Research Article

Assessment of Argumentation and Proof-Based Mathematics Instruction

Number: 3 June 21, 2026
TR EN

Assessment of Argumentation and Proof-Based Mathematics Instruction

Abstract

Purpose:   One of the fundamental goals of educational systems is to cultivate individuals who are capable of accessing information and critically evaluating its accuracy. The ability to engage in logical reasoning and to present arguments coherently and persuasively has become an increasingly essential competency in the current societal context. This study aims to examine students’ argumentation schemes, proof schemes, and their perspectives within the context of Argumentation and Proof-Based Mathematics Instruction. Method:   A qualitative research design was employed to explore the impact of Argumentation and Proof-Based Mathematics Instruction (APBMI). The study was conducted with 30 sixth-grade students in Kayseri, Türkiye. To conduct a detailed analysis of qualitative data, 12 students were selected from among the thirty students and interviewed. A 20-hour instructional program was designed and implemented over six weeks. Findings:   Based on the analysis of students’ responses, two levels of argumentation quality, “demonstrate an acceptable level of argumentation quality” and “demonstrate a good level of argumentation quality,” were identified. In addition, students’ proof schemes were analyzed using specially designed proof tasks. Students were able to construct external, experimental, and analytical proof schemes. Content analysis of the interview data revealed three main themes: usefulness, effectiveness, and collaborative learning.  Conclusion:    The results indicate that students demonstrated varying levels of competence in argumentation processes. Regarding APBMI, students generally held positive views concerning its usefulness, effectiveness, and capacity to support collaborative learning. The fact that students produced evidence at external, experimental, and analytical levels reflects the diversity of their proof skills. Taken together, these findings suggest that APBMI can make a positive contribution to classroom practices in mathematics instruction.

Keywords

Ethical Statement

We wish to confirm that this manuscript has not been published, nor is it under consideration for publication elsewhere. Furthermore, we declare that there are no conflicts of interest associated with this work. And all necessary ethical permissions for the research were obtained from …University Social and Human Sciences Ethics Committee with the approval date October 31, 2023 and issue number …. The study was conducted with the official approval of the …. Governorship and in accordance with ethical research standards, including obtaining informed consent from all participants.

References

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Details

Primary Language

English

Subjects

Mathematics Education

Journal Section

Research Article

Publication Date

June 21, 2026

Submission Date

October 12, 2025

Acceptance Date

April 13, 2026

Published in Issue

Year 2026 Number: 3

APA
Orman, P., & Çelebi, M. (2026). Assessment of Argumentation and Proof-Based Mathematics Instruction. Bartın University Journal of Faculty of Education, 3, 913-940. https://doi.org/10.14686/buefad.1801963
AMA
1.Orman P, Çelebi M. Assessment of Argumentation and Proof-Based Mathematics Instruction. BUEFAD. 2026;(3):913-940. doi:10.14686/buefad.1801963
Chicago
Orman, Pınar, and Mustafa Çelebi. 2026. “Assessment of Argumentation and Proof-Based Mathematics Instruction”. Bartın University Journal of Faculty of Education, nos. 3: 913-40. https://doi.org/10.14686/buefad.1801963.
EndNote
Orman P, Çelebi M (June 1, 2026) Assessment of Argumentation and Proof-Based Mathematics Instruction. Bartın University Journal of Faculty of Education 3 913–940.
IEEE
[1]P. Orman and M. Çelebi, “Assessment of Argumentation and Proof-Based Mathematics Instruction”, BUEFAD, no. 3, pp. 913–940, June 2026, doi: 10.14686/buefad.1801963.
ISNAD
Orman, Pınar - Çelebi, Mustafa. “Assessment of Argumentation and Proof-Based Mathematics Instruction”. Bartın University Journal of Faculty of Education. 3 (June 1, 2026): 913-940. https://doi.org/10.14686/buefad.1801963.
JAMA
1.Orman P, Çelebi M. Assessment of Argumentation and Proof-Based Mathematics Instruction. BUEFAD. 2026;:913–940.
MLA
Orman, Pınar, and Mustafa Çelebi. “Assessment of Argumentation and Proof-Based Mathematics Instruction”. Bartın University Journal of Faculty of Education, no. 3, June 2026, pp. 913-40, doi:10.14686/buefad.1801963.
Vancouver
1.Pınar Orman, Mustafa Çelebi. Assessment of Argumentation and Proof-Based Mathematics Instruction. BUEFAD. 2026 Jun. 1;(3):913-40. doi:10.14686/buefad.1801963

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Bartın University Journal of Faculty of Education