수리 논.구술의 원리와 문제 해결 전략

I 수리 논·구술의 원리

I-1. 수리 논·구술의 원리와 평가 요소 ········· 14

I-2. 수리 논·구술 문제의 해결 과정 ············ 16
연습문제 I ·································· 20

II 수리 논·구술의 문제 해결 전략

II-1. 제시문의 분석 ····························· 22
1 단일교과형 수리논술 ····················· 23
(1) 제시문이 교과 내용으로 정리되어 제공되는 유형
(2) 제시문이 문제 상황 설정을 위한 자료로서 제공되는 유형
(3) 문항별 제시문이 주어지거나, 제시문이 없는 유형
2 통합교과형 수리논술 ····················· 31
(1) 혼합형(수학외적) 수리논술
(2) 통합교과형 수리논술
3 구술형 심층면접 ·························· 38
■ 연습문제 II-1 ···························· 41

II-2. 논제의 분석과 문제 해결 전략 수립· ······· 44
■ 논제의 구조적 분석 전략
■ 논제의 요구사항에 따른 분석 전략
1 직관과 창의적 사고 유형의 논제 분석과 답안··············································· 47
■ 연습문제 II-2-1 ·························· 60
2 전진적 추론 유형의 논제 분석 ··········· 63
(1) 유추에 의한 추론
(2) 귀납적 추론
(3) 분해와 재결합에 의한 추론
(4) 정의로 되돌아가기
연습문제 II-2-2 ····························· 116
3 역 추론 유형의 논제 분석 ················· 123
(1) 역 추론하기
(2) 직접 증명법
(3) 간접 증명법
(4) 수학적 귀납법
■ 연습문제 II-2-3 ························ 198

III 수리논술 쓰기와 평가

III-1. 논술문 쓰기 및 검토 ······················ 206
1 답안의 개요 잡기 ·························· 206
2 답안 쓰기 ·································· 207
3 답안 검토와 수정 ·························· 208
■ 연습문제 III-1 · ·························· 247

III-2. 수리논술의 평가와 지도 ·················· 255
1 수리논술의 평가 기준 · ···················· 255
2 수리논술의 지도 방안 · ···················· 265
3 필수 배경지식과 문제 해결 전략 · ········· 266
■ 연습문제 III-2 ··························· 267

IV 연습문제 풀이

■ 연습문제 I, II-1 ·························· 270
■ 연습문제 II-2-1 ························· 271
■ 연습문제 II-2-2 ························· 278
■ 연습문제 II-2-3 ························ 301
■ 연습문제 III-1 · ·························· 321
■ 연습문제 III-2 ··························· 332