교육과정에 맞춘 수학놀이터 체험수학
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"수학은 어렵다"라는 말은 이제 옛날 이야기가 되었습니다. 여러분이 손에 들고 있는 이 책, ‘수학놀이터 체험수학’이 바로 그 증거입니다. 그동안 수학을 단순한 공식과 계산의 연속으로만 여겼다면, 이 책은 여러분에게 그리기, 만들기, 조작하기, 탐구하기와 같은 활동을 통해 수학을 전혀 다른 방식으로 경험하게 해줄 것입니다.
“들은 것은 잊어버리고, 본 것은 기억하고, 직접 해본 것은 이해한다.” 이 말은 체험수학의 중요성을 강조합니다. 초등수학 교육과정을 기반으로, 학생들이 수학을 더욱 쉽고 재미있게 이해할 수 있도록 46가지 흥미로운 체험수학 주제를 선별했습니다. 간혹 체험수학에서 즐겁게 만들고 놀이만 하다가 끝나는 경우가 종종 있습니다. 그 속에 담긴 수학적 개념이나 원리를 생각하지 않은 것이지요. 이 책에서는 체험 과정에서 자칫 놓칠 수 있는 수학적 지식을 쉽고 간단하게 소개하며 활동에 담았습니다. 여러분은 자연스럽게 수학적으로 생각하고, 놀면서 이해하고 터득하게 될 것입니다.
체험활동을 위한 도안과 재료가 부록으로 제공되어 있어, 교사와 학부모는 즉시 학생들과 함께 활동을 시작할 수 있습니다. 또한, 각 활동을 더 쉽게 이해하고 따라할 수 있도록 주제별로 체험 방법을 영상으로 담아 제공하고 있습니다.
이제, 수학의 즐거운 여행을 시작해 봅시다. 여러분이 이 책과 함께할 모든 순간이 즐겁고 유익한 학습의 경험이 되기를 바랍니다. 모험을 시작할 준비가 되셨나요? 그렇다면, 페이지를 넘기고 체험수학의 세계로 발걸음을 내딛으세요.
이 책은 호기심과 궁금증, 상상력을 불러일으키는 동시에, 즐겁게 체험하는 과정을 통해 성취감을 맛볼 수 있도록 구성되었습니다. 여러분의 수학 여정이 풍부하고 기억에 남는 경험이 되길 바랍니다. 새로운 발견과 즐거움이 가득한 '수학놀이터 체험수학'과 함께하세요
“들은 것은 잊어버리고, 본 것은 기억하고, 직접 해본 것은 이해한다.” 이 말은 체험수학의 중요성을 강조합니다. 초등수학 교육과정을 기반으로, 학생들이 수학을 더욱 쉽고 재미있게 이해할 수 있도록 46가지 흥미로운 체험수학 주제를 선별했습니다. 간혹 체험수학에서 즐겁게 만들고 놀이만 하다가 끝나는 경우가 종종 있습니다. 그 속에 담긴 수학적 개념이나 원리를 생각하지 않은 것이지요. 이 책에서는 체험 과정에서 자칫 놓칠 수 있는 수학적 지식을 쉽고 간단하게 소개하며 활동에 담았습니다. 여러분은 자연스럽게 수학적으로 생각하고, 놀면서 이해하고 터득하게 될 것입니다.
체험활동을 위한 도안과 재료가 부록으로 제공되어 있어, 교사와 학부모는 즉시 학생들과 함께 활동을 시작할 수 있습니다. 또한, 각 활동을 더 쉽게 이해하고 따라할 수 있도록 주제별로 체험 방법을 영상으로 담아 제공하고 있습니다.
이제, 수학의 즐거운 여행을 시작해 봅시다. 여러분이 이 책과 함께할 모든 순간이 즐겁고 유익한 학습의 경험이 되기를 바랍니다. 모험을 시작할 준비가 되셨나요? 그렇다면, 페이지를 넘기고 체험수학의 세계로 발걸음을 내딛으세요.
이 책은 호기심과 궁금증, 상상력을 불러일으키는 동시에, 즐겁게 체험하는 과정을 통해 성취감을 맛볼 수 있도록 구성되었습니다. 여러분의 수학 여정이 풍부하고 기억에 남는 경험이 되길 바랍니다. 새로운 발견과 즐거움이 가득한 '수학놀이터 체험수학'과 함께하세요
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# 수와 연산
01 생일을 맞히는 계산 마술 ··················································································3
02 신기한 카프리카 수와 연산 ···············································································7
03 '4' 네 개로 만드는 자연수 ············································································11
04 손가락 구구단 ································································································15
05 크로스 곱셈법 ································································································19
06 옛 사람들의 곱셈 ···························································································24
07 수학식으로 퍼즐 놀이를?! ··············································································30
08 덧셈만 알면 나는야 곱셈왕 ············································································37
09 예쁜 무늬에 숨겨진 비밀 ···············································································41
10 색으로 배우는 약수와 배수 ············································································46
11 분수 계산기?! ································································································52
# 도형과 측정
12 뫼비우스의 띠 자르기 ····················································································59
13 삼면접시 ·········································································································63
14 한 번만 잘라서 만든 정다각형 ·······································································67
15 하나의 전개도 두 개의 도형 ··········································································74
16 평면에서 입체로, 무브폼 ················································································80
17 원이 그리는 예술, 써클아트 ···········································································86
18 안과 밖이 바뀌는 큐브 ··················································································94
19 무한반복 피라미드 ··························································································98
20 빈틈없이 가득 채우는 재미 ·········································································102
21 두 개의 기둥을 품은 하나의 기둥 ·······························································106
22 새를 품은 에그 퍼즐 ···················································································112
23 일곱 개의 조각이 이루는 도형 ····································································118
24 색종이로 만드는 삼각자 ··············································································122
25 넓이가 늘어나는 마술퍼즐 ···········································································126
26 크기가 다른 두 물통 ···················································································130
27 각도기로 별 그리기 ·····················································································134
28 종이접기로 만드는 곡선 ··············································································140
29 퍼즐로 배우는 직사각형 넓이 ······································································147
30 벌들이 찾은 최적의 구조 ············································································152
31 DIY 경사계 ·································································································157
# 변화와 관계
32 베다 방진으로 만든 무늬 ············································································162
33 A시리즈 종이에 담긴 비밀 ··········································································168
34 바코드와 체크디지트 ····················································································172
35 규칙을 따라가면 예술이 되는 스트링아트 ····················································176
36 돌돌 감으면 풀리는 비밀 ············································································180
37 쉿! 우리만 아는 비밀이야 ···········································································184
38 파스칼 삼각형에 숨겨진 규칙 ······································································188
39 탑을 옮기면 세상이 끝난다! ········································································193
40 도형 속 수의 규칙 ······················································································198
41 끊임없이 되풀이 되는 구조 ·········································································205
42 몬드리안의 그림 속 수학 ············································································211
43 수학으로 배우는 음계 ··················································································217
44 규칙을 알면 항상 이기는 게임 ····································································223
45 식물도 수학을 한다고?! ··············································································229
46 종이를 접어 만드는 프랙탈 ·········································································235
01 생일을 맞히는 계산 마술 ··················································································3
02 신기한 카프리카 수와 연산 ···············································································7
03 '4' 네 개로 만드는 자연수 ············································································11
04 손가락 구구단 ································································································15
05 크로스 곱셈법 ································································································19
06 옛 사람들의 곱셈 ···························································································24
07 수학식으로 퍼즐 놀이를?! ··············································································30
08 덧셈만 알면 나는야 곱셈왕 ············································································37
09 예쁜 무늬에 숨겨진 비밀 ···············································································41
10 색으로 배우는 약수와 배수 ············································································46
11 분수 계산기?! ································································································52
# 도형과 측정
12 뫼비우스의 띠 자르기 ····················································································59
13 삼면접시 ·········································································································63
14 한 번만 잘라서 만든 정다각형 ·······································································67
15 하나의 전개도 두 개의 도형 ··········································································74
16 평면에서 입체로, 무브폼 ················································································80
17 원이 그리는 예술, 써클아트 ···········································································86
18 안과 밖이 바뀌는 큐브 ··················································································94
19 무한반복 피라미드 ··························································································98
20 빈틈없이 가득 채우는 재미 ·········································································102
21 두 개의 기둥을 품은 하나의 기둥 ·······························································106
22 새를 품은 에그 퍼즐 ···················································································112
23 일곱 개의 조각이 이루는 도형 ····································································118
24 색종이로 만드는 삼각자 ··············································································122
25 넓이가 늘어나는 마술퍼즐 ···········································································126
26 크기가 다른 두 물통 ···················································································130
27 각도기로 별 그리기 ·····················································································134
28 종이접기로 만드는 곡선 ··············································································140
29 퍼즐로 배우는 직사각형 넓이 ······································································147
30 벌들이 찾은 최적의 구조 ············································································152
31 DIY 경사계 ·································································································157
# 변화와 관계
32 베다 방진으로 만든 무늬 ············································································162
33 A시리즈 종이에 담긴 비밀 ··········································································168
34 바코드와 체크디지트 ····················································································172
35 규칙을 따라가면 예술이 되는 스트링아트 ····················································176
36 돌돌 감으면 풀리는 비밀 ············································································180
37 쉿! 우리만 아는 비밀이야 ···········································································184
38 파스칼 삼각형에 숨겨진 규칙 ······································································188
39 탑을 옮기면 세상이 끝난다! ········································································193
40 도형 속 수의 규칙 ······················································································198
41 끊임없이 되풀이 되는 구조 ·········································································205
42 몬드리안의 그림 속 수학 ············································································211
43 수학으로 배우는 음계 ··················································································217
44 규칙을 알면 항상 이기는 게임 ····································································223
45 식물도 수학을 한다고?! ··············································································229
46 종이를 접어 만드는 프랙탈 ·········································································235
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