Examining the Processes of High School Students to do Proof without Words

Abstract

There are opinions about approaching the proof in mathematics education need to change as providing students to understand the mathematical proof rather than developing formal mathematical proof skills. In this context, proofs without words described as informal proofs can be used in proof teaching. The purpose of this study was to investigate the processes of high school students to do proofs without words. This study was designed as the case study a high school in Turkey. Consequently, activities of proof without words that allow the student to take an active role in the proof process can be presented as an alternative method in proof teaching and the proof without words can be used for teaching students the stages of proof process. It is necessary for teachers to be aware of the proof process stages and guide the students.

Ortaöğretim Matematik Öğretmen Adaylarının Sözsüz İspat Becerilerinin Bağlamsal İncelenmesi: 1’den n’ye Kadar Olan Tamsayıların Toplamı Durumu

“…Researchers of this study, in their previous studies, obtained results about the difficulty in proof without words at all levels. They observed that students cannot generalize from a single example situation given in the visual (Demircioglu and Polat, 2015;Demircioglu and Polat, 2016;Polat and Akgün, 2020). In order to examine this problem, the data collection tool selected, and the explanations of the preservice mathematics teachers about the proof without words analyzed.…”