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Learning & ThinkingIntermediate20–40 min

Math & Science Tutor Prompts

Work through problems step by step without just getting the answer.

AI can be a patient, always-available math and science tutor — but only if you use it to build understanding rather than shortcut it. These prompts guide you through problem-solving, not around it.

The Workflow

1

Show your work before asking for help

Before asking AI to help with a problem, write out what you've tried and where you got stuck. This produces much more targeted help.

2

Ask for guided help, not the answer

The best prompt tells AI to guide you through the problem without just doing it for you.

PromptGuided Problem Solving

I'm working on this [SUBJECT] problem and I'm stuck. The problem: [PROBLEM_STATEMENT] What I've tried so far: [MY_WORK_SO_FAR] Where I got stuck: [SPECIFIC_STICKING_POINT] Please: 1. Don't give me the answer — help me figure it out 2. Identify the concept or technique I'm missing 3. Give me a hint that points me toward the next step 4. If I'm using the wrong approach entirely, tell me which approach is correct and why — but let me apply it 5. After I try again, evaluate whether my new attempt is on the right track

Replace: [SUBJECT], [PROBLEM_STATEMENT], [MY_WORK_SO_FAR], [SPECIFIC_STICKING_POINT]

3

Understand the concept behind the problem

After solving a problem, make sure you understand the underlying concept, not just the solution path.

PromptConcept Behind the Problem

I just solved (or tried to solve) this problem: [PROBLEM_STATEMENT] The approach that worked: [SOLUTION_APPROACH] Now help me understand: 1. What category of problem is this? What is the general technique for this category? 2. Give me two more problems that use the same underlying concept but look different on the surface 3. What are the most common mistakes students make with this concept? 4. What would I need to know to solve a harder version of this problem?

Replace: [PROBLEM_STATEMENT], [SOLUTION_APPROACH]

All Prompts for This Workflow

PromptGuided Problem Solving

I'm stuck on this [SUBJECT] problem: [PROBLEM_STATEMENT] My attempt: [MY_WORK_SO_FAR] Where I'm stuck: [SPECIFIC_STICKING_POINT] Don't give me the answer. Tell me what concept I'm missing, give a hint toward the next step, and let me try again. Evaluate my next attempt when I share it.

Replace: [SUBJECT], [PROBLEM_STATEMENT], [MY_WORK_SO_FAR], [SPECIFIC_STICKING_POINT]

PromptStep-by-Step Solution Walkthrough

Walk me through solving this problem step by step: [PROBLEM_STATEMENT] For each step: 1. State what we're trying to accomplish in this step 2. Show the work 3. Explain why we do it this way (not just what to do) 4. Note any common mistakes at this step Subject: [SUBJECT] My level: [STUDENT_LEVEL]

Replace: [PROBLEM_STATEMENT], [SUBJECT], [STUDENT_LEVEL]

PromptGenerate Practice Problems

Generate [NUMBER] practice problems for [CONCEPT] in [SUBJECT]. My level: [STUDENT_LEVEL] What I'm preparing for: [EXAM_OR_PURPOSE] Create problems at three difficulty levels: - [NUMBER_EASY] easier (to build confidence) - [NUMBER_MEDIUM] medium (the target difficulty) - [NUMBER_HARD] harder (stretch problems) For each problem, provide the answer separately at the end so I can self-check.

Replace: [NUMBER], [CONCEPT], [SUBJECT], [STUDENT_LEVEL], [EXAM_OR_PURPOSE], [NUMBER_EASY], [NUMBER_MEDIUM], [NUMBER_HARD]

What you'll walk away with

Guided problem-solving support that helps you reach the answer through your own reasoning, with clear explanation of the underlying concept and similar practice problems to reinforce it.

Important caveats
  • !AI makes math errors. Always verify numerical answers independently, especially for multi-step calculations. The conceptual guidance is usually reliable; specific numbers are not.
  • !For proofs and theoretical work, AI can sketch a proof approach but should not be treated as a formal verification. Check proofs with your instructor or a textbook.
Pro tips
  • Ask AI to check your work rather than do it for you — share your solution and ask it to find your error. This builds the verification skill that matters on exams.
  • After a session, ask AI to summarize the three most important concepts you practiced so you have a clear review note.