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ORTAÖĞRETİM ÖĞRENCİLERİNİN SONSUZLUK ALGILARI

HIGH SCHOOL STUDENTS’ PERCEPTIONS OF INFINITY

Journal Name:

  • Kastamonu Üniversitesi Kastamonu Eğitim Dergisi

Publication Year:

  • 2013

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
The aim of this study was to determine how secondary high students school students perceived the concept of infinity. Phenomenological design, which is among the qualitative research methods, was used in this study. The participants of the study were 72 secondary high school students (38 females and 34 males). An open-ended test and focus group discussion were used as the data collection tools. Descriptive analysis and content analysis were used in analyzing the data that was obtained from the study. Categories, codes and frequencies about the codes were formed, which were obtained from the analysis of discussion data. It was found that the students experienced a number of hesitations in one-to-one correspondence of infinite sets. The fact that the students observed that everything has an end through daily life experiences limited their understanding of infinity. This condition does not fit the understanding of mathematical infinity. The understanding of mathematical infinity must be developed.
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Abstract (Original Language): 
Bu çalışmada ortaöğretim öğrencilerinin sonsuzluk kavramını nasıl algıladıklarını tespit etmek amaçlanmıştır. Nitel araştırma yöntemlerinden olgu bilim deseni kullanılmıştır. Çalışmanın katılımcıları 38’i kız, 34’ü erkek olmak üzere toplam 72 ortaöğretim öğrencisinden oluşmaktadır. Veri toplama aracı olarak açık uçlu bir test ve odak grup görüşmesi kullanılmıştır. Çalışmadan elde edilen verilerin analizinde betimsel ve içerik analizi kullanılmıştır. Görüşme verilerin analizinden elde edilen kategoriler, kodlar ve kodlara ilişkin frekanslar oluşturulmuştur. Öğrencilerin sonsuz kümelerin bire-bir eşleştirilmesi konusunda birtakım tereddütlerinin oldukları tespit edilmiştir. Öğrencilerin günlük yaşam tecrübeleriyle her şeyin bir sonunun olduğunu gözlemlemeleri, sonsuzluk anlayışlarını da kısıtlamış ve matematiksel sonsuzluk anlayışından uzaktır. Matematiksel sonsuzluk anlayışının geliştirilmesi gerekir.
FULL TEXT (PDF): 
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  • 3
1235-1252
  • Turkish

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