{"course":{"slug":"ai-for-students","title":"AI for Students","url":"https://addaly.com/learn/ai-for-students","level":"beginner","track":"work"},"lesson":{"slug":"building-a-hint-ladder","title":"Building a hint ladder","url":"https://addaly.com/learn/ai-for-students/building-a-hint-ladder","position":21,"of":73,"minutes":8,"answer":"Take the smallest hint that lets you continue.","keyIdea":"Take the smallest hint that lets you continue, and when checking work ask only for the number of the first wrong line: the gap between locating an error and being told the fix is where the learning is."},"body":{"format":"markdown","text":"## The size of the hint decides what you learn\n\nWhen you are stuck, there is a whole range of possible help between nothing and the answer, and almost all of the learning lives in the small end. A hint ladder is that range made explicit, so you take the smallest rung that gets you moving instead of jumping to the top.\n\nA five-rung ladder for a problem in any subject:\n\n1. **Attention.** *Which part of the question have you not used yet?* No content at all, just a direction to look.\n2. **Category.** *This is a conservation-of-energy problem, not a kinematics one.* Names the class without touching the instance.\n3. **First move.** *Start by writing the energy at the top and the energy at the bottom.* One step, no working.\n4. **Structure.** The full outline with the arithmetic left out.\n5. **Solution.** Everything.\n\nThe rule is simple: take rung one, work for two minutes, take rung two only if still stuck. Most problems break at rung two or three. The rungs above four should feel like a defeat you have earned, not a default.\n\n> Figure: Take the smallest rung that gets you moving. Layers, top to bottom: Rung one: attention (Which part of the question have you not used yet? No content at all.); Rung two: category (This is conservation of energy, not kinematics. Names the class, not the instance.); Rung three: the first move (Write the energy at the top and at the bottom. One step, no working.); Rung four: structure (The full outline with the arithmetic left out.); Rung five: the solution (Everything. A defeat you have earned rather than a default.). Most problems break at rung two or three. Attempting to produce an answer before being shown it improves retention of the correct answer even when the attempt fails, which is why a ladder is a machine for getting as many attempts as possible out of one problem and a solution is a machine for getting none. Expect the model to drift upward; that is what its tuning means by helpful.\n\n## Why the small rung is worth more\n\nThe effect underneath this is **generation**: attempting to produce an answer before being shown it improves retention of the correct answer, even when the attempt fails. It has been replicated across vocabulary, concepts and problem solving. Failed generation followed by feedback beats being told directly, which is counterintuitive enough that most students will not believe it until they run the notebook experiment from Module 1 on themselves.\n\nA hint ladder is a machine for extracting as many generation attempts as possible from one problem. A solution is a machine for extracting none.\n\n## The prompt, and the clauses that matter\n\n> I am stuck on the problem below. Give me hints one at a time, starting with the smallest possible nudge: a question about what to look at, not a step. Wait for me to try. Only give the next hint when I ask. Never give the full solution unless I type SOLVE. If my attempt is wrong, tell me which line is wrong without telling me what it should be.\n\nThe last sentence is the one people leave out and it is the most valuable. *Which line is wrong* points you at the error; *what it should be* removes the work. The gap between those two is where the learning happens.\n\n## Locating the error without revealing it\n\nA related move for when you have an answer that does not match:\n\n> Here is my working. Tell me only the number of the first line that contains an error. Nothing else.\n\nThis is astonishingly effective on long derivations, and it is the closest thing to a good human tutor's behaviour that these tools do naturally. You get the location, you do the diagnosis. If you still cannot see it after a genuine attempt, escalate: *what kind of error is on line 4: algebraic, conceptual, or an unjustified assumption?* Still no content, more direction.\n\n## When to abandon the ladder\n\nThe ladder is for problems within reach. It is the wrong tool in three cases:\n\n- **You are missing the prerequisite.** If you do not know what a partial derivative is, no hint about the problem helps. Recognise this and go back a level rather than grinding. The tell is that rung two makes no sense to you.\n- **Time has run out.** At eleven at night with a deadline, take the solution, and then (this is the part that matters) mark the problem and redo it from scratch two days later. A solution taken under pressure is not a failure unless you never come back to it.\n- **The problem is broken.** Sometimes the question has a typo or is ambiguous. Two rungs of hint that make no sense is a reason to check with a human, not to assume you are stupid.\n\n## Building your own ladders for others\n\nIf you tutor, mentor, or work in a study group, writing hint ladders is the single most useful thing you can prepare. Take the six problems everybody gets stuck on and write five rungs for each. It takes an hour and it is more useful than any amount of explaining, because it lets the person you are helping keep doing the work.\n\nIt is also, incidentally, one of the best ways to find out whether you understand a topic. Writing rung two (the one that names the category without touching the instance) requires you to know what the problem is about.\n\n## The limitation\n\nA model will drift up the ladder if you let it. Assistants are tuned to be helpful, and *helpful* in that tuning means complete. Expect it to sneak the answer into rung two, and expect to have to say *that was too much, go back to a smaller hint*. This is not a failure of your prompt. It is a standing tendency you manage every session, which is why the SOLVE keyword exists: it gives the model an explicit thing to wait for."},"check":{"question":"A student's hint prompt says \"tell me which line is wrong\" but they omit \"without telling me what it should be\". What is lost?","options":[{"text":"Nothing significant, since knowing which line is wrong already tells you where to look and the correction only saves time.","correct":false,"tempting":"Treats the correction as a time saving rather than as the task; the diagnosis is the thing the exam will require you to perform unaided."},{"text":"Accuracy, because a model asked to correct a line is more likely to hallucinate a fix than to identify a fault.","correct":false,"tempting":"Raises an unrelated reliability worry; the omission's cost is pedagogical, and it applies even when the correction offered is perfectly right."},{"text":"The generation attempt: locating an error is direction, diagnosing it is the work.","correct":true},{"text":"The record of the attempt, since a corrected line overwrites the student's own working and weakens their process evidence.","correct":false,"tempting":"Borrows a genuine concern from the academic-integrity module, but nothing here overwrites the student's file; the loss is what they no longer have to think through."}]},"prev":{"slug":"make-it-quiz-you","title":"Make It Quiz You","url":"https://addaly.com/learn/ai-for-students/make-it-quiz-you"},"next":{"slug":"retrieval-before-review","title":"Retrieval before review","url":"https://addaly.com/learn/ai-for-students/retrieval-before-review"},"authorship":"Founder and series editor: Dr Mustafa Mun. Written by AI models to a written standard. Exam keys checked blind by a second model: 3,665 of 3,666 agreed. Academic review invited.","review":{"status":"Draft, open for academic review"},"cite":"Addaly (2026) 'Building a hint ladder', in AI for Students. Edited by M. Mun. Addaly. Available at: https://addaly.com/learn/ai-for-students/building-a-hint-ladder (Accessed: 13 October 2026).","licence":{"name":"CC BY-NC-SA 4.0","url":"https://creativecommons.org/licenses/by-nc-sa/4.0/"},"reader":{"schema":1,"title":"Building a hint ladder","courseTitle":"AI for Students","module":{"index":3,"slug":"study-that-raises-difficulty","title":"Study that raises the difficulty"},"answer":null,"keyIdea":"Take the smallest hint that lets you continue, and when checking work ask only for the number of the first wrong line: the gap between locating an error and being told the fix is where the learning is.","hero":{"kind":"figure","figure":{"t":"figure","label":"Figure","figure":{"type":"stack","title":"Take the smallest rung that gets you moving","layers":[{"label":"Rung one: attention","detail":"Which part of the question have you not used yet? No content at all."},{"label":"Rung two: category","detail":"This is conservation of energy, not kinematics. Names the class, not the instance."},{"label":"Rung three: the first move","detail":"Write the energy at the top and at the bottom. One step, no working."},{"label":"Rung four: structure","detail":"The full outline with the arithmetic left out."},{"label":"Rung five: the solution","detail":"Everything. A defeat you have earned rather than a default."}],"caption":"Most problems break at rung two or three. Attempting to produce an answer before being shown it improves retention of the correct answer even when the attempt fails, which is why a ladder is a machine for getting as many attempts as possible out of one problem and a solution is a machine for getting none. Expect the model to drift upward; that is what its tuning means by helpful."},"alt":"Figure: Take the smallest rung that gets you moving. Layers, top to bottom: Rung one: attention (Which part of the question have you not used yet? No content at all.); Rung two: category (This is conservation of energy, not kinematics. Names the class, not the instance.); Rung three: the first move (Write the energy at the top and at the bottom. One step, no working.); Rung four: structure (The full outline with the arithmetic left out.); Rung five: the solution (Everything. A defeat you have earned rather than a default.). Most problems break at rung two or three. Attempting to produce an answer before being shown it improves retention of the correct answer even when the attempt fails, which is why a ladder is a machine for getting as many attempts as possible out of one problem and a solution is a machine for getting none. Expect the model to drift upward; that is what its tuning means by helpful."}},"blocks":[{"t":"h2","id":"the-size-of-the-hint-decides-what-you-learn","runs":[{"text":"The size of the hint decides what you learn"}]},{"t":"p","runs":[{"text":"When you are stuck, there is a whole range of possible help between nothing and the answer, and almost all of the learning lives in the small end. A hint ladder is that range made explicit, so you take the smallest rung that gets you moving instead of jumping to the top."}]},{"t":"p","runs":[{"text":"A five-rung ladder for a problem in any subject:"}]},{"t":"ol","start":1,"items":[[{"text":"Attention.","b":true},{"text":" "},{"text":"Which part of the question have you not used yet?","i":true},{"text":" No content at all, just a direction to look."}],[{"text":"Category.","b":true},{"text":" "},{"text":"This is a conservation-of-energy problem, not a kinematics one.","i":true},{"text":" Names the class without touching the instance."}],[{"text":"First move.","b":true},{"text":" "},{"text":"Start by writing the energy at the top and the energy at the bottom.","i":true},{"text":" One step, no working."}],[{"text":"Structure.","b":true},{"text":" The full outline with the arithmetic left out."}],[{"text":"Solution.","b":true},{"text":" Everything."}]]},{"t":"p","runs":[{"text":"The rule is simple: take rung one, work for two minutes, take rung two only if still stuck. Most problems break at rung two or three. The rungs above four should feel like a defeat you have earned, not a default."}]},{"t":"h2","id":"why-the-small-rung-is-worth-more","runs":[{"text":"Why the small rung is worth more"}]},{"t":"p","runs":[{"text":"The effect underneath this is "},{"text":"generation","b":true},{"text":": attempting to produce an answer before being shown it improves retention of the correct answer, even when the attempt fails. It has been replicated across vocabulary, concepts and problem solving. Failed generation followed by feedback beats being told directly, which is counterintuitive enough that most students will not believe it until they run the notebook experiment from Module 1 on themselves."}]},{"t":"p","runs":[{"text":"A hint ladder is a machine for extracting as many generation attempts as possible from one problem. A solution is a machine for extracting none."}]},{"t":"h2","id":"the-prompt-and-the-clauses-that-matter","runs":[{"text":"The prompt, and the clauses that matter"}]},{"t":"quote","runs":[{"text":"I am stuck on the problem below. Give me hints one at a time, starting with the smallest possible nudge: a question about what to look at, not a step. Wait for me to try. Only give the next hint when I ask. Never give the full solution unless I type SOLVE. If my attempt is wrong, tell me which line is wrong without telling me what it should be."}]},{"t":"p","runs":[{"text":"The last sentence is the one people leave out and it is the most valuable. "},{"text":"Which line is wrong","i":true},{"text":" points you at the error; "},{"text":"what it should be","i":true},{"text":" removes the work. The gap between those two is where the learning happens."}]},{"t":"h2","id":"locating-the-error-without-revealing-it","runs":[{"text":"Locating the error without revealing it"}]},{"t":"p","runs":[{"text":"A related move for when you have an answer that does not match:"}]},{"t":"quote","runs":[{"text":"Here is my working. Tell me only the number of the first line that contains an error. Nothing else."}]},{"t":"p","runs":[{"text":"This is astonishingly effective on long derivations, and it is the closest thing to a good human tutor’s behaviour that these tools do naturally. You get the location, you do the diagnosis. If you still cannot see it after a genuine attempt, escalate: "},{"text":"what kind of error is on line 4: algebraic, conceptual, or an unjustified assumption?","i":true},{"text":" Still no content, more direction."}]},{"t":"h2","id":"when-to-abandon-the-ladder","runs":[{"text":"When to abandon the ladder"}]},{"t":"p","runs":[{"text":"The ladder is for problems within reach. It is the wrong tool in three cases:"}]},{"t":"ul","items":[[{"text":"You are missing the prerequisite.","b":true},{"text":" If you do not know what a partial derivative is, no hint about the problem helps. Recognise this and go back a level rather than grinding. The tell is that rung two makes no sense to you."}],[{"text":"Time has run out.","b":true},{"text":" At eleven at night with a deadline, take the solution, and then (this is the part that matters) mark the problem and redo it from scratch two days later. A solution taken under pressure is not a failure unless you never come back to it."}],[{"text":"The problem is broken.","b":true},{"text":" Sometimes the question has a typo or is ambiguous. Two rungs of hint that make no sense is a reason to check with a human, not to assume you are stupid."}]]},{"t":"h2","id":"building-your-own-ladders-for-others","runs":[{"text":"Building your own ladders for others"}]},{"t":"p","runs":[{"text":"If you tutor, mentor, or work in a study group, writing hint ladders is the single most useful thing you can prepare. Take the six problems everybody gets stuck on and write five rungs for each. It takes an hour and it is more useful than any amount of explaining, because it lets the person you are helping keep doing the work."}]},{"t":"p","runs":[{"text":"It is also, incidentally, one of the best ways to find out whether you understand a topic. 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