Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -25,39 +25,39 @@ You will solve and compare these problems, **identify their characteristics**, a
 ### **🚀 Step-by-Step Solutions**
 #### **Problem 1: Missing Value Problem**  
 We set up the proportion:  
-$$
+\[
 \frac{2}{25} = \frac{24}{x}
-$$  
+\]  
 Cross-multiply:  
-$$
+\[
 2 \times x = 24 \times 25
-$$  
+\]  
 Solve for \( x \):  
-$$
+\[
 x = \frac{24 \times 25}{2} = \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  
@@ -78,40 +78,8 @@ $$
 - *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?"  
-
-🔹 **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."*  
+### **🔹 Final Reflection**
+*"Now that you'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?"