Matematikçilerin Teoremlerin ve İspatların Kabulü İçin Kişisel Kriterleri: Türkiye Örneği

Abstract

Bu çalışmada, matematikçilerin uzman oldukları araştırma alanlarına yönelik teoremlerin doğruluğunu, uzman olmadıkları diğer araştırma alanlarındaki teoremlerin doğruluğunu ve bir araştırma makalesindeki hakemlik süreçlerinde bir teoremin ve ispatının doğruluğunu kabul ederken hangi kriterlere sahip olduklarının araştırılması amaçlanmıştır. Çalışma, 26 farklı üniversitede matematik bölümlerinde görev yapan ve araştırmaya katılmaya gönüllü olan 102 matematikçi ile yürütülmüştür. Veriler, Matematiksel Teoremlerin Kabulü ve İspat Anketi (MTKİA) ile elde edilmiştir. Elde edilen verilerin analizinde betimsel ve kestirimsel istatistik yöntemleri kullanılmıştır. Araştırma sonucunda matematikçilerin hem uzman oldukları araştırma alanları ile ilgili hem de diğer araştırma alanları ile ilgili teoremlerin ve ispatlarının doğruluğunu kabul etmeleri için kendi incelemeleri ile sonucu doğrulamaları gerektiği kriterlerinin olduğu tespit edilmiştir. Ayrıca matematikçilerin hakemlik süreçlerindeki kriterlerin de farklı olmadığı görülmüştür

Keywords

• Matematikçilerin kişisel kriterleri, teorem, ispat

Mathematicians’ Individual Criteria for Accepting Theorems and Proofs: The Sample of Turkey

Abstract

The aim of this study is to research the criteria employed by mathematicians when accepting the correctness of theorems in their research areas, correctness of theorems in other research areas in which they are not expert, and the correctness of a theorem and its proof in their reviewing process of a research article. The study was conducted with 102 mathematicians who volunteered to participate in the research. State universities located in Turkey were considered in selecting the participants, and the researcher selected the academicians who were working at the department of mathematics in these universities. Twenty-six of these universities could be included in the research since the research was conducted according to the principle of voluntariness. The data were obtained via Survey on Accepting Mathematical Theorems and Proofs (SAMTP). Descriptive and predictive statistics methods were used in analyzing the data obtained. In view of the research, it was found that mathematicians had such criterion that they had to verify the result through their own examinations in order to accept correctness of theorems and their proofs related to both and other research areas. Furthermore, it was observed that the mathematicians’ criteria are not different in the reviewing processes

Keywords

• Mathematicians individual criteria, theorem, proof

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