Do Generic Proofs Improve Proof Comprehension?

• 발행기관: 대한수학교육학회
• 저자명: Kristen Lew Keith Weber Juan Pablo Mejía Ramos
• 간행물 정보: 『수학교육학연구』제30권 특별호, 229~248쪽, 전체 20쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2020.08.31

영문 초록

Students often have difficulty understanding the proofs that they read. Some mathematics educators have suggested using generic proofs to improve students’ proof comprehension. However, few empirical studies about students’ perceptions of generic proofs or whether students understand generic proofs better than traditional proofs have been conducted. In this paper, we describe a qualitative interview study and a quantitative experimental study exploring these issues. Our first finding is that generic proofs are popular with students, who believe they have the potential to improve proof comprehension. Our second finding is that in a randomized controlled experiment, students did not learn more from reading a generic proof than a traditional proof. The significance of these findings is discussed at the end of the paper.

키워드

Generic proof Proof Proof comprehension