{"id":66342,"date":"2026-10-21T02:01:16","date_gmt":"2026-10-21T06:01:16","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=66342"},"modified":"2026-10-21T02:01:18","modified_gmt":"2026-10-21T06:01:18","slug":"age-singapore-math","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/zh\/age-singapore-math-post-66342\/","title":{"rendered":"\u65b0\u52a0\u5761\u6570\u5b66\u9002\u5408\u51e0\u5c81\uff1f\u5404\u5e74\u9f84\u6bb5\u600e\u4e48\u5b66\uff08\u5bb6\u957f\u6307\u5357\uff09"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\n<p><a href=\"https:\/\/www.wukongsch.com\/zh\/learn-math\/singapore-math\/\">\u65b0\u52a0\u5761\u6570\u5b66<\/a>\u662f\u4e3a\u5c0f\u5b66\u9636\u6bb5\u8bbe\u8ba1\u7684\uff0c\u5927\u81f4\u5bf9\u5e94 6 \u5230 12 \u5c81\uff0c\u5f88\u591a\u51fa\u7248\u793e\u548c\u6559\u80b2\u673a\u6784\u4e5f\u4e3a\u66f4\u5c0f\u7684\u5b69\u5b50\u63a8\u51fa\u4e86\u5b66\u524d\u7248\u672c\u3002\u6ca1\u6709\u54ea\u4e2a\u8d77\u59cb\u5e74\u9f84\u9002\u5408\u6240\u6709\u5b69\u5b50\uff1a\u5b69\u5b50\u662f\u5426\u51c6\u5907\u597d\uff0c\u6bd4\u65e5\u5386\u5e74\u9f84\u66f4\u91cd\u8981\u3002\u5728\u65b0\u52a0\u5761\uff0c\u5b69\u5b50\u5728\u6ee1 7 \u5c81\u7684\u90a3\u4e00\u5e74\u5165\u8bfb\u5c0f\u4e00\uff08Primary 1\uff09\uff0c\u800c\u6559\u6750\u7684\u7ea7\u522b\u7f16\u53f7\u4e5f\u4e0d\u80fd\u76f4\u63a5\u5bf9\u5e94\u7f8e\u56fd\u7684\u5e74\u7ea7\u3002\u5f53\u5b69\u5b50\u80fd\u628a\u4e00\u4e2a\u6982\u5ff5\u8bb2\u6e05\u695a\u3001\u753b\u51fa\u6765\uff0c\u5e76\u7528\u5230\u65b0\u9898\u4e0a\u65f6\uff0c\u5c31\u53ef\u4ee5\u8fdb\u5165\u4e0b\u4e00\u9636\u6bb5\u3002\u672c\u6587\u4ecb\u7ecd\u6bcf\u4e2a\u5e74\u9f84\u6bb5\u8be5\u505a\u4ec0\u4e48\u3001\u600e\u4e48\u5224\u65ad\u5b69\u5b50\u662f\u5426\u53ef\u4ee5\u8fdb\u5165\u4e0b\u4e00\u9636\u6bb5\uff0c\u4ee5\u53ca\u4ec0\u4e48\u65f6\u5019\u9700\u8981\u989d\u5916\u7684\u5e2e\u52a9\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u65b0\u52a0\u5761\u6570\u5b66\u9002\u5408\u51e0\u5c81\"><span class=\"ez-toc-section\" id=\"%e6%96%b0%e5%8a%a0%e5%9d%a1%e6%95%b0%e5%ad%a6%e9%80%82%e5%90%88%e5%87%a0%e5%b2%81%ef%bc%9f\"><\/span>\u65b0\u52a0\u5761\u6570\u5b66\u9002\u5408\u51e0\u5c81\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u65b0\u52a0\u5761\u6570\u5b66\u662f\u4e3a\u54ea\u4e2a\u9636\u6bb5\u7684\u5b69\u5b50\u8bbe\u8ba1\u7684\">\u65b0\u52a0\u5761\u6570\u5b66\u662f\u4e3a\u54ea\u4e2a\u9636\u6bb5\u7684\u5b69\u5b50\u8bbe\u8ba1\u7684\uff1f<\/h3>\n\n\n\n<p>\u65b0\u52a0\u5761\u6570\u5b66\u662f\u56f4\u7ed5\u65b0\u52a0\u5761\u56fd\u5bb6\u5c0f\u5b66\u6570\u5b66\u8bfe\u7a0b\u5f62\u6210\u7684\u4e00\u5957\u6559\u5b66\u65b9\u6cd5\uff0c\u8bfe\u7a0b\u4ece\u5c0f\u4e00\uff08Primary 1\uff09\u5230\u5c0f\u516d\uff08Primary 6\uff09\uff0c\u5927\u81f4\u5bf9\u5e94 6 \u5230 12 \u5c81\u3002<\/p>\n\n\n\n<p>\u5b83\u7684\u6807\u5fd7\u6027\u65b9\u6cd5\u662f CPA\uff1a\u5b69\u5b50\u5148\u7528\u5b9e\u7269\u5b66\u4e60\u4e00\u4e2a\u6982\u5ff5\uff08\u5177\u8c61\uff0cConcrete\uff09\uff0c\u518d\u7528\u56fe\u5f62\uff0c\u6bd4\u5982\u7ebf\u6bb5\u56fe\uff08bar model\uff09\u6765\u8868\u793a\uff08\u56fe\u50cf\uff0cPictorial\uff09\uff0c\u6700\u540e\u7528\u6570\u5b57\u548c\u7b26\u53f7\u8868\u8fbe\uff08\u62bd\u8c61\uff0cAbstract\uff09\u3002\u7ebf\u6bb5\u56fe\u65b9\u6cd5\u672c\u8eab\u662f 1983 \u5e74\u88ab\u5f15\u5165\u65b0\u52a0\u5761\u5c0f\u5b66\u8bfe\u7a0b\u7684\uff08<a href=\"https:\/\/link.springer.com\/doi\/10.1007\/s11858-018-1000-y\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">ZDM \u7efc\u8ff0<\/a>\uff09\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u6709\u6ca1\u6709\u6700\u4f73\u7684\u5f00\u59cb\u5e74\u9f84\">\u6709\u6ca1\u6709\u6700\u4f73\u7684\u5f00\u59cb\u5e74\u9f84\uff1f<\/h3>\n\n\n\n<p>\u6700\u4f73\u8d77\u70b9\u7531\u5b69\u5b50\u662f\u5426\u51c6\u5907\u597d\u51b3\u5b9a\uff0c\u800c\u4e0d\u662f\u65e5\u5386\u5e74\u9f84\u30025 \u5c81\u5f00\u59cb\u7684\u5b69\u5b50\u548c 8 \u5c81\u5f00\u59cb\u7684\u5b69\u5b50\u90fd\u53ef\u80fd\u5b66\u5f97\u5f88\u597d\uff0c\u53ea\u8981\u6bcf\u4e2a\u5b69\u5b50\u90fd\u6309\u201c\u5177\u8c61\u3001\u56fe\u50cf\u3001\u62bd\u8c61\u201d\u7684\u987a\u5e8f\u4f9d\u6b21\u8d70\u5b8c\u8fd9\u51e0\u6b65\u3002<\/p>\n\n\n\n<p>\u5f53\u5b69\u5b50\u80fd\u51c6\u786e\u6570\u51fa\u4e00\u5c0f\u5806\u7269\u54c1\u3001\u80fd\u6bd4\u8f83\u4e24\u7ec4\u4e1c\u897f\uff08\u201c\u54ea\u4e00\u7ec4\u66f4\u591a\uff1f\u201d\uff09\uff0c\u5e76\u4e14\u80fd\u8bf4\u51fa\u81ea\u5df1\u5728\u505a\u4ec0\u4e48\u65f6\uff0c\u901a\u5e38\u5c31\u53ef\u4ee5\u4e0a\u7b2c\u4e00\u8282\u65b0\u52a0\u5761\u6570\u5b66\u8bfe\u4e86\u3002\u8fd9\u4e9b\u548c MOE \u5c0f\u5b66\u6570\u5b66\u5927\u7eb2\u5217\u51fa\u7684\u65e9\u671f\u6570\u611f\u6280\u80fd\uff08\u914d\u5bf9\u3001\u6570\u6570\u3001\u5206\u7c7b\u3001\u6bd4\u8f83\uff09\u4e00\u81f4\uff0c\u5927\u7eb2\u8ba4\u4e3a\u5b83\u4eec\u662f\u5f00\u59cb\u5c0f\u4e00\u5b66\u4e60\u7684\u826f\u597d\u57fa\u7840\u3002\u8fd8\u505a\u4e0d\u5230\u8fd9\u4e9b\u7684\u5b69\u5b50\uff0c\u5728\u62ff\u8d77\u7ec3\u4e60\u518c\u4e4b\u524d\uff0c\u5148\u591a\u505a\u52a8\u624b\u6e38\u620f\u4f1a\u66f4\u6709\u5e2e\u52a9\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u65b0\u52a0\u5761\u7684\u5b69\u5b50\u51e0\u5c81\u5f00\u59cb\u5b66\u65b0\u52a0\u5761\u6570\u5b66\"><span class=\"ez-toc-section\" id=\"%e6%96%b0%e5%8a%a0%e5%9d%a1%e7%9a%84%e5%ad%a9%e5%ad%90%e5%87%a0%e5%b2%81%e5%bc%80%e5%a7%8b%e5%ad%a6%e6%96%b0%e5%8a%a0%e5%9d%a1%e6%95%b0%e5%ad%a6%ef%bc%9f\"><\/span>\u65b0\u52a0\u5761\u7684\u5b69\u5b50\u51e0\u5c81\u5f00\u59cb\u5b66\u65b0\u52a0\u5761\u6570\u5b66\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5c0f\u4e00\u4ece\u51e0\u5c81\u5f00\u59cb\">\u5c0f\u4e00\u4ece\u51e0\u5c81\u5f00\u59cb\uff1f<\/h3>\n\n\n\n<p>\u65b0\u52a0\u5761\u7684\u5c0f\u5b66\u8bfe\u7a0b\u5927\u7eb2\u4ece\u5c0f\u4e00\u5f00\u59cb\uff0c\u5e76\u5047\u5b9a\u5b69\u5b50\u6ca1\u6709\u63a5\u53d7\u8fc7\u6b63\u5f0f\u7684\u6570\u5b66\u5b66\u4e60\uff0c\u4e0d\u8fc7\u914d\u5bf9\u3001\u6570\u6570\u3001\u5206\u7c7b\u3001\u6bd4\u8f83\u548c\u8ba4\u8bc6\u7b80\u5355\u89c4\u5f8b\u7b49\u65e9\u671f\u6570\u611f\u6280\u80fd\uff0c\u5bf9\u5f00\u59cb\u5c0f\u4e00\u7684\u5b66\u4e60\u5f88\u6709\u5e2e\u52a9\u3002\u5927\u7eb2\u4e0d\u5305\u542b\u5355\u72ec\u7684\u5e7c\u513f\u56ed\u6570\u5b66\u7ea7\u522b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u665a\u4e00\u70b9\u5f00\u59cb\u5b69\u5b50\u5c31\u843d\u540e\u4e86\u5417\">\u665a\u4e00\u70b9\u5f00\u59cb\uff0c\u5b69\u5b50\u5c31\u843d\u540e\u4e86\u5417\uff1f<\/h3>\n\n\n\n<p>\u4e0d\u4f1a\u3002\u53ea\u8981\u5b69\u5b50\u80fd\u7406\u89e3\u6bcf\u4e00\u6b65\uff0c\u665a\u4e00\u70b9\u5f00\u59cb\u65b0\u52a0\u5761\u6570\u5b66\u5e76\u4e0d\u7b97\u5ef6\u8fdf\u3002\u6bd4\u5982\u7f8e\u56fd\u5404\u5dde\u3001\u5404\u4eba\u7684\u5165\u5b66\u5e74\u9f84\u4e0d\u540c\uff0c\u6240\u4ee5\u7f8e\u56fd\u4e00\u5e74\u7ea7\u5b66\u751f\u548c\u65b0\u52a0\u5761\u5c0f\u4e00\u5b66\u751f\u7684\u5e74\u9f84\u53ef\u80fd\u76f8\u8fd1\uff0c\u4e5f\u53ef\u80fd\u76f8\u5dee\u6700\u591a\u4e00\u5e74\u3002<\/p>\n\n\n\n<p>\u66f4\u6709\u7528\u7684\u5224\u65ad\u6807\u51c6\u662f\u5b69\u5b50\u80fd\u89e3\u91ca\u4ec0\u4e48\u3001\u80fd\u753b\u51fa\u4ec0\u4e48\uff0c\u800c\u4e0d\u662f\u5b69\u5b50\u5b66\u5230\u4e86\u54ea\u4e00\u518c\u6559\u6750\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u65b0\u52a0\u5761\u6570\u5b66\u7684\u7ea7\u522b\u548c\u7f8e\u56fd\u5e74\u7ea7\u4e00\u6837\u5417\"><span class=\"ez-toc-section\" id=\"%e6%96%b0%e5%8a%a0%e5%9d%a1%e6%95%b0%e5%ad%a6%e7%9a%84%e7%ba%a7%e5%88%ab%e5%92%8c%e7%be%8e%e5%9b%bd%e5%b9%b4%e7%ba%a7%e4%b8%80%e6%a0%b7%e5%90%97%ef%bc%9f\"><\/span>\u65b0\u52a0\u5761\u6570\u5b66\u7684\u7ea7\u522b\u548c\u7f8e\u56fd\u5e74\u7ea7\u4e00\u6837\u5417\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5e74\u9f84\u7f8e\u56fd\u5e74\u7ea7\u548c\u65b0\u52a0\u5761\u7ea7\u522b\u662f\u600e\u4e48\u5bf9\u5e94\u7684\">\u5e74\u9f84\u3001\u7f8e\u56fd\u5e74\u7ea7\u548c\u65b0\u52a0\u5761\u7ea7\u522b\u662f\u600e\u4e48\u5bf9\u5e94\u7684\uff1f<\/h3>\n\n\n\n<p>\u4e0b\u8868\u7ed9\u51fa\u4e00\u4e2a\u5927\u81f4\u7684\u53c2\u8003\u3002\u751f\u65e5\u3001\u5b66\u6821\u7684\u5165\u5b66\u622a\u6b62\u65e5\u671f\u548c\u4e0d\u540c\u6559\u6750\u7cfb\u5217\u90fd\u4f1a\u8ba9\u5bf9\u5e94\u5173\u7cfb\u4ea7\u751f\u504f\u5dee\uff0c\u6240\u4ee5\u8bf7\u628a\u8fd9\u5f20\u8868\u5f53\u4f5c\u8d77\u70b9\uff0c\u800c\u4e0d\u662f\u786c\u6027\u89c4\u5b9a\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th>\u5e74\u9f84\uff08\u7ea6\uff09<\/th><th>\u7f8e\u56fd\u5e38\u89c1\u5e74\u7ea7<\/th><th>\u65b0\u52a0\u5761\u5c0f\u5b66\u7ea7\u522b\uff08\u7ea6\uff09<\/th><th>\u4e3b\u8981\u76ee\u6807<\/th><th>CPA \u91cd\u70b9<\/th><\/tr><tr><td>4\u20135 \u5c81<\/td><td>Pre-K<\/td><td>\u4e0d\u5c5e\u4e8e\u5c0f\u5b66\u5927\u7eb2<\/td><td>\u6570\u6570\u3001\u5206\u7c7b\u3001\u6bd4\u8f83<\/td><td>\u4ee5\u5177\u8c61\u4e3a\u4e3b<\/td><\/tr><tr><td>5\u20136 \u5c81<\/td><td>\u5e7c\u513f\u56ed\uff08K\uff09<\/td><td>\u4e0d\u5c5e\u4e8e\u5c0f\u5b66\u5927\u7eb2<\/td><td>20 \u4ee5\u5185\u6570\u611f\u3001\u56fe\u5f62<\/td><td>\u5177\u8c61\uff0c\u5f00\u59cb\u63a5\u89e6\u56fe\u50cf<\/td><\/tr><tr><td>6\u20137 \u5c81<\/td><td>\u4e00\u5e74\u7ea7<\/td><td>\u7ea6\u5c0f\u4e00<\/td><td>\u7406\u89e3\u52a0\u6cd5\u548c\u51cf\u6cd5\u7684\u610f\u4e49<\/td><td>\u5177\u8c61\u5230\u56fe\u50cf<\/td><\/tr><tr><td>7\u20139 \u5c81<\/td><td>\u4e8c\u81f3\u4e09\u5e74\u7ea7<\/td><td>\u7ea6\u5c0f\u4e00\u81f3\u5c0f\u4e09<\/td><td>\u591a\u4f4d\u6570\u8fd0\u7b97\uff0c\u521d\u6b21\u4f7f\u7528\u7ebf\u6bb5\u56fe<\/td><td>\u56fe\u50cf<\/td><\/tr><tr><td>9\u201311 \u5c81<\/td><td>\u56db\u81f3\u4e94\u5e74\u7ea7<\/td><td>\u7ea6\u5c0f\u4e09\u81f3\u5c0f\u4e94<\/td><td>\u5206\u6570\u3001\u591a\u6b65\u9aa4\u5e94\u7528\u9898\uff1b\u767e\u5206\u6570\u548c\u6bd4\u7387\u5728\u5c0f\u4e94<\/td><td>\u56fe\u50cf\u5230\u62bd\u8c61<\/td><\/tr><tr><td>11\u201312 \u5c81<\/td><td>\u516d\u5e74\u7ea7<\/td><td>\u7ea6\u5c0f\u4e94\u81f3\u5c0f\u516d<\/td><td>\u5c0f\u516d\u5f00\u59cb\u5b66\u6bd4\u3001\u4ee3\u6570\u4e0e\u62bd\u8c61\u63a8\u7406<\/td><td>\u62bd\u8c61<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>MOE \u81ea\u5df1\u7684\u8bfe\u7a0b\u5927\u7eb2\u80fd\u652f\u6301\u8fd9\u5f20\u8868\u91cc\u7684\u51e0\u70b9\u3002\u767e\u5206\u6570\u548c\u6bd4\u7387\uff08rate\uff09\u5728\u5c0f\u4e94\u5f15\u5165\uff1b\u6bd4\uff08ratio\uff09\u3001\u4ee3\u6570\u548c\u5706\u5728\u5c0f\u516d\u5f15\u5165\uff1b\u5206\u6570\u4ece\u5c0f\u4e8c\u5f00\u59cb\uff0c\u5e76\u5728\u4e4b\u540e\u7684\u5e74\u7ea7\u91cc\u4e0d\u65ad\u5ef6\u4f38\u3002\u8fd9\u4e9b\u5185\u5bb9\u5728\u73b0\u884c\u7684 <a href=\"https:\/\/chuachukangpri.moe.edu.sg\/files\/2021_Primary_Mathematics_Syllabus_P1_to_P6.pdf\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">2021 \u5e74\u5927\u7eb2<\/a>\u4e2d\u9010\u7ea7\u5217\u51fa\uff0c\u8be5\u5927\u7eb2\u4ece 2025 \u5e74\u8d77\u9002\u7528\u4e8e\u5c0f\u4e94\uff0c\u4ece 2026 \u5e74\u8d77\u9002\u7528\u4e8e\u5c0f\u516d\u3002\u6982\u89c8\u89c1 <a href=\"https:\/\/www.moe.gov.sg\/primary\/curriculum\/syllabus\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">MOE \u5c0f\u5b66\u6570\u5b66\u5927\u7eb2\u9875\u9762<\/a>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u4e3a\u4ec0\u4e48\u6559\u6750\u7684\u7ea7\u522b\u7f16\u53f7\u4f1a\u8ba9\u5bb6\u957f\u56f0\u60d1\">\u4e3a\u4ec0\u4e48\u6559\u6750\u7684\u7ea7\u522b\u7f16\u53f7\u4f1a\u8ba9\u5bb6\u957f\u56f0\u60d1\uff1f<\/h3>\n\n\n\n<p>\u5f88\u591a\u57fa\u4e8e\u65b0\u52a0\u5761\u5927\u7eb2\u7684\u6559\u6750\u7cfb\u5217\uff0c\u628a\u6bcf\u4e2a\u5c0f\u5b66\u7ea7\u522b\u5206\u6210\u4e24\u4e2a\u534a\u5e74\u7684\u5206\u518c\uff0c\u5e38\u7528 A\u3001B \u6765\u6807\u8bb0\uff0c\u800c\u8fd9\u4e9b\u6807\u8bb0\u548c\u7f8e\u56fd\u7684\u5e74\u7ea7\u540d\u79f0\u5e76\u4e0d\u5bf9\u5e94 [\u5f85\u6838\u5b9e\uff1a\u5e38\u89c1\u6559\u6750\u7684\u5206\u518c\u65b9\u5f0f]\u3002\u6240\u4ee5\u4e00\u672c\u6807\u7740\u201cLevel 2\u201d\u7684\u4e66\uff0c\u4e0d\u4e00\u5b9a\u5c31\u662f\u4e8c\u5e74\u7ea7\u7684\u6570\u5b66\u3002<\/p>\n\n\n\n<p>\u5bb6\u957f\u53ef\u4ee5\u901a\u8fc7\u4e00\u6b21\u7b80\u77ed\u7684\u6478\u5e95\uff0c\u4ee5\u53ca\u548c\u5b69\u5b50\u804a\u4e00\u804a\uff0c\u6765\u786e\u5b9a\u8d77\u70b9\uff0c\u800c\u4e0d\u662f\u770b\u5c01\u9762\u4e0a\u7684\u6807\u7b7e\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u6bcf\u4e2a\u5e74\u9f84\u6bb5\u8be5\u600e\u4e48\u6559\u65b0\u52a0\u5761\u6570\u5b66\"><span class=\"ez-toc-section\" id=\"%e6%af%8f%e4%b8%aa%e5%b9%b4%e9%be%84%e6%ae%b5%e8%af%a5%e6%80%8e%e4%b9%88%e6%95%99%e6%96%b0%e5%8a%a0%e5%9d%a1%e6%95%b0%e5%ad%a6%ef%bc%9f\"><\/span>\u6bcf\u4e2a\u5e74\u9f84\u6bb5\u8be5\u600e\u4e48\u6559\u65b0\u52a0\u5761\u6570\u5b66\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"46-\u5c81\u5b66\u524d\u9636\u6bb5\u6253\u4ec0\u4e48\u57fa\u7840\">4\u20136 \u5c81\uff1a\u5b66\u524d\u9636\u6bb5\u6253\u4ec0\u4e48\u57fa\u7840\uff1f<\/h3>\n\n\n\n<p>4 \u5230 6 \u5c81\u7684\u5b69\u5b50\u6700\u9002\u5408\u901a\u8fc7\u201c\u5177\u8c61\u201d\u8fd9\u4e00\u6b65\u6765\u5b66\u4e60\u3002\u76ee\u6807\u662f\u5efa\u7acb\u5927\u7ea6 20 \u4ee5\u5185\u7684\u6570\u611f\uff1a\u6570\u6570\u3001\u5206\u7c7b\u3001\u6bd4\u8f83\uff0c\u4ee5\u53ca\u53d1\u73b0\u89c4\u5f8b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8bd5\u8bd5\u8fd9\u4e2a\uff0810 \u5206\u949f\uff09\uff1a<\/strong> \u4e00\u4e2a\u676f\u5b50\u91cc\u653e 3 \u5757\u79ef\u6728\uff0c\u53e6\u4e00\u4e2a\u653e 2 \u5757\uff0c\u7136\u540e\u95ee\uff1a\u201c\u4e00\u5171\u6709\u51e0\u5757\uff1f\u6446\u7ed9\u6211\u770b\u3002\u201d\u8ba9\u5b69\u5b50\u52a8\u624b\u79fb\u52a8\u79ef\u6728\uff0c\u800c\u4e0d\u662f\u5199 3 + 2 = 5\u3002<\/li>\n\n\n\n<li><strong>\u638c\u63e1\u7684\u8868\u73b0\uff1a<\/strong> \u5b69\u5b50\u80fd\u51c6\u786e\u6570\u6570\uff0c\u505a\u5230\u4e00\u4e2a\u6570\u5bf9\u5e94\u4e00\u4e2a\u7269\u54c1\uff0c\u5e76\u80fd\u89e3\u91ca\u4e3a\u4ec0\u4e48\u4e24\u7ec4\u4e1c\u897f\u4e00\u6837\u591a\u6216\u4e0d\u4e00\u6837\u591a\u3002<\/li>\n\n\n\n<li><strong>\u5e38\u89c1\u8bef\u533a\uff1a<\/strong> \u5b69\u5b50\u8fd8\u4e0d\u80fd\u7528\u5b9e\u7269\u8868\u793a\u4e00\u4e2a\u6570\u91cf\uff0c\u5c31\u6025\u7740\u505a\u7ec3\u4e60\u518c\u3001\u80cc\u7b97\u5f0f\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"67-\u5c81\u5b69\u5b50\u600e\u4e48\u4ece\u5b9e\u7269\u8fc7\u6e21\u5230\u56fe\u5f62\">6\u20137 \u5c81\uff1a\u5b69\u5b50\u600e\u4e48\u4ece\u5b9e\u7269\u8fc7\u6e21\u5230\u56fe\u5f62\uff1f<\/h3>\n\n\n\n<p>6 \u5230 7 \u5c81\u7684\u5b69\u5b50\u5f00\u59cb\u4ece\u201c\u5177\u8c61\u201d\u5411\u201c\u56fe\u50cf\u201d\u8fc7\u6e21\u3002\u76ee\u6807\u662f\u7406\u89e3\u52a0\u6cd5\u548c\u51cf\u6cd5\u7684\u610f\u4e49\uff0c\u5305\u62ec\u4e00\u4e2a\u6574\u4f53\u600e\u6837\u62c6\u6210\u51e0\u4e2a\u90e8\u5206\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8bd5\u8bd5\u8fd9\u4e2a\uff1a<\/strong> \u7528\u5b9e\u7269\u89e3\u5b8c\u4e00\u9053\u6545\u4e8b\u9898\u540e\uff0c\u8ba9\u5b69\u5b50\u753b\u51fa\u5706\u5708\u6216\u65b9\u6846\uff0c\u8868\u793a\u540c\u4e00\u4e2a\u6545\u4e8b\u3002<\/li>\n\n\n\n<li><strong>\u638c\u63e1\u7684\u8868\u73b0\uff1a<\/strong> \u5b69\u5b50\u80fd\u4e3a\u4e00\u9053\u7b80\u5355\u7684\u6545\u4e8b\u9898\u753b\u51fa\u56fe\uff0c\u5e76\u8bf4\u660e\u56fe\u548c\u95ee\u9898\u662f\u600e\u4e48\u5bf9\u5e94\u7684\u3002<\/li>\n\n\n\n<li><strong>\u5e38\u89c1\u8bef\u533a\uff1a<\/strong> \u56e0\u4e3a\u5b69\u5b50\u80fd\u5fc3\u7b97\u51fa\u7b54\u6848\uff0c\u5c31\u8df3\u8fc7\u753b\u56fe\u8fd9\u4e00\u6b65\u3002\u753b\u56fe\u6b63\u662f\u4e3a\u540e\u9762\u5b66\u7ebf\u6bb5\u56fe\u505a\u51c6\u5907\u7684\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"79-\u5c81\u7ebf\u6bb5\u56fe\u4ec0\u4e48\u65f6\u5019\u5f00\u59cb\">7\u20139 \u5c81\uff1a\u7ebf\u6bb5\u56fe\u4ec0\u4e48\u65f6\u5019\u5f00\u59cb\uff1f<\/h3>\n\n\n\n<p>7 \u5230 9 \u5c81\u7684\u5b69\u5b50\u4f1a\u8d8a\u6765\u8d8a\u591a\u5730\u4f7f\u7528\u7ebf\u6bb5\u56fe\u3002\u5173\u4e8e\u65b0\u52a0\u5761\u8bfe\u5802\u7684\u7814\u7a76\u63d0\u5230\uff0c\u5b69\u5b50\u5728\u5c0f\u5b66\u7b2c\u4e00\u5e74\u5c31\u4f1a\u7528\u6a21\u578b\u8868\u793a\u90e8\u5206\u4e0e\u6574\u4f53\u7684\u5173\u7cfb\uff0c\u4ece\u5c0f\u4e09\u8d77\u4f1a\u7528\u540c\u6837\u7684\u6a21\u578b\u65b9\u6cd5\u89e3\u4ee3\u6570\u5e94\u7528\u9898\uff08<a href=\"https:\/\/www.nctm.org\/uploadedFiles\/Conferences_and_Professional_Development\/Institutes\/Grades_3-8_Mathematical_Practices\/KelemanikHandouts.pdf\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Ng \u548c Lee\uff0c\u300a\u6570\u5b66\u6559\u80b2\u7814\u7a76\u6742\u5fd7\u300b2009 \u5e74\uff0c\u6458\u5f55<\/a>\uff09\u3002MOE \u5728 1983 \u5e74\u628a\u6a21\u578b\u65b9\u6cd5\u5f15\u5165\u5c0f\u5b66\u8bfe\u7a0b\uff08<a href=\"https:\/\/link.springer.com\/doi\/10.1007\/s11858-018-1000-y\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">ZDM \u7efc\u8ff0<\/a>\uff09<\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1aMaya \u6709 8 \u5f20\u8d34\u7eb8\uff0cLeo \u6709 5 \u5f20\uff0cMaya \u6bd4 Leo \u591a\u51e0\u5f20\uff1f\u5b69\u5b50\u753b\u4e24\u6761\u7ebf\u6bb5\uff0c\u4e00\u6761 8 \u4e2a\u5355\u4f4d\uff0c\u4e00\u6761 5 \u4e2a\u5355\u4f4d\uff0c\u5de6\u7aef\u5bf9\u9f50\u3002Maya \u90a3\u6761\u591a\u51fa\u6765\u7684\u90e8\u5206\u5c31\u662f\u7b54\u6848\uff0c\u6240\u4ee5 8 \u2212 5 = 3\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8bd5\u8bd5\u8fd9\u4e2a\uff1a<\/strong> \u6bcf\u5468\u8ba9\u5b69\u5b50\u5148\u4e3a\u4e09\u9053\u5e94\u7528\u9898\u753b\u7ebf\u6bb5\u56fe\uff0c\u518d\u53bb\u89e3\u9898\u3002<\/li>\n\n\n\n<li><strong>\u638c\u63e1\u7684\u8868\u73b0\uff1a<\/strong> \u5b69\u5b50\u80fd\u8bf4\u51fa\u6bcf\u6761\u7ebf\u6bb5\u4ee3\u8868\u4ec0\u4e48\uff0c\u4ee5\u53ca\u4e3a\u4ec0\u4e48\u8981\u7528\u8fd9\u4e2a\u8fd0\u7b97\u3002<\/li>\n\n\n\n<li><strong>\u5e38\u89c1\u8bef\u533a\uff1a<\/strong> \u628a\u7ebf\u6bb5\u56fe\u5f53\u4f5c\u53ef\u4ee5\u7167\u6284\u7684\u5c0f\u6280\u5de7\uff0c\u800c\u4e0d\u662f\u7528\u6765\u770b\u6e05\u9898\u76ee\u4e2d\u6570\u91cf\u5173\u7cfb\u7684\u65b9\u6cd5\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"911-\u5c81\u7ebf\u6bb5\u56fe\u600e\u4e48\u5904\u7406\u5206\u6570\u548c\u591a\u6b65\u9aa4\u9898\">9\u201311 \u5c81\uff1a\u7ebf\u6bb5\u56fe\u600e\u4e48\u5904\u7406\u5206\u6570\u548c\u591a\u6b65\u9aa4\u9898\uff1f<\/h3>\n\n\n\n<p>9 \u5230 11 \u5c81\u7684\u5b69\u5b50\u4f1a\u7528\u7ebf\u6bb5\u56fe\u5904\u7406\u5206\u6570\u548c\u591a\u6b65\u9aa4\u5e94\u7528\u9898\u3002\u5230\u4e86\u5c0f\u4e94\uff0cMOE \u7684\u5927\u7eb2\u4f1a\u5f15\u5165\u767e\u5206\u6570\u548c\u6bd4\u7387\uff0c\u5c0f\u516d\u518d\u5f15\u5165\u6bd4\uff1b\u5b83\u4eec\u90fd\u5efa\u7acb\u5728\u4e4b\u524d\u5b66\u8fc7\u7684\u5206\u6570\u57fa\u7840\u4e0a\u3002<\/p>\n\n\n\n<p>\u4f8b\u5b50\uff1aSam \u7684\u5361\u7247\u6570\u662f Ria \u7684 3 \u500d\uff0c\u4e24\u4eba\u4e00\u5171\u6709 32 \u5f20\u3002Ria \u7684\u7ebf\u6bb5\u662f 1 \u4e2a\u5355\u4f4d\uff0cSam \u7684\u7ebf\u6bb5\u662f 3 \u4e2a\u5355\u4f4d\uff0c\u603b\u5171\u662f 4 \u4e2a\u5355\u4f4d\u30024 \u4e2a\u5355\u4f4d\u7b49\u4e8e 32\uff0c\u6240\u4ee5 1 \u4e2a\u5355\u4f4d\u662f 8\uff0cSam \u6709 3 \u00d7 8 = 24 \u5f20\u5361\u7247\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8bd5\u8bd5\u8fd9\u4e2a\uff1a<\/strong> \u8ba9\u5b69\u5b50\u5148\u7528\u7ebf\u6bb5\u56fe\u89e3\u4e00\u9053\u9898\uff0c\u518d\u628a\u540c\u6837\u7684\u89e3\u6cd5\u5199\u6210\u7b97\u5f0f\u3002<\/li>\n\n\n\n<li><strong>\u638c\u63e1\u7684\u8868\u73b0\uff1a<\/strong> \u5b69\u5b50\u4e0d\u9700\u8981\u5e2e\u52a9\uff0c\u5c31\u80fd\u5728\u7ebf\u6bb5\u56fe\u548c\u7b97\u5f0f\u4e4b\u95f4\u6765\u56de\u8f6c\u6362\u3002<\/li>\n\n\n\n<li><strong>\u5e38\u89c1\u8bef\u533a\uff1a<\/strong> \u7ebf\u6bb5\u56fe\u753b\u5f97\u592a\u7ec6\uff0c\u53cd\u800c\u62d6\u6162\u4e86\u5b69\u5b50\u3002\u76ee\u6807\u662f\u968f\u7740\u65f6\u95f4\u63a8\u79fb\uff0c\u5b69\u5b50\u5bf9\u56fe\u7684\u4f9d\u8d56\u8d8a\u6765\u8d8a\u5c11\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"1112-\u5c81\u4ee3\u6570\u5e26\u6765\u4e86\u4ec0\u4e48\u53d8\u5316\">11\u201312 \u5c81\uff1a\u4ee3\u6570\u5e26\u6765\u4e86\u4ec0\u4e48\u53d8\u5316\uff1f<\/h3>\n\n\n\n<p>11 \u5230 12 \u5c81\u7684\u5b69\u5b50\u9010\u6e10\u8d70\u5411\u201c\u62bd\u8c61\u201d\u8fd9\u4e00\u6b65\u3002\u5230\u4e86\u5c0f\u516d\uff0cMOE \u7684\u5927\u7eb2\u4f1a\u5f15\u5165\u6bd4\u3001\u4ee3\u6570\u548c\u5706\uff0c\u5e76\u5ef6\u4f38\u4e4b\u524d\u5b66\u8fc7\u7684\u5206\u6570\u3001\u767e\u5206\u6570\u7b49\u5185\u5bb9\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8bd5\u8bd5\u8fd9\u4e2a\uff1a<\/strong> \u62ff\u4e00\u9053\u5b69\u5b50\u5df2\u7ecf\u7528\u7ebf\u6bb5\u56fe\u89e3\u8fc7\u7684\u9898\uff0c\u7528\u5b57\u6bcd\u8868\u793a\u672a\u77e5\u6570\u91cd\u65b0\u5199\u4e00\u904d\u3002<\/li>\n\n\n\n<li><strong>\u638c\u63e1\u7684\u8868\u73b0\uff1a<\/strong> \u5b69\u5b50\u80fd\u628a\u7ebf\u6bb5\u56fe\u548c\u5e26\u5b57\u6bcd\u7684\u65b9\u7a0b\u8054\u7cfb\u8d77\u6765\uff0c\u5e76\u68c0\u67e5\u7b54\u6848\u3002<\/li>\n\n\n\n<li><strong>\u5e38\u89c1\u8bef\u533a\uff1a<\/strong> \u9898\u76ee\u4e00\u96be\u5c31\u5b8c\u5168\u4e0d\u753b\u56fe\u3002\u56de\u5230\u201c\u56fe\u50cf\u201d\u8fd9\u4e00\u6b65\uff0c\u5f80\u5f80\u662f\u6700\u5feb\u7684\u524d\u8fdb\u65b9\u5f0f\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u600e\u4e48\u5224\u65ad\u5b69\u5b50\u662f\u5426\u53ef\u4ee5\u8fdb\u5165\u4e0b\u4e00\u9636\u6bb5\"><span class=\"ez-toc-section\" id=\"%e6%80%8e%e4%b9%88%e5%88%a4%e6%96%ad%e5%ad%a9%e5%ad%90%e6%98%af%e5%90%a6%e5%8f%af%e4%bb%a5%e8%bf%9b%e5%85%a5%e4%b8%8b%e4%b8%80%e9%98%b6%e6%ae%b5%ef%bc%9f\"><\/span>\u600e\u4e48\u5224\u65ad\u5b69\u5b50\u662f\u5426\u53ef\u4ee5\u8fdb\u5165\u4e0b\u4e00\u9636\u6bb5\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5f53\u5b69\u5b50\u901a\u8fc7\u4e09\u9879\u68c0\u67e5\uff1a\u8bb2\u4e00\u8bb2\uff08Explain\uff09\u3001\u753b\u4e00\u753b\uff08Draw\uff09\u3001\u7528\u4e00\u7528\uff08Transfer\uff09\uff0c\u5c31\u53ef\u4ee5\u8fdb\u5165\u4e0b\u4e00\u9636\u6bb5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th>\u68c0\u67e5\u9879<\/th><th>\u53ef\u4ee5\u8fd9\u6837\u95ee<\/th><th>\u597d\u7684\u56de\u7b54\u662f\u4ec0\u4e48\u6837<\/th><\/tr><tr><td>\u8bb2\u4e00\u8bb2<\/td><td>\u201c\u4f60\u662f\u600e\u4e48\u7b97\u51fa\u6765\u7684\uff1f\u201d<\/td><td>\u5b69\u5b50\u7528\u81ea\u5df1\u7684\u8bdd\u8bb2\u6e05\u695a\u60f3\u6cd5\uff0c\u800c\u4e0d\u662f\u53ea\u590d\u8ff0\u6b65\u9aa4\u3002<\/td><\/tr><tr><td>\u753b\u4e00\u753b<\/td><td>\u201c\u80fd\u7528\u56fe\u6216\u7ebf\u6bb5\u56fe\u8868\u793a\u51fa\u6765\u5417\uff1f\u201d<\/td><td>\u753b\u51fa\u6765\u7684\u56fe\u4e0e\u9898\u76ee\u543b\u5408\uff0c\u5e76\u80fd\u7531\u6b64\u9009\u51fa\u6b63\u786e\u7684\u8fd0\u7b97\u3002<\/td><\/tr><tr><td>\u7528\u4e00\u7528<\/td><td>\u201c\u5982\u679c\u6570\u5b57\u6216\u6545\u4e8b\u53d8\u4e86\u5462\uff1f\u201d<\/td><td>\u5b69\u5b50\u80fd\u628a\u540c\u6837\u7684\u60f3\u6cd5\u7528\u5230\u65b0\u9898\u4e0a\u3002<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u4f5c\u4e3a\u4e00\u4e2a\u7ecf\u9a8c\u6cd5\u5219\uff1a\u4e09\u9879\u4e2d\u81f3\u5c11\u6709\u4e24\u9879\u5f88\u7a33\uff0c\u4e14\u6ca1\u6709\u4e00\u9879\u660e\u663e\u8584\u5f31\u65f6\uff0c\u5c31\u53ef\u4ee5\u5f80\u524d\u8d70\u3002\u5982\u679c\u53ea\u6709\u4e00\u9879\u505a\u5f97\u597d\uff0c\u5c31\u5148\u505c\u5728\u5f53\u524d\u9636\u6bb5\uff0c\u7528\u65b0\u9898\u518d\u5de9\u56fa\u4e00\u904d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5b69\u5b50\u843d\u540e\u6216\u8d85\u524d\u600e\u4e48\u529e\"><span class=\"ez-toc-section\" id=\"%e5%ad%a9%e5%ad%90%e8%90%bd%e5%90%8e%e6%88%96%e8%b6%85%e5%89%8d%e6%80%8e%e4%b9%88%e5%8a%9e%ef%bc%9f\"><\/span>\u5b69\u5b50\u843d\u540e\u6216\u8d85\u524d\u600e\u4e48\u529e\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5b69\u5b50\u843d\u540e\u4e86\u600e\u4e48\u529e\">\u5b69\u5b50\u843d\u540e\u4e86\u600e\u4e48\u529e\uff1f<\/h3>\n\n\n\n<p>\u5982\u679c\u5b69\u5b50\u843d\u540e\u4e86\uff0c\u5c31\u9488\u5bf9\u5b69\u5b50\u89c9\u5f97\u56f0\u96be\u7684\u90a3\u4e2a\u5177\u4f53\u5185\u5bb9\uff0c\u56de\u5230\u201c\u56fe\u50cf\u201d\u8fd9\u4e00\u6b65\uff0c\u800c\u4e0d\u662f\u589e\u52a0\u66f4\u591a\u7ec3\u4e60\u3002\u8ba9\u6bcf\u6b21\u5b66\u4e60\u65f6\u95f4\u77ed\u4e00\u4e9b\uff0c\u8bf7\u5b69\u5b50\u89e3\u91ca\u6bcf\u4e00\u6b65\uff1b\u5982\u679c\u753b\u56fe\u8fd8\u662f\u4e0d\u660e\u767d\uff0c\u5c31\u5148\u56de\u5230\u5b9e\u7269\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5b69\u5b50\u8d85\u524d\u4e86\u600e\u4e48\u529e\">\u5b69\u5b50\u8d85\u524d\u4e86\u600e\u4e48\u529e\uff1f<\/h3>\n\n\n\n<p>\u5982\u679c\u5b69\u5b50\u8d85\u524d\u4e86\uff0c\u5c31\u5728\u540c\u4e00\u4e2a\u5185\u5bb9\u91cc\u5f80\u6df1\u5904\u8d70\uff0c\u800c\u4e0d\u662f\u8df3\u8fc7\u6b65\u9aa4\u3002\u53ef\u4ee5\u8ba9\u5b69\u5b50\u518d\u60f3\u4e00\u79cd\u89e3\u6cd5\uff0c\u8ba9\u5b69\u5b50\u7ed9\u4f60\u7f16\u4e00\u9053\u5e94\u7528\u9898\uff0c\u6216\u8005\u8bd5\u540c\u4e00\u4e2a\u60f3\u6cd5\u7684\u591a\u6b65\u9aa4\u7248\u672c\u3002\u8fd9\u548c\u65b0\u52a0\u5761\u5927\u7eb2\u9010\u7ea7\u5ef6\u4f38\u540c\u4e00\u5185\u5bb9\u7684\u65b9\u5f0f\u662f\u4e00\u81f4\u7684\uff1a\u6bd4\u5982\u5206\u6570\u4ece\u5c0f\u4e8c\u5f00\u59cb\uff0c\u4e00\u76f4\u5ef6\u4f38\u5230\u5c0f\u516d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ec0\u4e48\u65f6\u5019\u9700\u8981\u8001\u5e08\u6216\u8f85\u5bfc\u7684\u5e2e\u52a9\"><span class=\"ez-toc-section\" id=\"%e4%bb%80%e4%b9%88%e6%97%b6%e5%80%99%e9%9c%80%e8%a6%81%e8%80%81%e5%b8%88%e6%88%96%e8%be%85%e5%af%bc%e7%9a%84%e5%b8%ae%e5%8a%a9%ef%bc%9f\"><\/span>\u4ec0\u4e48\u65f6\u5019\u9700\u8981\u8001\u5e08\u6216\u8f85\u5bfc\u7684\u5e2e\u52a9\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u51fa\u73b0\u4e0b\u9762\u8fd9\u4e9b\u60c5\u51b5\uff0c\u53ef\u4ee5\u8003\u8651\u627e\u8001\u5e08\u6216\u8f85\u5bfc\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5b69\u5b50\u80fd\u7167\u7740\u4f8b\u5b50\u753b\u7ebf\u6bb5\u56fe\uff0c\u4f46\u9047\u5230\u65b0\u9898\u5c31\u753b\u4e0d\u51fa\u6765\u3002<\/li>\n\n\n\n<li>\u5b69\u5b50\u5728\u5206\u6570\u3001\u4e58\u6cd5\u7b49\u6838\u5fc3\u5185\u5bb9\u4e0a\uff0c\u8fde\u7eed\u51e0\u5468\u53cd\u590d\u72af\u540c\u6837\u7684\u9519\u8bef\u3002<\/li>\n\n\n\n<li>\u6570\u5b66\u5b66\u4e60\u5e38\u5e38\u4ee5\u6cae\u4e27\u6216\u56de\u907f\u6536\u573a\u3002<\/li>\n\n\n\n<li>\u5bb6\u957f\u4e0d\u786e\u5b9a\u8be5\u600e\u4e48\u89e3\u91ca CPA \u7684\u5404\u4e2a\u6b65\u9aa4\u3002<\/li>\n\n\n\n<li>\u5b69\u5b50\u57fa\u7840\u624e\u5b9e\uff0c\u5bb6\u5ead\u5e0c\u671b\u4e3a\u6570\u5b66\u7ade\u8d5b\u6253\u57fa\u7840\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u609f\u7a7a\u7684\u65b0\u52a0\u5761\u6570\u5b66\u8bfe\u600e\u4e48\u652f\u6301\u5404\u4e2a\u5e74\u9f84\u6bb5\"><span class=\"ez-toc-section\" id=\"%e6%82%9f%e7%a9%ba%e7%9a%84%e6%96%b0%e5%8a%a0%e5%9d%a1%e6%95%b0%e5%ad%a6%e8%af%be%e6%80%8e%e4%b9%88%e6%94%af%e6%8c%81%e5%90%84%e4%b8%aa%e5%b9%b4%e9%be%84%e6%ae%b5%ef%bc%9f\"><\/span>\u609f\u7a7a\u7684\u65b0\u52a0\u5761\u6570\u5b66\u8bfe\u600e\u4e48\u652f\u6301\u5404\u4e2a\u5e74\u9f84\u6bb5\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u609f\u7a7a\u7684<a href=\"https:\/\/www.wukongsch.com\/zh\/learn-math\/singapore-math\/\">\u65b0\u52a0\u5761\u6570\u5b66\u8bfe<\/a>\u4ee5 CPA \u6559\u5b66\u6cd5\u4e3a\u57fa\u7840\uff0c\u5e26\u9886\u5b69\u5b50\u4ece\u5177\u8c61\u7684\u6982\u5ff5\u8d70\u5230\u56fe\u5f62\uff0c\u518d\u8d70\u5411\u62bd\u8c61\u63a8\u7406\uff0c\u9898\u76ee\u4e0e\u65e5\u5e38\u751f\u6d3b\u76f8\u8054\u7cfb\u3002\u8bfe\u7a0b\u91c7\u7528\u5c0f\u73ed\u6559\u5b66\u5e76\u914d\u6709 1 \u5bf9 1 \u7684\u8ddf\u8fdb\uff0c\u96be\u5ea6\u8bbe\u7f6e\u5728\u5bb9\u6613\u4e0a\u624b\u7684\u201c\u6d45\u5965\u201d\u6c34\u5e73\uff0c\u8ba9\u5927\u591a\u6570\u5b69\u5b50\u90fd\u80fd\u8ddf\u4e0a\uff0c\u540c\u65f6\u7ed9\u80fd\u529b\u66f4\u5f3a\u7684\u5b66\u751f\u7559\u51fa\u63d0\u5347\u7a7a\u95f4 \u3002<\/p>\n\n\n\n<p>\u5bf9\u5e0c\u671b\u8d70\u7ade\u8d5b\u8def\u7ebf\u7684\u5bb6\u5ead\uff0c\u8bfe\u7a0b\u53ef\u4ee5\u8854\u63a5<a href=\"https:\/\/www.wukongsch.com\/zh\/learn-math\/math-kangaroo\/\">\u888b\u9f20\u6570\u5b66<\/a>\uff08Kangaroo Math\uff09\u548c <a href=\"https:\/\/www.wukongsch.com\/zh\/learn-math\/amc-8\/\">AMC 8<\/a>\uff0c\u609f\u7a7a\u8fd8\u63d0\u4f9b\u7ade\u8d5b\u89c4\u5212\u670d\u52a1\uff0c\u5305\u62ec\u6839\u636e\u5b66\u751f\u6c34\u5e73\u5b9a\u5236\u53c2\u8d5b\u8def\u5f84\u3002\u5b66\u751f\u8fd8\u4f1a\u6536\u5230\u5b66\u60c5\u62a5\u544a\uff0c\u5bb6\u957f\u53ef\u4ee5\u770b\u5230\u5b69\u5b50\u7684\u8fdb\u6b65 \u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full has-lightbox\"><a href=\"https:\/\/www.wukongsch.com\/zh\/learn-math\/singapore-math\/\"><img decoding=\"async\" width=\"792\" height=\"449\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/02\/singapore-math.png\" alt=\"singapore math\" class=\"wp-image-66290\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/02\/singapore-math.png 792w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/02\/singapore-math-300x170.png 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/02\/singapore-math-768x435.png 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/02\/singapore-math-320x180.png 320w\" sizes=\"(max-width: 792px) 100vw, 792px\" \/><\/a><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u5e38\u89c1\u95ee\u9898\"><span class=\"ez-toc-section\" id=\"%e5%b8%b8%e8%a7%81%e9%97%ae%e9%a2%98\"><\/span>\u5e38\u89c1\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5b69\u5b50\u5e94\u8be5\u51e0\u5c81\u5f00\u59cb\u5b66\u65b0\u52a0\u5761\u6570\u5b66\">\u5b69\u5b50\u5e94\u8be5\u51e0\u5c81\u5f00\u59cb\u5b66\u65b0\u52a0\u5761\u6570\u5b66\uff1f<\/h3>\n\n\n\n<p>\u5927\u591a\u6570\u5b69\u5b50\u5728 6 \u5230 7 \u5c81\u5de6\u53f3\u5f00\u59cb\u5b66\u5c0f\u5b66\u9636\u6bb5\u7684\u65b9\u6cd5\uff0c\u66f4\u5c0f\u7684\u5b69\u5b50\u53ef\u4ee5\u4ece\u4ee5\u52a8\u624b\u6e38\u620f\u4e3a\u57fa\u7840\u7684\u5b66\u524d\u7248\u672c\u5f00\u59cb\u3002\u5408\u9002\u7684\u8d77\u70b9\u53d6\u51b3\u4e8e\u5b69\u5b50\u662f\u5426\u51c6\u5907\u597d\uff1a\u80fd\u51c6\u786e\u6570\u6570\u3001\u6bd4\u8f83\u4e24\u7ec4\u4e1c\u897f\uff0c\u5e76\u8bf4\u51fa\u81ea\u5df1\u505a\u4e86\u4ec0\u4e48\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u65b0\u52a0\u5761\u6570\u5b66\u9002\u5408\u5b66\u9f84\u524d\u7684\u5b69\u5b50\u5417\">\u65b0\u52a0\u5761\u6570\u5b66\u9002\u5408\u5b66\u9f84\u524d\u7684\u5b69\u5b50\u5417\uff1f<\/h3>\n\n\n\n<p>\u5b66\u9f84\u524d\u7684\u5b69\u5b50\u53ef\u4ee5\u4ece\u65b0\u52a0\u5761\u6570\u5b66\u201c\u5177\u8c61\u3001\u52a8\u624b\u201d\u7684\u90e8\u5206\u4e2d\u53d7\u76ca\uff0c\u6bd4\u5982\u6570\u6570\u3001\u5206\u7c7b\u548c\u6bd4\u8f83\u7269\u54c1\u3002\u5b66\u524d\u7248\u672c\u662f\u6539\u7f16\u7684\uff0c\u5e76\u4e0d\u5c5e\u4e8e\u65b0\u52a0\u5761\u7684\u5c0f\u5b66\u5927\u7eb2\uff0c\u6240\u4ee5\u77ed\u65f6\u95f4\u3001\u6709\u8da3\u7684\u6d3b\u52a8\uff0c\u6bd4\u505a\u7ec3\u4e60\u518c\u66f4\u5408\u9002\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5b69\u5b50\u5e94\u8be5\u6bd4\u5e74\u7ea7\u4f4e\u4e00\u7ea7\u5f00\u59cb\u5417\">\u5b69\u5b50\u5e94\u8be5\u6bd4\u5e74\u7ea7\u4f4e\u4e00\u7ea7\u5f00\u59cb\u5417\uff1f<\/h3>\n\n\n\n<p>\u5b69\u5b50\u4e0d\u9700\u8981\u7279\u610f\u4f4e\u4e00\u7ea7\u6216\u9ad8\u4e00\u7ea7\u5f00\u59cb\u3002\u6700\u597d\u7684\u8d77\u70b9\uff0c\u662f\u5b69\u5b50\u80fd\u628a\u6982\u5ff5\u8bb2\u6e05\u695a\u3001\u753b\u51fa\u6765\u7684\u90a3\u4e00\u7ea7\uff0c\u4e00\u6b21\u7b80\u77ed\u7684\u6478\u5e95\u52a0\u4e00\u6b21\u804a\u5929\u5c31\u80fd\u770b\u51fa\u6765\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u9700\u8981\u505a\u6478\u5e95\u6d4b\u8bd5\u5417\">\u9700\u8981\u505a\u6478\u5e95\u6d4b\u8bd5\u5417\uff1f<\/h3>\n\n\n\n<p>\u6478\u5e95\u662f\u6709\u5e2e\u52a9\u7684\uff0c\u56e0\u4e3a\u6559\u6750\u7684\u7ea7\u522b\u7f16\u53f7\u548c\u7f8e\u56fd\u5e74\u7ea7\u5e76\u4e0d\u5bf9\u5e94\u3002\u5b83\u4e0d\u9700\u8981\u5f88\u6b63\u5f0f\uff1a\u8ba9\u5b69\u5b50\u505a\u51e0\u9053\u9898\uff0c\u8bb2\u8bb2\u81ea\u5df1\u7684\u601d\u8def\uff0c\u518d\u4e3a\u5176\u4e2d\u4e00\u9053\u753b\u4e00\u5f20\u56fe\u5c31\u53ef\u4ee5\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u65b0\u52a0\u5761\u6570\u5b66\u548c\u7f8e\u56fd\u6309\u5e74\u7ea7\u5b66\u7684\u6570\u5b66\u662f\u4e00\u56de\u4e8b\u5417\">\u65b0\u52a0\u5761\u6570\u5b66\u548c\u7f8e\u56fd\u6309\u5e74\u7ea7\u5b66\u7684\u6570\u5b66\u662f\u4e00\u56de\u4e8b\u5417\uff1f<\/h3>\n\n\n\n<p>\u4e0d\u662f\u3002\u65b0\u52a0\u5761\u6570\u5b66\u9075\u5faa\u65b0\u52a0\u5761\u81ea\u5df1\u7684\u5927\u7eb2\uff0c\u5b83\u7684\u7f16\u6392\u65b9\u5f0f\u548c\u7f8e\u56fd\u7684\u5e74\u7ea7\u6807\u51c6\u4e0d\u540c\u3002\u6709\u4e9b\u5185\u5bb9\u51fa\u73b0\u7684\u5e74\u9f84\u4e0d\u540c\uff0c\u800c\u4e14 CPA \u65b9\u6cd5\u548c\u7ebf\u6bb5\u56fe\u5728\u65b0\u52a0\u5761\u6570\u5b66\u4e2d\u66f4\u6838\u5fc3\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5927\u4e00\u70b9\u7684\u5b69\u5b50\u53ef\u4ee5\u5f00\u59cb\u5b66\u65b0\u52a0\u5761\u6570\u5b66\u5417\">\u5927\u4e00\u70b9\u7684\u5b69\u5b50\u53ef\u4ee5\u5f00\u59cb\u5b66\u65b0\u52a0\u5761\u6570\u5b66\u5417\uff1f<\/h3>\n\n\n\n<p>\u53ef\u4ee5\u3002\u901a\u5e38\u7684\u505a\u6cd5\u662f\u5148\u56de\u5230\u8f83\u4f4e\u7684\u7ea7\u522b\uff0c\u628a\u5177\u8c61\u548c\u56fe\u50cf\u7684\u57fa\u7840\u8865\u624e\u5b9e\u3002\u7b49\u5b69\u5b50\u80fd\u628a\u6982\u5ff5\u8bb2\u6e05\u695a\u3001\u753b\u51fa\u6765\u4e4b\u540e\uff0c\u8fdb\u5ea6\u5f80\u5f80\u4f1a\u660e\u663e\u52a0\u5feb\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u603b\u7ed3\"><span class=\"ez-toc-section\" id=\"%e6%80%bb%e7%bb%93\"><\/span>\u603b\u7ed3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u65b0\u52a0\u5761\u6570\u5b66\u662f\u4e3a 6 \u5230 12 \u5c81\u7684\u5b69\u5b50\u8bbe\u8ba1\u7684\uff0c\u66f4\u5c0f\u7684\u5b69\u5b50\u6709\u5b66\u524d\u6539\u7f16\u7248\uff0c\u5b69\u5b50\u662f\u5426\u51c6\u5907\u597d\uff0c\u6bd4\u5e74\u9f84\u66f4\u80fd\u8bf4\u660e\u95ee\u9898\u3002\u5b69\u5b50\u6309\u5404\u81ea\u7684\u8282\u594f\u8d70\u8fc7\u201c\u5177\u8c61\u3001\u56fe\u50cf\u3001\u62bd\u8c61\u201d\u51e0\u6b65\uff0c\u201c\u8bb2\u4e00\u8bb2\u3001\u753b\u4e00\u753b\u3001\u7528\u4e00\u7528\u201d\u4e09\u9879\u68c0\u67e5\u80fd\u8bf4\u660e\u5b69\u5b50\u4ec0\u4e48\u65f6\u5019\u53ef\u4ee5\u5f80\u524d\u8d70\u3002\u9700\u8981\u66f4\u591a\u652f\u6301\u7684\u5b69\u5b50\u53ef\u4ee5\u56de\u5230\u4e0a\u4e00\u6b65\uff0c\u8d85\u524d\u7684\u5b69\u5b50\u53ef\u4ee5\u5f80\u6df1\u5904\u8d70\uff0c\u800c\u4e0d\u662f\u8df3\u7740\u5b66\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u5f15\u7528\u6765\u6e90\">\u5f15\u7528\u6765\u6e90<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.moe.gov.sg\/primary\/p1-registration\" target=\"_blank\" rel=\"noreferrer noopener\">\u65b0\u52a0\u5761 MOE\uff1a\u5c0f\u4e00\u6ce8\u518c<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/chuachukangpri.moe.edu.sg\/files\/2021_Primary_Mathematics_Syllabus_P1_to_P6.pdf\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">\u65b0\u52a0\u5761 MOE\uff1a2021 \u5c0f\u5b66\u6570\u5b66\u5927\u7eb2\uff082023 \u5e74 12 \u6708\u66f4\u65b0\uff09<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/nces.ed.gov\/programs\/statereform\/tab5_3.asp\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">NCES\uff1a\u5404\u5dde\u5e7c\u513f\u56ed\u5165\u5b66\u8981\u6c42<\/a>\u548c <a href=\"https:\/\/www.ecs.org\/clearinghouse\/73\/67\/7367.pdf\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">ECS\uff1a\u5165\u5b66\u5e74\u9f84\u8d8b\u52bf\u5206\u6790<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/link.springer.com\/doi\/10.1007\/s11858-018-1000-y\" target=\"_blank\" rel=\"noreferrer noopener\">Springer, ZDM\uff1a\u65b0\u52a0\u5761\u6a21\u578b\u65b9\u6cd5<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.nctm.org\/uploadedFiles\/Conferences_and_Professional_Development\/Institutes\/Grades_3-8_Mathematical_Practices\/KelemanikHandouts.pdf\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">NCTM \u6258\u7ba1\u7684 Ng \u548c Lee\uff082009\uff09\u6458\u5f55\uff0cJRME 40(3)<\/a><\/li>\n<\/ul>\n<div class=\"retention-card-new\" data-lang=\"zh\" data-subject=\"MATH\" data-btnName=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\" data-subTitle=\"\u9002\u5408\u5168\u7403K-12\u5e74\u7ea7\u5b66\u751f\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\">\r\n            <!-- TrustBox widget - Micro Star -->\r\n            <div class=\"trustpilot-widget\" data-locale=\"en-US\" data-template-id=\"5419b732fbfb950b10de65e5\" data-businessunit-id=\"60c847b7f033d300019ff3a1\" data-style-height=\"24px\" data-style-width=\"272px\" data-token=\"7dc9fdab-8926-4826-ad90-81ab38cc0953\">\r\n              <a href=\"https:\/\/www.trustpilot.com\/review\/wukongsch.com\" target=\"_blank\" rel=\"noopener\">Trustpilot<\/a>\r\n            <\/div>\r\n            <!-- End TrustBox widget -->\r\n        <\/div>\r\n        <h3><p>\u609f\u7a7a\u56fd\u9645\u6570\u5b66<br \/>\n<span>\u8ba9\u6570\u5b66\u4e4b\u5149\u7167\u4eae\u6bcf\u4e00\u4e2a\u5b69\u5b50\uff01<\/span><\/p>\n<\/h3>\r\n        <p>\u9002\u5408\u5168\u7403K-12\u5e74\u7ea7\u5b66\u751f<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/zh\/independent-appointment\/?subject=math&amp;l=c87d1e8c-ec8e-4a2a-83b7-84e0af53d81f&amp;booking_triggerevent=BLOG_DETAIL_MODEL_CTA_BUTTON\" data-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u70b9\u51fb\" data-event=\"C_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" data-expose-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u66dd\u5149\" data-expose-event=\"D_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" target=\"_blank\" title=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\">\r\n            \u7acb\u5373\u514d\u8d39\u8bd5\u542c\r\n        <\/a>\r\n    <\/div>\r\n    <div class=\"retention-card-r\"><\/div>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u65b0\u52a0\u5761\u6570\u5b66\u662f\u4e3a\u5c0f\u5b66\u9636\u6bb5\u8bbe\u8ba1\u7684\uff0c\u5927\u81f4\u5bf9\u5e94 6 \u5230 12 \u5c81\uff0c\u5f88\u591a\u51fa\u7248\u793e\u548c\u6559\u80b2\u673a\u6784\u4e5f\u4e3a\u66f4\u5c0f\u7684\u5b69\u5b50\u63a8\u51fa\u4e86\u5b66\u524d\u7248\u672c\u3002\u6ca1\u6709\u54ea\u4e2a\u8d77\u59cb\u5e74\u9f84\u9002\u5408\u6240\u6709\u5b69\u5b50\uff1a\u5b69\u5b50\u662f\u5426\u51c6\u5907\u597d\uff0c\u6bd4\u65e5\u5386\u5e74\u9f84\u66f4\u91cd\u8981\u3002\u5728\u65b0\u52a0\u5761\uff0c\u5b69\u5b50\u5728\u6ee1 7 \u5c81\u7684\u90a3\u4e00\u5e74\u5165\u8bfb\u5c0f\u4e00\uff08Primary 1\uff09\uff0c\u800c\u6559\u6750\u7684\u7ea7\u522b\u7f16\u53f7\u4e5f\u4e0d\u80fd\u76f4\u63a5\u5bf9\u5e94\u7f8e\u56fd\u7684\u5e74\u7ea7\u3002\u5f53\u5b69\u5b50\u80fd\u628a\u4e00\u4e2a\u6982\u5ff5\u8bb2\u6e05\u695a\u3001\u753b\u51fa\u6765\uff0c\u5e76\u7528\u5230\u65b0\u9898\u4e0a\u65f6\uff0c\u5c31\u53ef\u4ee5\u8fdb\u5165\u4e0b\u4e00\u9636\u6bb5\u3002\u672c\u6587\u4ecb\u7ecd\u6bcf\u4e2a\u5e74\u9f84\u6bb5\u8be5\u505a\u4ec0\u4e48\u3001\u600e\u4e48\u5224\u65ad\u5b69\u5b50\u662f\u5426\u53ef\u4ee5\u8fdb\u5165\u4e0b\u4e00\u9636\u6bb5\uff0c\u4ee5\u53ca\u4ec0\u4e48\u65f6\u5019\u9700\u8981\u989d\u5916\u7684\u5e2e\u52a9\u3002 \u65b0\u52a0\u5761\u6570\u5b66\u9002\u5408\u51e0\u5c81\uff1f \u65b0\u52a0\u5761\u6570\u5b66\u662f\u4e3a\u54ea\u4e2a\u9636\u6bb5\u7684\u5b69\u5b50\u8bbe\u8ba1\u7684\uff1f 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