원주율의 상수성과 아르키메데스의 계산법
The Nature of Pi as a Constant and Archimedes' Calculation Method
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Some of school mathematics contents that have deep mathematical meanings are regarded as obvious and their importance is frequently overlooked. We first reexamined the mathematical meaning of pi as a constant. Then we indicated the educational implications of Archimedes' calculation method of pi and finally underlined the availability of pi as a valuable research topic in school mathematics.
Abstract
Some of school mathematics contents that have deep mathematical meanings are regarded as obvious and their importance is frequently overlooked. We first reexamined the mathematical meaning of pi as a constant. Then we indicated the educational implications of Archimedes' calculation method of pi and finally underlined the availability of pi as a valuable research topic in school mathematics.
참고문헌 (12)
- 최영기, "유클리드 기하의 고유한 성질로서의 삼각형 넓이 공식에 대한 재음미", 수학교육, 45(3), pp.365~371 (2006), 한국수학교육학회
- Beckman, P., "파이의 역사" (2002), 경문사
- Dijksterhuis, E.J., "Archimedes" (1987), Princeton university press
- Dodes, I.A., "Mathematics: Its structure, Logic, and Method;The role of axiomatics and problem solving in mathematics", pp.27~43 (1966), Ginn and Company
- Greenberg, M.J., "Euclidean and non-euclidean geometries: Development and history" (1980), W. H. Freeman and Company
- Heath, T.L., "The thirteen books of the Elements" (1956), Dover Publications
- Heath, T.L., "A History of Greek Mathematics" (1981), Dover Publications
- Heath, T.L., "The works of Archimedes" (2002), Dover Publications
- Klein, F., "Elementary mathematics from an advanced standpoint - Geometry" (1939), Dover Publications
- McCleary, John, "Geometry from a differentiable viewpoint" (1994), Cambridge university press
- Toeplitz, O., "The Calculus: A genetic approach" (1963), The University of Chicago Press
- Weeks, J.R., "The shape of space" (2002), Marcel Dekker