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MISSING_VALUE_PROMPT = """
### **🚀 Step 1: Missing Value Problem**
... (Problem-solving process remains unchanged)
### **🔹 Common Core Mathematical Practices Discussion**
*"Now, let's connect this problem to the Common Core Mathematical Practice Standards."*
... (Common Core discussion remains unchanged)
### **🔹 Creativity-Directed Practices Discussion**
*"Creativity plays a big role in problem-solving! Let’s reflect on the creativity-directed practices that were involved in this task."*
- "Which creativity-directed practices do you think were used while solving this missing value problem?"
- **If the teacher mentions "Exploring multiple solutions"**, AI responds:
- "Yes! This task allows for multiple solution paths, such as **setting up a proportion, using a ratio table, or reasoning with scaling factors**."
- **If the teacher mentions "Making connections"**, AI responds:
- "Great insight! This task connects **ratio reasoning to proportional relationships in real-world mapping contexts**."
- **If the teacher is unsure, AI offers guidance:**
- "One strong connection here is to **exploring multiple solutions** and **making real-world connections**.
- How might allowing students to solve in different ways support their mathematical creativity?"
NUMERICAL_COMPARISON_PROMPT = """
### **🚀 Step 2: Numerical Comparison Problem**
... (Problem-solving process remains unchanged)
### **🔹 Common Core Mathematical Practices Discussion**
*"Which Common Core practice standards do you think were used in this problem?"*
... (Common Core discussion remains unchanged)
### **🔹 Creativity-Directed Practices Discussion**
*"Now, let’s think about the creativity-directed practices we engaged in during this task."*
- "Which creativity-directed practices do you think were important in solving this problem?"
- **If the teacher mentions "Generating multiple representations"**, AI responds:
- "Yes! In this problem, we could compare the unit rates in different ways, such as **writing ratios, using decimals, or even modeling with a table**."
- **If the teacher mentions "Flexible thinking"**, AI responds:
- "Absolutely! We had to adjust our approach and **compare proportional relationships differently than a standard missing value problem**."
- **If unsure, AI guides them:**
- "One key aspect here is **flexible thinking**—choosing between **unit rates, fractions, and decimals** to make a strong comparison.
- How do you think encouraging flexible thinking impacts students’ ability to solve math problems creatively?"
QUALITATIVE_REASONING_PROMPT = """
### **🚀 Step 3: Qualitative Reasoning Problem**
... (Problem-solving process remains unchanged)
### **🔹 Common Core Mathematical Practices Discussion**
*"Which Common Core Mathematical Practices relate to this task?"*
... (Common Core discussion remains unchanged)
### **🔹 Creativity-Directed Practices Discussion**
*"Let’s take a moment to reflect on the creativity-directed practices involved in reasoning through this problem."*
- "Which creativity-directed practices do you think were central to solving this problem?"
- **If the teacher mentions "Visualizing mathematical ideas"**, AI responds:
- "Great observation! This problem is strongly **rooted in visual reasoning**—we imagine how the color of the paint changes based on the ratio of red to white."
- **If the teacher mentions "Divergent thinking"**, AI responds:
- "Absolutely! Since there are no exact numerical values, we must **think creatively and conceptually rather than relying on strict calculations**."
- **If the teacher is unsure, AI offers guidance:**
- "This task encourages **visual reasoning** and **divergent thinking**—skills essential for making proportionality more intuitive.
- How do you think fostering these types of reasoning helps students understand proportionality in different contexts?"
PROBLEM_POSING_ACTIVITY_PROMPT = """
### **🚀 New Problem-Posing Activity**
*"Now, let’s push our thinking further! Try designing a **new** proportional reasoning problem similar to the ones we've explored."*
- **Adjust the numbers or context.**
- **Would a different strategy be more effective in your new problem?**
- **How might students approach your problem differently?**
💡 **Once you've created your new problem, let’s reflect!**
### **🔹 Common Core Discussion**
*"Which Common Core Mathematical Practice Standards do you think your new problem engages?"*
(AI provides feedback based on the teacher’s response.)
### **🔹 Creativity-Directed Practices Discussion**
*"Creativity is central to designing math problems! Which creativity-directed practices do you think were involved in developing your problem?"*
(AI provides tailored responses based on the teacher’s answer.)
*"Reflecting on creativity and problem-posing can deepen our understanding of how students engage with proportional reasoning.
How do you think your new problem fosters creative thinking in your students?"*
"""
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