{"id":11718,"date":"2016-12-06T20:05:50","date_gmt":"2016-12-06T12:05:50","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=11718"},"modified":"2016-12-06T20:05:50","modified_gmt":"2016-12-06T12:05:50","slug":"%e7%ae%80%e8%ae%b0%e6%88%91%e5%9c%a8%e4%b8%9c%e5%8c%97%e8%82%b2%e6%89%8d%e7%9a%84%e4%ba%8c%e5%8d%81%e5%b9%b4","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=11718","title":{"rendered":"\u7b80\u8bb0\u6211\u5728\u4e1c\u5317\u80b2\u624d\u7684\u4e8c\u5341\u5e74"},"content":{"rendered":"

ngg_shortcode_0_placeholder
\n\u4e3a\u672a\u77e5\u6559\u4e3a\u672a\u6765\u5b66<\/strong>
\n\u7b80\u8bb0\u6211\u5728\u4e1c\u5317\u80b2\u624d\u7684\u4e8c\u5341\u5e74
\n\u90b1\u53d1\u6587\uff08\u4e1c\u5317\u80b2\u624d\u5b66\u6821\u9996\u5e2d\u6559\u5e08\u3001\u6c88\u9633\u5e02\u540d\u5e08\u3001\u6c88\u9633\u5e02\u9996\u5c4a\u5341\u4f73\u578b\u6559\u5e08\uff09
\n\u501f\u300a\u4e1c\u5317\u80b2\u624d\u62a5\u300b\u7b2c100\u671f\u201c\u6211\u7684\u80b2\u624d\u4e4b\u8def\u201d\u7ea6\u7a3f\uff0c\u987a\u4fbf\u68b3\u7406\u4e86\u4e00\u4e0b\u81ea\u5df1\u5728\u4e1c\u5317\u80b2\u624d\u5b66\u682120\u5e74\uff081996-2016\uff09\u7684\u5de5\u4f5c\u548c\u5fc3\u5f97\u3002\u4e1c\u5317\u80b2\u624d\u5b66\u6821\u4e0e\u6211\u7684\u9a84\u50b2\u5e76\u4e0d\u4ec5\u4ec5\u662f\u56e0\u4e3a\u5979\u662f\u5168\u56fd\u77e5\u540d\u7684\u91cd\u70b9\u4e2d\u5b66……<\/em>
\nngg_shortcode_1_placeholder
\n1996\u5e74\u5317\u4eac\u5e08\u8303\u5927\u5b66\u7269\u7406\u7cfb\u6bd5\u4e1a\u81f3\u4eca\uff0c\u5728\u4e1c\u5317\u80b2\u624d\u5b66\u6821\u5de5\u4f5c\u5df220\u6574\u5e74\u3002\u5c31\u5982\u751f\u6d3b\u4e4f\u5473\u65f6\u5076\u5c14\u4f1a\u6709\u201c\u4e3a\u4ec0\u4e48\u800c\u6d3b\u201d\u7684\u56f0\u60d1\u4e00\u6837\uff0c\u505a\u6559\u5e08\u4e45\u4e86\uff0c\u8111\u6d77\u91cc\u96be\u514d\u4f1a\u95ea\u8fc7\u201c\u4e3a\u4ec0\u4e48\u800c\u6559\u201d\u7684\u7591\u95ee\uff0c\u60f3\u5fc5\u5b66\u751f\u4e5f\u4f1a\u6709\u201c\u4e3a\u4ec0\u4e48\u800c\u5b66\u201d\u7684\u5f77\u5fa8\u5427\u3002<\/p>\n

\u5c0f\u65f6\u5019\u7684\u68a6\u60f3\u65e0\u975e\u662f\u201c\u51fa\u4eba\u5934\u5730\u201d\uff0c\u53ef\u4e00\u8003\u8651\u5230\u5b66\u8d39\u8fd8\u662f\u8865\u62a5\u4e86\u5e08\u8303\uff0c\u5f88\u60ed\u6127\uff0c\u6211\u4ece\u6559\u7684\u521d\u8877\u53ea\u662f\u4e3a\u4e86\u7701\u94b1\u3002\u5728\u201c\u4e3a\u751f\u6d3b\u800c\u6559\u201d\u7684\u57fa\u7840\u4e0a\uff0c\u4e5f\u6162\u6162\u6709\u4e86\u201c\u4e3a\u5174\u8da3\u800c\u6559\u201d\u7684\u4e50\u8da3\uff0c\u5f53\u7136\u4e5f\u5c11\u4e0d\u4e86\u201c\u4e3a\u5206\u6570\u800c\u6559\u201d\u7684\u65e0\u5948\u3002\u4e0d\u8fc7\u5f88\u5e86\u5e78\uff0c\u5728\u4e1c\u5317\u80b2\u624d\u8fd9\u5757\u6559\u80b2\u7684\u6c83\u571f\u4e0a\uff0c\u4ed8\u51fa\u201c\u6559\u201d\u7684\u52aa\u529b\u4e5f\u4f1a\u201c\u5b66\u201d\u5230\u5f88\u591a\uff0c\u548c\u5b66\u751f\u63a2\u6c42\u672a\u77e5\u7684\u8fc7\u7a0b\u4e2d\u4e5f\u53d1\u73b0\u4e86\u672a\u77e5\u7684\u81ea\u5df1\u3002<\/p>\n

\u5b66\u751f\u65f6\u53ea\u662f\u9075\u4ece\u5e08\u957f\u52aa\u529b\u505a\u4e00\u540d\u597d\u5b66\u751f\uff0c\u521d\u4e3a\u4eba\u5e08\u624d\u6709\u81ea\u6211\u610f\u8bc6\u7684\u89c9\u9192\uff0c\u5de5\u4f5c\u4e2d\u4e5f\u5c31\u66f4\u6ce8\u91cd\u5bf9\u5b66\u751f\u4e3b\u4f53\u610f\u8bc6\u7684\u5524\u9192\u3002\u4f5c\u4e3a\u7269\u7406\u6559\u5e08\u5148\u540e\u4efb\u6559\u8d85\u5e38\u73ed\u3001\u7279\u957f\u73ed\u548c\u521b\u65b0\u73ed\u7b49\uff0c\u4e5f\u6559\u8fc7\u516d\u5e74\u5236\u548c\u5e38\u6001\u73ed\uff0c\u6559\u5b66\u6210\u6548\u663e\u8457\u4e5f\u6df1\u5f97\u5b66\u751f\u4fe1\u4efb\u3002\u4fe1\u5949\u6559\u80b2\u7684\u529b\u91cf\u6765\u81ea\u5f7c\u6b64\u7684\u771f\u5b9e\uff0c\u4e5f\u5c31\u6ce8\u91cd\u5f00\u653e\u3001\u63a2\u7a76\u7684\u8bfe\u5802\u6c1b\u56f4\u7684\u8425\u9020\u3002\u63d0\u51fa\u201c\u4e94\u7269\u6559\u5b66\u6cd5\u201d\uff0c\u5f15\u5bfc\u5b66\u751f\u628a\u9519\u8bef\u770b\u6210\u662f\u6b63\u786e\u8ba4\u77e5\u7684\u4e00\u6b21\u673a\u4f1a\uff08A Question A Chance!\uff09\u3002\u201c\u4ee5\u5b66\u6559\u5b66\u201d\u548c\u201c\u8868\u626c\u4e3a\u5e08\u201d\u540c\u6837\u662f\u6211\u7684\u6559\u5b66\u7b56\u7565\uff0c\u6bd4\u5982\u6700\u8fd1\u793a\u8303\u8bfe\u8bb2\u5f39\u6027\u78b0\u649e\u7528\u5230\u201c\u738b\u806a\uff08\u540c\u5b66\uff09\u65b9\u6cd5\u201d\uff0c\u4e0d\u4ec5\u662f\u539f\u578b\u542f\u53d1\uff0c\u66f4\u662f\u5bf9\u5b66\u751f\u81ea\u6211\u4ef7\u503c\u7684\u8ba4\u540c\u548c\u5f15\u5bfc\u3002\u300a\u97e9\u975e\u5b50\u300b\u91cc\u201c\u4e0b\u541b\u5c3d\u5df1\u4e4b\u80fd\uff0c\u4e2d\u541b\u5c3d\u4eba\u4e4b\u529b\uff0c\u4e0a\u541b\u5c3d\u4eba\u4e4b\u667a\u201d\uff0c\u6216\u8bb8\u53ef\u4ee5\u7406\u89e3\u6210\u4e00\u540d\u4f18\u79c0\u7684\u6559\u5e08\u5584\u4e8e\u53d1\u6398\u548c\u53d1\u626c\u5b66\u751f\u7684\u624d\u667a\u3002<\/p>\n

\u6559\u5e08\u5b66\u4e60\u65b9\u5f0f\u7684\u8f6c\u53d8\u624d\u6709\u6559\u5e08\u6559\u5b66\u65b9\u5f0f\u7684\u6539\u53d8\uff0c\u5f00\u653e\u3001\u521b\u65b0\u548c\u524d\u6cbf\u7684\u4e1c\u5317\u80b2\u624d\u5b66\u6821\u4e3a\u8001\u5e08\u63d0\u4f9b\u4e86\u5f88\u591a\u5b66\u4e60\u548c\u5c55\u793a\u7684\u673a\u4f1a\u3002\u8bb0\u5f97\u5165\u804c\u4e0d\u4e45\u5c31\u5f97\u5230\u6851\u65b0\u6c11\u6559\u6388\u63a8\u8350\uff0c\u6709\u673a\u4f1a\u7ed9\u5317\u5e08\u5927\u7814\u4fee\u73ed\u91cc\u7684\u6559\u5e08\u5c55\u793a\uff0c\u4e5f\u6b63\u662f\u8fd9\u6b21\u521d\u7ea7\u6559\u5e08\u7ed9\u9ad8\u7ea7\u6559\u5e08\u57f9\u8bad\u7684\u7ecf\u5386\u5f00\u59cb\u8ba9\u6211\u6df1\u5207\u4f53\u4f1a\u5230\u6559\u662f\u5f88\u597d\u7684\u5b66\uff08To teach is to learn twice. Joseph Joubert\uff09\uff0c\u201c\u5df1\u7acb\u7acb\u4eba\uff0c\u5df1\u8fbe\u8fbe\u4eba\u201d\uff0c\u4ee5\u540e\u201c\u6559\u4e14\u5b66\u201d\u7684\u6211\u4e5f\u5c3d\u91cf\u8ba9\u5b66\u751f\u201c\u5b66\u4e14\u6559\u201d\u3002\u201c\u4eba\u53ea\u6709\u4e00\u6b21\u673a\u4f1a\u201d\uff0c\u6211\u7684\u5f88\u591a\u5de5\u4f5c\u7531\u6b64\u5c55\u5f00\u3002<\/p>\n

1997\u5e74\u7387\u5148\u5728\u6570\u5b66\u7279\u957f\u73ed\u5f00\u8bbe\u201c\u52a8\u6001\u6570\u7406\u201d\u9009\u4fee\u8bfe\uff0c\u5e26\u9886\u51af\u4f1f\u7b49\u540c\u5b66\u5bf9\u8774\u8776\u5b9a\u7406\u7684\u7cfb\u5217\u63a8\u5e7f\u5728\u56fd\u5185\u5916\u4ea7\u751f\u5f88\u5927\u53cd\u54cd\uff08cut-the-knot.org\uff09\uff0c\u4e5f\u6784\u9020\u4e86\u4e0d\u5c11PWW\uff08Proof Without Words\uff09\u8303\u4f8b\uff0c\u6fc0\u53d1\u5b66\u751f\u5bf9\u77e5\u8bc6\u201c\u518d\u521b\u9020\u201d\u3002GSP\uff08The Geometer\u2019s Sketchpad\uff09\u8bbe\u8ba1\u8005\u5c3c\u514b\uff08Nick Jackiw\uff09\u975e\u5e38\u559c\u6b22\u6211\u5bf9\u51e0\u4f55\u753b\u677f\u201c\u70b9\u77f3\u6210\u91d1\u7684\u91d1\u624b\u6307\u201d\u7684\u8bc4\u4ef7\uff0c\u8fd8\u548c\u7f8e\u56fd\u540c\u884c\u4ecb\u7ecd\u4e86\u6211\u7684\u5de5\u4f5c\uff0c\u56fd\u5185\u4e00\u65f6\u4e5f\u6709\u201c\u5357\u9676\u5317\u90b1\u201d\u4e4b\u8bf4\u3002\u4ee5\u540e\u6211\u6574\u5408\u4e86\u6885\u91cc\u5c14\uff08M. David Merrill\uff09\u7684\u9996\u8981\u6559\u5b66\u539f\u7406\uff0c\u628a\u201c\u6e29\u6545\u521b\u65b0\u3001\u539f\u578b\u542f\u53d1\u3001\u4eb2\u5386\u63a2\u7a76\u548c\u6982\u62ec\u8fc1\u79fb\u201d\u7684\u9009\u4fee\u8bfe\u6a21\u5f0f\u8fc1\u79fb\u5230\u5e38\u89c4\u6559\u5b66\u3002<\/p>\n

\u201c\u521d\u4ee5\u4e3a\u6c42\u5b66\u4e43\u6c42\u5e08\uff0c\u540e\u4ee5\u4e3a\u6c42\u5b66\u4e43\u6c42\u77e5\uff0c\u73b0\u4ee5\u4e3a\u6c42\u5b66\u4e43\u6c42\u5df1\uff0c\u800c\u6240\u8c13\u77e5\u8bc6\u8005\uff0c\u65e0\u975e\u662f\u77e5\u5df1\u8bc6\u5df1\u800c\u5df2\u3002\u201d\u4e0a\u8ff0\u89c9\u609f\u57fa\u4e8e\u4eba\u672c\u4e3b\u4e49\u7684\u89c9\u9192\u548c\u6559\u5b66\u4e00\u4f53\u7684\u8df5\u884c\uff0c\u6216\u5982\u514b\u91cc\u5e0c\u90a3\u7a46\u63d0\u201c\u771f\u7406\u5c5e\u4e8e\u4e2a\u4eba\u7684\u4e86\u609f\u201d\u3001\u738b\u9633\u660e\u201c\u884c\u77e5\u5e76\u8fdb\u81ea\u6c42\u81ea\u5f97\u201d\u3002\u800c\u539f\u672c\u201c\u6c42\u5e08\u5fc5\u5f97\u201d\u7684\u201c\u6c42\u5e08\u5f97\u201d\u4e5f\u5c31\u6709\u4e86\u201c\u4ee5\u5df1\u4e3a\u5e08\u81ea\u6c42\u81ea\u5f97\u201d\u7684\u5347\u534e\u3002<\/p>\n

2000\u5e74\u521b\u5efa\u6c42\u5e08\u5f97\u6559\u80b2\u5b9e\u9a8c\u5ba4\uff08qsir.org\uff09\uff0c \u5176\u4e2d\u201c\u52a8\u6001\u4e0e\u521b\u9020\u793e\u533a\u201d\u7684\u201c\u753b\u677f\u8054\u76df\u201d\u4e00\u5ea6\u6210\u4e3a\u4e24\u5cb8\u4e09\u5730\u6700\u5177\u5f71\u54cd\u529b\u7684\u753b\u677f\u8ba8\u8bba\u533a\uff0c\u751a\u81f3\u8fd8\u53c2\u4e0e\u5230\u5f20\u666f\u4e2d\u9662\u58eb\u201c\u8d85\u7ea7\u753b\u677f\u201d\uff08Z+Z\uff09\u7684\u63a8\u5e7f\uff0c\u5916\u5730\u51fa\u5dee\u5076\u6709\u9047\u5230\u81f4\u8c22\u7684\u677f\u53cb\u3002\u524d\u4e0d\u4e45\uff082016.4\uff09\u5f20\u9662\u58eb\u6168\u5141\u4f5c\u6c42\u5e08\u5f97\u6559\u80b2\u5b9e\u9a8c\u5ba4\u7684\u540d\u8a89\u987e\u95ee\uff0c\u8fd8\u5148\u540e\u4e09\u6b21\u4e3a\u6211\u4eec\u9898\u5b57\u3001\u9898\u8bcd\u3002<\/p>\n

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2014\u5e74\u548c\u9ad8\u4e2d\u90e8\u674e\u6d77\u59b9\u7b49\u8001\u5e08\u5f00\u59cb\u5229\u7528\u5047\u671f\u5f00\u5c55\u6570\u4f4d\u5b66\u4e60\u6d3b\u52a8\uff0c\u5728\u5168\u56fd\u4e2d\u5b66\u7387\u5148\u6709\u7ec4\u7ec7\u7684\u8fdb\u884cMOOC\u5b66\u4e60\u3002\u8001\u5e08\u548c\u5b66\u751f\u4e00\u8d77\u5b66\u3001\u5b66\u751f\u548c\u8001\u5e08\u4e00\u8d77\u6559\uff08WE to ME and ME to WE\uff09\uff0c\u201c\u6c42\u5e08\u5f97\u6570\u4f4d\u5b66\u4e60\uff08qiutopia\uff09\u201d\u8de8\u8d8a\u4e86\u7406\u5ff5\u548c\u5b9e\u8df5\u7684\u9e3f\u6c9f\uff0c\u5b9e\u73b0\u4e86\u4e13\u4e1a\u7684\u5b66\u79d1\u6559\u5b66\u77e5\u8bc6\u4e0e\u9c9c\u660e\u7684\u6559\u80b2\u4e2a\u6027\u7684\u73b0\u5b9e\u6574\u5408\uff0c\u4eca\u5e74\u8fd8\u548c\u6c88\u9633\u5e02\u6559\u80b2\u5c40\u3001\u6559\u80b2\u7814\u7a76\u9662\u5408\u4f5c\u5728\u5168\u5e02\u8303\u56f4\u5185\u5f00\u5c55\uff0c\u66f4\u6709\u4e0a\u6d77\u3001\u5b89\u5fbd\u548c\u5409\u6797\u7b49\u5730\u5b66\u751f\u53c2\u4e0e\u5728\u7ebf\u9009\u4fee\u3002\u5728\u5b66\u6821\u7b49\u5404\u65b9\u652f\u6301\u4e0b\uff0c\u201c\u6c42\u5e08\u5f97\u201d\u5df2\u7ecf\u53d1\u5c55\u6210\u5e08\u751f\u534f\u4f5c\u7684\u6570\u4f4d\u5b66\u4e60\u578b\u7ec4\u7ec7\uff0c\u63a2\u7d22\u65b0\u6559\u80b2\uff0c\u5c1d\u8bd5\u5728\u6559\u7684\u5185\u5bb9\u548c\u5b66\u7684\u65b9\u5f0f\u4e0a\u8fdb\u884c\u5b9e\u8df5\u6027\u7684\u6709\u6548\u63a8\u8fdb\u3002\u201c\u8ba9\u52a9\u5b66\u53d1\u70ed\u8ba9\u81ea\u5b66\u53d1\u5149\u201d\uff0c2017\u5e74\u5bd2\u5047\u6d3b\u52a8\u70ed\u62db\u4e2d~<\/p>\n

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