• 24年专注儿童学习能力训练;
  • 采用针对性的学习能力训练方案,并辅以家庭教育咨询心理素质辅导
  • 学校根据多年的教学研究经验对课程进行合理分级针对性地进行教学

400-060-0105

数学思维能力培养新路径:金色雨林数学思维课深度解析

数学思维能力培养新路径:金色雨林数学思维课深度解析

授课机构: 杭州金色雨林

上课地点: 校区地址

成交/评价:

联系电话: 400-060-0105

数学思维能力培养新路径:金色雨林数学思维课深度解析课程详情

数学思维能力:学习与成长的底层引擎

教育心理学研究表明,孩子能否高效解决数学问题,关键不在于记忆多少公式,而在于是否具备系统的思维方法。就像搭建房屋需要稳固的框架,数学学习同样需要思维能力作为底层支撑。这种能力不仅影响当前学科成绩,更决定未来面对复杂问题时的应变水平——从日常的生活决策到高阶的学术研究,思维质量往往是拉开差距的核心因素。

美国教育学家约翰·杜威曾指出:"教育的本质是思维习惯的培养"。当孩子学会用逻辑梳理信息、用批判验证结论、用创造突破常规时,数学学习将从"被动接受"转变为"主动探索"。这正是金色雨林数学思维课的核心目标——不是简单灌输知识,而是构建一套科学的思维操作系统。

三维度训练:构建完整思维能力图谱

区别于传统数学培训的"题型套路教学",金色雨林数学思维课建立在思维科学研究基础上,将训练拆解为三个关键维度:

逻辑性:信息处理的"精密仪器"

通过分类归纳、序列排列、因果推导等专项训练,帮助孩子建立"条件-结论"的清晰链路。例如在分数概念教学中,课程会引导孩子从"分蛋糕"的生活场景出发,逐步抽象出分子分母的逻辑关系,最终形成"部分与整体"的系统认知。

批判性:结论验证的"质检标准"

针对"盲目接受答案"的常见问题,课程设计了"假设-验证-修正"的思维闭环。如在解决"鸡兔同笼"问题时,教师会鼓励孩子提出不同假设(全是鸡/全是兔/混合情况),通过计算验证每种假设的合理性,最终自主得出正确解法,培养"不迷信权威,重证据推导"的思维习惯。

创造性:问题解决的"多元路径"

打破"唯一解"的思维定式,课程通过"一题多解"训练激发数学创造性。例如在计算"25×16"时,除了常规的竖式计算,孩子还会尝试分解为"25×4×4"或"25×(10+6)",甚至用图形面积法辅助理解,在对比中发现最优解,同时培养发散性思维。

课程体系:工具、知识与兴趣的协同培养

基于三维度训练框架,课程设计了五大核心模块,形成"工具掌握-知识巩固-兴趣激发"的完整链条:

模块一:风靡全球的思维工具——思维导图

课程引入被哈佛、牛津等世界名校广泛使用的思维导图工具,通过"中心主题-分支延伸-关键词标注"的可视化方式,帮助孩子梳理数学知识体系。例如在学习"多边形"单元时,孩子会用思维导图整理三角形、四边形、五边形的定义、性质及面积公式,不仅加深记忆,更能清晰看到知识间的关联。

模块二:年级知识的系统化巩固

针对校内数学学习痛点,课程同步梳理各年级核心知识点,通过"概念解析-例题示范-变式训练"的递进式设计,帮助孩子突破理解难点。如小学三年级"万以内加减法"模块,会重点强化进位/退位的逻辑规则,通过实物操作(小棒计数)、图形表征(数轴跳跃)、符号运算三重维度,确保孩子真正掌握运算本质。

模块三:多感官联动的兴趣激发

考虑到儿童认知特点,课程将数学知识与色彩、游戏、生活场景深度融合。例如"分数比较"教学中,通过"分披萨"的角色扮演游戏,让孩子用不同颜色的卡片代表不同分数,在实际操作中理解"同样大小的整体,分的份数越多,每份越小"的原理;在"时间计算"单元,则设计"周末日程表"任务,让孩子用数学知识规划自己的时间,感受"数学有用"的真实价值。

六大核心支撑:保障课程效果的关键基石

优质课程的落地离不开专业团队的支撑。金色雨林数学思维课之所以能持续25年保持教学效果,源于其构建的六大核心保障体系:

25年经验沉淀

自1998年开展学习能力研究以来,团队积累了超过10万份儿童思维发展案例,形成涵盖不同年龄段的训练数据库,确保课程设计贴合儿童认知发展规律。

多领域专家支持

由儿童教育、发展心理学、数学学科教学等领域的十余位专家组成顾问团,定期参与课程研发与教学指导。例如心理学专家会针对儿童注意力特点,优化课堂活动时长;数学教育专家则会把控知识点的梯度设计,确保符合认知逻辑。

严格师资筛选

教师需具备心理学、教育学或数学相关专业本科以上学历,通过包括教学设计、儿童心理评估、课堂管理等七大项目考核(不足30%),上岗前还需完成总部3个月的系统培训,确保教学理念与课程体系高度一致。

科学测评体系

课程效果经过中国科学院心理研究所等权威机构验证,通过前测-中测-后测的跟踪评估,精准定位孩子思维能力的提升轨迹。例如逻辑维度会通过"图形推理""数列规律"等任务评估,批判性维度则考察"假设验证"的完整性。

精品小班教学

采用8人小班制,教师能充分关注每个孩子的课堂表现。无论是思维导图的绘制指导,还是问题讨论中的思维引导,都能实现个性化反馈,避免大班教学中"部分孩子被忽略"的问题。

智能个性化方案

通过智能配课系统分析测评数据,为每个孩子生成"个性化教育方案(IEP)",明确训练重点与阶段性目标。例如逻辑维度较弱的孩子会增加分类归纳练习,创造性不足的孩子则会强化"一题多解"训练,真正实现"因材施教"。

用数据说话:96.8%的有效率意味着什么?

根据中国儿童卫生保健疾病防治指导中心的研究报告,金色雨林数学思维课的训练有效率达到96.8%。这里的"有效"不仅指数学成绩的提升,更包括:

  • 课堂主动发言次数提升40%以上(源于课堂观察记录)
  • 复杂问题解决时间缩短35%(通过标准化测试对比)
  • 数学学习兴趣指数提高28%(家长问卷反馈)

这些数据背后,是思维能力提升带来的综合改变——孩子不再是"等答案的学习者",而是"主动探索的思考者"。这种改变不仅能让他们在数学学习中更轻松,更能为未来的跨学科学习、复杂问题解决奠定坚实基础。

杭州金色雨林

杭州金色雨林
认证 7 年

成立: 2006年

认证 地址认证 教学保障 在线预约 到店体验 售后支持
基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-04-04 11:52:33 HTTP/1.1 GET : http://www.aabqu.com/s/2645/c/38287.html
  2. 运行时间 : 0.060255s [ 吞吐率:16.60req/s ] 内存消耗:392.85kb 文件加载:136
  3. 缓存信息 : 0 reads,0 writes
  1. /data/web/baijiao_branch_collect/public/index.php ( 0.79 KB )
  2. /data/web/baijiao_branch_collect/vendor/autoload.php ( 0.75 KB )
  3. /data/web/baijiao_branch_collect/vendor/composer/autoload_real.php ( 1.63 KB )
  4. /data/web/baijiao_branch_collect/vendor/composer/platform_check.php ( 0.90 KB )
  5. /data/web/baijiao_branch_collect/vendor/composer/ClassLoader.php ( 15.99 KB )
  6. /data/web/baijiao_branch_collect/vendor/composer/autoload_static.php ( 4.26 KB )
  7. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/helper.php ( 8.34 KB )
  8. /data/web/baijiao_branch_collect/vendor/topthink/think-validate/src/helper.php ( 2.19 KB )
  9. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/helper.php ( 1.47 KB )
  10. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/stubs/load_stubs.php ( 0.16 KB )
  11. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Exception.php ( 1.69 KB )
  12. /data/web/baijiao_branch_collect/vendor/topthink/think-container/src/Facade.php ( 2.71 KB )
  13. /data/web/baijiao_branch_collect/vendor/symfony/deprecation-contracts/function.php ( 0.99 KB )
  14. /data/web/baijiao_branch_collect/vendor/symfony/polyfill-mbstring/bootstrap.php ( 8.26 KB )
  15. /data/web/baijiao_branch_collect/vendor/symfony/polyfill-mbstring/bootstrap80.php ( 9.78 KB )
  16. /data/web/baijiao_branch_collect/vendor/symfony/var-dumper/Resources/functions/dump.php ( 1.49 KB )
  17. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/App.php ( 15.30 KB )
  18. /data/web/baijiao_branch_collect/vendor/topthink/think-container/src/Container.php ( 15.76 KB )
  19. /data/web/baijiao_branch_collect/vendor/psr/container/src/ContainerInterface.php ( 1.02 KB )
  20. /data/web/baijiao_branch_collect/app/provider.php ( 0.19 KB )
  21. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Http.php ( 6.04 KB )
  22. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/helper/Str.php ( 7.29 KB )
  23. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Env.php ( 4.68 KB )
  24. /data/web/baijiao_branch_collect/app/common.php ( 10.83 KB )
  25. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/helper.php ( 18.78 KB )
  26. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Config.php ( 5.54 KB )
  27. /data/web/baijiao_branch_collect/config/app.php ( 1.29 KB )
  28. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Env.php ( 1.67 KB )
  29. /data/web/baijiao_branch_collect/config/cache.php ( 1.22 KB )
  30. /data/web/baijiao_branch_collect/config/config.php ( 0.26 KB )
  31. /data/web/baijiao_branch_collect/config/console.php ( 0.29 KB )
  32. /data/web/baijiao_branch_collect/config/cookie.php ( 0.56 KB )
  33. /data/web/baijiao_branch_collect/config/database.php ( 2.29 KB )
  34. /data/web/baijiao_branch_collect/config/filesystem.php ( 0.63 KB )
  35. /data/web/baijiao_branch_collect/config/lang.php ( 0.81 KB )
  36. /data/web/baijiao_branch_collect/config/log.php ( 1.37 KB )
  37. /data/web/baijiao_branch_collect/config/middleware.php ( 0.19 KB )
  38. /data/web/baijiao_branch_collect/config/route.php ( 1.54 KB )
  39. /data/web/baijiao_branch_collect/config/session.php ( 0.57 KB )
  40. /data/web/baijiao_branch_collect/config/trace.php ( 0.34 KB )
  41. /data/web/baijiao_branch_collect/config/view.php ( 0.81 KB )
  42. /data/web/baijiao_branch_collect/app/event.php ( 0.25 KB )
  43. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Event.php ( 7.67 KB )
  44. /data/web/baijiao_branch_collect/app/service.php ( 0.13 KB )
  45. /data/web/baijiao_branch_collect/app/AppService.php ( 0.26 KB )
  46. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Service.php ( 1.64 KB )
  47. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Lang.php ( 7.35 KB )
  48. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/lang/zh-cn.php ( 13.70 KB )
  49. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/initializer/Error.php ( 3.31 KB )
  50. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/initializer/RegisterService.php ( 1.33 KB )
  51. /data/web/baijiao_branch_collect/vendor/services.php ( 0.14 KB )
  52. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/service/PaginatorService.php ( 1.52 KB )
  53. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/service/ValidateService.php ( 0.99 KB )
  54. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/service/ModelService.php ( 2.04 KB )
  55. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/Service.php ( 0.77 KB )
  56. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Middleware.php ( 6.72 KB )
  57. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/initializer/BootService.php ( 0.77 KB )
  58. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/Paginator.php ( 11.86 KB )
  59. /data/web/baijiao_branch_collect/vendor/topthink/think-validate/src/Validate.php ( 63.20 KB )
  60. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/Model.php ( 23.55 KB )
  61. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/Attribute.php ( 21.05 KB )
  62. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/AutoWriteData.php ( 4.20 KB )
  63. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/Conversion.php ( 6.75 KB )
  64. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/DbConnect.php ( 5.16 KB )
  65. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/ModelEvent.php ( 2.33 KB )
  66. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/concern/RelationShip.php ( 28.30 KB )
  67. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/contract/Arrayable.php ( 0.09 KB )
  68. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/contract/Jsonable.php ( 0.13 KB )
  69. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/model/contract/Modelable.php ( 0.09 KB )
  70. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Db.php ( 2.88 KB )
  71. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/DbManager.php ( 8.52 KB )
  72. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Log.php ( 6.28 KB )
  73. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Manager.php ( 3.92 KB )
  74. /data/web/baijiao_branch_collect/vendor/psr/log/src/LoggerTrait.php ( 2.69 KB )
  75. /data/web/baijiao_branch_collect/vendor/psr/log/src/LoggerInterface.php ( 2.71 KB )
  76. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Cache.php ( 4.92 KB )
  77. /data/web/baijiao_branch_collect/vendor/psr/simple-cache/src/CacheInterface.php ( 4.71 KB )
  78. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/helper/Arr.php ( 17.45 KB )
  79. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/cache/driver/Redis.php ( 6.94 KB )
  80. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/cache/Driver.php ( 9.03 KB )
  81. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/contract/CacheHandlerInterface.php ( 1.99 KB )
  82. /data/web/baijiao_branch_collect/app/Request.php ( 0.09 KB )
  83. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Request.php ( 55.78 KB )
  84. /data/web/baijiao_branch_collect/app/middleware.php ( 0.26 KB )
  85. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Pipeline.php ( 2.61 KB )
  86. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/TraceDebug.php ( 3.40 KB )
  87. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Route.php ( 23.73 KB )
  88. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/RuleName.php ( 5.75 KB )
  89. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Domain.php ( 2.53 KB )
  90. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/RuleGroup.php ( 22.43 KB )
  91. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Rule.php ( 26.95 KB )
  92. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/RuleItem.php ( 9.78 KB )
  93. /data/web/baijiao_branch_collect/route/app.php ( 3.05 KB )
  94. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Route.php ( 4.70 KB )
  95. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/dispatch/Controller.php ( 4.74 KB )
  96. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Dispatch.php ( 10.44 KB )
  97. /data/web/baijiao_branch_collect/app/controller/Index.php ( 33.26 KB )
  98. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Request.php ( 9.20 KB )
  99. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/route/Url.php ( 14.07 KB )
  100. /data/web/baijiao_branch_collect/app/model/IndexModel.php ( 19.95 KB )
  101. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Config.php ( 1.37 KB )
  102. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/facade/Cache.php ( 2.06 KB )
  103. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/facade/Db.php ( 0.93 KB )
  104. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/connector/Mysql.php ( 5.73 KB )
  105. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/PDOConnection.php ( 53.74 KB )
  106. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/Connection.php ( 8.39 KB )
  107. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/ConnectionInterface.php ( 4.57 KB )
  108. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/builder/Mysql.php ( 16.58 KB )
  109. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/Builder.php ( 24.07 KB )
  110. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/BaseBuilder.php ( 27.50 KB )
  111. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/Query.php ( 15.97 KB )
  112. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/BaseQuery.php ( 45.13 KB )
  113. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/TimeFieldQuery.php ( 7.43 KB )
  114. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/AggregateQuery.php ( 3.26 KB )
  115. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/ModelRelationQuery.php ( 20.07 KB )
  116. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/ParamsBind.php ( 3.66 KB )
  117. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/ResultOperation.php ( 7.01 KB )
  118. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/WhereQuery.php ( 19.37 KB )
  119. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/JoinAndViewQuery.php ( 7.11 KB )
  120. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/TableFieldInfo.php ( 2.63 KB )
  121. /data/web/baijiao_branch_collect/vendor/topthink/think-orm/src/db/concern/Transaction.php ( 2.77 KB )
  122. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/log/driver/File.php ( 5.96 KB )
  123. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/contract/LogHandlerInterface.php ( 0.86 KB )
  124. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/log/Channel.php ( 3.89 KB )
  125. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/event/LogRecord.php ( 1.02 KB )
  126. /data/web/baijiao_branch_collect/vendor/topthink/think-helper/src/Collection.php ( 16.47 KB )
  127. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Response.php ( 8.81 KB )
  128. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/response/View.php ( 3.29 KB )
  129. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/Cookie.php ( 6.06 KB )
  130. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/View.php ( 4.39 KB )
  131. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/view/driver/Php.php ( 6.44 KB )
  132. /data/web/baijiao_branch_collect/vendor/topthink/framework/src/think/contract/TemplateHandlerInterface.php ( 1.60 KB )
  133. /data/web/baijiao_branch_collect/view/index/pc/school_course_details.php ( 6.12 KB )
  134. /data/web/baijiao_branch_collect/view/index/pc/school_top.php ( 5.76 KB )
  135. /data/web/baijiao_branch_collect/view/index/pc/school_bottom.php ( 1.16 KB )
  136. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000293s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.000852s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '2645' AND `site_id` = 15 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000291s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000557s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 2645 [ RunTime:0.000233s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000599s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 2645 [ RunTime:0.000257s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000678s ]
  9. SELECT `a`.*,`content` FROM `fqi_school_course` `a` LEFT JOIN `fqi_school_course_content` `b` ON `b`.`content_id`=`a`.`content_id` WHERE `school_id` = 2645 AND `a`.`content_id` = '38287' AND `course_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.001735s ]
  10. (select content_id,course_name from fqi_school_course where school_id = '2645' and content_id < '38287' and site_id = '15' order by content_id desc limit 1) union all(select content_id,course_name from fqi_school_course where school_id = '2645' and content_id > '38287' and site_id <= '15' order by content_id asc limit 1) [ RunTime:0.000849s ]
  11. SELECT * FROM `fqi_school_course` WHERE `school_id` = 2645 AND `site_id` = 15 AND `course_status` = 1 AND `school_status` = 1 AND `school_class_id` = 10032 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000366s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 2645 AND `site_id` = 15 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 10 [ RunTime:0.000289s ]
  13. SELECT COUNT(*) AS think_count FROM `fqi_school_course` WHERE `school_id` = 2645 AND `course_status` = 1 [ RunTime:0.000205s ]
  14. SHOW FULL COLUMNS FROM `fqi_school_teacher` [ RunTime:0.000608s ]
  15. SELECT COUNT(*) AS think_count FROM `fqi_school_teacher` WHERE `school_id` = '2645' [ RunTime:0.000212s ]
  16. SHOW FULL COLUMNS FROM `fqi_school_comments` [ RunTime:0.000575s ]
  17. SELECT COUNT(*) AS think_count FROM `fqi_school_comments` WHERE `school_id` = '2645' [ RunTime:0.000177s ]
  18. SELECT `content_id`,`course_name`,`a`.`school_id`,`b`.`school_name` FROM `fqi_school_course` `a` LEFT JOIN `fqi_school` `b` ON `b`.`school_id`=`a`.`school_id` WHERE `a`.`site_id` = '15' AND `b`.`school_status` = '1' AND `course_status` = 1 AND `course_id` < '38287' ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.047238s ]
0.060559s