Browse > Article
http://dx.doi.org/10.7468/jksmee.2015.29.3.313

Analysis of Elementary Textbooks and Guidebook for Teacher regarding the Classification of Angles and Triangles in the Constructivist Perspective  

Roh, Eun Hwan (Department of Mathematics Education, Chinju National University of Education)
Kang, Jeong Gi (Gimhae Daegok Middle School)
Publication Information
Communications of Mathematical Education / v.29, no.3, 2015 , pp. 313-330 More about this Journal
Abstract
The classification is an important activity that is directly related to concept formation. Thus it will need to be made meaningful learning to classification through learner-centered teaching. But we doubts weather teaching and learning to the classification are reflected in the constructivist philosophy of 'learner-centered' well or not. The purpose of this study was to analyze critically the content of elementary textbooks and guidebook for teachers relating to the classification of angles and triangles in terms of constructivism. As a result, there is a problem in the classification of angles that are not provided a reasonable chance to set criteria by agreement of the communities. There is a problem in the classification of triangles that has the characteristics of radical development in terms of diversity. In addition, response of students was predicted like anyone who already acquired knowledge. And it has the shortcomings that the opportunity to have a choice and a discussion to hierarchical and partition classification are not provided. The followings are proposed based on such features; faithful reflection of 'Learner-centered' principle, careful prediction of student response, teaching that focus on process than results.
Keywords
Constructivism; Classification of angles; Classification of triangles;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 국립국어원 (2014). 표준국어대사전. http://stdweb2.korean.go.kr/search/List_dic.jsp(National Istitute of the Korean Language (2014). Standard korean dictionary. http://stdweb2.korean.go.kr/search/List_dic.jsp)
2 교육과학기술부 (2010). 수학 4-1 교사용지도서. 서울: 두산동아(Ministry of Education, Science and Technology (2010). Mathematics 4-1 guidebook for teacher. Seoul: Dusandonga)
3 교육과학기술부 (2011). 수학과 교육과정(교육과학기술부 고시 제2011-361호 [별책 8])(Ministry of Education, Science and Technology (2011). Mathematics curriculum. (MEST Notice NO. 2011-361 [Supplement 8]))
4 교육부 (2014a). 초등학교 수학 4-1(3-4학년군 수학(3)). 서울: 천재교육(Ministry of Education (2014a). Elementary mathematics 4-1 (3-4 grade math group (3)) . Seoul: Chunjae education.)
5 교육부 (2014b). 초등학교 수학 4-1(3-4학년군 수학(3)) 교사용지도서. 서울: 천재교육(Ministry of Education (2014b). Elementary mathematics 4-1 (3-4 grade math group (3)) guidebook for teacher. Seoul: Chunjae education.)
6 김민경.박은정.허지연 (2012). '맥락성' 관점에서 본 수학교과서의 문제 분석. 한국학교수학회논문집, 15(1), 1-25.(Kim, M.K., Park, E.J., & H대, J.Y. (2012). An analysis on mathematics textbook problems focusing on 'contextualization'. Journal of the Korean School Mathematics Society, 15(1), 1-25.)
7 김현정.강완 (2008). 초등학교 수학 교과서에 나타난 사각형 지도 방법에 대한 분석. 한국수학교육학회지 시리즈 C <초등수학교육>, 11(2), 141-159.(Kim, H.J., & Kang, W. (2008). aAn analysis on teaching quadrilaterals in elementary school mathematics textbooks. Education of Primary School Mathematics, 11(2), 141-159.)
8 남승인 (1998). 교사의 수학관과 구성주의. 한국수학교육학회지 시리즈 C <초등수학교육>, 2(1), 15-26.(Nam, S.I. (1998). A study on teacher's mathematical beliefs and constructivism. Education of Primary School Mathematics, 2(1), 15-26.)
9 남승인.신준식.류성림.권성룡.김남균 (2004). 초등 교사 교육을 위한 수학 프로그램 적용 및 확산 연구. 교사교육 프로그램 개발 및 적용 과제, 교육인적자원부.(Nam, S.I., Shin, J.S., Rye, S.L., Kwon, S.R., & Kim, N.G. (2004). An research on application and diffusion of matehmatics program for elementary teacher eduation. Teacher education program development and application challenges, Ministry of Education and Human Resources.)
10 신현정 (2000). 개념과 범주화. 서울: 아카넷.(Sin, H.J. (2000). Concepts and categorization, Seoul: Acanet.)
11 신희경.백석윤 (2004). 제 7차 초등학교 수학 교과서에 제시된 활동유형 분석. 한국초등수학교육학회지, 8(1), 45-61.(Shin, H.K, & Paik. S.Y. (2004). An analysis of activity styles in the elementary school mathematics textbooks by the 7th curriculum. Journal of Elementary Mathematics Education in Korea, 8(1), 45-61.)
12 이선호 (2006). 수학 교수 학습에서 구성주의 모델에 관한 연구. 인하대학교 석사학위논문.(Lee, S.H. (2006). A study on model of constructivism in mathematics education, Master's thesis, IHU.)
13 Byers, V., & Herscovics, N. (1977). Understanding school mathematics. Mathematics Teaching, 81, 24-27.
14 정현실.김진호 (2013). 구성주의 수학 수업이 추론능력에 미치는 영향: 초등학교 2학년 곱셈을 중심으로. 한국학교수학회논문집, 16(1), 31-61.(Jung, H.S., & Kim, J.H. (2013). Effects of mathematical instructions based on constructivism on learners' reasoning ability: With focus on the area of multiplication for 2nd graders, Journal of the Korean School Mathematics Society, 16(1), 31-61.)
15 최병훈.방정숙.송근영.황현미.구미진.이성미 (2006). 한국과 싱가포르의 초등 수학 교과서 비교 분석: 도형과 측정 영역을 중심으로. 대한수학교육학회지 <학교수학>, 8(1), 45-68.(Choi, B.H., Pang, J.S., Song, K.Y., Hwang, H.M., Gou, M.J., & Lee, S.M. (2006). A comparative analysis of elementary mathematics textbooks of korea and singapore: Focused on the geometry and measurement strand. Journal of Korea Society of Educational Studies in Mathematics School Mathematics, 8(1), 45-68.)
16 한국과학창의재단 (2011). 2009 개정 교육과정에 따른 수학과 교육과정 연구(정책연구 2011-11).(Korea Foundation for Advancement of Science and Creativity (2011). A study on mathematics curriculum according to 2009 revision curriculum. (Policy research 2011-11))
17 Kamii, C.(1985). Young children reinvent arithmetic. NY: Teacher College Press.
18 Letterrell, C. (2008). 수학 전쟁: 학부모와 교사를 위한 수학교육 안내서. 서울: 교우사(박성선 역). (원본은 2004에 출판됨).
19 Skemp, R. R., (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20-26.
20 Small, M. (2012). Good questions: Great ways to differentiate mathematics instruction. New York: Teachers College Press.
21 Usiskin, Z., Griffin, J., Witonsky, D., & Willmore, E. (2008). The classification of quadrilaterals: a study in definition. Charlotte, NC: Information Age Publishing.
22 Van de Walle, J. A. (2008). 수학을 어떻게 가르칠 것인가? 서울: 경문사(남승인.서찬숙.최진화 역). (원본은 2004에 출판됨).
23 Villiers, M. D. (1994). The Role and Function of a Hierarchical Classification of Quadrilaterals. For the Learning og Mathematics. 14(1), 11-18.