Matematik Öğretmenliği Lisans Öğrencilerinin Geometrik Alışkanlıklarının İncelenmesi: Trigonometri Örneği

Öz

Bu çalışmanın temel amacı lise matematik öğretmenliği lisans öğrencilerinin birim çember ve trigonometrik oranlar konularında kullandıkları geometrik alışkanlıkları incelemektir. Bu çalışmanın teorik altyapısını “Zihnin Geometrik Alışkanlıkları” çerçevesi oluşturmaktadır. Durum çalışması ile desenlenen bu çalışmanın katılımcı grubu, lise matematik öğretmenliği lisans programında birinci sınıfta öğrenim gören on iki tane öğrenciden oluşmaktadır. Çalışmanın veri grubu, öğrencilere yazılı olarak verilen ve çözmeleri istenen birim çember ve trigonometrik oranlar kavramlarına dair sorulardan oluşmaktadır. Çalışmanın verileri benimsenen çerçeve ışığında betimsel analiz yöntemi ile analiz edilmiştir. Elde edilen bulgular sonucunda, öğrencilerin trigonometri konusunda en sık kullandıkları geometrik alışkanlıkların ilişki kurarak muhakeme etme ve değişmeyenlerin incelenmesi; en az kullandıkları geometrik alışkanlığın ise keşfetme ve yansıtma dengesi kurma olduğu ortaya çıkmıştır. Çalışmanın bulguları öğrencilerin neredeyse tamamının geometrik alışkanlıkları kullanma konusunda yeterli düzeyde olmadıklarını göstermiştir.

Anahtar Kelimeler

• Birim çember
• trigonometri
• trigonometrik oranlar
• zihnin geometrik alışkanlıkları

Investigation of Geometric Habits of Undergraduate Students in Secondary Mathematics Education: Trigonometry Example

Öz

The main purpose of this study is to examine undergraduate students’, who were enrolled in secondary mathematics education, geometric habits of mind related to the concepts of unit circle and trigonometric ratios. The framework of "Geometric Habits of the Mind" was identified as the theoretical background of the study. This study was designed considering a case study method and the participants were twelve first grade students. The data group of the study consists of questions on the concepts of unit circle and trigonometric ratios and the students were required to answer the question on the paper. The data were analyzed with the descriptive analysis method in the light of the adopted framework. As a result of the findings, the students most frequently used reasoning with relationships and investigating invariants and the least used balancing exploration with reflection. The findings of the study showed that almost all of the students were not at a sufficient level in using geometric habits.

Anahtar Kelimeler

• Unit circle
• trigonometry
• trigonometric ratios
• geometric habits of mind

Kaynakça

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