Zeynep ÇİFTÇİ, Levent AKGÜN, Yasin SOYLU

MATEMATİK ÖĞRETMENİ ADAYLARININ İRRASYONEL SAYILARLA İLGİLİ ANLAYIŞLARI

Bu çalışmanın amacı matematik öğretmeni adaylarının, literatürde var olan ancak ders kitaplarında Calculus, Analiz, Cebir, vb… pek yer verilmeyen ve bir sayının irrasyonel olup olmadığını göstermek için kullanılan farklı çözüm yolları ile ilgili anlayışlarını ve yaklaşımlarını belirlemektir. Bu bağlamda çalışmanın katılımcılarını 40 matematik öğretmeni adayı the fourth-year students oluşturmaktadır. Çalışma betimsel niteliktedir. Çalışmanın verileri açık uçlu sorulardan oluşan bir testten elde edilmiştir. Elde edilen sonuçlardan matematik öğretmeni adaylarına ilk etapta uygulanan testin analiziyle, bir sayının irrasyonelliğinin gösterimi noktasında sınırlı sayıda yolun kullanıldığı ortaya çıkmıştır. İkinci testin sonuçlarından ise katılımcıların irrasyonel sayıların gösterimi ile ilgili farklı çözüm yollarını tercih ettikleri görülmüştür.

Pre-service Mathematics Teachers’ Understandings of Irrationality Numbers

The aim of this study is to determine pre-service mathematics teachers’ understandings and approaches of different methods of solution which exist in literature but are not featured much in textbooks Calculus, Analysis, Algebra, etc. , and which are used to show whether or not a number is irrational. In this regard, the participants of the study are composed of 40 pre-service mathematics teachers. The study is of descriptive quality. The data of the study were obtained via a test composing of open-ended questions. In view of the obtained data and via analysis of the test that was administered to the pre-service mathematics teachers in the first step, it was found that a limited number of methods were used to represent the irrationality of a number. In view of the results of the second test, it was observed that the participants preferred different methods of solution regarding the representation of irrational numbers

Keywords:

Irrational numbers, Pre-service mathematics teacher, Different methods of solution,

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