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由三上课本上的两道题想到小学一定要用形象思维

  • 2026-04-07 07:49:38
由三上课本上的两道题想到小学一定要用形象思维
今年上学期虽说时间长，但是我几乎没关注孩子的校内数学。考前匆匆翻了一下。拿出一道题让她给我讲一遍，出乎意料的是，她居然讲错了。所以，反思了一下。上学期这么长的时间没有好好利用起来，有一些小小的遗憾。
三下，要以课本为主，然后总结题型，重点突破下重难点，最后再考虑课外思维的东西。把校内知识放在首位。校外学习毕竟也是服务于校内学习的。
另外，有一个好消息。经过半年思维的训练，我明显觉察到妹妹的数学对难题的理解明显轻松多了。所以，可以证明，校外的思维训练是可以帮助到校内学习的。现在再去看校内知识点，她觉得既简单又轻松。 所以，下学期课外思维还要继续下去。接受今年的教训，课内课外要同时抓！
这道题如下：（2026人教新版P24）
【解析】
妹妹纠结的点：3个4厘米是减去几个5毫米？
连接，有交叉的问题。千万不要干想，太抽象了！所以，我直接上图，如下。小学数学能画图一定要画图！重要的事情说三遍！画图的标准：越简洁、越直观越好！
思维算式：4cm+(4cm-4*5mm)+4cm
这张图中，前后标出了两个完整的4cm，中间一段不够，就单独求：一个4cm减去4个5mm。
完整的列式如下：
4cm+(4cm-4*5mm)+4cm
=4cm+4cm+4cm-4*5mm
=12cm-20mm
=12cm-2cm
=10cm
我这个算式其实是一个思维的体现，所以我直接忽视了单位换算。我也喜欢在式子上直接写上单位，这样就方便知道这个数值的含义。
但是孩子们肯定不能直接这样写。验算纸可以效仿。思路一目了然，也不受单位换算之类的打扰。
记住，数学最重要的是思路。其它都不重要。
再看另一道类似的题，在课本同一页（2026人教新版P24）
【解析】妹妹和我争论方法1不好。她更喜欢第二种方法，简洁明了。
其实数学更推崇多种思路探讨，方法越多，说明脑子越灵敏。具体用哪种方法，我的建议是：好理解，好运用。没有最好，只有最适合自己的。老师的方法很好，你记不住，不理解又有何用？鼓励孩子们一题多解。
姐姐在北京海淀区上小学时候，她的数学老师特别喜欢一题多解。我记得有一道初一的数学题，她们用了不下7种方法。其中姐姐的几种方法，数学老师也是第一次听，孩子边讲，老师边点头。她给了孩子最大的鼓励——没有好坏，只有对错。
（图解1）
思路算式：(8dm-15cm)+15cm+(8dm-15cm)
(你看我写算式步骤一步也不少。从小学就要让孩子们养成完整步骤，第一不会因为跳步骤做错，第二思路一目了然。如果养成这个习惯，到了中学，你会感谢我的。我只是为了展示思路，校内不可以这样计算。数学老师可不愿意了。)
（图解2）
思路算式：8dm+(8dm-15cm)
8dm+(8dm-15cm)
=8dm+8dm-15cm 
（去小括号这一步尽量不要省，有些复杂计算，有些孩子一省就各种错）
=16dm-15cm
=160cm-15cm
=145cm
今天由此两道题，发现小学阶段一定要用形象思维。如果我早点带妹妹这样画图，我想哪怕隔上一段时间，她也不会忘记。数学不理解是真记不住。
还是那句话，小学数学，用最简洁、最直观的方式来展示思维过程，孩子们更好理解 ，也能记得住。
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  1. CONNECT:[ UseTime:0.001247s ] mysql:host=127.0.0.1;port=3306;dbname=c_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001807s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.005512s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.004175s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001512s ]
  6. SELECT * FROM `set` [ RunTime:0.016987s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001683s ]
  8. SELECT * FROM `article` WHERE `id` = 460015 LIMIT 1 [ RunTime:0.022407s ]
  9. UPDATE `article` SET `lasttime` = 1775619428 WHERE `id` = 460015 [ RunTime:0.023184s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000817s ]
  11. SELECT * FROM `article` WHERE `id` < 460015 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.001211s ]
  12. SELECT * FROM `article` WHERE `id` > 460015 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.017040s ]
  13. SELECT * FROM `article` WHERE `id` < 460015 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.008640s ]
  14. SELECT * FROM `article` WHERE `id` < 460015 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002438s ]
  15. SELECT * FROM `article` WHERE `id` < 460015 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.026540s ]
0.350703s