Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -1,64 +1,131 @@
-Great! Let's dive into each problem type one by one and explore them further.
+### 🚀 MAIN PROMPT ###
+MAIN_PROMPT = """
+### **Module 3: Proportional Reasoning Problem Types**  
+#### **Task Introduction**  
+"Welcome to this module on proportional reasoning problem types!  
+Your task is to explore three different problem types foundational to proportional reasoning:  
+1️⃣ **Missing Value Problems**  
+2️⃣ **Numerical Comparison Problems**  
+3️⃣ **Qualitative Reasoning Problems**  
+You will solve and compare these problems, **identify their characteristics**, and finally **create your own problems** for each type.  
+🚀 **Let's begin! Solve each problem and analyze your solution process.**"  
 
 ---
-
+### **🚀 Solve the Following Three Problems**  
 📌 **Problem 1: Missing Value Problem**  
-**Problem:**  
-*"The scale on a map is 2 cm represents 25 miles. If a given measurement on the map is 24 cm, how many miles are represented?"*
-
-### **Solution Strategy:**
-1️⃣ **Understand the Scale:**  
-   - You know that **2 cm** on the map corresponds to **25 miles** in reality.  
-2️⃣ **Set Up a Proportion:**  
-   $$
-   \frac{2 \,\text{cm}}{25 \,\text{miles}} = \frac{24 \,\text{cm}}{x \,\text{miles}}
-   $$  
-3️⃣ **Cross-Multiply and Solve:**  
-   $$
-   2x = 24 \times 25
-   $$  
-4️⃣ **Calculate:**  
-   $$
-   x = \frac{24 \times 25}{2} = 300 \text{ miles}
-   $$  
-**Conclusion:** *24 cm on the map represents **300 miles**.*
+*"The scale on a map is **2 cm represents 25 miles**. If a given measurement on the map is **24 cm**, how many miles are represented?"*  
+
+📌 **Problem 2: Numerical Comparison Problem**  
+*"Ali and Ahmet purchased pencils. Ali bought **10 pencils for $3.50**, and Ahmet purchased **5 pencils for $1.80**. Who got the better deal?"*  
+
+📌 **Problem 3: Qualitative Reasoning Problem**  
+*"Kim is mixing paint. Yesterday, she combined **red and white paint** in a certain ratio. Today, she used **more red paint** but kept the **same amount of white paint**. How will today’s mixture compare to yesterday’s in color?"*  
 
 ---
+### **💬 Let's Discuss!**  
+*"Now that you have seen the problems, let's work through them step by step.*  
+1️⃣ **Which problem do you want to start with?**  
+2️⃣ **What is the first strategy that comes to your mind for solving it?**  
+3️⃣ **Would you like a hint before starting?**  
 
-📌 **Problem 2: Numerical Comparison Problem**  
-**Problem:**  
-*"Ali and Ahmet purchased pencils. Ali bought **10 pencils for $3.50**, and Ahmet purchased **5 pencils for $1.80**. Who got the better deal?"*
-
-### **Solution Strategy:**
-1️⃣ **Calculate the Unit Price for Each:**  
-   $$
-   \text{Cost per pencil for Ali} = \frac{\$3.50}{10} = \$0.35
-   $$  
-   $$
-   \text{Cost per pencil for Ahmet} = \frac{\$1.80}{5} = \$0.36
-   $$  
-2️⃣ **Compare the Unit Prices:**  
-   - **Ali pays \$0.35 per pencil**  
-   - **Ahmet pays \$0.36 per pencil**  
-3️⃣ **Conclusion:** *Ali got the better deal because he paid **less per pencil**.*
+*"Please type your response, and I'll guide you further!"*
+"""
+
+### 🚀 PROBLEM SOLUTIONS ###
+PROBLEM_SOLUTIONS_PROMPT = """
+### **🚀 Step-by-Step Solutions**
+#### **Problem 1: Missing Value Problem**  
+We set up the proportion:  
+$$
+\frac{2 \,\text{cm}}{25 \,\text{miles}} = \frac{24 \,\text{cm}}{x \,\text{miles}}
+$$  
+Cross-multiply:  
+$$
+2 \times x = 24 \times 25
+$$  
+Solve for \( x \):  
+$$
+x = \frac{600}{2} = 300
+$$  
+or using division:  
+$$
+x = 600 \div 2 = 300
+$$  
+**Conclusion:** *24 cm represents **300 miles**.*
 
 ---
+#### **Problem 2: Numerical Comparison Problem**  
+**Calculate unit prices:**  
+$$
+\text{Cost per pencil for Ali} = \frac{\$3.50}{10} = \$0.35
+$$  
+$$
+\text{Cost per pencil for Ahmet} = \frac{\$1.80}{5} = \$0.36
+$$  
+or using the division symbol:  
+$$
+\text{Cost per pencil for Ali} = 3.50 \div 10 = 0.35
+$$  
+$$
+\text{Cost per pencil for Ahmet} = 1.80 \div 5 = 0.36
+$$  
+**Comparison:**  
+- Ali: **\$0.35** per pencil  
+- Ahmet: **\$0.36** per pencil  
 
-📌 **Problem 3: Qualitative Reasoning Problem**  
-**Problem:**  
-*"Kim is mixing paint. Yesterday, she combined **red and white paint** in a certain ratio. Today, she used **more red paint** but kept the **same amount of white paint**. How will today’s mixture compare to yesterday’s in color?"*
+**Conclusion:** *Ali got the better deal because he paid **less per pencil**.*
+
+---
+#### **Problem 3: Qualitative Reasoning Problem**  
+🔹 **Given Situation:**  
+- Yesterday: **Ratio of red to white paint**  
+- Today: **More red, same white**
+
+🔹 **Reasoning:**  
+- Since the amount of **white paint stays the same** but **more red paint is added**, the **red-to-white ratio increases**.
+- This means today’s mixture is **darker (more red)** than yesterday’s.
 
-### **Solution Strategy:**
-1️⃣ **Understand the Change in Ratios:**  
-   - Today, the **amount of red paint has increased**, while **white paint remains constant**.  
-2��⃣ **Qualitative Analysis:**  
-   - Since **the proportion of red paint has increased**, today's mixture will be **more red (darker)** compared to yesterday.
+🔹 **Conclusion:**  
+- *The new paint mixture has a **stronger red color** than before.*
 
 ---
+### **🔹 Common Core Mathematical Practices Discussion**  
+*"Now that you've worked through multiple problems and designed your own, let’s reflect on the Common Core Mathematical Practices we engaged with!"*  
+
+- "Which Common Core practices do you think we used in solving these problems?"  
 
-💬 **Discussion:**  
-✔ **Which problem do you want to start with?**  
-✔ **What is the first strategy that comes to your mind for solving it?**  
-✔ **Would you like a hint before starting?**  
+🔹 **Possible Responses (AI guides based on teacher input):**  
+- **MP1 (Make sense of problems & persevere)** → "These tasks required **analyzing proportional relationships, setting up ratios, and reasoning through different methods**."  
+- **MP2 (Reason abstractly and quantitatively)** → "We had to **think about how numbers and relationships apply to real-world contexts**."  
+- **MP7 (Look for structure)** → "Recognizing **consistent patterns in ratios and proportions** was key to solving these problems."  
+- **If unsure, AI provides guidance:**  
+  - "**MP1 (Problem-Solving & Perseverance):** Breaking down complex proportional relationships."  
+  - "**MP2 (Reasoning Abstractly & Quantitatively):** Thinking flexibly about numerical relationships."  
+  - "**MP7 (Recognizing Structure):** Identifying consistent strategies for problem-solving."  
+  - **"How do you think these skills help students become better problem solvers?"**  
+
+---
+### **🔹 Creativity-Directed Practices Discussion**  
+*"Creativity is essential in math! Let’s reflect on the creativity-directed practices involved in these problems."*  
+
+- "What creativity-directed practices do you think were covered?"  
+
+🔹 **Possible Responses (AI guides based on teacher input):**  
+- **Exploring multiple solutions** → "Each problem allowed for multiple approaches—setting up proportions, using scaling factors, or applying unit rates."  
+- **Making connections** → "These problems linked proportional reasoning to real-world contexts like maps, financial decisions, and color mixing."  
+- **Flexible Thinking** → "You had to decide between **ratios, proportions, and numerical calculations**, adjusting your strategy based on the type of problem."  
+- **If unsure, AI guides them:**  
+  - "**Exploring multiple approaches** to solving proportion problems."  
+  - "**Connecting math to real-life contexts** like money, distance, and color mixing."  
+  - "**Thinking flexibly**—adjusting strategies based on different types of proportional relationships."  
+  - **"How do you think encouraging creativity in problem-solving benefits students?"**  
+
+---
+### **Final Reflection & Next Steps**
+*"Now that we've explored these problem types, let's discuss how you might use them in your own teaching or learning."*  
+- "Which problem type do you think is the most useful in real-world applications?"  
+- "Would you like to try modifying one of these problems to create your own version?"  
+- "Is there any concept you would like further clarification on?"  
 
-Feel free to ask for guidance or clarification on any of the problems!
+*"I'm here to help! Let’s keep the conversation going."*
+"""