video-camera looking at the participant’s working environment and screen recorder software. The participant’s reasoning processes, GeoGebra-based scaffolding needed during the task and also used dragging modalities were analysed. GeoGebra-based scaffolding consisted of three dimensions: the support provided by the software tools and also the operational and mathematical support by the interviewer. The findings of this study indicated that GeoGebra-based scaffolding became an effective way to support the prospective teacher’s abductive, inductive and deductive reasoning processes in construction tasks and enabled her to discover various properties of chord and tangent in circle.

Özet

Bu çalışmanın amacı, bir matematik öğretmeni adayının GeoGebra’daki geometrik bir inşa problemi kapsamında çemberde kiriş ve teğetin merkez nokta ile ilişkisini keşfederken aldığı GeoGebra tabanlı yönlendirici destekleri ve bu sırada gerçekleştirdiği akıl yürütme süreçlerini araştırmaktır. Araştırmada, nitel paradigma benimsenmiş ve Türkiye’deki bir devlet üniversitesinde öğrenim gören bir ilköğretim matematik öğretmeni adayı ile görev-tabanlı görüşme gerçekleştirilmiştir. Görüşme sırasında katılımcıya GeoGebra’da çemberin merkez noktasını farklı stratejilerle oluşturma görevi sunulmuştur. Veriler, video-kamera ve ekran kaydedici yazılımı ile toplanmış ve katılımcının akıl yürütme süreçleri, görev sırasında ihtiyaç duyduğu GeoGebra tabanlı yönlendirici destekler ve bu destekler içinde özel bir yeri olan sürükleme türleri analiz edilmiştir. GeoGebra tabanlı yönlendirici destekler sadece yazılım araçlarının sağladığı destekler ve görüşmecinin yazılımdaki işlemsel ve matematiksel yönlendirici destekleri olmak üzere üç boyutta ele alınmıştır. Analizler sonucunda, katılımcının yararlandığı çeşitli GeoGebra tabanlı yönlendirici destekler yardımıyla geri-çıkarım, tümdengelimli ve tümevarımsal akıl yürütme süreçlerini gerçekleştirdiği; çemberin kiriş ve teğetine ait çeşitli özellikleri keşfettiği görülmüştür.

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Cite This Article

BOZKURT, G., UYGAN, C. (2022). GeoGebra-based Scaffolding of a Prospective Mathematics Teacher’s Learning While Exploring the Properties of Chord and Tangent in Circle. Eğitimde Nitel Araştırmalar Dergisi, Cilt: 7 - Sayı: 4, 1651–1680. https://ajindex.com/articles/497027

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