Pisagor Teoremini Nasıl Öğretirsiniz: Ders Planlarının Analizi

Abstract

Bu araştırma pedagojik formasyon sertifika programına katılan matematik bölümü mezunları üzerinde yapılmıştır. Katılımcılardan lise dokuzuncu sınıf matematik dersi programındaki Pisagor teoremi kazanımı için bir ders planı hazırlamaları istenmiştir. Kırküç katılımcının on sekizinin ders planlarında Pisagor teoreminin ispatına yer verdikleri tespit edilmiştir. Ders planlarında verilen ispatlar; görsel ispat (iki katılımcı), cebirsel ispat (dokuz katılımcı) ve üçgen benzerliğinin kullanıldığı ispat (yedi katılımcı) olarak üç kategoride değerlendirilmiştir. Bunun dışında, ders planlarında verilen çözümlü örnek, ev ödevi ve ölçme değerlendirme soruları TIMSS bilişsel düzeylerine göre bilgi, uygulama ve akıl yürütme düzeylerinde sorular olarak sınıflandırılmıştır. Kırküç katılımcının hazırladığı 233 sorunun yaklaşık % 37’sinin bilgi, % 60’ının uygulama ve % 3’ünün akıl yürütme düzeyinde sorular olduğu görülmüştür

Keywords

• Bilişsel istem düzeyleri,ders planı,Pisagor teoremi,dokuzuncu sınıf matematik

How to Teach the Pythagorean Theorem: An Analysis of Lesson Plans

Abstract

This research was conducted among mathematics graduates who participated in a pedagogical formation certificate program. Participants were asked to prepare a lesson plan intended for use in teaching the Pythagorean theorem as part of a ninth grade mathematics course. Eighteen out of 43 participants included a proof of the Pythagorean theorem as a component of their lesson plan. These proofs were classified in three categories: visual proofs (two participants), algebraic proofs (nine participants), and proofs by using triangular similarities (seven participants). In addition, the solved examples, homework, and evaluation questions included in the lesson plans were classified according to TIMSS cognitive levels. Of the 233 questions prepared by 43 participants, 37% of the questions were at the knowledge level, 60% were at the application level, and the remaining 3% were at the reasoning level.

Keywords

• Cognitive demand levels,lesson plan,Pythagorean theorem,ninth grade mathematics

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