Mathematics
Mathematical Thinking
Meta
7–8 yrs
Justifying mathematical reasoning
论证数学推理
Description
Construct and follow multi-step mathematical arguments; identify errors in reasoning and explain why a method works or does not work
Mastery Evidence
- 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')
Assessment Prompt
If your child hears another child's explanation for how they solved a maths problem, can your child say whether the reasoning makes sense — and if not, point out exactly where the logic goes wrong?
Prerequisites 5
Describing Aloud
跨学科:构建和理解多步骤数学论证需要具备口头表达思想并进行有条理解释的能力
Teaching It Back
构建多步骤数学论证并识别推理中的错误,是普遍自我解释习惯在数学中的体现
Explaining Mathematical Reasoning
7至8岁阶段的论证与论证能力建立在6至7岁阶段的基础之上
Adding and subtracting (age 7+)
解释竖式计算方法有助于锻炼识别和论证步骤的能力
Addition and subtraction strategies (age 7+)
解释策略有效的原因有助于锻炼构建论证的能力