论证数学推理

能够构建并理解多步数学论证；识别推理中的错误，并解释某种方法为什么成立或不成立。

Construct and follow multi-step mathematical arguments; identify errors in reasoning and explain why a method works or does not work

学习证据 / Evidence

• 分步解释为什么竖式加法能得到正确答案
• 找出并解释示例解题过程中的错误（例如进位或退位出错）
• 构建一个简单论证来说明一个一般性结论为什么成立（例如“两个偶数相加一定是偶数”）

• Explain step by step why a columnar addition method gives the correct answer
• Find and explain an error in a worked example (e.g. incorrect regrouping)
• Construct a simple argument for why a general statement is true (e.g. 'adding two even numbers always gives an even number')

评估问题 / Assessment

如果{{name}}听到另一个孩子讲解自己如何解决一道数学题，{{name}}能判断这个推理是否合理吗？如果不合理，能否准确指出逻辑在哪里出了问题？

If {{name}} hears another child's explanation for how they solved a maths problem, can {{name}} say whether the reasoning makes sense — and if not, point out exactly where the logic goes wrong?