{"id":2961,"date":"2017-06-20T11:38:26","date_gmt":"2017-06-20T03:38:26","guid":{"rendered":"http:\/\/www.systemsci.org\/jinshanw\/?p=2961"},"modified":"2017-06-20T12:02:49","modified_gmt":"2017-06-20T04:02:49","slug":"%e3%80%8a%e6%95%b0%e5%ad%a6%e6%95%99%e5%ad%a6%e7%9a%84%e9%80%bb%e8%be%91%e3%80%8b%e8%af%bb%e4%b9%a6%e6%8a%a5%e5%91%8a","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2017\/06\/20\/%e3%80%8a%e6%95%b0%e5%ad%a6%e6%95%99%e5%ad%a6%e7%9a%84%e9%80%bb%e8%be%91%e3%80%8b%e8%af%bb%e4%b9%a6%e6%8a%a5%e5%91%8a\/","title":{"rendered":"\u300a\u6570\u5b66\u6559\u5b66\u7684\u903b\u8f91\u300b\u8bfb\u4e66\u62a5\u544a"},"content":{"rendered":"<p>\u770b\u4e86\u5f20\u9e64\u8001\u5e08\u7684\u4e66\u300a\u6570\u5b66\u6559\u5b66\u7684\u903b\u8f91\u2014\u2014\u57fa\u4e8e\u6570\u5b66\u672c\u8d28\u7684\u5206\u6790\u300b\uff0c\u603b\u7ed3\u6574\u7406\u5728\u8fd9\u91cc\u3002<\/p>\n<p>\u9996\u5148\uff0c\u8fd9\u672c\u4e66\u7684\u7406\u5ff5\u662f\uff1a\u6570\u5b66\u6559\u5b66\u9700\u8981\u89e3\u51b3\u201c\u6559\u4ec0\u4e48\u201d\u7684\u95ee\u9898\uff0c\u89e3\u51b3\u4e86\u4e4b\u540e\u624d\u662f\u201c\u600e\u4e48\u6559\u201d\u7684\u95ee\u9898\uff0c\u6700\u540e\u624d\u662f\u7ec6\u679d\u672b\u8282\u7684\u8bfe\u5802\u6d3b\u52a8\u7ec4\u7ec7\u3001\u7528\u4ec0\u4e48\u8bbe\u5907\u6765\u4e0a\u8bfe\u4e4b\u7c7b\u7684\u7eaf\u6559\u5b66\u6280\u672f\u95ee\u9898\u3002<\/p>\n<p>\u5176\u6b21\uff0c\u5728\u6559\u4ec0\u4e48\u8fd9\u4e2a\u95ee\u9898\u4e0a\uff0c\u8fd9\u672c\u4e66\u4e3b\u8981\u9610\u8ff0\u4e86\u8981\u627e\u5230\u548c\u786e\u7acb\u5b66\u79d1\u601d\u60f3\uff0c\u6574\u7406\u597d\u77e5\u8bc6\u7684\u5185\u5728\u903b\u8f91\uff0c\u56f4\u7ed5\u8fd9\u4e2a\u601d\u60f3\u548c\u903b\u8f91\u6765\u89e3\u51b3\u6559\u4ec0\u4e48\u7684\u95ee\u9898\u3002<\/p>\n<p>\u63a5\u7740\uff0c\u8fd9\u672c\u4e66\u8fd8\u4e3e\u4f8b\u6574\u7406\u4e86\u521d\u4e2d\u9ad8\u4e2d\u9636\u6bb5\u7684\u5177\u4f53\u6570\u5b66\u77e5\u8bc6\u7684\u903b\u8f91\u4f53\u7cfb\u3002\u5728\u6574\u7406\u903b\u8f91\u4f53\u7cfb\u7684\u65f6\u5019\uff0c\u8fd0\u7528\u7684\u57fa\u672c\u4e0a\u662f\u601d\u7ef4\u5bfc\u56fe\uff08\u4f5c\u8005\u53eb\u505a\u7ed3\u6784\u56fe\uff09\u7684\u5f62\u5f0f\u3002\u4e0d\u8fc7\uff0c\u4f60\u5982\u679c\u81ea\u5df1\u7ec6\u770b\uff0c\u4f60\u4f1a\u53d1\u73b0\uff0c\u8fd9\u4e9b\u601d\u7ef4\u5bfc\u56fe\u91cc\u6709\u4e13\u95e8\u8868\u793a\u5173\u7cfb\u7684\u201c\u6982\u5ff5\u201d\u3002\u56e0\u6b64\uff0c\u5b9e\u9645\u4e0a\uff0c\u4f5c\u8005\u6709\u4e00\u4e9b\u81ea\u53d1\u7684\u5bf9\u6982\u5ff5\u5730\u56fe\u7684\u8fd0\u7528\u3002<\/p>\n<p>\u5176\u4e2d\u4f5c\u8005\u7528\u4e86\u6709\u51e0\u4e2a\u4f5c\u8005\u89c9\u5f97\u8bb2\u8bfe\u8bb2\u5f97\u5f88\u597d\u7684\u8001\u5e08\u7684\u4f8b\u5b50\u6765\u8bf4\u660e\uff0c\u8bb2\u8bfe\u4e3b\u8981\u662f\u5173\u4e8e\u6559\u4ec0\u4e48\uff0c\u600e\u4e48\u6559\u7684\u95ee\u9898\u53ef\u4ee5\u5f88\u5e73\u6de1\uff0c\u53ea\u8981\u601d\u60f3\u4e0a\u5883\u754c\u591f\uff0c\u542f\u53d1\u5b66\u751f\u6295\u5165\u601d\u8003\uff0c\u505a\u5230\u6559\u5f97\u597d\u5b8c\u5168\u6ca1\u6709\u95ee\u9898\u3002<\/p>\n<p>\u8fd9\u4e9b\uff0c\u6211\u90fd\u662f\u975e\u5e38\u8d5e\u540c\u7684\uff0c\u751a\u81f3\u90fd\u53ef\u4ee5\u5f53\u505a\u6211\u7684<a href=\"http:\/\/www.systemsci.org\/jinshanw\/books\">\u300a\u6559\u7684\u66f4\u5c11\uff0c\u5b66\u5f97\u66f4\u591a\u2014\u2014\u6982\u5ff5\u5730\u56fe\u6559\u5b66\u548c\u5b66\u4e60\u65b9\u6cd5\u300b<\/a>\u7684\u4f8b\u5b50\u3002\u6559\u4ec0\u4e48\u6c38\u8fdc\u6bd4\u600e\u4e48\u6559\u91cd\u8981\uff0c\u6bd4\u600e\u4e48\u624d\u80fd\u7528\u6280\u672f\u5f62\u5f0f\u6293\u4f4f\u5b66\u751f\u6ce8\u610f\u529b\u4e4b\u7c7b\u7684\u4e0a\u8bfe\u7684\u6280\u672f\u91cd\u8981\u3002<\/p>\n<p>\u4e0d\u8fc7\uff0c\u8bf4\u5b8c\u4e86\u597d\u7684\uff0c\u5c31\u8f6e\u5230\u4e0d\u8db3\u4e86\u3002\u8fd9\u6837\u7684\u4e0d\u8db3\u5f53\u7136\u6709\u70b9\u5439\u6bdb\u6c42\u75b5\uff0c\u4e0d\u8fc7\u4e3a\u4e86\u66f4\u52a0\u4fc3\u8fdb\u4f5c\u8005\u548c\u8bfb\u8005\u7684\u601d\u8003\uff0c\u6211\u89c9\u5f97\u8fd8\u662f\u6709\u5fc5\u8981\u628a\u8fd9\u4e2a\u4e0d\u8db3\u63d0\u70bc\u51fa\u6765\u3002\u4e0d\u5f97\u4e0d\u8bf4\uff0c\u975e\u5e38\u9057\u61be\uff0c\u4f5c\u8005\u5bf9\u4e8e\u6570\u5b66\u672c\u8eab\u7684\u89c6\u91ce\u548c\u7406\u89e3\uff0c\u5c3d\u7ba1\u5bf9\u4e8e\u4e2d\u5b66\u8001\u5e08\u5df2\u7ecf\u662f\u5f88\u9ad8\u7684\u5883\u754c\u4e86\uff0c\u9650\u5236\u4e86\u5bf9\u201c\u6559\u4ec0\u4e48\u201d\u66f4\u597d\u7684\u56de\u7b54\u3002\u8fd9\u4e2a\u7275\u6d89\u5230\u201c\u6570\u5b66\u662f\u4ec0\u4e48\u201d\u7684\u95ee\u9898\u3002\u5efa\u8bae\u4f5c\u8005\u53bb\u770b\u770b\u4e0b\u9762\u7684\u4e24\u672c\u4e66\uff0c\u8fd8\u6709\u5176\u4ed6Ted\u3000Talk\u7684\u89c6\u9891\u3002\u5f53\u7136\uff0c\u6211\u7684\u4e66\u4e5f\u503c\u5f97\u770b\u770b\uff0c\u5176\u4e2d\u6709\u4e13\u95e8\u5173\u4e8e\u6570\u5b66\u6559\u4ec0\u4e48\u7684\u8ba8\u8bba\u3002<\/p>\n<ol>\n<li>Bender \u300aAn Introduction to Mathematical Modeling\uff08\u6570\u5b66\u6a21\u578b\u5f15\u8bba\uff09\u300b<\/li>\n<li>Gowers\u300aMathematics: A Very Short Introduction\uff08\u725b\u6d25\u8bfb\u672c\u6570\u5b66\uff09\u300b<\/li>\n<li>Chris Anderson: Questions no one knows the answers to\uff0c\u597d\u5947\u5fc3\u3001\u79d1\u5b66\u548c\u6559\u80b2<\/li>\n<li>Marcus du Sautoy: Symmetry, reality&#8217;s riddle\uff0c\u4e16\u754c\u4e2d\u7684\u6570\u5b66\uff0c\u5c24\u5176\u662f\u5bf9\u79f0\u6027<\/li>\n<li>Roger Antonsen: Math is the hidden secret to understanding the world\uff0c\u5173\u4e8e\u201c\u7406\u89e3\u201d\u548c\u6570\u5b66\uff0c\u4ee5\u53ca\u6570\u5b66\u4f5c\u4e3a\u73b0\u5b9e\u7684\u8868\u793a<\/li>\n<li>Conrad Wolfram: Teaching kids real math with computers\uff0c\u6570\u5b66\u7684\u56db\u4e2a\u9636\u6bb5\uff08\u63d0\u51fa\u95ee\u9898\u3001\u62bd\u8c61\u5316\u3001\u8ba1\u7b97\u6c42\u89e3\u3001\u9a8c\u8bc1\u548c\u63d0\u9ad8\uff09\u548c\u5f53\u524d\u6570\u5b66\u6559\u80b2\u4ee5\u53ca\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6848<\/li>\n<li>Dan Meyer: Math class needs a makeover\uff0c\u6570\u5b66\u6559\u80b2\u548c\u7c97\u7cd9\u95ee\u9898\u7684\u5173\u7cfb<\/li>\n<\/ol>\n<p>\u6570\u5b66\u662f\u601d\u7ef4\u7684\u8bed\u8a00\uff0c\u662f\u7528\u5f62\u5f0f\u8bed\u8a00\u7684\u65b9\u5f0f\u628a\u601d\u7ef4\u660e\u786e\u5730\u8868\u8fbe\u51fa\u6765\u3002\u5927\u591a\u6570\u65f6\u5019\u601d\u7ef4\u7684\u5bf9\u8c61\u662f\u73b0\u5b9e\u7684\u4e16\u754c\uff0c\u6216\u8005\u4eba\u7684\u5fc3\u667a\u5bf9\u73b0\u5b9e\u4e16\u754c\u7684\u62bd\u8c61\u3002\u56e0\u6b64\uff0c\u5c3d\u7ba1\u6ca1\u6709\u5fc5\u8981\u771f\u7684\u6709\u8054\u7cfb\uff0c\u6570\u5b66\u6240\u8868\u8fbe\u7684\u5185\u5bb9\u672c\u8eab\uff0c\u7ecf\u5e38\u548c\u73b0\u5b9e\u662f\u6709\u5173\u7cfb\u7684\u3002\u6309\u7167\u8fd9\u6837\u7684\u6570\u5b66\u662f\u4ec0\u4e48\u7406\u89e3\uff0c\u6211\u4eec\u53d1\u73b0\uff0c\u5bf9\u4e00\u4e2a\u95ee\u9898\u505a\u6570\u5b66\u7684\u601d\u8003\u9700\u8981\u5206\u6210\u51e0\u4e2a\u4e0d\u540c\u7684\u9636\u6bb5\uff1a\u4ece\u73b0\u5b9e\u95ee\u9898\u4e2d\u53d7\u542f\u53d1\u7684\u9636\u6bb5\uff0c\u4e5f\u5c31\u662f\u63d0\u51fa\u95ee\u9898\uff1b\u628a\u63d0\u51fa\u6765\u7684\u95ee\u9898\u53d8\u6210\u4e00\u4e2a\u6570\u5b66\u95ee\u9898\u7684\u9636\u6bb5\uff1b\u901a\u8fc7\u903b\u8f91\u63a8\u7406\u548c\u8ba1\u7b97\u6765\u6c42\u89e3\u6570\u5b66\u95ee\u9898\u7684\u9636\u6bb5\uff1b\u628a\u7b54\u6848\u7528\u5230\u539f\u59cb\u7684\u95ee\u9898\u4e2d\u6765\u68c0\u9a8c\u7684\u9636\u6bb5\u3002\u5f53\u7136\uff0c\u540e\u8005\u57fa\u672c\u4e0a\u662f\u79d1\u5b66\u5bb6\u5728\u505a\u3002\u6570\u5b66\u5bb6\u4e5f\u505a\u4e00\u4e9b\u3002\u5982\u679c\u7ed3\u679c\u4e0d\u76f8\u7b26\uff0c\u8fd8\u8981\u56de\u53bb\u4fee\u6539\u4e4b\u524d\u7684\u63d0\u51fa\u95ee\u9898\u3001\u6570\u5b66\u5316\u95ee\u9898\u3001\u6c42\u89e3\u95ee\u9898\u7684\u9636\u6bb5\u3002<\/p>\n<p>\u5206\u6210\u8fd9\u6837\u56db\u4e2a\u9636\u6bb5\u4e4b\u540e\uff0c\u6211\u4eec\u518d\u6765\u770b\uff0c\u6570\u5b66\u8bfe\u5802\u73b0\u5728\u5927\u591a\u6570\u65f6\u5019\u5728\u505a\u4ec0\u4e48\uff0c\u5e94\u8be5\u505a\u4ec0\u4e48\u3002\u6211\u4eec\u53d1\u73b0\uff0c\u7edd\u5927\u591a\u6570\u65f6\u5019\uff0c\u6570\u5b66\u8bfe\u5802\u5728\u6559\u4f60\u7b2c\u4e09\u4e2a\u9636\u6bb5\u2014\u2014\u901a\u8fc7\u903b\u8f91\u63a8\u65ad\u548c\u8ba1\u7b97\u6765\u89e3\u51b3\u5df2\u7ecf\u6570\u5b66\u5316\u4e4b\u540e\u7684\u95ee\u9898\u3002\u5bf9\u4e8e\u63d0\u51fa\u95ee\u9898\u3001\u6570\u5b66\u5316\u95ee\u9898\u548c\u7b54\u6848\u7684\u68c0\u9a8c\uff0c\u57fa\u672c\u4e0a\u4e0d\u6d89\u53ca\u3002\u751a\u81f3\uff0c\u7edd\u5927\u591a\u6570\u65f6\u5019\uff0c\u672c\u6765\u6709\u8fd9\u4e2a\u6559\u5b66\u76ee\u7684\u7684\u5e94\u7528\u9898\uff0c\u4e5f\u662f\u5df2\u7ecf\u6570\u5b66\u5316\u4e4b\u540e\u7684\u95ee\u9898\u3002\u56e0\u6b64\uff0c\u6570\u5b66\u9996\u5148\u8981\u6559\u6570\u5b66\u5316\uff0c\u62bd\u8c61\u5316\u7684\u80fd\u529b\uff0c\u4e5f\u5c31\u662f\u4ece\u73b0\u5b9e\u4e2d\u4ece\u7c97\u7cd9\u7684\u95ee\u9898\u91cc\u9762\u63d0\u70bc\u6570\u5b66\u95ee\u9898\u7684\u80fd\u529b\uff0c\u505a\u7b80\u5316\u5047\u8bbe\u7684\u80fd\u529b\u3002\u5f53\u7136\uff0c\u5728\u89e3\u51b3\u6570\u5b66\u95ee\u9898\u7684\u9636\u6bb5\uff0c\u4e5f\u6709\u4e00\u4e9b\u6570\u5b66\u601d\u60f3\uff0c\u4f8b\u5982\u5927\u5230\u6570\u5b66\u5f52\u7eb3\u6cd5\u2014\u2014\u770b\u770b\u903b\u8f91\u8d77\u70b9\u600e\u6837\uff0c\u518d\u770b\u770b\u80fd\u4e0d\u80fd\u5efa\u7acb\u4e00\u4e2a\u94fe\u6761\uff1b\u4f8b\u5982\u5c0f\u5230\u4ee3\u6570\u7684\u601d\u60f3\u2014\u2014\u4e60\u60ef\u7528\u7b26\u53f7\u6765\u8868\u793a\u5173\u7cfb\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u5177\u4f53\u6570\u5b57\u4e4b\u95f4\u7684\u8ba1\u7b97\uff1b\u518d\u4f8b\u5982\u5c0f\u5230\u4ee3\u6570\u8868\u8fbe\u5f0f\u548c\u56fe\u5f62\u7684\u7ed3\u5408\uff1b\u518d\u4f8b\u5982\u5927\u5230\u7528\u96c6\u5408\u548c\u7fa4\u8bba\u6765\u770b\u6574\u4e2a\u6570\u5b66\u3002\u4f46\u662f\uff0c\u8fd9\u4e9b\u6570\u5b66\u89e3\u51b3\u95ee\u9898\u7684\u601d\u60f3\uff0c\u90fd\u8d76\u4e0d\u4e0a\u63d0\u51fa\u95ee\u9898\u548c\u6570\u5b66\u5316\u95ee\u9898\u7684\u5730\u4f4d\u3002<\/p>\n<p>\u6709\u5f88\u53ef\u80fd\uff0c\u5176\u5b9e\u4f60\u7684\u6570\u5b66\u8bfe\u8fde\u7b2c\u4e09\u4e2a\u9636\u6bb5\u90fd\u6ca1\u6709\u597d\u597d\u6559\u4f60\uff0c\u4ec5\u4ec5\u662f\u5728\u6559\u4f60\u7b2c\u4e09\u4e2a\u9636\u6bb5\u7684\u5f62\u5f0f\uff1a\u628a\u522b\u4eba\u5df2\u7ecf\u63d0\u51fa\u6765\u7684\u5982\u4f55\u8ba1\u7b97\u5982\u4f55\u6c42\u89e3\u7684\u8fc7\u7a0b\uff0c\u7ec3\u719f\u4e86\u3002\u8fd9\u5c31\u662f\u66f4\u5927\u7684\u60b2\u54c0\u4e86\u3002\u5982\u679c\u8bf4\uff0c\u4e00\u4e2a\u6570\u5b66\u8001\u5e08\u80fd\u591f\u8ba9\u4f60\u4f53\u4f1a\u8fd9\u4e2a\u7b2c\u4e09\u9636\u6bb5\u7684\u601d\u8003\u8fc7\u7a0b\u3001\u6570\u5b66\u601d\u60f3\uff0c\u90a3\u4e48\uff0c\u4ed6\\\u5979\u5df2\u7ecf\u7b97\u4e0d\u9519\u7684\u8001\u5e08\u4e86\u3002\u5f88\u6709\u53ef\u80fd\u8fd9\u4e9b\u4f60\u90fd\u4f53\u4f1a\u4e0d\u5230\uff0c\u53ea\u80fd\u591f\u505a\u5230\u5b66\u4f1a\u8ba1\u7b97\u7684\u8fc7\u7a0b\uff0c\u7136\u540e\uff0c\u4ece\u4e0d\u65ad\u5730\u91cd\u590d\u8fd9\u4e2a\u8fc7\u7a0b\u4e4b\u4e2d\uff0c\u6765\u5b66\u4f1a\u89e3\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