한국수학교육학회지시리즈A:수학교육 (The Mathematical Education)

  • 제53권4호
  • /
  • Pages.525-539
  • /
  • 2014
  • /
  • 1225-1380(pISSN)
  • /
  • 2287-9633(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지
DOI QR코드

DOI QR Code

초등학교 6학년 학생들의 수학적 정당화의 필요성에 대한 인식과 수학적 정당화 수준

6th grade students' awareness of why they need mathematical justification and their levels of mathematical justification

  • 투고 : 2014.10.14
  • 심사 : 2014.11.18
  • 발행 : 2014.11.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, we suggest implications for teaching mathematical justification with analysis of 6th grade students' awareness of why they needed mathematical justification and their levels of mathematics justification in Algebra and Geometry. Also how their levels of mathematical justification were related to mathematic achievement. 96% of students thought mathematical justification was needed, the reasons were limited for checking their solutions and answers. The level of mathematical justification in Algebra was higher than in Geometry. Students who had higher mathematic achievement had higher levels of mathematical justification. In conclusion, we searched the possibility of teaching mathematical justification to students, and we found some practical methods for teaching.

키워드

참고문헌

  1. 교육과학기술부 (2011). 수학과 교육과정. 교육과학기술부 고시 제 2011-361호 [별책 8]. 서울: 교육과학기술부. (Ministry of Education, Science, and Technology (2011). Mathematics curriculum. MEST announcement 2011-361 [Separate version 8]. Seoul: MEST.)
  2. 김정하 (2010). 초등학생의 수학적 정당화에 관한 연구. 박사학위 논문, 이화여자대학교. Kim, J. (2010). (A study on the mathematical justification of elementary school students. Doctoral dissertation, Ewha Womans University.)
  3. 김정하 (2011). 초등학생과 중학생들의 수학적 정당화에 대한 인식과 단계에 관한 실태 연구, 한국초등수학교육학회지 15(2), 417-435. (Kim, J. (2011). Awareness and Steps of the Mathematical Justification of Elementary and Middle School Students. Journal of Elementary Mathematics Education in Korea 15(2), 417-435.)
  4. 서지수, 류성림 (2012). 수와 연산, 도형 영역에서 초등 3학년 학생들의 수학적 정당화 유형에 관한 연구, 수학교육논문집 26(1), 85-109. (Seo, J. & Ryu, S. (2012). A Study on the Types of Mathematical Justification Shown in Elementary School Students in Number and Operations, and Geometry. Communications of mathematical education 26(1), 85-109.)
  5. 우정호 (2011). 학교수학의 교육적 기초. 서울: 서울대학교출판부. (Woo, J. (2011). Educational basics for the school mathematics. Seoul: Seoul national university publisher.)
  6. 최수미, 정영옥 (2010). 패턴의 일반화 과정에서 나타나는 수학적 정당화 수준 분석, 과학교육논총 23, 23-40. (Choi, S. & Chong, Y. (2010). Analysis on mathematical justification levels in process of generalization of patterns. The bulletin of science education 23, 23-40.)
  7. 홍선미 (2013). 수학적 정당화 분석틀 PIRSO에 근거한 수학적 정당화 활동의 사례 연구. 석사학위 논문, 충북대학교. (Hong, S. (2013). A Qualitative Case Study of Mathematical justification Activities based on a Mathematical justification Framework. PIRSO, Master's Thesis, Chungbuk National University.)
  8. De Villiers, M. (1990). The role and function of proof in mathematics, Pythagoras 24, 17-24.
  9. Fischbein, E. & Kedem, I. (1990). Mathematics and cognition: A research synthesis by the international group for the psychology of mathematics education, WN: Cambridge University Press.
  10. Harel, G. & Sowder, L. (1998). Students' proof schemes: Results from exploratory studies. In A. H. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in collegiate mathematics education. III (234-283). Providence, RI: American Mathematical Society.
  11. Harel, G. & Sowder, L. (2007). Toward comprehensive perspective on proof. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 805-842). Reston, VA: NCTM.
  12. Healy, L. & Hoyles, C. (1998). Justifying and proving in school mathematics. London: Institute of Education of University of London.
  13. Leddy, J. F. (2001). Justifying and proving in secondary school mathematics. doctor of philosophy department of curriculum, teaching and learning, Toronto, ON: Toronto University Press.
  14. Marrades, R. & Gutierrez, A. (2000). Proofs produced by secondary school students learning geometry in a dynamic computer environment. Educational Studies in Mathematics 44, 87-125. https://doi.org/10.1023/A:1012785106627
  15. Tall, D. (2003). 고등수학적 사고 (류희찬, 조완영, 김인수 공역), 서울: 경문사. (원저 Advanced mathematical thinking. 1991년 출판)
  16. Usiskin, Z. (1987). Resolving the continuing dilemmas in school geometry. In M. M. Lindquist & A. P. Shulte (Eds.), Learning and teaching geometry K-12 (17-31). Reston, VA: NCTM.