Update prompts/main_prompt.py

prompts/main_prompt.py

@@ -1,80 +1,65 @@
 MAIN_PROMPT = """
 Module 7: Understanding Non-Proportional Relationships
+
 Task Introduction
 "Welcome to this module on understanding non-proportional relationships! In this module, you’ll explore why certain relationships are not proportional, identify key characteristics, and connect these ideas to algebraic thinking. Let’s dive into some problems to analyze!"
-Problems:
-Problem 1: Ali drives at an average rate of 25 miles per hour for 3 hours to get to his house from work. How long will it take him if he is able to average 50 miles per hour?
-Problem 2: Tugce’s cell phone service charges her $22.50 per month for phone service, plus $0.35 for each text she sends or receives. Last month, she sent or received 30 texts, and her bill was $33. How much will she pay if she sends or receives 60 texts this month?
-Problem 3: Ali and Deniz both go for a run. When they run, both run at the same rate. Today, they started at different times. Ali had run 3 miles when Deniz had run 2 miles. How many miles had Deniz run when Ali had run 6 miles?
-Step-by-Step Prompts for Analysis
-1. Problem 1: Inverse Proportionality
-Initial Prompt:
-"Let’s start with Problem 1. Is the relationship between speed and time proportional? Why or why not?"
-Hints for Teachers Who Are Stuck:
-First Hint: "Think about the relationship between speed and time. If Ali increases his speed, what happens to the time taken? Does this follow a direct proportional relationship?"
-Second Hint: "Consider whether the ratio of miles to hours remains constant. What do you observe when Ali drives faster?"
-If the Teacher Provides a Partially Correct Answer:
-"You mentioned that as speed increases, time decreases—great observation! Does this indicate a proportional or inverse relationship?"
-If the Teacher Provides an Incorrect Answer:
-"It seems like there’s a misunderstanding. Remember, in a proportional relationship, as one quantity increases, the other also increases proportionally. Here, as speed increases, time decreases. What does this tell you?"
-If still incorrect: "The correct answer is that this is an inverse relationship because increasing speed results in a decrease in time, which is not proportional."
-If the Teacher Provides a Correct Answer:
-"Excellent! You correctly identified that this is an inverse relationship—more speed means less time. This isn’t proportional because the ratio between speed and time isn’t constant."
-2. Problem 2: Non-Proportional Linear Relationship
-Initial Prompt:
-"Let’s analyze Problem 2. Is the relationship between the number of texts and the total bill proportional? Why or why not?"
-Hints for Teachers Who Are Stuck:
-First Hint: "Think about the initial cost of $22.50. Does this fixed amount affect whether the relationship is proportional?"
-Second Hint: "Consider if doubling the number of texts would double the total bill. What impact does the monthly fee have on the proportionality?"
-If the Teacher Provides a Partially Correct Answer:
-"You’ve noticed the fixed monthly cost—great! Does this initial cost allow for a proportional relationship between texts and total cost?"
-If the Teacher Provides an Incorrect Answer:
-"It seems like there’s a mix-up. A proportional relationship would mean no fixed starting point. Since there’s a $22.50 monthly fee, does this relationship pass through the origin on a graph?"
-If still incorrect: "The correct answer is no, it’s not proportional. The fixed cost means the relationship doesn’t start at zero; it has a y-intercept, making it a non-proportional linear relationship."
-If the Teacher Provides a Correct Answer:
-"Well done! You identified that the fixed monthly cost means this relationship isn’t proportional, as it doesn’t start at zero. Let’s explore this graphically."
-Graphical Exploration:
-"Let’s graph this relationship. Use an online tool like Desmos Graphing Calculator to plot the equation y = 22.50 + 0.35x and y = 0.35x. What differences do you observe?"
-Follow-Up Prompt:
-"Why does one graph pass through the origin and the other does not? What does this tell you about the proportionality of each equation?"
-3. Problem 3: Additive Relationship
-Initial Prompt:
-"Now, let’s look at Problem 3. Is the relationship between the miles Ali and Deniz run proportional? Why or why not?"
-Hints for Teachers Who Are Stuck:
-First Hint: "Think about whether the difference in miles remains constant as they run. Is this difference additive or multiplicative?"
-Second Hint: "If Ali always has a one-mile lead, does that suggest a proportional relationship or a consistent additive difference?"
-If the Teacher Provides a Partially Correct Answer:
-"You noticed the consistent lead Ali has—great observation! Does this constant difference imply a proportional or additive relationship?"
-If the Teacher Provides an Incorrect Answer:
-"It seems like there’s a misconception. Proportional relationships involve multiplication, while here, the difference is additive. Can you see why this isn’t proportional?"
-If still incorrect: "The correct answer is that this relationship is additive—not proportional. Ali is always one mile ahead of Deniz, regardless of how far they run."
-If the Teacher Provides a Correct Answer:
-"Excellent! You correctly identified that this relationship is additive, not proportional. Ali is always one mile ahead, which is a constant difference."
-Reflection and Discussion Prompts
-Key Characteristics:
-"What are the key characteristics that distinguish proportional relationships from non-proportional ones in these problems?"
-Graphical Analysis:
-"How can graphing these relationships help students understand whether they are proportional or not?"
-Pedagogical Insights:
-"Why is it important to expose students to both proportional and non-proportional relationships to develop a deeper understanding of ratios and proportions?"
-Problem Posing Activity
-Task Introduction
-"Now it’s your turn to create three non-proportional problems similar to the ones we just explored. Write each problem and explain why the relationship is not proportional."
-Prompts to Guide Problem Posing:
-"Think about situations where a fixed starting value, additive differences, or inverse relationships might appear. How can you illustrate these through real-world contexts?"
-AI Evaluation Prompts
-Evaluating Problem Feasibility:
-"Does your problem clearly demonstrate a non-proportional relationship? For example, does it involve a fixed cost, an additive difference, or an inverse relationship?"
-Feedback:
-If Feasible: "Great problem! It clearly illustrates a non-proportional relationship and encourages critical thinking."
-If Not Feasible: "Your problem might need revision. For example, ensure there’s a clear reason why the relationship isn’t proportional. How could you adjust it?"
-Summary Prompts
-Content Knowledge
-"We explored non-proportional relationships, distinguishing them from proportional ones by analyzing characteristics like inverse relationships, fixed costs, and additive differences."
-Creativity-Directed Practices
-"We applied mathematical generalization and extension, thinking creatively about how different equations represent proportional and non-proportional relationships."
-Pedagogical Content Knowledge
-"We discussed how to guide students in understanding proportionality by exploring non-examples, reinforcing their conceptual understanding through contrast."
 
+🚀 **Problems:**
+**Problem 1:** Ali drives at an average rate of 25 miles per hour for 3 hours to get to his house from work. How long will it take him if he is able to average 50 miles per hour?
+**Problem 2:** Tugce’s cell phone service charges her $22.50 per month for phone service, plus $0.35 for each text she sends or receives. Last month, she sent or received 30 texts, and her bill was $33. How much will she pay if she sends or receives 60 texts this month?
+**Problem 3:** Ali and Deniz both go for a run. When they run, both run at the same rate. Today, they started at different times. Ali had run 3 miles when Deniz had run 2 miles. How many miles had Deniz run when Ali had run 6 miles?
+
+💡 **Before receiving guidance, explain your reasoning for each problem.**
+🚀 **Let's start with Problem 1. What do you think—Is the relationship between speed and time proportional? Why or why not?**
+"""
 
+def get_prompt_for_problem(problem_number):
+    if problem_number == "1":
+        return """
+### **Problem 1: Ali's Driving Speed**  
+Great! Let’s analyze the relationship between speed and time.  
+📌 **Before we discuss, explain your reasoning:**  
+- How do you determine if a relationship is proportional?  
+- What happens to travel time when speed increases?  
+✏️ **Describe your thought process first.** I will ask follow-up questions before offering hints or solutions.
 """
+    
+    elif problem_number == "2":
+        return """
+### **Problem 2: Tugce's Cell Phone Bill**  
+Nice choice! Let’s break this down step by step.  
+📌 **Before we discuss, explain your reasoning:**  
+- What is the fixed charge in the bill, and why does it matter?  
+- How does the cost per text affect proportionality?  
+✏️ **Describe your thought process first.** I will ask follow-up questions before offering hints or solutions.
+"""
+    
+    elif problem_number == "3":
+        return """
+### **Problem 3: Ali and Deniz's Running**  
+Good thinking! Let’s explore the relationship between their distances.  
+📌 **Before we discuss, explain your reasoning:**  
+- If both run at the same rate, why does their distance differ?  
+- How can we determine the pattern in their distances over time?  
+✏️ **Describe your thought process first.** I will ask follow-up questions before offering hints or solutions.
+"""
+    
+    return "I didn’t understand your choice. Please select Problem 1, 2, or 3."
+
+def get_feedback_for_problem(problem_number, teacher_response):
+    if problem_number == "1":
+        if "inverse" in teacher_response.lower():
+            return "Good observation! Since speed and time vary inversely, increasing speed decreases time. Can you verify if the ratio stays constant?"
+        return "Think about what happens to travel time when speed increases. Does the ratio between speed and time remain fixed?"
+
+    elif problem_number == "2":
+        if "fixed charge" in teacher_response.lower() and "$22.50" in teacher_response.lower():
+            return "Great insight! The fixed charge prevents proportionality. How does the per-text charge fit into this?"
+        return "What happens if the number of texts is zero? Does the total cost still change? Why?"
+    
+    elif problem_number == "3":
+        if "constant difference" in teacher_response.lower():
+            return "Nice thinking! The key here is the additive nature of their distances. Can you determine the difference at another point in time?"
+        return "Since they run at the same speed but started at different times, how does that affect their distances?"
+    
+    return "Interesting approach! Could you clarify your reasoning a bit more?"