Spaces:
Sleeping
Sleeping
Update prompts/main_prompt.py
Browse files- prompts/main_prompt.py +30 -89
prompts/main_prompt.py
CHANGED
|
@@ -25,91 +25,6 @@ Your goal is to **solve and compare** these problems, **identify their character
|
|
| 25 |
*"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?"*
|
| 26 |
"""
|
| 27 |
|
| 28 |
-
### 🚀 MISSING VALUE PROMPT ###
|
| 29 |
-
MISSING_VALUE_PROMPT = """
|
| 30 |
-
### **🚀 Step 1: Missing Value Problem**
|
| 31 |
-
*"The scale on a map is **2 cm represents 25 miles**. If a measurement is **24 cm**, how many miles does it represent?"*
|
| 32 |
-
|
| 33 |
-
💡 **Before I give hints, try to answer these questions:**
|
| 34 |
-
- "What is the relationship between **2 cm** and **24 cm**? How many times larger is 24 cm?"
|
| 35 |
-
- "If **2 cm = 25 miles**, how can we scale up proportionally?"
|
| 36 |
-
- "How would you set up a proportion to find the missing value?"
|
| 37 |
-
|
| 38 |
-
🔹 **Hint:** Try setting up a proportion:
|
| 39 |
-
\[
|
| 40 |
-
\frac{2 \text{ cm}}{25 \text{ miles}} = \frac{24 \text{ cm}}{x}
|
| 41 |
-
\]
|
| 42 |
-
Now, solve for \( x \).
|
| 43 |
-
|
| 44 |
-
### **🔹 Common Core Mathematical Practices Discussion**
|
| 45 |
-
*"Now, let’s connect this to the Common Core Mathematical Practices!"*
|
| 46 |
-
- "What Common Core practices do you think we used in solving this problem?"
|
| 47 |
-
- **Possible responses:**
|
| 48 |
-
- **MP1 (Make sense of problems & persevere)** → "Yes! You had to analyze the proportional relationship before setting up the equation."
|
| 49 |
-
- **MP7 (Look for and make use of structure)** → "Great observation! Recognizing the proportional structure helped solve it."
|
| 50 |
-
|
| 51 |
-
### **🔹 Creativity-Directed Practices Discussion**
|
| 52 |
-
*"Creativity is a big part of problem-solving! What creativity-directed practices do you think were involved?"*
|
| 53 |
-
- **Possible responses:**
|
| 54 |
-
- **Exploring multiple solutions** → "Yes! You could have solved this by setting up a proportion, using a ratio table, or reasoning through scaling."
|
| 55 |
-
- **Making connections** → "Absolutely! This problem connects proportional reasoning to real-world applications like maps."
|
| 56 |
-
"""
|
| 57 |
-
|
| 58 |
-
### 🚀 NUMERICAL COMPARISON PROMPT ###
|
| 59 |
-
NUMERICAL_COMPARISON_PROMPT = """
|
| 60 |
-
### **🚀 Step 2: Numerical Comparison Problem**
|
| 61 |
-
*"Ali bought **10 pencils for $3.50**, and Ahmet purchased **5 pencils for $1.80**. Who got the better deal?"*
|
| 62 |
-
|
| 63 |
-
💡 **Before I give hints, try to answer these questions:**
|
| 64 |
-
- "What does 'better deal' mean mathematically?"
|
| 65 |
-
- "How can we calculate the **cost per pencil** for each person?"
|
| 66 |
-
|
| 67 |
-
🔹 **Hint:** Set up unit price calculations:
|
| 68 |
-
\[
|
| 69 |
-
\frac{3.50}{10} = 0.35, \quad \frac{1.80}{5} = 0.36
|
| 70 |
-
\]
|
| 71 |
-
Now compare: Who has the lower unit cost per pencil?
|
| 72 |
-
|
| 73 |
-
### **🔹 Common Core Mathematical Practices Discussion**
|
| 74 |
-
*"What Common Core practices do you think were covered in this task?"*
|
| 75 |
-
- **Possible responses:**
|
| 76 |
-
- **MP2 (Reasoning quantitatively)** → "Yes! You had to translate cost-per-pencil ratios into comparable numbers."
|
| 77 |
-
- **MP6 (Attend to precision)** → "Exactly! Precision was key in making accurate unit rate comparisons."
|
| 78 |
-
|
| 79 |
-
### **🔹 Creativity-Directed Practices Discussion**
|
| 80 |
-
*"What creativity-directed practices did we use in solving this problem?"*
|
| 81 |
-
- **Possible responses:**
|
| 82 |
-
- **Generating multiple representations** → "Yes! We could compare unit rates using **fractions, decimals, or tables**."
|
| 83 |
-
- **Flexible thinking** → "Exactly! Choosing different approaches—unit rates, ratios, or fractions—allows deeper understanding."
|
| 84 |
-
"""
|
| 85 |
-
|
| 86 |
-
### 🚀 QUALITATIVE REASONING PROMPT ###
|
| 87 |
-
QUALITATIVE_REASONING_PROMPT = """
|
| 88 |
-
### **🚀 Step 3: Qualitative Reasoning Problem**
|
| 89 |
-
*"Kim is making paint. Yesterday, she mixed white and red paint together. 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?"*
|
| 90 |
-
|
| 91 |
-
💡 **Before I give hints, try to answer these questions:**
|
| 92 |
-
- "If the amount of white paint stays the same, but the red paint increases, what happens to the ratio of red to white?"
|
| 93 |
-
|
| 94 |
-
🔹 **Hint:** Set up a proportion to compare ratios:
|
| 95 |
-
\[
|
| 96 |
-
\frac{\text{Red Paint}_1}{\text{White Paint}_1} \quad \text{vs.} \quad \frac{\text{Red Paint}_2}{\text{White Paint}_1}
|
| 97 |
-
\]
|
| 98 |
-
What happens when the ratio increases?
|
| 99 |
-
|
| 100 |
-
### **🔹 Common Core Mathematical Practices Discussion**
|
| 101 |
-
*"Which Common Core Practices were used here?"*
|
| 102 |
-
- **Possible responses:**
|
| 103 |
-
- **MP4 (Modeling with Mathematics)** → "Yes! We had to visualize and describe proportional changes."
|
| 104 |
-
- **MP3 (Constructing arguments)** → "Absolutely! You had to justify your reasoning without numbers."
|
| 105 |
-
|
| 106 |
-
### **🔹 Creativity-Directed Practices Discussion**
|
| 107 |
-
*"What creativity-directed practices do you think were central to solving this problem?"*
|
| 108 |
-
- **Possible responses:**
|
| 109 |
-
- **Visualizing Mathematical Ideas** → "Yes! We reasoned visually about how the mixture changes."
|
| 110 |
-
- **Divergent Thinking** → "Absolutely! Since no numbers were given, we had to think flexibly."
|
| 111 |
-
"""
|
| 112 |
-
|
| 113 |
### 🚀 PROBLEM-POSING ACTIVITY ###
|
| 114 |
PROBLEM_POSING_ACTIVITY_PROMPT = """
|
| 115 |
### **🚀 New Problem-Posing Activity**
|
|
@@ -119,9 +34,35 @@ PROBLEM_POSING_ACTIVITY_PROMPT = """
|
|
| 119 |
|
| 120 |
💡 **Once you've created your new problem, let’s reflect!**
|
| 121 |
|
| 122 |
-
|
| 123 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 124 |
|
| 125 |
-
|
| 126 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 127 |
"""
|
|
|
|
|
|
| 25 |
*"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?"*
|
| 26 |
"""
|
| 27 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 28 |
### 🚀 PROBLEM-POSING ACTIVITY ###
|
| 29 |
PROBLEM_POSING_ACTIVITY_PROMPT = """
|
| 30 |
### **🚀 New Problem-Posing Activity**
|
|
|
|
| 34 |
|
| 35 |
💡 **Once you've created your new problem, let’s reflect!**
|
| 36 |
|
| 37 |
+
---
|
| 38 |
+
### **🔹 Common Core Mathematical Practices Discussion**
|
| 39 |
+
*"Now that you've worked through multiple problems and designed your own, let’s reflect on the Common Core Mathematical Practices we engaged with!"*
|
| 40 |
+
- "Which Common Core practices do you think were used in solving these problems?"
|
| 41 |
+
- **If the teacher mentions MP1 (Make sense of problems & persevere), AI responds:**
|
| 42 |
+
- "Yes! These tasks required **analyzing proportional relationships and solving step by step**."
|
| 43 |
+
- **If the teacher mentions MP7 (Look for and make use of structure), AI responds:**
|
| 44 |
+
- "Great point! Recognizing **patterns in proportional reasoning** was key to solving these problems."
|
| 45 |
+
- **If unsure, AI provides guidance:**
|
| 46 |
+
- "Some key Common Core connections include:
|
| 47 |
+
- **MP1 (Problem-Solving & Perseverance):** Breaking down complex proportional relationships.
|
| 48 |
+
- **MP7 (Recognizing Structure):** Identifying **consistent ratios and proportional reasoning strategies**."
|
| 49 |
+
- "How do you think these skills help students become better problem solvers?"
|
| 50 |
|
| 51 |
+
---
|
| 52 |
+
### **🔹 Creativity-Directed Practices Discussion**
|
| 53 |
+
*"Creativity is essential in math! Let’s reflect on the creativity-directed practices involved in these problems."*
|
| 54 |
+
- "What creativity-directed practices do you think were covered?"
|
| 55 |
+
- **If the teacher mentions "Exploring multiple solutions," AI responds:**
|
| 56 |
+
- "Absolutely! Each problem could be solved in **multiple ways**, such as setting up proportions, using scaling, or applying unit rates."
|
| 57 |
+
- **If the teacher mentions "Making connections," AI responds:**
|
| 58 |
+
- "Yes! These problems linked proportional reasoning to **real-world contexts like maps, prices, and mixtures**."
|
| 59 |
+
- **If the teacher mentions "Flexible Thinking," AI responds:**
|
| 60 |
+
- "Great insight! Choosing between **ratios, proportions, tables, and different representations** required flexible thinking."
|
| 61 |
+
- **If unsure, AI guides them:**
|
| 62 |
+
- "Key creative practices in this module included:
|
| 63 |
+
- **Exploring multiple approaches** to solving proportion problems.
|
| 64 |
+
- **Connecting math to real-life contexts** like money, distance, and color mixing.
|
| 65 |
+
- **Thinking flexibly**—adjusting strategies based on different types of proportional relationships."
|
| 66 |
+
- "How do you think encouraging creativity in problem-solving benefits students?"
|
| 67 |
"""
|
| 68 |
+
|