让 AI 出题、给提示、找出你的误解, 最后离开对话自己做一次。学习的成果是你会了什么, 并非收到多少解释。Use AI for questions, hints, and feedback on misconceptions, then try independently. The result is what you can do, not how many explanations you received.
读懂它的解释, 和自己会做, 中间还差一次尝试。学习时你可以把 ChatGPT 当作出题和反馈的搭档, 但最终要留下一段离开聊天框也能完成的答案。Understanding an explanation is not the same as doing the work yourself. Use ChatGPT to set questions and give feedback, then finish with an answer you can produce away from the chat.本章练一个日常会用到的小知识:分清涨跌金额、变化百分比和占比。材料短, 参考答案能手算, 你很容易发现它是否在认真指导。也可以把相同的练习顺序迁移到口语、软件操作和考试复习。Practice a small everyday skill: distinguishing an amount of change, a percentage change, and a share of a total. The material is short and the answers are hand-checkable, making it easier to judge the tutoring. The same sequence can support language practice, software skills, or revision.
— I
先写出你想独立做到什么Define What You Want to Do Independently.
目标不要停在「学会百分比」。改成:看到价格从 80 变成 100, 能写出增加多少、增加的比例以什么为分母;看到「八成」, 能说清是哪一部分占哪个整体。给自己一个很小的结束条件, 比要求它讲完整章数学更容易验收。Replace “learn percentages” with a visible target: when a price moves from 80 to 100, state the amount added and the denominator for the percentage increase. When something is described as four-fifths, identify the part and the whole. A small completion criterion is easier to check than an entire mathematics lecture.先在纸上写一次你的答案, 不查资料。答错也保留, 这是后面反馈的材料。告诉 ChatGPT 你已经会什么、卡在哪一步, 比只说「我是零基础」更具体。若练的是学校作业, 还要遵守老师对 AI 使用的要求, 不把代做当练习。Write your first answer on paper without looking anything up. Keep mistakes as feedback material. Explain what you can already do and the step that troubles you; that is more useful than saying only “I’m a beginner.” For schoolwork, follow the instructor’s AI rules rather than treating completed answers as practice.
— II
选一个会停下来等你的入口Choose an Interaction That Waits for You.
截至 2026-10-09, 官方 Study 说明指向普通 ChatGPT 聊天;网页可输入 @study 并从建议中选中 Study。Temporary Chat、GPT 和 Project 当前不支持这个 Study 入口。具体客户端可见性仍待你的账号核对。1注 1Note 1OpenAI Help · Using study mode。当前 Study 在普通聊天中使用, 不在 Temporary Chat、GPT 或 Project 中开启;网页可输入 @study 后选择 Study。它仍可能出错或直接给答案, 用量规则照常适用。核对于 2026-10-09。OpenAI Help · Using study mode. Study currently uses regular chats, not Temporary Chats, GPTs, or Projects. On the web, type @study and select Study. It can still err or give direct answers, and normal usage limits apply. Checked on 2026-10-09.先在普通聊天做这一章, 学习记录完成后再保存到自己的资料包。As of 2026-10-09, official Study guidance uses regular ChatGPT chats. On the web, type @study and select Study from suggestions. That Study entry is currently unavailable in Temporary Chats, GPTs, and Projects; verify the interface on your account.1注 1Note 1OpenAI Help · Using study mode。当前 Study 在普通聊天中使用, 不在 Temporary Chat、GPT 或 Project 中开启;网页可输入 @study 后选择 Study。它仍可能出错或直接给答案, 用量规则照常适用。核对于 2026-10-09。OpenAI Help · Using study mode. Study currently uses regular chats, not Temporary Chats, GPTs, or Projects. On the web, type @study and select Study. It can still err or give direct answers, and normal usage limits apply. Checked on 2026-10-09. Use a regular chat for this chapter and save the completed learning record to your context pack afterward.没有 Study 也可以在普通 Chat 请求「一次一题, 等我回答」。这是一种交互要求, 不保证行为与 Study 完全相同。它如果提前公布答案, 直接让它停下, 换一道同难度的新题, 不用为了维持一次失败的练习继续看完讲义。Without Study, ask a regular Chat to give one question at a time and wait. This requests an interaction pattern; it does not promise identical behavior to Study. If it reveals the answer, stop it and request a new question of the same difficulty instead of continuing through an unwanted lecture.
— III
让提示只多走一步Ask for the Smallest Useful Hint.
提示词PromptStudy 可用时, 或普通 ChatStudy if available, or a regular Chat
我想练到能独立完成 <具体能力>。我已经会 <已有基础>, 卡在 <困难>。一次只问一题, 先等我回答。答错时指出哪一步需要检查, 先给一条小提示, 不直接给完整答案。最后出不同数字或场景的新题, 让我不看提示做, 再总结我的错因。Help me independently <specific skill>. I can already <existing knowledge> but struggle with <difficulty>. Ask one question at a time and wait. When I err, identify the step to inspect and give one small hint before the full answer. Finish with a new problem using different values or a different context, which I will solve without hints, then summarize my mistakes.
我想分清金额变化、变化百分比和占比。会减法和除法, 但常常选错分母。先问我:价格从 80 元变为 100 元, 增加多少元, 相对原价增加多少百分比?先等我作答。错误时只提示分母应该代表什么, 不直接算完。最多练三题, 然后让我用纸笔做一次新题。不要联网、生成长讲义或替我填写学校作业。Help me distinguish an amount of change, percentage change, and share of a total. I know subtraction and division but often choose the wrong denominator. First ask: a price goes from 80 to 100; what is the amount and the percentage increase relative to the original price? Wait for my answer. If I err, hint only at what the denominator represents. Practice at most three questions, then give a new paper-and-pencil problem. Do not browse, create a long handout, or complete schoolwork for me.
例如你答「增加 20 元, 增加 20%」。适当提示是「你比较的是增加的 20 元与原价, 还是与新价?」你再写 20 ÷ 80 = 25%。这里的 25% 是相对原价的变化比例, 分子是增加的 20, 分母是原来的 80;不能只记一个百分号结果。Suppose you answer “up 20, an increase of 20%.” A useful hint is: “Are you comparing the extra 20 with the original or new price?” Then write 20 ÷ 80 = 25%. This 25% is a change relative to the original price: the numerator is the increase of 20 and the denominator is the original 80. The percentage alone is not enough.再比较「80 是 100 的 80%」:这是占比水平, 分子为 80, 分母为 100, 不是上面那次涨价的增幅。你能用自己的话解释两个分母, 才算掌握了这个例子。参考答案来自算式本身, 不以 AI 的表扬为标准。Compare “80 is 80% of 100.” That is a level or share, with 80 as the numerator and 100 as the denominator, not the earlier price increase. You understand the example when you can explain both denominators in your own words. The arithmetic, not AI praise, is the reference.
— IV
反馈错了, 也要能纠正老师Be Ready to Correct the Tutor.
假如它把 80 涨到 100 也判成增加 20%, 先别用同一句问题反复追问到它同意。这是构造的错误情形, 不是本轮真实输出。把争议落到算式, 要求它对照定义重算, 再找教材或可信资料交叉检查。If it also calls 80 to 100 a 20% increase, do not keep asking until it agrees with you. This is a constructed failure, not an observed response. Put the disagreement into an equation, ask it to recheck the definition, and use a textbook or reliable material as an independent check.
提示词Prompt核对反馈, 不索取夸奖Check the feedback, not the praise
你的评价与 <定义或原始材料> 不一致。请写出使用的定义、分子和分母, 对照我的步骤检查。若我的答案正确, 说明原因;若仍有错误, 指出具体一步。不要为了顺着我改答案, 也不要跳过依据。Your feedback conflicts with <definition or source material>. State the definition, numerator, and denominator, then check my steps. Explain why my answer is right if it is; otherwise identify the exact error. Do not change the answer merely to agree with me, and do not omit the basis.
你说从 80 元涨到 100 元的增幅是 20%。题目要求相对原价的变化, 我写的是 (100-80)/80=25%。请核对分母, 解释为什么用原价 80 而不是新价 100。然后另出一道数字不同的题, 暂不提供答案。You said the increase from 80 to 100 is 20%. The question asks for the change relative to the original price, and I wrote (100-80)/80=25%. Check the denominator and explain why it is the original 80, not the new 100. Then give a new problem with different values, without its answer yet.
如果正在学的主题超出自己能核验的范围, 保留问题, 回到课程讲义或请教老师。语气自信、答案很长、多个 agent 都同意, 都不能补上缺失的依据。数学小例子让你练习这种检查动作, 不代表所有知识都能这样快速验明。If a topic is beyond your ability to verify, keep the question and return to course material or a teacher. Confidence, length, and agreement between multiple agents do not supply missing evidence. This arithmetic example lets you practice checking; it does not imply that every subject is equally easy to verify.
— V
合上聊天, 做一组新题Close the Chat and Try New Problems.
先遮住下面的参考答案, 在纸上写:① 50 涨到 60, 相对原值的增幅是多少?② 60 降到 50, 相对原值的降幅是多少?③ 120 元的物品打八折, 应付多少?每题写算式, 并说明比例的分母。前两题数值方向相反, 正好检查你有没有机械套用同一个比例。Cover the answers below and work on paper: (1) What is the increase from 50 to 60 relative to the original value? (2) What is the decrease from 60 to 50 relative to the original? (3) What is the payable price when a 120 item is sold at 80% of its original price? Write each equation and denominator. The first two reverse the direction and expose memorized percentages.
题目Problem
参考答案与口径Answer and interpretation
50 → 6050 → 60
(60 − 50) ÷ 50 = 20%;变化比例, 分母为原值 50。(60 − 50) ÷ 50 = 20%; percentage change with original value 50 as denominator.
60 → 5060 → 50
(60 − 50) ÷ 60 ≈ 16.67%;降幅, 分母为原值 60。(60 − 50) ÷ 60 ≈ 16.67%; percentage decrease with original value 60 as denominator.
120 元打八折Pay 80% of 120
120 × 0.8 = 96 元;80% 是现价占原价的水平, 分母为原价 120, 相当于降低 20%。120 × 0.8 = 96; 80% is the new-price share of original price 120, equivalent to a 20% reduction.
如果做错, 错题记录只留四行:原题、我的想法、错在哪、下次怎样检查。比如「把新值当成分母;下次先圈出原来的值」。不要让它再生成二十页复习资料;先用另一个新例子验证这一条检查是否有效。For a mistake, keep four lines: the problem, your reasoning, the error, and the next check. For example: “Used the new value as denominator; circle the original value first next time.” Do not request twenty pages of revision notes; test that one check on another example.
— VI
换成口语练习时, 保留同样的闭环Use the Same Loop for Language Practice.
口语可以练一段退货说明:先自己说, 让它扮演店员只问一个问题, 每轮只纠正一个影响理解的表达, 最后换一家虚构商店重新说。语音可用时用语音;没有语音就打字, 也可以自己录一段仅供自己听, 不上传。文本纠错不能证明发音正确, 语音识别结果也不等于发音评分。For speaking practice, rehearse explaining a return: speak first, have it act as a clerk asking one question at a time, fix one expression that affects understanding, then try a different fictional store. Use voice if available, otherwise type or make a private recording you do not upload. Text correction cannot establish pronunciation quality, and a transcript is not a pronunciation score.Ethan Mollick 提醒读者主动决定哪些思考留给自己。2注 2Note 2Ethan Mollick · Choosing to Stay Human, 2026-05-26。署名实践观点:主动决定哪些思考留给自己, 用 AI 支持练习而非跳过练习。本书借用方法, 不引用效果数字;文中旧产品入口不沿用。Ethan Mollick · Choosing to Stay Human, 2026-05-26. An attributed practitioner perspective on choosing which thinking to retain and using AI to support rather than bypass practice. This book adapts the method, not outcome statistics or outdated product shortcuts.本书把这个观点落成一个简单规则:练习时让 AI 提示、出题和反馈, 自测时把它放下。这里不引用学习提升比例, 也不保证某种模式会自动让你学会。Ethan Mollick argues for deliberately choosing which thinking to retain.2注 2Note 2Ethan Mollick · Choosing to Stay Human, 2026-05-26。署名实践观点:主动决定哪些思考留给自己, 用 AI 支持练习而非跳过练习。本书借用方法, 不引用效果数字;文中旧产品入口不沿用。Ethan Mollick · Choosing to Stay Human, 2026-05-26. An attributed practitioner perspective on choosing which thinking to retain and using AI to support rather than bypass practice. This book adapts the method, not outcome statistics or outdated product shortcuts. Here that becomes a simple rule: use AI for hints, questions, and feedback, then put it aside for the test. This chapter makes no numerical learning-gain claim and does not promise that a mode teaches you automatically.
— VII
留一条下次能继续的记录Leave a Small Record for Next Time.
保存目标、一道代表错题和下次检查方法, 不必保存每句夸奖。Save the goal, one representative mistake, and a next-time check, not every compliment.
下一次先用不同题自测, 再决定需要讲解还是增加难度。Start the next session with a new independent test, then choose explanation or greater difficulty.
Study 没有额外无限额度;本轮练习消耗未做账号实测, 触限后可继续用纸笔。Study does not add unlimited usage. This exercise has no account-level usage measurement; continue on paper at a limit.
一次小练习的验收很清楚:你能解释原来错在哪里, 并独立做出新题。这个标准比学习聊天进行了多久、生成多少卡片更接近日常真正需要的能力。A small practice session has a clear test: explain the earlier mistake and independently solve a new problem. That is closer to useful ability than the length of the chat or the number of generated flashcards.
让它陪你练,
把最后一次作答留给自己.
Let it help you practice,
then answer the last question yourself.
Aklman Library
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