책 소개
2008 후 지오지브라는 점차적으로 우리나라의 수 학교육 현장에 확산되어 왔다. 지오지브라는 오픈소스 수학 소프트웨어로 수학을 탐구하 고자 하는 모든 사람에게 무료로 제공되고 있으며 다양한 기기1)에서 동일한 환경으로 사 용할 수 있다. 특히 우리나라에서 지오지브라의 확산은 학교 현장의 수학 교사에 의해 자발 적으로 이루어졌으며 2011년에 설립된 한국지오지브라연구소는 지오지브라의 사용법 연 수, 워크샵, 학회를 개최하여 수학 교사 및 수학교육 연구자에게 지오지브라에 대한 정보 를 제공해왔다. 특히 한국지오지브라연구소는 그 동안 지오지브라 관련 서적을 출판하여 지오지브라의 대중화를 위해 노력해 왔다. 지금까지 출판된 지오지브라 관련 서적은 지오지브라의 다양 한 기능에 대하여 설명하고 이를 수학 교수, 학습에 있어 어떻게 활용할 것인가에 대한 이 론적 배경을 제시하는 내용을 담고 있다. 하지만 지오지브라가 많은 사람들에게 보급되고 난 후부터 지오지브라의 고급 기능을 사용한 예제를 만드는 방법을 해설한 서적을 집필해 달라고 많은 분들로부터의 요청이 있었다. 이 책은 그와 같은 요청에 대한 답변이 될 것이다. 이 책은 지오지브라를 사용하여 상당 히 정교하게 상황을 모델링하는 예제를 제시하고 있다. 지오지브라의 각 기능은 수학 기호 의 사용과 거의 동일하기 때문에 이 책에 제시된 모델의 복잡성은 모델 그 자체가 가지는 내부 구조의 수학적 복잡성에서 기인한다고 보아야 할 것이다. 따라서 독자는 이 책의 제 시된 예제를 구현하는 과정을 통해 예제의 모델이 가지는 수학적 구조에 대하여 더 이해하 는 데 도움을 받을 수 있을 것이다. 이 책이 지오지브라의 숨겨진 기능을 발견해 나가는 데 있어 독자 여러분께 도움이 되기 를 바란다.
목차펼치기접기
?머리말_ⅲ 제Ⅰ장 지오지브라 1. 지오지브라의 소개·······················································································3 2. 지오지브라의 역사 ·······················································································3 3. 지오지브라의 설치·······················································································5 4. 설치오류 해결방법·······················································································6 5. 지오지브라의 실행화면················································································9 제Ⅱ장 고급예제 모델링 1. 함수의 그래프를 ?축 둘레로 회전시킨 회전체 ·········································13 2. 스프레드시트를 이용하여 정다면체 변형하기 ···········································16 3. 색칠하기 힘든 부분을 색칠하기································································21 4. 스프레드시트를 이용하여 다양한 색상을 설정하기··································24 5. 반원 위에 쌓은 반원이 만드는 입체 구현하기 ·········································27 6. 정다각형 굴리기·························································································30 7. 정다각형 바퀴가 굴러갈 수 있는 도로 만들기·········································33 8. 원을 부채꼴로 나누어 펼치기 ····································································37 9. 3D에서 나선형 계단 만들기······································································40 10. 비틀린 곡면으로 둘러싸인 입체 만들기··················································41 11. 함수의 일부를 주기함수화하고 푸리에급수로 전개································45 12. 구슬 떨어뜨리기 시뮬레이션···································································49 13. 대각선을 회전축으로 정육면체 회전시키기·············································55 14. 구면에서 평면으로 사영하기···································································60 15. 텍스트를 지정된 곡선 위로 움직이게 하기·············································62 16. 원주의 길이를 시각화하기·······································································66 17. 피타고라스 정리의 증명 시각화하기·······················································69 18. 곡면을 삼각형으로 분할하기···································································73 차례 - ⅳ - 5 19. 사다리꼴의 넓이 설명하기·······································································78 20. 격자 위에 원을 입체적으로 표현하기·····················································82 21. 공간 상에 연결된 세 개의 고리 만들기··················································84 22. 지오지브라를 이용하여 수능문제 풀기 ····················································86 23. 3D 꽃 피우기···························································································92 24. 3D 사과 만들기 ·······················································································96 25. 반전(Inversion)을 이용한 타원과 쌍곡선 작도····································100 26. 원뿔의 전개도 만들기············································································105 27. 원기둥의 전개도 만들기········································································110 28. 두 함수의 차를 한 변으로 하는 정사각형이 만드는 입체····················115 제Ⅲ장 부록 1. 지오지브라 연구소···················································································119 2. 지오지브라 도구·······················································································121 3. 지오지브라 단축키···················································································130 4. 찾아보기···································································································134
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