构建数学论证

构建并呈现涉及多个步骤和形式推理的逻辑数学论证；评析他人关于分数、代数、比或几何的推理，并清楚地解释其中的错误或提出替代方法。

Construct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio, or geometry and clearly explain errors or alternative approaches

学习证据 / Evidence

• 通过按逻辑顺序串联角度事实，证明某个给定角一定是60°。
• 找出同学分数除法计算中的错误并解释原因。
• 构造一个反例来证明错误猜想不成立（例如“乘法总是使结果变大”）。

• Prove that a given angle must be 60° by chaining angle facts in a logical sequence
• Find and explain the error in a peer's fraction division calculation
• Construct a counter-example to disprove a false conjecture (e.g. 'multiplying always makes bigger')

评估问题 / Assessment

当 {{name}} 展示一个多步骤的数学解答时，他/她是否能把推理过程梳理得足够清楚，让其他人也能一步一步地理解；如果给出的解法中存在逻辑错误，他/她能否指出问题所在？

When {{name}} presents a multi-step maths solution, do they lay out their reasoning clearly enough that someone else could follow every step — and can they spot the flaw if a worked solution contains a logical error?