Constructing prime number and prime factorization with realistic mathematics education: The case of 6th grade students
Nehir Keyik 1 , Rezan Yilmaz 2 *
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1 Bafra Mustafa Erdin Middle School, Ministry of National Education, Samsun, TÜRKİYE2 Department of Science and Mathematics Education, Faculty of Education, Ondokuz Mayis University, Samsun, TÜRKİYE* Corresponding Author

Abstract

This research investigates the construction of prime number and prime factorization concepts through realistic mathematics education (RME). The research was conducted in a classroom setting with 6th grade students and was designed qualitatively as a case study. A readiness test was prepared to assess the students’ preliminary knowledge of these concepts. The teaching process was implemented using activities based on RME principles. Considering the test results, researcher observations, and teacher views, three participants with different knowledge levels were selected, and two interviews were conducted with each of them. The data obtained from the teaching process and interviews were analyzed according to the APOS (action-process-object-schema) theoretical framework. The results demonstrate that the participants conceptualize the prime number and prime factorization as objects. It has been determined that the coordination involving divisor, multiple, odd-even numbers, factor tree, divisibility rules, and algorithm processes plays a fundamental role in conceptualizing prime numbers and prime factorization.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 21, Issue 1, February 2026, Article No: em0864

https://doi.org/10.29333/iejme/17798

Publication date: 26 Jan 2026

Article Views: 36

Article Downloads: 23

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