Araştırma Makalesi

Assessment of Argumentation and Proof-Based Mathematics Instruction

Sayı: 3 21 Haziran 2026
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Assessment of Argumentation and Proof-Based Mathematics Instruction

Öz

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.

Anahtar Kelimeler

Etik Beyan

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.

Kaynakça

  1. Aberdein, A. (2005). The Uses of Argument in Mathematics. Argumentation 19, 287–301. https://doi.org/10.1007/s10503-005-4417-8
  2. Adal, A. A. (2023). Investigating the effect of argumentation-based instruction on eighth-grade students' mathematics literacy achievement. [Unpublished doctoral dissertation, 834547]. Bursa Uludağ University
  3. Almpani, S., Stefaneas, P., & Vandoulakis, I. (2023). Formalization of mathematical proof practice through an argumentation-based model. Global Philosophy, 33(3), 33. https://doi.org/10.1007/s10516-023-09685-z
  4. Andrews, R. (2015). Critical thinking and/or argumentation in higher education. In The Palgrave handbook of critical thinking in higher education (pp. 49-62). Macmillan US.
  5. Aydın Güç, F., & Kuleyin, H. (2021). The reflection of argumentation quality on the mathematical modelling process. Journal of Uludag University Faculty of Education, 34(1), 222-262. https://doi.org/10.19171/uefad.850230
  6. Balacheff, N. (2002). The researcher epistemology: a deadlock for educational research on proof. In Conference on Understanding Proof and Proving to Understand 2002.
  7. Bereiter, C., & Scardamalia, M. (1996). Rethinking learning. (D. R. Olson & N. Torrance, Eds.), in The handbook of education and human development(pp. 485-513). MA: Blackwell Publishers
  8. Brown, R. (2017). Using collective argumentation to engage students in a primary mathematics classroom. Math Ed Res J. 29, 183–199. https://doi.org/10.1007/s13394-017-0198-2

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik Eğitimi

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

21 Haziran 2026

Gönderilme Tarihi

12 Ekim 2025

Kabul Tarihi

13 Nisan 2026

Yayımlandığı Sayı

Yıl 2026 Sayı: 3

Kaynak Göster

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. Bartın University Journal of Faculty of Education. 2026;(3):913-940. doi:10.14686/buefad.1801963
Chicago
Orman, Pınar, ve Mustafa Çelebi. 2026. “Assessment of Argumentation and Proof-Based Mathematics Instruction”. Bartın University Journal of Faculty of Education, sy 3: 913-40. https://doi.org/10.14686/buefad.1801963.
EndNote
Orman P, Çelebi M (01 Haziran 2026) Assessment of Argumentation and Proof-Based Mathematics Instruction. Bartın University Journal of Faculty of Education 3 913–940.
IEEE
[1]P. Orman ve M. Çelebi, “Assessment of Argumentation and Proof-Based Mathematics Instruction”, Bartın University Journal of Faculty of Education, sy 3, ss. 913–940, Haz. 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 (01 Haziran 2026): 913-940. https://doi.org/10.14686/buefad.1801963.
JAMA
1.Orman P, Çelebi M. Assessment of Argumentation and Proof-Based Mathematics Instruction. Bartın University Journal of Faculty of Education. 2026;:913–940.
MLA
Orman, Pınar, ve Mustafa Çelebi. “Assessment of Argumentation and Proof-Based Mathematics Instruction”. Bartın University Journal of Faculty of Education, sy 3, Haziran 2026, ss. 913-40, doi:10.14686/buefad.1801963.
Vancouver
1.Pınar Orman, Mustafa Çelebi. Assessment of Argumentation and Proof-Based Mathematics Instruction. Bartın University Journal of Faculty of Education. 01 Haziran 2026;(3):913-40. doi:10.14686/buefad.1801963

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