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홍차넷
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티타임
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- 다양한 주제에 대해 자유롭게 글을 작성하는 게시판입니다.
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전체기타일상/생각꿀팁/강좌방송/연예도서/문학영화의료/건강문화/예술경제생활체육과학/기술철학/종교정치요리/음식역사여행육아/가정IT/컴퓨터음악창작게임스포츠사회오프모임
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| Date |
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| Name | 캡틴아메리카 |
| Subject | 음수X음수는 왜 양수인가요? |
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[음수X음수는 왜 양수인가요?] 아이들에 수학을 가르치다 보면 거의 100%의 아이들이 선생님께 꼭 물어보게 되는 질문이라고 합니다. 최근에 아이들에게 수학을 가르치는 선생님인 한 지인이 저에게 이런 질문을 자주 받는데 명쾌하게 설명하는 방법이 없냐고 그러더군요. [정의상 그렇게 정의하는 것이 수학에서 가장 자연스러운 정의이다.] 같은 답 말고 현실적으로 아이들을 쉽게 이해시킬만 한 답이 없냐고요. 저에게는 아주 짧고도 명쾌한 답이 있습니다. [빚이] [나갔으니까요.] 하지만, 이렇게 이야기를 해도 한 번에 이해가 되는 사람은 많이 없을 겁니다. 그런데 제 답변에서 특이한 걸 발견하지 않으셨나요? 왜 [빚이 나갔으니까요.]로 []를 1번만 쓰지 않고, [빚이] [나갔으니까요.]로 []를 2개로 분리해서 답을 했을까요? 이 답을 이해하려면 [두 가지]를 다시 한 번 명쾌하게 이해하셔야 합니다. 첫번째, [우선 곱셈이란 것이 무엇인지 제대로 이해해야 합니다.] (먼저 몇 년 전 옆동네를 뜨겁게 달궜던 다음 글을 참고해 보세요. http://pgr21.com/?b=10&n=176684 ) [2X3과 3X2는 둘 다 6이니까 같은 것이 아니냐]라고 생각하시는 분들이 많을 겁니다. 물론 예상하셨겠지만, 제 답은 [아니오]입니다. 2X3는 2가 3번 있는 것이고, 3X2는 3이 2번 있는 것이죠. 수학은 결과 뿐만 아니라, [과정이 매우 중요한 학문]이라는 것은 누구나 아실 겁니다. 2가 3번 있는 것과 3이 2번 있는 것은 [그 과정이 매우 다른 것이죠.] 한국 사람들은 돈 문제를 가지고 다루면 더 명확하게 이해한다고 하니 돈으로 설명 해보겠습니다. 아이가 부모님께 한 달 용돈을 2만원을 받는다고 합시다. 아이가 용돈을 3달 동안 받았습니다. 그러면 아이가 3달 동안 받은 총 용돈은 2X3=6만원이죠. 하지만, 3X2는 그 내용이 달라요. 이것은 한 달 용돈이 3만원이고, 그런 용돈을 2달간 받은 것입니다. 2X3과 3X2의 결과는 모두 6이지만, 그 과정은 명백히 다른 것이에요. 두번째, [음수가 무엇인지 이해하셔야 합니다.] 역시나 돈 문제를 가지고 설명해보죠. 흔히들 돈을 가지고 있는 것을 양수라고 한다면, [빚을 가지고 있는 것을 음수라고 한다]고 생각하실 겁니다. [땡! 틀렸습니다.] 사실 좀 더 정확하게 말하면, [반은 맞고 반은 틀렸습니다.] 음수는 [빚]만 음수인게 아닙니다. 돈이 [나간 것]도 음수입니다. 곱셈으로 설명해보겠습니다. (-2)X3은 아이가 한 달 용돈을 받지 못 해 친구한테 빌려서 [빚이 2만원]인데, 그러한 빚이 [3달 동안 생긴 것이죠.] 2X(-3)은 아이가 한 달 동안 [용돈 2만원]을 받는데, [3달 동안 써버린 것입니다.] 즉, 하나는 [6만원의 빚]이 생긴 것, 다른 하나는 수중에서 [6만원이 나간 것]이에요. 그렇다면 음수X음수는 왜 양수? 위에서 배운 것을 종합해보면 답을 금방 알 수 있습니다. 2X3 = 6 <- 2만원의 [돈이] 3번 [들어온 것], 그래서 6만원의 [돈이] [들어온 것] 3X2 = 6 <- 3만원의 [돈이] 2번 [들어온 것], 그래서 6만원의 [돈이] [들어온 것] (-2)X3 = -6 <- 2만원의 [빚이] 3번 [들어온 것], 그래서 6만원의 [빚이] [들어온 것] 2X(-3) = -6 <- 2만원의 [돈이] 3번 [나간 것], 그래서 6만원의 [돈이] [나간 것] 그렇다면 자연스럽게 다음 답이 나오실 겁니다. (-2)X(-3) = 6 <- 2만원의 [빚이] 3번 [나간 것], 그래서 6만원의 [빚이] [나간 것] = 따라서 결과적으로 6만원의 [돈이] [들어온 것] 이제 여러분들도 아이들이 음수X음수는 왜 양수냐고 질문이 오면 자신있게 [빚이] [나갔으니까]라고 답해주시면 됩니다. :) p.s. 수학도 과학이니 과학 카테고리가 맞겠죠? ㅋㅋ Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view.php on line 133 Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view.php on line 146 Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view.php on line 161 13
이 게시판에 등록된 캡틴아메리카님의 최근 게시물
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Warning: Use of undefined constant HTTP_HOST - assumed 'HTTP_HOST' (this will throw an Error in a future version of PHP) in /home/redtea/html/pb/view.php on line 640
Warning: Use of undefined constant name - assumed 'name' (this will throw an Error in a future version of PHP) in /home/redtea/html/pb/view.php on line 644
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/pb/view.php on line 646
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/pb/view.php on line 646
Warning: Use of undefined constant HTTP_HOST - assumed 'HTTP_HOST' (this will throw an Error in a future version of PHP) in /home/redtea/html/pb/cmt_replace.php on line 3
Warning: Use of undefined constant ismember - assumed 'ismember' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 6
Warning: Use of undefined constant file_name - assumed 'file_name' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 28
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 65
78748 class="iamcmt" style="display:none;"> Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 66
78748 class='vcm '>
Warning: Use of undefined constant x - assumed 'x' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 70
Warning: Use of undefined constant x - assumed 'x' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 71
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 76
Warning: Use of undefined constant ismember - assumed 'ismember' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 117
Warning: Use of undefined constant ismember - assumed 'ismember' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 118
Warning: Use of undefined constant ismember - assumed 'ismember' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 119
Warning: Use of undefined constant ismember - assumed 'ismember' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 120
Warning: Use of undefined constant ismember - assumed 'ismember' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 121
78748'> 에밀
Warning: Use of undefined constant mod_date - assumed 'mod_date' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 133
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 140
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 140
Warning: Use of undefined constant reg_date - assumed 'reg_date' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 142
17/04/15 01:05
78748>삭제 주소복사
Warning: Use of undefined constant level - assumed 'level' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 150
중학생 때 잠깐 다녔던 학원에서 울었던 적이 있어요. 수학 시간이었는데요, 음수를 배웠는데요. 다른 애들은 다 이해를 하는데, 저만 못하는 것 같더라고요. '0보다 작은데 어떻게 더하고 뺀다는 거야? 1개도 없는 건데??' 그게 너무 분해서 -.-... 막 혼자 눈물 흘리고 있으니까 다른 이들은 이해를 못해서 왜 우냐고, 좀 심하게 말하는 이는 관심 받으려 그러냐고. 물론 지금은 좀 커서 남 앞에서 울지는 않고, 또 제 이해의 한계가 어디인지도 어렴풋이 감이 오니 대학 시절 수업을 들으며 공미방 이해를 못하는 게 심히 분하진 않았지만 그때는 그랬어요. 지금 생각해 보면 그때 다른 친구들도 이렇게 이해를 했다기보다는 그냥 넘어간 아이들이 다수일 것 같아요. 수학도 제가 이해하는 영역까지는 재미있습니다. 이 글처럼요. 냠냠...
Warning: Use of undefined constant level - assumed 'level' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 158
Warning: Use of undefined constant password - assumed 'password' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 166
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 171
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 172
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 172
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 173
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 173
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 173
Warning: Use of undefined constant level - assumed 'level' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 158
Warning: Use of undefined constant password - assumed 'password' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 166
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 171
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 172
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 172
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 173
Warning: Use of undefined constant no - assumed 'no' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 173
Warning: Use of undefined constant vote - assumed 'vote' (this will throw an Error in a future version of PHP) in /home/redtea/html/a_skin/bbsd/view_comment.php on line 173
78748>
78748>
