동적기하프로그램을 활용한 이차곡선 최적화 문제해결에 관한 연구
A Study on the Optimization Problem Solving utilizing the Quadratic Curve using the Dynamic Geometry Software
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The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.
Abstract
The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.
참고문헌 (13)
- 서울대학교 입학처, "2010학년도 서울대학교 구술 면접 기출 문제", 서울대학교, ~ (2010)
- 신항균, "고등학교 수학 익힘책" (2008), 지학사
- 우정호, "고등학교 수학 익힘책" (2008), 두산동아
- 이상희, "부등식 영역의 최대・최소 문제에서 학생들의 수학적 사고에 GeoGebra가 미치는 영향 - 등고선 개념을 중심으로 -", 교원교육, 28(4), pp.1~44 (2012), 교육연구원
- 이준열, "고등학교 수학 익힘책" (2008), 천재교육
- 정석영, "Soccer Angles와 이차곡선", 한국수학교육학회 제47회 전국수학교육연구회프로시딩, pp.251~258 (2011)
- 정자욱, "GeoGebra를 이용한 미적분 수업의 질적 사례연구", 석사, 교육학과 수학교육전공, pp.2012
- 최용준, "고등학교 수학 교과서" (2008), 천재교육
- 황우형, "고등학교 수학 익힘책" (2008), 미래앤
- 황혜정, "수학교육학신론" (2001), 문음사
- G. Polya, "수학과 개연추론 Ⅰ권 수학에서의 귀납과 유추" (2003), 교우사
- James King, "Geometry Turned On!:Dynamic Software in Learning, Teaching, and Research" (1997), Cambridge University Press
