제7차 敎育課程 改正에 따른 離散數學의 必要性에 관한 硏究 = (A) Study of Necessities of Discrete Mathematics due to the 7th Reformed Curriculum

다국어 초록 (Multilingual Abstract)

When we examine the trends of the world in the mathematic education a discrete mathematics becomes more and more important. Discrete mathematics can improve students' mathematical ability by sorting mathematically and thinking logically discrete situation problems and it has been taken as one of the optional subjects in the 7th curriculum.
For the teachers' case it is expected that as they have not been taught the discrete mathematics in the college they are reluctant to teach the subject. For the students' case it's possible that as they would think of the discrete mathematics as existing mathematics they would not take it as their optional subject.
The aim of this paper is to collect and evaluate a variety of documents related with the discrete mathematics, to present the contents of the discrete mathematics introduced in the 7th curriculum and the example of real life and to emphasize the necessity of discrete mathematics. This study will be useful to make this paper be utilized as a valuable reference document and to make this subject be a good optional subject.
So as to achieve this aim, the main stream of this paper is as follows: the trends of current mathematic education, the origin and concept of the discrete mathematics. The content of the discrete mathematics in the 7th curriculum made by the Education Department is introduced: counting, graph, algorithm, decision making and optimization presenting the concrete contents and example of the real-life.
Discrete mathematics enriches the curriculum and makes up the subject of traditional mathematics. The chance of studying discrete maths in high school will be given and the existing maths will be enriched. therefore it is expected that students strengthen their adaptability to the future and they solve the mathematic problems by means of a computer. Afterward in order for the students interested in development of computer programs to develop the programs for solving the mathematic problems, the importance of discrete mathematics should be emphasized in high school.

목차 (Table of Contents)

• 목차 = ⅰ
• 제1장 서론 = 1
• 제1절 연구의 필요성 및 목적 = 1
• 제2절 연구내용 = 2
• 제2장 수학 교육의 최근 동향 = 4
• 제1절 미국 수학 교육의 동향 = 4
• 1. UCSMP 중등 교육과정에서의 계산기 = 4
• 2. UCSMP 중등 교육과정에서의 컴퓨터 = 5
• 3. UCSMP 중등 교육과정에서 Graphing Calculator = 5
• 제2절 우리나라 수학 교육과정의 변천 = 8
• 1. 교수요목기(1946～1954) = 8
• 2. 제1차 교육 과정기(1954～1963) = 9
• 3. 제2차 교육과정기(1963～1973) = 9
• 4. 제3차 교육과정기(1973～1981) = 10
• 5. 제4차 교육과정기(1981～1987) = 11
• 6. 제5차 교육과정기(1987～1992) = 12
• 7. 제6차 교육과정기(1993～1997) = 13
• 8. 제7차 교육과정기(2000 ～ ) = 13
• 제3절 우리 나라 수학교육의 동향 = 14
• 제3장 이산수학 = 17
• 제1절 이산수학의 기원 = 17
• 제2절 이산수학이란? = 18
• 제4장 중등학교 수학 교육과정에서 이산수학의 필요성 = 20
• 제1절 제7차 교육과정에서 이산수학의 내용 = 20
• 1. 성격 = 20
• 2. 목표 = 20
• 3. 내용 = 21
• 제2절 제7차 교육과정에서 이산수학 내용에 대한 실생활의 예 = 24
• 1. 선택과 배열 = 24
• 2. 그래프 = 26
• 3. 알고리즘 = 29
• 4. 의사결정의 최적화 = 33
• 제3절 중등학교에서 이산수학의 필요성 = 36
• 1. 4개 영역에 대한 지도의 필요성 = 36
• 2. 일반적인 측면에서 이산수학의 필요성 = 40
• 제5장 요약 및 결론 = 44
• 참고문헌 = 45
• ABSTRACT = 47