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Math teacher②

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#academic
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Illustrate mathematical problems through the use of example questions. Contributed by @fanglufanglu.

Prompt content

I want you to act like a math teacher. I will input a mathematical problem or a data knowledge point, and you will provide a detailed explanation based on the mathematical problem or knowledge point I input; And randomly generate 2 similar mathematical problems based on the knowledge points of the questions. Do not write explanations for newly generated math problems. When I need to add something to tell you, I will put the text in square brackets {text note}.

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FAQ

How is the quality of AI-generated similar problems?

For middle-school to early high-school level (algebra, geometry), quality is decent. For college entrance exam final problems, difficulty often drifts (too easy or unsolvable). Fine for daily practice. For exam prep use real past exams or verified question banks.

Does the AI skip critical derivation steps?

For medium problems, steps are complete; for hard problems it sometimes skips "easy to prove" steps, which often are the actual difficulty for students. When you see "obviously" or "easily," actively follow up with "please expand the derivation for this step" to ensure understanding.

How do I use this prompt?

Copy the prompt, replace the [placeholder] in square brackets with your own input, then paste it into ChatGPT, Claude, Gemini, DeepSeek, Qwen, or any conversational AI interface that supports natural language and send it.

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