특수교육 수학교육론(개정 교육과정에 따른)(한국특수교육교과교육학회 교과교육론2)

최근에는 중등 특수교사 자격 취득을 위한 전공과목의 세부 이수기준이 변경되어 기존 표시과목 관련 교과목(총 38학점)에 특수교육교육과정(기본 교육과정 교과) 3과목 이상이 포함되도록 함으로써 초등특수교사뿐만 아니라 중등특수교사도 수학 교과를 이수할 수 있는 기회가 마련되었다. 이러한 변화에 따라 개정 교육과정의 내용을 반영하고, 더욱 확대된 독자들을 고려한 수학 교육 관련 전문 서적의 필요성에 공감하여, 새롭게 7명의 저자들이 힘을 모았다. 집필에 참여한 저자들은 모두 특수교육대상학생의 수학 교육에 관한 연구 경험을 가지고 있으며, 교사양성 대학이나 대학원 등에서 특수교육대상학생들의 수학 교육에 관한 강의를 수행해 왔다. 이러한 경험을 토대로 특수교육대상학생들에게 수학을 가르치는 데 도움이 되는 내용을 ‘개정 교육과정에 따른 특수교육 수학교육론’에 담아내기 위해 노력하였다.

머리말 __ 3 제1부 특수교육 수학 교육의 기초 제1장 수학과 수학 교육 (이필상) ··········································13 1. 수학의 개념 ························································14 2. 수학의 특성과 수학 교육의 성격 ····································17 3. 특수교육대상학생과 수학 교육 ······································26 제2장 수학 교육의 목표 (이성진) ··········································39 1. 수학 교육의 목적 ···················································40 2. 공통 교육과정의 수학 교육 목표 ····································44 3. 기본 교육과정의 수학 교육 목표 ····································49 제3장 수학 교육의 내용 (홍성두) ··········································65 1. 미국의 수학 교육 내용 ··············································66 2. 누리 교육과정의 수학 교육 내용 ····································73 3. 공통 교육과정의 수학 교육 내용 ····································75 4. 기본 교육과정의 수학 교육 내용 ····································82 제4장 수학 교수ㆍ학습 이론 (남윤석) ·····································91 1. Bruner의 EIS 이론 ················································92 2. Freudenthal의 수학화 교수ㆍ학습 ··································96 3. Dienes의 놀이를 통한 수학 학습 ··································100 4. Skemp의 수학적 이해 ············································105 5. Wertheimer의 생산적 사고와 통찰 ·······························109 6. Polya의 문제해결 교육론 ··········································117 7. Montague와 Bos의 인지ㆍ초인지 전략 ···························120 제5장 수학 수업모형 (이대식) ·············································129 1. 수업모형의 기초 ···················································130 2. 직접교수법 수업모형 ···············································130 3. 개념학습 수업모형 ·················································143 4. 원리탐구 수업모형 ·················································146 5. 문제해결 수업모형 ·················································148 제6장 수학 교수ㆍ학습 자료 (고혜정) ····································155 1. 구체성과 추상성 ···················································156 2. 장애유형별 수학 교수ㆍ학습 자료 ··································176 제7장 수학 교육의 평가 (유장순) ·········································187 1. 수학 평가의 목적과 방향 ··········································188 2. 수학 평가의 규준과 내용 ··········································191 3. 수학 평가의 유형과 방법 ··········································197 4. 특수교육대상학생을 위한 평가 수정 ································209 5. 수학 교육과정의 평가 ··············································215 제2부 특수교육 수학 교육의 실제 제8장 수 이전 영역의 교수ㆍ학습 방법 (고혜정) ·······················225 1. 수 이전 영역의 교수ㆍ학습 내용 ···································226 2. 대상영속성 이해하기 ···············································229 3. 변별하기 ··························································230 4. 일대일 대응하기 ···················································234 5. 비교하기 ··························································240 6. 순서 짓기 ·························································242 7. 분류하기 ··························································246 8. 패턴 형성하기 ·····················································247 제9장 수 영역의 교수ㆍ학습 방법 (이필상) ·····························253 1. 수 영역의 교수ㆍ학습 내용 ········································254 2. 개수 세기와 수 세기 ··············································255 3. 기수와 서수 ·······················································260 4. 자릿값과 큰 수 ····················································261 5. 화폐 ·······························································264 6. 분수와 소수 ·······················································267 제10장 연산 영역의 교수ㆍ학습 방법 (홍성두) ··························275 1. 연산 영역의 교수ㆍ학습 내용 ······································276 2. 지산법 ····························································280 3. 연산 학습전략 ·····················································284 4. 연산 오류 분석 ····················································294 5. 어림 측정 전략 ····················································298 6. 공학 활용 ·························································300 7. 문제해결 전략 ·····················································303 8. 곱셈구구 전략 ·····················································317 제11장 도형 영역의 교수ㆍ학습 방법 (남윤석) ··························331 1. 도형 영역의 교수ㆍ학습 내용 ······································332 2. van Hieles의 기하 학습 수준 ·····································335 3. 놀이를 통한 도형 학습 ············································339 4. 조작 활동을 통한 도형 학습 ·······································342 5. 쌓기나무를 활용한 공간 감각 학습 ·································346 6. 컴퓨터를 활용한 도형 학습 ········································349 7. 역동적 평가를 통한 도형 학습 ·····································353 제12장 측정 영역의 교수ㆍ학습 방법 (이대식) ··························359 1. 측정 영역의 교수ㆍ학습 내용 ······································360 2. 측정 영역의 지도 원리 ············································363 3. 길이 ·······························································365 4. 들이 ·······························································371 5. 무게 ·······························································371 6. 넓이 ·······························································372 7. 부피 ·······························································373 8. 시간 ·······························································373 제13장 규칙성 영역의 교수ㆍ학습 방법 (이성진) ·······················377 1. 규칙성 영역의 교수ㆍ학습 내용 ····································378 2. 규칙성 영역의 교수ㆍ학습 방법 ····································385 제14장 자료와 가능성 영역의 교수ㆍ학습 방법 (유장순) ··············393 1. 자료와 가능성 영역의 교수ㆍ학습 내용 ····························394 2. 자료 분류하기 ·····················································396 3. 표로 나타내기 ·····················································400 4. 그래프로 나타내기 ·················································403 5. 대푯값과 평균 ·····················································411 6. 퍼센트와 비율 그래프 ··············································412 7. 가능성과 확률 ·····················································415 부 록 ·······································································419 1. 2015 개정 공통 교육과정 수학과 교육과정 ························421 2. 2015 개정 기본 교육과정 수학과 교육과정 ························463 찾아보기 ······························································502