Promoting mathematical proof from collective argumentation in primary school

Abstract

The purpose of this research is to promote the construction of mathematical proof from argumentation at the primary level. To show this is a viable instructional strategy at the primary level, we use a teaching experiment methodology and a task related to geometric proof in this research study. To model and analyze the collective argumentation that took place in the classroom, we reconstructed the discussion using the extended Toulmin model. Collective argumentation at the primary level is a valuable opportunity for primary students and their teachers to generate mathematical proof through collaboration. K E Y W O R D Sargumentation, primary school, proof, teaching experiment | 5 CERVANTES-BARRAZA ET Al.

natureza das estruturas globais de argumentação em um contexto de ensino baseado em argumentação coletiva

“…Uma abordagem que tem ganhado destaque é o ensino baseado em argumentação coletiva (Conner et al, 2014;Cervantes-Barraza et al, 2020) durante uma investigação matemática (Carneiro et al, 2023).…”

Kemampuan Mengkonstruksi Bukti Geometri Mahasiswa Calon Guru Matematika Pada Perkuliahan Geometri

“…Proses pembuktian akan lebih efektif jika seseorang tepat dalam menentukan konjektur yang selanjutnya menggunakan argumentasi yang logis dalam membuktikan konjektur yang telah ditentukan (Cervantes-Barraza et al, 2020). Hasil penelitian pada Tabel 2 menunjukan 25,71% mahasiswa tepat dalam menyusun argumentasi bukti sesuai dengan postulat dan teorema yang benar.…”

“…Peran pembuktian bagi seseorang pembelajar matematika sebagai penentu tingkat kematangan dalam proses berpikir matematika (Otten, Gilbertson, Males, & Clark, 2014). Hal tersebut dikarenakan pembuktian yang mengahruskan seseorang menggunakan pengetahuan matematik dan menulisakanya dalam argumen yang logis membutuhkan proses berpikir matematik yang komprehensif (Cervantes-Barraza, Hernandez Moreno, & Rumsey, 2020).…”

Components of collective argumentation in geometric construction tasks

“…More precisely, Conner et al (2014a) put emphasis on the term collective argumentation and explained it as "participating in discussions in a distinctively mathematical way can be framed as collective argumentation, where collective argumentation involves multiple people arriving at a conclusion, often by consensus" (p. 401). Collective argumentation usually involves a teacher and a small group of students who are participating in an investigative process collaboratively (Cervantes-Barraza et al, 2020). While analyzing collective argumentation, Toulmin's argument model ( 2003) is often used in mathematics education research (Carrascal, 2015;Conner et al, 2014b).…”