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【AI数学实验】喝果汁问题

【AI数学实验】喝果汁问题

01

题目呈现

人教版教材五年级下册第六单元“分数加减法”中安排了一个”喝果汁“的解决问题。

教学的重点在于让学生能够画图解决喝果汁问题,难点在于理解兑水喝时纯果汁所占的比例。

能否借助AI虚拟实验突破这一难点呢?

基于以往的制作经验,我没有直接开始制作,而是先搜索已有的作品。通过飞象老师上的搜索,确实找到了不少交互式课件,说明老师都觉得有开发交互式课件的必要性,不过都存在一些瑕疵。

分析1:例如播放量比较高的这个课件,虽然能直观呈现喝果汁的过程,但直接呈现了计算的过程,代替了学生的思考。这个html更多是展示答案。

分析2:还有下面这个交互式课件,虽然能够用一个界面显示所有的效果,但更多的是模拟了真实的效果,置于“如何引导学生得到1/2的1/2是多少?”这个关键上没有突破。

分析3:昨天看到团队中的技术高手林森老师也发布了一个,而且效果很不错,于是我马上找他要了html。

林老师的html有四个优点:

一是极简全屏,删除了信息、问题等无关内容。二是分步呈现,每次出现一个步骤,极简全屏。

三是动态分层,能够点击呈现混合、分层两种情况。

四是引导思考,在下方没有直接呈现喝掉的果汁,而是用问号引导学术观察后,点击出现答案(用于验证)。

这一个html很好的体现了“精准性”这一理念。

林老师还特地制作了使用说明,感兴趣的老师可以点击观看。

02

课件优化

基于上述的分析,我也有了自己的几点思考:

能否开发一个通用型的AI虚拟实验呢?

能否在学生思维的关键处停留,聚焦难点进行突破?

优化一:从“一题一助手”走向“多题一助手”

以上是我的2.0版的分步版,在林森的课件上增加了参数可调功能,这样这个AI虚拟实验就从针对例题的html,变成了通用型html。

这是2.0的同屏版,即在一个界面呈现所有的情况,也是优化了界面,增加了参数功能。

只要是这一类问题,都可以用这个html解决。

也可以说例题和习题一体化,既解决了例题的问题,又解决了不同习题的问题。

优化二:从“动态动画”走向“精准突破”

如何让学生直观理解“1/2的1/2是多少”呢?我尝试了多次效果,最终确定效果如下。

第一步,输入1/2分数,点击喝掉,按确认,并加满水,效果如下图。

第二步,加满水,继续点击喝掉1/2,效果如下,没有直接呈现结果,而是呈现平均分的效果。(这一步很关键,学生能够直观看出,喝掉的果汁为1/2的1/2,即1/4,喝掉的水也是1/4)

(通过交流讨论)教师可以再次点击确认,效果如下图。

第三步,在此基础上,可以喝完,也可以变式。喝掉1/3等,如下图。

虽然只是微小的一点调整,花费了好几个小时,但我还是觉得非常值得。

因为这个html更加符合教师的教学,能切实解决学生理解的难点。

03

课件演示

04

获取方式

第一步:百度打开飞象老师,输入赞哥教数学。

第二步:点击用户,关注。

第三步:打开首页作品,复制链接即可。

基本 文件 流程 错误 SQL 调试
  1. 请求信息 : 2026-05-30 14:20:47 HTTP/1.1 GET : https://www.yeyulingfeng.com/a/687323.html
  2. 运行时间 : 0.097149s [ 吞吐率:10.29req/s ] 内存消耗:4,807.70kb 文件加载:145
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=96c41654d20be0314ccb390cb4b4f543
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  1. CONNECT:[ UseTime:0.000566s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000759s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000332s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000286s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000539s ]
  6. SELECT * FROM `set` [ RunTime:0.000201s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000491s ]
  8. SELECT * FROM `article` WHERE `id` = 687323 LIMIT 1 [ RunTime:0.000420s ]
  9. UPDATE `article` SET `lasttime` = 1780122047 WHERE `id` = 687323 [ RunTime:0.003445s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000234s ]
  11. SELECT * FROM `article` WHERE `id` < 687323 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000413s ]
  12. SELECT * FROM `article` WHERE `id` > 687323 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000332s ]
  13. SELECT * FROM `article` WHERE `id` < 687323 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.002518s ]
  14. SELECT * FROM `article` WHERE `id` < 687323 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000883s ]
  15. SELECT * FROM `article` WHERE `id` < 687323 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.005445s ]
0.098890s