Matematik Öğretmen Adaylarının, 6. Sınıf Öğrencilerinin Cebirsel Örüntüleri Genellemelerine İlişkin Farkındalıkları

Matematik öğretmeninin sahip olması gereken bilgi, temel konu ve kavramları bilmenin ötesinde ayrıcalıklı bir bilgi türüdür. Bu bilginin bileşenlerinden birisi de öğrencinin matematiksel düşüncesini farketmektir. Özel olarak cebir alanında öğrencilerin örüntü genelleme süreçlerini anlamlandırmak ve hata kaynaklarını belirlemek için öğretmenin bu türde bir farkındalığa sahip olması gereklidir. Bu çalışmanın amacı matematik öğretmen adaylarının öğrencilerin örüntü genelleme süreçlerine ilişkin farkındalığını araştırmaktır. Bu amaca yönelik veri toplama aracı olarak farklı tipte yaklaşım ve stratejilerden oluşan gerçek öğrenci yanıtları kullanılmıştır. Nitel araştırma yöntemlerinin benimsendiği çalışmanın katılımcıları 2015-2016 eğitim-öğretim yılında bir devlet üniversitesinin matematik öğretmenliği bölümüne devam eden ve “cebirsel kavramlar ve öğretimi dersi”ni almakta olan 35 öğretmen adayıdır. Araştırma bulgularına göre, öğretmen adayları öğrencilerin görünür stratejilerini fark etme konusunda başarılı sayılabilirler. Ne var ki, adayların öğrencilerin hatalarının altında yatan nedenleri belirlemeye yönelik açıklamaları yeterli bulunmamıştır.

Anahtar Kelimeler:

matematik öğretmen adayı, öğrenci bilgisi, örüntü genelleme

Prospective Mathematics Teachers’ Noticing On The Algebraic Pattern Generalisations Made By 6th Grade Students

The knowledge that the mathematics teachers should have is a privileged knowledge beyond the basic concepts and concepts. One of the components of this knowledge is noticing students’ mathematical thinking. In particular, in the field of algebra, it is necessary for the teacher to have this kind of awareness in order to make sense of pattern generalization processes and to identify sources of errors. The aim of this study is to investigate the awareness of mathematics teacher candidates about students pattern generalization processes. For this purpose, students’ real answers consisting of different types of approaches and strategies were used as the data collection tool. This study employs the qualitative research methods and the participants are 35 prospective teachers taking the “teaching algebraic concepts” course in mathematics teaching department at a state university in 2015 – 2016 academic year. According to the research findings, prospective teachers can be considered successful in recognising students’ visible strategies; nevertheless the explanations provided by the prospective teachers on finding out the reasons that lie beneath the student mistakes are unsatisfactory.

Keywords:

prospective mathematics teacher, student knowledge, pattern generalization,

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