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NTIS 바로가기Journal of the Korean Society of Mathematical Education. Series E: Communications of Mathematical Education, v.30 no.1, 2016년, pp.23 - 46
강정기 (김해대곡중학교)
This study is aimed to implement a preferred generalization classes for gifted students. By designing and applying the generalization lesson using GSP, we tried to investigate the characteristics on the class. To do this, we designed a lesson on generalization of Viviani theorem and applied to 13 8t...
핵심어 | 질문 | 논문에서 추출한 답변 |
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융통성이란 무엇인가? | 왜냐하면 일반화는 수학적 창의성을 구성하는 요소 중 융통성과 직접 닿아 있기 때문이다. 융통성은 고정된 사고를 극복하고 서로 다른 범주의 반응과 아이디어를 낼 수 있는 능력(신승윤·류성림, 2014)으로, 현재의 사고에서 보다 확장된 사고로의 이동을 지향 하는 일반화의 속성과 닮아 있다. 따라서 영재 학생을 대상으로 일반화의 경험을 갖게 하는 것은 중요하며, 이와 관련한 몇몇 시도가 있었다(이헌수·이광호, 2012; 최병훈·방정숙, 2012). | |
GSP는 어떻게 활용할 수 있는가? | 대표적인 프로그램으로 GSP나 Cabri 3D가 개발되었으며, 이들은 학생 중심의 탐구 활동이 주가 되는 교수·학습 방식의 변화를 야기하였다(손홍찬, 2011). 특히 GSP의 경우 유클리드 평면 기하에서 학생들의 추론에 대한 즉각적인 피드백을 가능하게 함으로써, 새로운 수학적 사실을 학생 스스로 발견할 수 있는 추론의 도구로 활용 가능하다. | |
국내 영재교육기관은 어떻게 구분되는가? | 국내 영재교육기관은 크게 3가지로 구분된다. 교육감 관할의 영재학급, 교육청·대학에서 운영하는 영재교육원, 고교생 이상에게 영재교육을 실시하는 기관으로 정부에서 운영하는 영재학교가 있다. |
강정기 (2013). 본질적 속성 추출을 통한 일반화에 관한 연구. 경상대학교 박사학위논문. (Kang, J.G. (2013). A study on the generalization through the extraction of essential attributes. Doctoral dissertation, GSNU.)
김유경.방정숙 (2012). 초등학교 수학 수업에 나타난 수학적 연결의 대상과 방법 분석. 한국수학교육학회지 시리즈 A , 51(4), 455-469. (Kim, Y.K. & Bang, J.S. (2012). An analysis of th objects and methods of mathematical connections in elementary mathematics instruction, The Mathematical Education, 51(4), 455-469.)
문혜령.고상숙 (2010). GSP를 활용한 삼각함수에서 학습부진아의 수학화 과정에 관한 사례연구. 한국수학교육 학회지 시리즈 A , 49(3), 353-373. (Moon, H.R., & Choi-Koh, S.S. (2010). A case study on slow learners' mathematization of trigonometric functions, using GSP. The Mathematical Education, 49(3), 353-373.)
송상헌.정영옥.장혜원 (2006). 초등학교 6학년 수학영재들의 기하 과제 증명 능력에 관한 사례 분석. 학교수학, 16(4), 327-344. (Song, S.H., Jeong, Y.O., & Chang, H.W. (2006). Mathematically gifted 6th grade students' proof ability for a geometrric problem. School Mathematics, 16(4), 327-344.)
신승윤.류성림 (2014). 초등수학영재의 수학 창의적 문제해결력과 메타인지와의 관계. 한국수학교육학회지 시리즈 C , 17(2), 95-111. (Shin, S.Y., & Rye, S.R. (2014). The relationship between mathematically gifted elementary students' math creative problem solving ability and metacognition. Education of Primary School Mathematics, 17(2), 95-111.)
신유경.강윤수.정인철 (2008). GSP가 증명학습에 미치는 영향: 사례연구. 한국학교수학회논문집, 11(1), 55-68. (Shin, Y.G., Kang, Y.S., & Jeong, I.C. (2008). An influence of GSP to learning process of proof of middle school students: case study. Journal of the Korea School Mathematics Society, 11(1), 55-68.)
영재교육종합데이터베이스 (2015). https://ged.kedi.re.kr/stss/viewStatistic.do. (Gifted Education Database (2015). https://ged.kedi.re.kr/stss/viewStatistic.do.)
유미경.류성림 (2013). 초등수학영재와 일반학생의 패턴의 유형에 따른 일반화 방법 비교. 학교수학, 15(2), 459-479. (Yu, M.G., & Rye, S.R. (2013). A comparison between methods of generalization according to the types of pattern of mathematically gifted students and non-gifted students in elementary school. School Mathematics, 15(2), 459-479.)
장한나라 (2013). 우리나라 수학영재교육의 현황과 효율적 운영방안 : 미국, 중국, 싱가포르와 비교하여. 경희대학교 교육대학원 석사학위논문. (Chang, H.N.R. (2013). Present Condition of Our Country's Mathematics Talent Education and an Efficient Management Plan: Compared with the US, China, Singapore. Master's thesis, GHU.)
최병훈.방정숙 (2012). 초등 4,5,6학년 영재학급 학생의 패턴 일반화를 위한 해결 전략 비교. 수학교육학연구, 22(4), 619-636. (Choi, B.H., & Bang, J.S., (2012). A comparison of mathematically gifted students' solution strategies of generalizing geometric patterns. The Journal of Education Research in Mathematics, 22(4), 619-636.)
최종현.송상헌 (2005). 주제 탐구형 수학 영재 교수.학습 자료 개발에 관한 연구. 학교수학, 7(2), 169-192. (Choi, J.H., & Song, S.H. (2005). A study on the development of project based teaching.learning materials for the mathematically gifted. School Mathematics, 7(2), 169-192.)
Ainley, J., Bills, L., & Wilson, K. (2005). Designing spreadsheet-based tasks for purposeful algebra. International Journal of Computers for Mathematical Learning, 10(3), 191-215.
Becker, J. R., & Rivera, F. (2005). Generalization strategies of beginning high school algebra students. In Chick, H. L., & Vincent, J. L.(Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education(Vol.4, pp121-128). Melbourne: PME.
Bills, L., Ainley, J., & Wilson, K. (2006). Modes of algebraic communication-moving between natural language, spreadsheet formulae and standard notation. For the Learning of Mathematics, 26(1), 41-46.
Bills, L., & Rowland, T. (1999). Examples, generalization and proof. In L. Brown(Ed.), Making meaning in mathematics. Advanced in mathematics education(Vol.1. pp.103-116). York, UK: QED.
Chazan, D. (1993). High school geometry students' justification for their views of empirical evidence and mathematical proof, Educational Studies in Mathematics 24, 359-387.
Cho, H., Han, H., Jin, M., Kim, H., & Song, M. (2004). Designing a microworld: Activities and programs for gifted students and enhancing mathematical creativity. Proceeding of the 10th conference of the International Congress on Mathematics Education, TSG 4: Activities and Programs for Gifted Students, pp.110-118. Copenhagen, Demark.
Davydov, V. V. (1990). Types of generalization in instruction. In Kilpatrick, J.(Ed.) Soviet Studies in Mathematics Education. Vol2. Reston VA: NCTM.
El-Demerdash, M. & Kortenkamp, U. (2009) The effectiveness of an enrichment program using dynamic geometry software in developing mathematically gifted students' geometric creativity. Proceedings of the 9th International Conference on Technology in Mathematics Teaching, Metz, France: ICTMT 9.
Guin, D., & Trouche, L. (1999). The complex process of converting tools into mathematical instruments: The case of calculators. International Journal of Computers for Mathematical Learning, 3(3), 195-227.
Hadas, N., Hershkowitz, R., & Schwarz, B. B. (2000). The role of contradiction and uncertainty in promoting the need to prove in dynamic geometry environments. Educational Studies in Mathematics, 44, 127-150.
Harel, G., & Tall, D. (1989). The general, the abstract and the generic in advanced mathematics. For the Learning of Mathematics, 11(1), 38-42.
Jerwan, F. (2002). Thinking education: Concepts and applications. Oman, Jordan: Dar Alfikr.
Jonassen, D. (2000). Computers in the classroom: Mindtools for critical thinking (2nd ed.). Englewood Cliffs, New Jersey: Merrill.
Lee, K. H. (2005). Mathematically gifted students' geometrical reasoning and informal proof. In Helen, L. C. & Jill, L. V.(Eds.), Proceeding 29th Conference of the International Group for the Psychology of Mathematics Education(Vol3, pp.241-248).
Lee, L. (1996). An initiation into algebraic culture through generalization activities. In N. Bendnarz, C. Kieran, & L. Lee(Eds.), Approaches to algebra: Perspectives for research and teaching(pp. 87-106). Dordrecht, Netherlands: Kluwer.
Liu, M., & Bera, S. (2005). An analysis of cognitive tool use patterns in a hypermedia learning environment. Educational Technology Research and Development, 53(1), 5-21.
Mason, J. (1996). Expressing generality and roots of algebra. In Bendnarz, N., Kieran, C., & Lee, L.(Eds.), Approaches to algebra(pp65-86) . Dordrecht: Kluwer.
Mohamed, A. I. Z. (2003). Enrichment program in geometry for creative thinking development for talented students, in mathematics in the preparatory stage. Master thesis, Tanta University, Egypt.
Orton, A., & Orton, J. (1999). Pattern and the approach to algebra. In A. Orton(Ed.), Pattern in the teaching and learning of mathematics(pp.104-120). London, UK: Cassell.
Pyryt, M. (2003). Technology and the gifted. In Colangelo, N., & Davis, G.(Eds.), Handbook of gifted education (pp.582-589). Boson: Allyn & Bacon.
Radford, L. (2003). Gestures, speech, and the spouting of signs: A semiotic-cultural approach to students' types of generalization. Mathematical Thinking and Learning, 5(1), 37-70.
Renzulli, J. S. (2000). The identification and development of giftedness as a paradigm for school reform.
Sheffield, L. J. (1999). Developing mathematically promising students. Reston VA: NCTM.
Sheffield, C. C. (2007). Technology and the gifted adolescent: Higher order thinking, 21st century literacy, and the digital native. Meridian Middle School Computer Technologies Journal, 10, 5. Retrieved from http://www.ncsu.edu/meridian/sum2007 /gifted/index.htm
Stacey, K. (1989). Finding and using patterns in linear generalizing problems. Educational Studies in Mathematics, 20, 147-164.
Stacey, K., & McGregor, M. (2001). Curriculum reform and approaches to algebra. In R. Sutherland, T. Rojano, A. Bell, & R. Lins(Eds.), Perspectives on school algebra(pp. 141-154). Dordrecht, Netherlands: Kluwer.
Van Tassel-Baska, J. (1986). Effective curriculum and instructional models for talented students. Gifted Child Quarterly, 30(4), 164-169
Zazkis, R., Liljedahl, P., & Chernoff, E. J. (2007). The role of examples in forming and refuting generalizations. ZDM Mathematics Education, 40, 131-141.
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