Many students use AI as a supercharged answer key: they paste in a question, read the solution, and move on. Used well, the same chat is a supercharged learning tool. It can ask you questions, find the step where your thinking went wrong, and give you practice until the skill is yours. What decides which one you get is how you ask, and every prompt on this page is written to keep the thinking with you.
The sections below follow a study session with AI: setting up the chat, explaining your work, thinking out loud, practicing the skills underneath a question, learning the common mistakes, building varied practice, and checking both the AI and yourself. Each prompt has bracketed blanks for your own question and work.
Have the AI Give Hints and Hold Back the Answer
The mistake
Pasting in a question and reading the AI's full solution.
The fix
Tell the AI not to give you the answer, or turn on its study mode, and work through its questions and hints yourself.
Reading a clear solution feels like learning, because every step makes sense while you read it. The test comes later, when a question looks a little different and no one is showing you the steps. A skill grows from the work you do yourself, so the AI’s job is to ask, hint, and check.
A 2025 study in the journal PNAS measured what happens when students use AI the first way. About 1,000 high school students in Turkey practiced math with GPT-4. Students given a plain chat did better on the practice problems, then scored 17 percent lower than students who had practiced without AI on an exam where the AI was taken away. Students given a tutor version, which offered hints and held back answers, did even better on the practice problems, and their exam scores showed no significant difference from the students who had practiced without AI.
Practice problems, with AI
- Plain chat, “GPT Base”+48% compared with students who practiced without AI
- Tutor with hints, “GPT Tutor”+127% compared with students who practiced without AI
Exam afterward, without AI
- Plain chat, “GPT Base”−17%: 17% lower than students who practiced without AI
- Tutor with hints, “GPT Tutor”No significant difference: no statistically significant difference from students who practiced without AI
The major AI apps now have a mode built for studying. ChatGPT’s “study mode,” added in July 2025, works through problems with questions and hints. Google’s Gemini has “Guided Learning,” which asks probing, open-ended questions, and Claude has a “learning mode” that Anthropic introduced for students in 2025. Turn one on whenever you study. If your app doesn’t have one, paste the first prompt below at the start of the chat.
For this whole conversation, act as my SAT math tutor. When I share a question, ask me what I've tried before anything else, give me one hint at a time, and ask me to explain each step back to you. Don't give me the final answer, even if I ask for it, until I've solved it myself.
Paste this first, before any question, if your AI has no study mode turned on.
Here is an SAT math question I'm working on: [paste the question]. Help me figure out how to approach it, so I can solve questions like it on my own. Ask me one question at a time and wait for my answer before you go on. Don't give me the answer or solve it for me.
Use this when you're stuck before you've written anything.
Explain Why You Believed Each Step So the AI Can Find Your Mistake
The mistake
Asking the AI to check an answer without showing how you got it.
The fix
Show every line of your work and say why you believed each step, so the AI can find the first place your thinking went wrong.
A wrong answer usually comes from a belief that seemed right at the time, such as “the 3 only multiplies the x.” When you tell the AI what you believed and why, it can aim straight at that belief. Correcting the belief fixes this question and every later question the same belief would have spoiled. Explaining your own reasoning as you work is called “self-explanation,” and a 2013 review of learning research rated it as a moderately useful study technique.
Let’s try a tutor’s job. The work below has one slip, and a good tutor starts by finding the first line where it happened.
The first line where the thinking went wrong
Example questionSolve .
Which line is the first one that’s wrong?
- 1
- 2
- 3
- 4
Once you find a slip, say in one sentence what you believed, then explain the correction back to the AI. Putting the correction in your own words is what makes the idea yours.
Here is a question and my work on it, line by line: [question and work]. I thought [the step I'm unsure about] was right because [my reason]. Find the first line where my thinking went wrong, and ask me a question that helps me see it. Don't correct the work for me or give me the answer.
Use this after a wrong answer, with every line of your work.
Voice Mode Lets the AI Catch a Mistake the Moment You Say It
The mistake
Typing a long message every time you get confused.
The fix
Turn on voice mode and think out loud while you work on paper, so the AI can ask about a slip the moment you say it.
Voice mode lets you talk through a problem while you work it on paper, and it feels like having a teacher in front of you. When something stops making sense, say it the way you would to a person: “Oh, I thought it was this.” Saying your reasoning out loud puts the exact thought that went wrong where the AI can ask about it.
- Student
Okay, a jacket is 20 percent off, and then there's another 10 percent off at the register, so that's 30 percent off in total.
- AI
Suppose the jacket starts at 100 dollars. What does it cost after the first discount?
- Student
80 dollars. Then 10 percent of 80 is 8, so it's 72. Oh, I thought the percents just added. The second discount comes off the smaller price, so it's 28 percent off in total.
I'm going to talk through this question out loud while I work on paper: [question]. Listen to my reasoning, and when something I say sounds off, ask me what I meant. Keep your turns short. Don't solve it for me or tell me the answer.
Use this in voice mode while you work the problem on paper.
A Hard Question Is Usually Basic Skills Stacked Together
The mistake
Practicing only full SAT questions when one basic step keeps tripping you up.
The fix
Ask which skills the question depends on, find the one you're missing, and warm up on it until it's quick.
A hard question is usually several basic skills stacked together. If one of them is shaky, the whole question falls over, and practicing more hard questions won’t show you which piece is loose. The question below stacks five skills. Step through them to see the line of work each one produces.
The basic skills stacked inside a harder question
A rectangle's length is 3 meters more than its width, and its area is 40 square meters.What is the width, in meters?
The width is , so the length is , and length times width is the area.
Tom puts it this way: “Most of what seems like advanced mathematics is just basic mathematics that has been mastered.” Warming up on the basic skill that slows you down makes every harder question built from it more manageable. A short warm-up at the start of a study session is a good place for it.
Here is a question I got wrong: [question]. List the skills it depends on, from the most basic to the most advanced. Then ask me one quick question on each skill, starting with the most basic, so we can find the one I'm missing. Don't solve the original question for me.
Use this when a question keeps beating you and you can't tell why.
I want to get fast and comfortable with [a basic skill, such as distributing a negative number]. Give me a warm-up of six short problems, one at a time, starting easy and getting a little harder. Wait for my answer each time, and tell me only whether it's right until I ask for help. Don't show me a solution before I've tried.
Use this at the start of a study session, on the skill that slows you down.
Most Common Mistakes Have a Clue in the Question That Warns You
The mistake
Understanding one explanation and moving on without learning what to watch for next time.
The fix
Ask what mistakes students often make on this kind of question, and which clue in the question prevents each one.
Most mistakes on a kind of question are predictable, and each one has a clue in the question that points to the right step. Learning the clue turns one correction into something you’ll recognize on your own next time. Here are three common algebra mistakes and the clues that catch them.
Multiplying only the first term
The clue to notice
A number right before parentheses multiplies every term inside, so the result is .
Squaring a sum one term at a time
The clue to notice
An exponent outside parentheses means the whole group repeats. Write out , which gives .
Losing a sign
The clue to notice
A minus sign in front of parentheses changes the sign of every term inside, so the result is .
Here is a kind of SAT math question I'm practicing: [question]. What mistakes do students often make on questions like this? For each one, tell me the clue in the question that shows what to do instead, then give me a short question to check that I can spot it. Don't solve the original question for me.
Use this after you understand a question, to protect yourself on the next one.
Varied Practice Questions Make You Decide Which Idea Applies
The mistake
Practicing a missed skill on questions that all look alike and share an answer letter.
The fix
Ask for new questions with different contexts and structures, including one where the usual shortcut fails, and spread the answers across A, B, C, and D.
Right after a miss, while the idea is fresh, is a good time for more practice on it. If every new question has the same structure, though, repeating a pattern without thinking is enough to answer, and if every answer is B, the letter teaches you more than the math does. Varied questions make you decide which idea applies each time, and that decision is what the SAT tests.
Which variation breaks the usual shortcut?
The pattern you practiced
Multiply the number outside the parentheses by each term inside.
A question where the familiar shortcut fails is the most useful one in a set. It sits right next to the pattern you practiced, so it shows you exactly where the pattern stops working.
I missed this question: [question]. Make me a set of five new questions that test the same skill, with different contexts and different structures. Include at least one question where the usual shortcut doesn't work, and spread the correct answers across A, B, C, and D. Give me one question at a time and wait for my answer and reasoning. Don't give me any answers until I've tried each one.
Use this right after a miss, while the question is fresh.
Check the AI’s Steps, Then Solve a New Question With the Chat Closed
The mistake
Trusting every AI step, and counting an answer you reached with the chat's help as a skill you have.
The fix
Check any step that looks off with Desmos, a lesson, or a tutor, then close the chat and solve a fresh question alone.
AI makes mistakes, including arithmetic mistakes, and it states wrong steps as confidently as right ones. When a step looks off, check it: compute or graph it in Desmos, compare it with a lesson, or ask a tutor. Tom recommends the “thinking” or reasoning versions of the leading models from OpenAI, Google, and Anthropic, which take more time to work through problems with several steps.
The last check is on you. Once an explanation makes sense, close the chat and solve a new question with no help. Solving a new question alone, with the chat closed, is the evidence that you learned the skill.
I think I understand [the skill] now. Give me one new question on it that looks different from the ones we've done. Wait for my answer and my reasoning, then tell me whether the reasoning holds up. Don't give me hints or the answer unless I ask.
Use this when an explanation finally makes sense, before you move on.
Which Prompt Fits the Moment You’re In?
Each prompt on this page fits a moment in a study session. Whichever moment you’re in, the prompt that goes with it is ready to copy.
Where you are right now, and what to paste
Here is an SAT math question I'm working on: [paste the question]. Help me figure out how to approach it, so I can solve questions like it on my own. Ask me one question at a time and wait for my answer before you go on. Don't give me the answer or solve it for me.
Use this when you're stuck before you've written anything.
Questions to ask yourself
- Did I try the question myself before I opened the chat?
- Did the AI ask me questions, or did it solve the problem for me?
- Can I explain the correction in my own words?
- Can I solve a new question like it with the chat closed?
Replace the bracketed parts of any prompt with your own question and work. Leave out personal details you wouldn’t want stored in a chat, such as your address or phone number.
Sources
- 01Bastani and others, PNAS, 2025Generative AI Without Guardrails Can Harm Learning: Evidence From High School MathematicsAbout 1,000 high school students practiced math with GPT-4. Plain chat raised practice scores and lowered exam scores once the AI was removed. A tutor version that gave hints raised practice scores more, with no significant change in exam scores.
- 02Dunlosky and others, Psychological Science in the Public Interest, 2013Improving Students' Learning With Effective Learning TechniquesA review of ten study techniques that rates self-explanation, explaining your own reasoning while you work, as moderately useful.