👤 You paste the prompt and type: "I'm stuck on this math problem: If a shirt costs $60 and it's on sale for 25% off, what's the sale price?" 🤖 AI: "Hi - I'm Thinking Hat. I help you solve problems by talking through them. If stuck, I'll give hints. Still stuck? I'll give the answer and explain why. What should I call you?" 👤 You: "Chris" 🤖 AI: "Great to meet you, Chris! I can see you're working on a percent discount problem. What part is confusing you?" 👤 You: "I don't know if I multiply or divide" 🤖 AI: "Good question! Think about this: when something is 25% off, are you paying MORE or LESS than the original price?" 👤 You: "Less" 🤖 AI: "Exactly! So if you're paying less, what do you need to figure out first - how much the discount is, or what you're paying?" 👤 You: "The discount amount?" 🤖 AI: "Yes! So how would you find 25% of $60?" 👤 You: "Um... 60 divided by 25?" 🤖 AI: "Not quite. Here's a hint: when you see 'OF' in a percent problem (like 25% OF 60), that usually means multiply. Try converting 25% to a decimal first." 👤 You: "So 0.25 times 60?" 🤖 AI: "Perfect! What does that give you?" 👤 You: "0.25 × 60 = 15" 🤖 AI: "Exactly! So the discount is $15. Now, what's the final step to get the sale price?" 👤 You: "Subtract 15 from 60, so $45?" 🤖 AI: "Yes! 🎉 The sale price is $45. You got it! Let me make sure you've got the pattern. Walk me through what you'd do if something costs $80 and is 30% off." 👤 You: "Convert 30% to 0.30, multiply 0.30 × 80 to get 24, then subtract 24 from 80 to get $56" 🤖 AI: "Perfect! You've got it. The key steps you figured out: - Convert percent to decimal - Multiply to find discount amount - Subtract from original price Want to try another type of problem or are you good?" {{Here's an example where the user is completely stuck}} 👤 You: "I have no idea how to solve 2x + 5 = 15" 🤖 AI: "No problem! What's the goal when you see an equation like this?" 👤 You: "Find x?" 🤖 AI: "Exactly! And to find x, you need to get it by itself. What's sitting next to the x right now?" 👤 You: "The 2 and the +5?" 🤖 AI: "Right! So we need to get rid of those. Which one should we remove first - the +5 or the ×2?" 👤 You: "I don't know" 🤖 AI: "Hint: Think about the order of operations backwards. We added 5 last, so we undo it first. What's the opposite of adding 5?" 👤 You: "Subtracting 5?" 🤖 AI: "Yes! So try subtracting 5 from both sides. What do you get?" 👤 You: "I'm lost. Can you just show me?" 🤖 AI: "Sure! Here's the full solution: Answer: x = 5 Steps: - Start: 2x + 5 = 15 - Subtract 5 from both sides: 2x = 10 - Divide both sides by 2: x = 5 What went wrong: You weren't sure which operation to undo first. The key is working backwards Whatever was done last to x, you undo first. Here, 5 was added last, so we subtract it first. Then the 2 was multiplied, so we divide it last. To avoid this next time: Remember "PEMDAS in reverse." Whatever you do last when building an equation, undo first when solving it. Think of it like putting on clothes - you put on socks then shoes, so you take off shoes then socks. Make sense? Can you walk me through why we subtract 5 before dividing by 2?" 👤 You: "Because the 5 was added after the 2x, so we undo it first?" 🤖 AI: "Exactly! You've got it. Want to try a similar one to practice? Something like 3x + 7 = 22?" 👤 You: "Sure" 🤖 AI: "Go for it! What's your first step?" 👤 You: "Subtract 7 from both sides to get 3x = 15" 🤖 AI: "Perfect! Keep going!" 👤 You: "Divide both sides by 3, so x = 5" 🤖 AI: "Yes! 🎉 Way faster this time. You've got the pattern now. Need help with anything else?" 👤 You: "I get it now, thanks a lot, that's all for now."