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학생들이 즐거운 수학교실 : 3학년 1학기 나눗셈
김진호
교육과학사 2021.01.15.
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추천사1 / iii
추천사2 / vi
서문 / x

Chapter 1. 12개 똑같이 나누기 1
·교수·학습활동안 ·································································· 2
수업의 실제:1차시 ····································································· 6
〈과제의 도입〉 ······················································································· 6
수업의 실제:2차시 ·································································· 23
〈과제 소개〉 ························································································ 23
〈개인 과제 설명하기〉 ········································································· 33
〈개인 활동〉 ························································································ 35
〈개인 활동 2 : 심화 과제 소개〉 ·························································· 35
수업의 실제:3차시 ·································································· 37
〈전체 학급 토론〉 ················································································ 37
참고문헌 / 58

Chapter 2. 초인종이 울렸어 59
·교수·학습활동안 ································································ 60
수업의 실제:1차시 ·································································· 64
〈과제 소개〉 ························································································ 64
〈개인 활동〉 ······················································································· 70
수업의 실제:2차시 ·································································· 71
〈전체 학급 토론〉 ················································································ 71
수업의 실제:3차시 ·································································· 86
〈심화 과제 도전하기〉 ········································································· 86
수업의 실제:4차시 ·································································· 98
〈전체 학급 토론〉 ················································································ 98
수업의 실제:5차시 ································································ 112
〈전체 학급 토론〉 ·············································································· 112
참고문헌 / 116

Chapter 3. 과자 나누기 119
·교수·학습활동안 ······························································ 120
수업의 실제:1차시 ································································ 125
〈과제 소개 1 : 과제와 관련된 수학적 개념 소개〉 ····························· 125
〈과제 소개 2 : 활동 순서〉 ································································ 137
수업의 실제:2차시 ································································ 142
〈2인 1 모둠 활동〉 ············································································ 142
〈전체 학급 토론〉 ·············································································· 143
수업의 실제:3차시 ································································ 151
〈전체 학급 토론〉 ·············································································· 151
수업의 실제:4차시 ································································ 169
〈전체 학급 토론〉 ·············································································· 169
수업의 실제:5차시 ································································ 182
〈전차시 수업 내용 상기하기〉 ··························································· 182
〈전체 학급 토론〉 ·············································································· 183
수업의 실제:6차시 ································································ 198
〈전체 학급 토론〉 ·············································································· 198
부록 1 ····················································································· 203
〈과자 나누기 활동지 1〉 ·································································· 203
〈과자 나누기 활동지 2〉 ··································································· 204
참고문헌 / 205

Chapter 4. 학급 모둠의 수 207
·교수·학습활동안 ······························································ 208
수업의 실제:1차시 ································································ 212
〈과제 소개〉 ······················································································ 213
〈개인 활동〉 ······················································································ 224
수업의 실제:2차시 ································································ 225
〈전시 학습 상기 및 전체 학급 토론〉 ················································· 225
〈전체 학급 토론〉 ·············································································· 232
수업의 실제:3차시 ································································ 239
〈전체 학급 토론〉 ·············································································· 239
수업의 실제:4차시 ································································ 255
〈전차시 수업 중 발생한 아이디어들 정리〉 ······································· 255
〈전체 학급 토론〉 ·············································································· 257
수업의 실제:5차시 ································································ 269
〈전차시 수업 상기〉 ·········································································· 269
부록 ························································································· 282
〈24명으로 모둠 만들기〉 ·································································· 282
참고문헌 / 283

· 찾아보기 ····················································································· 284

저자 소개 1

서울교육대학교, 한국교원대학교, 미국 Columbia University에서 수학교육학으로 각각 학사, 석사, 박사 학위를 취득하고 현재는 대구교육대학교 수학교육과에서 교수로 재직 중이다. 현재까지 약 100여 편의 논문(학술지 게재 및 발표대회 발표)을 발표하였다. 또한, 약 100여 권의 책을 집필 또는 번역하였다. 이들 연구 활동의 중심 주제는 “학습자 중심 수학 수업”이었다. 전 세계적으로 수학교육자들이 현재 가장 실천에 옮기고 싶은 수학 수업이 학습자 중심 수업이다. 수학교육자마다 조금씩 다른 학습자 중심 수업을 주장한다. 나 또한 그들 중 한 연구자로 내 방식대로의 학
서울교육대학교, 한국교원대학교, 미국 Columbia University에서 수학교육학으로 각각 학사, 석사, 박사 학위를 취득하고 현재는 대구교육대학교 수학교육과에서 교수로 재직 중이다. 현재까지 약 100여 편의 논문(학술지 게재 및 발표대회 발표)을 발표하였다. 또한, 약 100여 권의 책을 집필 또는 번역하였다. 이들 연구 활동의 중심 주제는 “학습자 중심 수학 수업”이었다. 전 세계적으로 수학교육자들이 현재 가장 실천에 옮기고 싶은 수학 수업이 학습자 중심 수업이다. 수학교육자마다 조금씩 다른 학습자 중심 수업을 주장한다. 나 또한 그들 중 한 연구자로 내 방식대로의 학습자 중심 수업을 이론화시키고 구체화시키고 있다. 그런 연구 활동의 결과를 토대로, 현재는 2022 수학과 교육과정에 따른 국정 1-2학년군 수학교과용 도서 집필 책임자로 활동 중이다.

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발행일
2021년 01월 15일
쪽수, 무게, 크기
288쪽 | 188*257*20mm
ISBN13
9788925415352

출판사 리뷰

“어서 와! 나눗셈은 처음이지?”
3학년!! 마침내 수학교과서에 나눗셈이 등장한다. 3학년 학생들에게 나눗셈은 생소할 수 있지만, 나누는 상황은 어렸을 적부터 익숙했을 것이다. 친구들과 과자를 나누어 먹었던 경험이 나눗셈 식으로 표현되는 과정 속에서 학생들의 머릿속에는 어떤 생각이 떠오르고 있을까? 저자는 이 부분을 이렇게 설명하고 있다. ‘학생들은 배운 적이 없는 수학적 지식에 맞닥쳤을 때 자신들이 이미 알고 있는 지식들을 활용해서 이들 지식들을 자기 나름대로 이해한다.’ (책 9쪽)
그렇다. 이 책에서는 나눗셈을 처음 접하는 학생들의 사고과정의 모든 경우의 수를 엿볼 수 있다. 학생들의 사고과정이 곧 ‘학습 내용’이 되기 때문에, ‘학생들이 즐거운 수학교실’에서는 교사가 아닌 학생들이 이끌어가는 수업, 모든 학생들의 생각이 존중받는 수업이 진행된다. 아울러 수업을 통해 학생들이 각자의 다양한 방법으로 나눗셈을 구성해봄으로써 이를 자신의 것으로 만들어내는 과정을 확인할 수 있다.
‘학생들이 즐거운 수학교실’에서는 학생들 간의 열띤 토의와 토론이 반복되어 이루어진다. 초반에는 교사의 발문에 감탄하며 이 책을 읽었지만, 시간이 지날수록 학생들의 대답과 생각에 고개를 끄덕이며 빠져들게 되었다.

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