Solution Strategies of a Teacher Candidate: Rediscovering Numbers in Base Eight

Year 2016, Volume: 17 Issue: 2, 0 - 0, 24.05.2016

Didem Akyüz

https://doi.org/10.17679/iuefd.17283573

Abstract

Up to today, many of the studies mostly investigated students' understanding of natural numbers rather than preservice teachers’. This study conducts a case study in order to investigate a preservice teacher's understanding of natural numbers and operations on them. The preservice teachers, who were enrolled in a senior year course in an elementary mathematics education department, used materials for natural numbers that aimed to teach the concepts and operations using base eight instead of customarily used base ten for a period. This way, preservice teachers had a chance to develop different strategies for the operations that they memorized in base ten and their thinking ways are investigated during the solution of operations. The results reveal that using different base supports preservice teachers to change their thinking style and interpret the problems from a different perspective without doing any memorization.

Keywords

natural numbers, prospective teachers, base 8, number operations

Bir Öğretmen Adayının Çözüm Stratejileri: Sayıları Sekizlik Tabanda Yeniden Keşfetme

Abstract

Bugüne kadar yapılan çalışmalar çoğunlukla öğrencilerin doğal sayıları nasıl anladıklarını incelemiş fakat öğretmen adaylarının doğal sayıları nasıl anladıkları ve öğrettikleri üzerine yeterince yoğunlaşmamıştır. Bu çalışmada öğretmen adaylarının doğal sayılar kavramını ve  doğal sayılardaki işlemleri nasıl anladığını araştırmak için bir durum çalışması yapılmıştır. Çalışmada ilköğretim matematik eğitimi bölümünde okuyan öğretmen adayları, 4. sınıf zorunlu ders kapsamında doğal sayılar ve doğal sayılar üzerindeki işlemleri onluk taban yerine sekizlik tabanda hazırlanan içerik ile işlemiştir. Böylece öğretmen adaylarına onluk tabanda ezbere yaptığı birçok işlem için stratejiler geliştirme fırsatı verilmiş ve bu süreçte nasıl düşündükleri detaylı olarak araştırılmıştır. Araştırmanın sonucu farklı bir taban kullanmanın öğretmen adaylarının düşünce şeklini değiştirdiğini, ezberden çıkarak farklı bir bakış açısıyla soruları yorumladıklarını göstermektedir

Keywords

doğal sayılar, öğretmen adayları, sekizlik taban, dört işlem

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