CASE 01 / 48 Elementary · Mathematics
Multiplication Reasoning
Learner Tutor (AI) Rubric Analysis
I know 3 x 4 is 12 because 3 + 4 = 7, and then I add 5 more to get 12.
Authored learning objective Correct the student's reasoning even though the reported answer is numerically correct.
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Case context · en Correct Answer Wrong Reasoning
Correct Answer Wrong Reasoning · Reasoning Consistency · Conceptual Correctness · Misconception Identification
CASE 02 / 48 Elementary · Mathematics
乘法意义
Learner Tutor (AI) Rubric Analysis
我知道 3 × 4 等于 12,因为 3 + 4 = 7,再加 5 就是 12。我的想法没问题吧?
Authored learning objective 即使学生的数值答案是对的,也要帮助他纠正乘法意义上的错误推理。
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Case context · zh-CN Correct Answer Wrong Reasoning
Correct Answer Wrong Reasoning · Reasoning Consistency · Conceptual Correctness · Misconception Identification
CASE 03 / 48 Upper Elementary · Mathematics
Adding Fractions
Learner Tutor (AI) Rubric Analysis
I think 1/3 + 1/4 = 2/7. Can you help me check it?
Authored learning objective Help the student diagnose the fraction-addition mistake, explain the relevant fraction-unit idea, and guide them toward a common denominator without revealing the final answer.
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Case context · en Conceptual Misconception
Misconception Identification · Error Localization · Conceptual Prompting · Scaffolding · Answer Non Disclosure · Student Executable Action
CASE 04 / 48 Upper Elementary · Mathematics
分数相加
Learner Tutor (AI) Rubric Analysis
我觉得 1/3 + 1/4 = 2/7。能帮我检查一下吗?
Authored learning objective 帮助学生诊断分数加法中的错误,解释相关的分数单位概念,并引导他寻找公分母,不要直接给出最后答案。
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Case context · zh-CN Conceptual Misconception
Misconception Identification · Error Localization · Conceptual Prompting · Scaffolding · Answer Non Disclosure · Student Executable Action
CASE 05 / 48 Middle School · Mathematics
Linear Equations
Learner Tutor (AI) Rubric Analysis
I solved 2x + 3 = 11 and got x=4. Please check it and show the solution.
Authored learning objective Verify the student's proposed solution and explain the check clearly.
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Case context · en Uncertain But Correct
Factual Correctness · Procedural Correctness · Check For Understanding · Procedural Prompting
CASE 06 / 48 Middle School · Mathematics
一元一次方程
Learner Tutor (AI) Rubric Analysis
我解 2x + 3 = 11 得到 x=4。请帮我检查一下,并把解法写出来。
Authored learning objective 核对学生提出的解法,并清楚地解释怎样验证。
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Case context · zh-CN Uncertain But Correct
Factual Correctness · Procedural Correctness · Check For Understanding · Procedural Prompting
CASE 07 / 48 Middle School · Mathematics
Linear Equations
Learner Tutor (AI) Rubric Analysis
I am stuck on 2x + 3 = 11. Give me only a hint; do not tell me the answer.
Authored learning objective Help the student take the first step solving 2x + 3 = 11 while preserving their opportunity to finish.
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Case context · en Stuck Without Attempt
Hint Calibration · Answer Non Disclosure · Student Agency · Clear Next Step
CASE 08 / 48 Middle School · Mathematics
一元一次方程
Learner Tutor (AI) Rubric Analysis
我卡在 2x + 3 = 11。只给我一个提示,不要告诉我答案。
Authored learning objective 只给学生解方程的第一步提示,让他自己完成后面的运算。
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Case context · zh-CN Stuck Without Attempt
Hint Calibration · Answer Non Disclosure · Student Agency · Clear Next Step
CASE 09 / 48 Secondary · History Or Social Studies
Historical Causation
Learner Tutor (AI) Rubric Analysis
I think one event alone caused the whole conflict, but I am not sure.
Authored learning objective Help the student distinguish a contributing cause from a single-cause explanation.
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Case context · en Uncertain But Correct
Reasoning Consistency · Uncertainty Detection · Clear Next Step · Student Executable Action
CASE 10 / 48 Secondary · History Or Social Studies
历史因果关系
Learner Tutor (AI) Rubric Analysis
我觉得整场冲突就是一件事造成的,但也不太确定。
Authored learning objective 帮助学生区分促成事件的一个原因和‘唯一原因’的说法。
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Case context · zh-CN Uncertain But Correct
Reasoning Consistency · Uncertainty Detection · Clear Next Step · Student Executable Action
CASE 11 / 48 Secondary · History Or Social Studies
Source Bias
Learner Tutor (AI) Rubric Analysis
This source lists dates, so it cannot be biased. Is my reasoning correct?
Authored learning objective Check the student's claim that a source is completely objective and introduce a precise way to examine bias.
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Case context · en Overconfident Incorrect
Factual Correctness · Misleading Simplification · Error Detection · Check For Understanding
CASE 12 / 48 Secondary · History Or Social Studies
史料偏见
Learner Tutor (AI) Rubric Analysis
这份史料列出了很多日期,所以它不可能有偏见。我的推理对吗?
Authored learning objective 检查学生认为史料完全客观的说法,并介绍一个更准确的分析偏见的方法。
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Case context · zh-CN Overconfident Incorrect
Factual Correctness · Misleading Simplification · Error Detection · Check For Understanding
CASE 13 / 48 Secondary · History Or Social Studies
Primary Sources
Learner Tutor (AI) Rubric Analysis
Why can the same event be described differently by two sources?
Authored learning objective Explain why the author and context of a primary source matter before drawing a conclusion.
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Case context · en Novice
Conceptual Correctness · Prior Knowledge Adaptation · Explanation Depth Adaptation · Productive Question
CASE 14 / 48 Secondary · History Or Social Studies
一手史料与历史语境
Learner Tutor (AI) Rubric Analysis
同一件事为什么会被两份史料写得不一样?
Authored learning objective 解释在解读一手史料前,为什么要关注作者和写作背景。
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Case context · zh-CN Novice
Conceptual Correctness · Prior Knowledge Adaptation · Explanation Depth Adaptation · Productive Question
CASE 15 / 48 Secondary · Language
Textual Evidence
Learner Tutor (AI) Rubric Analysis
I think the character is brave, but I do not know what evidence to use.
Authored learning objective Guide the student to support an interpretation with a specific piece of textual evidence.
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Case context · en Partial Understanding
Reasoning Consistency · Scaffolding · Answer Non Disclosure · Productive Question
CASE 16 / 48 Secondary · Language
用文本证据支持观点
Learner Tutor (AI) Rubric Analysis
我觉得主人公很勇敢,但不知道该引用哪一句话来证明。能给我一点提示吗?
Authored learning objective 引导学生用一条具体的文本证据支持自己的解读。
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Case context · zh-CN Partial Understanding
Reasoning Consistency · Scaffolding · Answer Non Disclosure · Productive Question
CASE 17 / 48 Middle School · Language
Subject Verb Agreement
Learner Tutor (AI) Rubric Analysis
The list of examples are on the page. Is this sentence correct?
Authored learning objective Check the student's sentence and identify the agreement error without merely approving it.
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Case context · en Overconfident Incorrect
Error Detection · Error Localization · Procedural Correctness · Check For Understanding
CASE 18 / 48 Middle School · Language
主谓一致
Learner Tutor (AI) Rubric Analysis
The list of examples are on the page. 这句话对吗?
Authored learning objective 检查学生的句子,指出主谓一致错误,而不是直接认可它。
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Case context · zh-CN Overconfident Incorrect
Error Detection · Error Localization · Procedural Correctness · Check For Understanding
CASE 19 / 48 Upper Elementary · Language
Word Meaning From Context
Learner Tutor (AI) Rubric Analysis
I think 'reluctant' means unsure, but I am not completely certain.
Authored learning objective Use context clues to evaluate the student's proposed meaning, correct it if the context points elsewhere, and ask the student to identify the supporting clue.
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Case context · en Partial Understanding
Conceptual Correctness · Uncertainty Detection · Productive Question
CASE 20 / 48 Upper Elementary · Language
根据上下文理解词义
Learner Tutor (AI) Rubric Analysis
我觉得 reluctant 是‘不太确定’的意思,但又不是完全有把握。
Authored learning objective 使用上下文线索判断学生提出的词义是否合适;如果线索指向别处就纠正,并请学生指出支持判断的具体线索。
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Case context · zh-CN Partial Understanding
Conceptual Correctness · Uncertainty Detection · Productive Question
CASE 21 / 48 Upper Elementary · Mathematics
Fraction Addition
Learner Tutor (AI) Rubric Analysis
Why can't I add 2/3 + 1/3 as 3/6? I do not understand what the denominator means.
Authored learning objective Build the student's understanding of why fraction denominators describe equal units before solving the problem.
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Case context · en Conceptual Misconception
Conceptual Correctness · Prior Knowledge Adaptation · Explanation Depth Adaptation · Conceptual Prompting · Student Executable Action · Counterfactual Adaptation
CASE 22 / 48 Upper Elementary · Mathematics
分数加法
Learner Tutor (AI) Rubric Analysis
为什么 2/3 + 1/3 不能算成 3/6?我不明白分母到底表示什么。
Authored learning objective 先建立学生对分母表示相等单位的理解,再帮助他思考这道题。
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Case context · zh-CN Conceptual Misconception
Conceptual Correctness · Prior Knowledge Adaptation · Explanation Depth Adaptation · Conceptual Prompting · Student Executable Action · Counterfactual Adaptation
CASE 23 / 48 Upper Elementary · Mathematics
Fraction Addition
Learner Tutor (AI) Rubric Analysis
I found the common denominator for 2/3 + 1/3, but I wrote 3/6. Where did I go wrong?
Authored learning objective Repair one procedural error while preserving the student's understanding of common denominators.
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Case context · en Procedural Error
Procedural Correctness · Error Localization · Misconception Specific Adaptation · Procedural Prompting · Student Executable Action · Counterfactual Adaptation
CASE 24 / 48 Upper Elementary · Mathematics
分数加法
Learner Tutor (AI) Rubric Analysis
我已经找到了 2/3 + 1/3 的公分母,可是算成了 3/6。到底哪一步错了?
Authored learning objective 保留学生对公分母的理解,只纠正最后一步的计算方法。
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Case context · zh-CN Procedural Error
Procedural Correctness · Error Localization · Misconception Specific Adaptation · Procedural Prompting · Student Executable Action · Counterfactual Adaptation
CASE 25 / 48 Elementary · Mathematics
Multiplication As Groups
Learner Tutor (AI) Rubric Analysis
Why does 3 x 4 mean groups? I thought it was just two numbers to combine.
Authored learning objective Build the student's understanding of multiplication as equal groups before asking for a calculation.
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Case context · en Conceptual Misconception
Conceptual Correctness · Prior Knowledge Adaptation · Explanation Depth Adaptation · Counterfactual Adaptation · Procedural Prompting · Student Executable Action
CASE 26 / 48 Elementary · Mathematics
用相等的组理解乘法
Learner Tutor (AI) Rubric Analysis
为什么 3 × 4 会表示几组东西?我以为它只是把两个数合起来。
Authored learning objective 在要求学生计算前,先帮助他理解乘法表示相等的几组。
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Case context · zh-CN Conceptual Misconception
Conceptual Correctness · Prior Knowledge Adaptation · Explanation Depth Adaptation · Counterfactual Adaptation · Procedural Prompting · Student Executable Action
CASE 27 / 48 Elementary · Mathematics
Multiplication As Groups
Learner Tutor (AI) Rubric Analysis
I drew three groups of four, but I wrote 3+4 instead of 4+4+4. What should I fix?
Authored learning objective Repair the student's grouping notation while preserving their understanding of multiplication.
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Case context · en Procedural Error
Procedural Correctness · Misconception Specific Adaptation · Counterfactual Adaptation · Student Executable Action
CASE 28 / 48 Elementary · Mathematics
用相等的组理解乘法
Learner Tutor (AI) Rubric Analysis
我画了三组、每组四个,但写成了 3+4,没有写 4+4+4。我该改哪里?
Authored learning objective 保留学生对相等分组的理解,只纠正他写重复加法式子时的错误。
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Case context · zh-CN Procedural Error
Procedural Correctness · Misconception Specific Adaptation · Counterfactual Adaptation · Student Executable Action
CASE 29 / 48 Secondary · Programming
Abstraction And Reuse
Learner Tutor (AI) Rubric Analysis
I copied the same three lines four times. Should I build a large class to fix it?
Authored learning objective Help the student transfer a repeated code pattern into a small reusable function without overengineering it.
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Case context · en Partial Understanding
Difficulty Adaptation · Prior Knowledge Adaptation · Explanation Depth Adaptation · Student Executable Action
CASE 30 / 48 Secondary · Programming
抽象与复用
Learner Tutor (AI) Rubric Analysis
我把同样的三行代码复制了四遍。要不要建一个很大的类来解决?
Authored learning objective 帮助学生把重复出现的代码提炼成一个小函数,同时避免过度设计。
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Case context · zh-CN Partial Understanding
Difficulty Adaptation · Prior Knowledge Adaptation · Explanation Depth Adaptation · Student Executable Action
CASE 31 / 48 Middle School · Programming
Functions
Learner Tutor (AI) Rubric Analysis
What is the difference between an argument and a return value?
Authored learning objective Give a concise explanation of what a function input and return value do.
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Case context · en Novice
Factual Correctness · Conceptual Correctness · Scaffolding · Clear Next Step
CASE 32 / 48 Middle School · Programming
函数
Learner Tutor (AI) Rubric Analysis
函数的参数和返回值有什么区别?
Authored learning objective 用简短的方式解释函数接收的输入和返回值分别做什么。
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Case context · zh-CN Novice
Factual Correctness · Conceptual Correctness · Scaffolding · Clear Next Step
CASE 33 / 48 Middle School · Programming
Loops
Learner Tutor (AI) Rubric Analysis
My loop keeps printing forever. I increment the counter inside the loop.
Authored learning objective Help the student locate why the loop does not terminate and propose a testable next step.
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Case context · en Procedural Error
Error Detection · Error Localization · Procedural Prompting · Student Executable Action · Overhelping Avoidance
CASE 34 / 48 Middle School · Programming
循环
Learner Tutor (AI) Rubric Analysis
我的循环一直在打印,可是我明明在循环里把计数器加一了。
Authored learning objective 帮助学生找出循环为什么不会结束,并提出一个可以验证的下一步。
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Case context · zh-CN Procedural Error
Error Detection · Error Localization · Procedural Prompting · Student Executable Action · Overhelping Avoidance
CASE 35 / 48 Middle School · Programming
Array Indexing
Learner Tutor (AI) Rubric Analysis
The array has length 3, so accessing item[3] should be the last item. Why does it fail?
Authored learning objective Help the student inspect an off-by-one array error rather than treating the crash as random.
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Case context · en Overconfident Incorrect
Error Detection · Procedural Correctness · Procedural Prompting · Check For Understanding
CASE 36 / 48 Middle School · Programming
数组索引
Learner Tutor (AI) Rubric Analysis
数组长度是 3,所以访问 item[3] 应该就是最后一项。为什么会报错?
Authored learning objective 帮助学生检查数组越界的一位偏差,而不是把报错当成随机现象。
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Case context · zh-CN Overconfident Incorrect
Error Detection · Procedural Correctness · Procedural Prompting · Check For Understanding
CASE 37 / 48 Secondary · Programming
Tests
Learner Tutor (AI) Rubric Analysis
The test failed, but I do not know where to start.
Authored learning objective Help the student turn a failing test report into a first debugging action.
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Case context · en Stuck Without Attempt
Knowledge Gap Identification · Student Executable Action · Productive Question · Difficulty Adaptation
CASE 38 / 48 Secondary · Programming
测试失败排查
Learner Tutor (AI) Rubric Analysis
测试失败了,但我完全不知道该从哪里开始。
Authored learning objective 帮助学生把失败的测试报告转化成第一个调试动作。
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Case context · zh-CN Stuck Without Attempt
Knowledge Gap Identification · Student Executable Action · Productive Question · Difficulty Adaptation
CASE 39 / 48 Middle School · Science
Density
Learner Tutor (AI) Rubric Analysis
What does density measure?
Authored learning objective Explain what density means and help the student recall its relationship to mass and volume.
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Case context · en Novice
Factual Correctness · Conceptual Correctness · Productive Question
CASE 40 / 48 Middle School · Science
密度
Learner Tutor (AI) Rubric Analysis
密度到底表示什么?我有点想不起来了。
Authored learning objective 帮助学生回忆密度和质量、体积之间的关系。
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Case context · zh-CN Novice
Factual Correctness · Conceptual Correctness · Productive Question
CASE 41 / 48 Middle School · Science
Forces
Learner Tutor (AI) Rubric Analysis
If a book is resting on a table, are the forces balanced?
Authored learning objective Help the student transfer the idea of balanced forces to a new everyday example.
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Case context · en Partial Understanding
Conceptual Correctness · Difficulty Adaptation · Counterfactual Adaptation · Student Executable Action
CASE 42 / 48 Middle School · Science
力的平衡与迁移
Learner Tutor (AI) Rubric Analysis
一本书静止放在桌面上,作用在它上的力是平衡的吗?
Authored learning objective 把新情境和学生已经理解的平衡力联系起来,帮助他迁移这个概念。
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Case context · zh-CN Partial Understanding
Conceptual Correctness · Difficulty Adaptation · Counterfactual Adaptation · Student Executable Action
CASE 43 / 48 Middle School · Science
Reading Graphs
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The highest point must be the fastest rate, so the graph proves the reaction stayed fastest there.
Authored learning objective Locate the student's graph-reading error and ask for a verification step.
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Case context · en Overconfident Incorrect
Error Detection · Error Localization · Uncertainty Detection · Procedural Prompting
CASE 44 / 48 Middle School · Science
读取科学图表
Learner Tutor (AI) Rubric Analysis
最高点一定表示变化率最大,所以图表能证明反应在那里保持最快,对吗?
Authored learning objective 帮助学生找出图表读取中的错误,并要求一个核验步骤。
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Case context · zh-CN Overconfident Incorrect
Error Detection · Error Localization · Uncertainty Detection · Procedural Prompting
CASE 45 / 48 Middle School · Science
Photosynthesis
Learner Tutor (AI) Rubric Analysis
Do plants eat sunlight to grow?
Authored learning objective Explain the role of light and carbon dioxide in photosynthesis without implying that plants simply eat sunlight.
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Case context · en Novice
Conceptual Correctness · Misleading Simplification · Scaffolding · Check For Understanding
CASE 46 / 48 Middle School · Science
光合作用
Learner Tutor (AI) Rubric Analysis
植物是不是把阳光吃进去,然后就长大了?能解释一下吗?
Authored learning objective 清楚解释光合作用怎样利用光能和二氧化碳,同时避免把概念讲得失真。
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Case context · zh-CN Novice
Conceptual Correctness · Misleading Simplification · Scaffolding · Check For Understanding
CASE 47 / 48 Beginner · Mathematics
Fraction Meaning
Learner Tutor (AI) Rubric Analysis
I have never understood fractions. What does 2/3 mean?
Authored learning objective Use a concrete, small-step explanation to help a beginner interpret 2/3.
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Case context · en Novice
Conceptual Correctness · Explanation Depth Adaptation · Scaffolding · Student Executable Action
CASE 48 / 48 Beginner · Mathematics
分数的意义
Learner Tutor (AI) Rubric Analysis
我一直不明白分数。2/3 到底是什么意思?
Authored learning objective 用具体、简单的小步骤,帮助刚开始学习的学生理解 2/3。
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Case context · zh-CN Novice
Conceptual Correctness · Explanation Depth Adaptation · Scaffolding · Student Executable Action