등비수열의 정의에 대한 연구
On the Definition of Geometrical Progression of the High school
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We discovered that definition of a Geometrical Progression(Sequence) have some differences in domestic textbooks & some foreign countries' books. This will be able to cause a chaos when students divide whether a sequence is a Geometrical Progression(Sequence) or not, and a question error when teachers compose questions about convergence conditions of Infinite Geometric progressions & series. We took a question investigation for students about definition of a Geometrical Progression(that is called G. P.), we discovered that high level students have an error about definition of a G. P.. So We modified expressions of terminology in domestic textbooks appropriately through a Geometrical Progression(Sequence), infinite series, & infinite geometrical series in some foreign countries' books.
Abstract
We discovered that definition of a Geometrical Progression(Sequence) have some differences in domestic textbooks & some foreign countries' books. This will be able to cause a chaos when students divide whether a sequence is a Geometrical Progression(Sequence) or not, and a question error when teachers compose questions about convergence conditions of Infinite Geometric progressions & series. We took a question investigation for students about definition of a Geometrical Progression(that is called G. P.), we discovered that high level students have an error about definition of a G. P.. So We modified expressions of terminology in domestic textbooks appropriately through a Geometrical Progression(Sequence), infinite series, & infinite geometrical series in some foreign countries' books.
참고문헌 (35)
- 고다이라 구니히코, "수학이 살아야 나라가 산다" (1999), 경문사
- 김광환, "해석학 입문" (1996), 청문각
- 김동화, "고등학교 수학에서 0^0의 지도 방안", 수학교육 논문집, 24(2), pp.283~300 (2010), 한국수학교육학회
- 김수환, "수학 I" (2012), (주)교학사
- 김해경, "수학 I" (2012), ㈜더텍스트
- 김흥기, "초ㆍ중등학교 수학에서 다루는 비와 닮음에 대한 고찰", 수학교육학연구, 19(1), pp.1~24 (2009), 대한수학교육학회
- 나귀수, "PISA 2003에 나타난 우리나라 학생들의 수학적 소양의 특징", 수학교육학연구, 15(2), pp.147~176 (2005), 대한수학교육학회
- 양승갑, "수학 I" (2012), ㈜금성출판사
- 우정호, "수학 Ⅰ" (2012), (주)두산동아
- 유무하, "수학 I" (2012), ㈜박영사
- 유희찬, "수학 I" (2009), (주)미래엔 컬처그룹
- 윤재한, "수학 I" (2012), ㈜더텍스트
- 이강섭, "수학 I" (2010), ㈜지학사
- 이동원, "수학 I 익힘책" (2012), ㈜법문사
- 이만근, "수학 I" (2009), ㈜고려출판
- 이종규, "질적 연구 방법론" (2006), 교육과학사
- 이준열, "수학 I" (2012), ㈜천재교육
- 정경미, "수학교수학의 인류학적 이론에 입각한 수학 교수 방법 : '수열의 극한'을 중심으로", 박사, pp.2010
- 정상권, "수학 I" (2012), ㈜금성출판사
- 최용준, "수학 Ⅰ" (2012), ㈜천재교육
- 최용준, "수학 Ⅰ 익힘책" (2012), ㈜천재교육
- 황석근, "수학 I" (2012), ㈜교학사
- 황선욱, "수학 I" (2012), ㈜좋은책신사고
- 황우형, "수학" (2012), ㈜미래엔
- David, C., "International Comparative Research in Mathematics Education, In Second International Handbook of Mathematics Education", pp.143~184 (2003), Kluwer Academic Publishers
- Eicholz, R. E., "Addison-Wesley Mathematics" (1991), Addison-Wesley Publishing Company
- Eves, A., "수학사" (1995), 경문사
- Fitzpatrick, M. P., "Advanced Calculus A Course in Mathematical Analysis" (1996), PWS Publishing Company a division of International Thomson Publishing Inc
- Glfand, I. M., "Algebra" (1993), Birkhäuser Boston, Inc
- Hall, H. S., "Higher algebra" (1940), MacMillan
- Kaufmann, J. E., "Elementary Intermediate Algebra: A Combined Approach" (2009), Thomson Learning Inc
- MacGregor, M., "Dose Learning Algebra Benefit Most People?", Proceedings of the 12th ICMI Study Conference The Future of the Teaching and Learning of Algebra, 2, pp.405~411 (2001)
- Wikipedia, "Geometric progression" (2012), Wikimedia Foundation Inc
- ウィキペディア, "等比数列" (2012), Wikimedia Foundation Inc
- 维基百科, "等比数列" (2012), Wikimedia Foundation Inc