Matematik Eğitiminde Sonsuzluğa Bir Bakış: Bir Betimsel İçerik Analiz Çalışması

Year 2026, Issue: 67 , - , 31.03.2026

Ümranay Kuşçu , Serkan Narlı

https://doi.org/10.53444/deubefd.1826380

https://izlik.org/JA75BY24AN

Abstract

Bu araştırmanın amacı, eğitimde sonsuzluk kavramı ile ilgili yapılmış araştırmaların eğilimlerini betimsel içerik analizi yöntemi ile ortaya koymaktır. Bu amaçla, çeşitli veri tabanları taranarak 1956-2024 yılları arasında gerçekleştirilen 224 çalışma analiz edilmiştir. Çalışmalar; yayın yılları, yayın türü, araştırma yöntemi, örneklem özellikleri, veri toplama araçları ve araştırma sonuçları açısından incelenmiştir. Bulgular; en fazla çalışmanın 2006-2010 yılları arasında yapıldığını ve nitel araştırma yöntemlerinin çoğunluğu oluşturduğunu ortaya koymuştur. Örneklem dağılımına bakıldığında, üniversite öğrencilerinin en sık çalışılan grup olduğu görülmüştür. Amaçları doğrultusunda, teorik bilgi sunmayı hedefleyen çalışmaların baskın olduğu, buna karşın sonsuzluk kavramının öğretimine odaklanan araştırmaların sınırlı kaldığı belirlenmiştir. Analiz ayrıca, öğrenenlerin formal eğitim öncesinde ve sonrasında farklı şemalar geliştirdiğini ve önceki öğrenmelerin ileri matematiksel konularda epistemolojik bir engel teşkil edebileceğini göstermiştir. Bu çalışma, erken yaş gruplarına yönelik araştırmalardaki önemli bir boşluğu ortaya koyarak ve deneysel çalışma ihtiyacını vurgulayarak literatüre katkı sağlamaktadır. Sonuç olarak, gelecek araştırmaların, formal tanımlar tanıtılmadan önce sezgisel anlayışı geliştirmek amacıyla sonsuzluk kavramının ilkokul ve ortaokul öğretim programlarına entegre edilmesine odaklanması önerilmektedir.

Keywords

Betimsel içerik analizi , gerçek sonsuzluk , potansiyel sonsuzluk , sonsuzluk algısı.

A Glimpse into Infinity in Mathematics Education: A Descriptive Content Analysis Study

https://izlik.org/JA75BY24AN

Abstract

The purpose of this study is to examine trends in research regarding the concept of infinity in education using a descriptive content analysis method. To this end, 224 studies conducted between 1956 and 2024 were analyzed by scanning various databases. The studies were examined in terms of publication year, type, research method, sample characteristics, data collection tools, and research outcomes. The findings revealed that the highest number of studies was conducted between 2006 and 2010, and qualitative research methods constituted the majority. Regarding sample distribution, university students were the most frequently studied group. In terms of purpose, studies aimed at providing theoretical information were predominant, whereas research focusing on teaching the concept of infinity was limited. The analysis also indicated that learners develop different schemas before and after formal education, and prior learning can act as an epistemological obstacle in advanced mathematical topics. This study contributes to the literature by revealing a significant gap in research regarding early age groups and highlighting the need for experimental studies. Consequently, it is recommended that future research focus on integrating the concept of infinity into primary and middle school curricula to foster intuitive understanding before formal definitions are introduced.

Keywords

Descriptive content analysis , actual ınfinity , potential ınfinity , perception of ınfinity.

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