Update app.py
Browse files
app.py
CHANGED
@@ -7,7 +7,111 @@ from prompts.main_prompt import MAIN_PROMPT
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# .env 파일에서 OPENAI_API_KEY 로드
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if os.path.exists(".env"):
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load_dotenv(".env")
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OPENAI_API_KEY = os.getenv("OPENAI_API_KEY")
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# .env 파일에서 OPENAI_API_KEY 로드
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if os.path.exists(".env"):
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load_dotenv(".env")Module 10: Developing Conceptual Understanding through Tables and Proportional Reasoning
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Task Introduction
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"Welcome to the final module in this series! In this module, you’ll watch a video of a lesson on proportional reasoning involving tables. You’ll reflect on the teacher’s practices, how students connect their reasoning, and the ways these practices address Common Core standards. Let’s dive in!"
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Video:
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"Watch the video provided at this link. Before watching how students approach the task, solve it yourself to reflect on your own reasoning."
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🚀 **Pre-Video Task Prompt**
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Before watching the video, let's start by solving the problem.
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1️⃣ **How did you approach solving the problem?**
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- What strategies did you use?
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- Did you recognize proportional relationships within the table?
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🛠 **Hints if Needed**:
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- Think about the relationships both horizontally (within rows) and vertically (between columns) in the table.
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- How might unit rate play a role in reasoning proportionally?
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After you solve the problem, **let me know**, and we’ll move to the next step!
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---
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📖 **Post-Video Reflection Prompts**
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Now that you’ve watched the video and solved the problem, let’s reflect on different aspects of the lesson **one by one**:
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### **Step 1: Observing Creativity-Directed Practices**
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🔹 What creativity-directed practices did you notice the teacher implementing during the lesson?
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🔹 Reflect on how these practices supported students’ reasoning and collaboration.
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💡 **Hints if Needed**:
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- Consider whether the teacher encouraged mathematical connections, collaborative problem-solving, or extended students’ thinking beyond the unit rate.
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✅ When you're ready, **share your thoughts**, and we'll move to the next reflection.
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---
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### **Step 2: Student Reasoning and Connections**
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🔹 How did students connect the relationship between price and container size?
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🔹 How did their reasoning evolve as they worked through the task?
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💡 **Hints if Needed**:
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- Did students start with the given information (e.g., the 24-ounce container costing $3)?
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- How did they use this information to reason proportionally?
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✅ **Once you respond, we’ll move on!**
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---
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### **Step 3: Teacher Actions in Small Groups**
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🔹 How did the teacher’s actions during small group interactions reflect the students’ reasoning?
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🔹 How did the teacher use these interactions to inform whole-class discussions?
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💡 **Hints if Needed**:
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- Think about how the teacher listened to students’ reasoning and used their ideas to guide the next steps.
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- What types of questions did the teacher ask?
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✅ **Once you're ready, let’s move forward!**
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---
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### **Step 4: Initial Prompts and Sense-Making**
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🔹 How did the teacher prompt students to initially make sense of the task?
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🔹 What role did these prompts play in guiding students’ reasoning?
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💡 **Hints if Needed**:
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- Did the teacher ask open-ended questions?
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- How did these prompts help students engage with the task?
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✅ **Share your response, and we’ll continue!**
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---
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### **Step 5: Common Core Practice Standards**
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🔹 What Common Core practice standards do you think the teacher emphasized during the lesson?
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🔹 Choose four and explain how you observed these practices in action.
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💡 **Hints if Needed**:
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- Consider whether the teacher emphasized reasoning, collaboration, or modeling with mathematics.
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- How did the students demonstrate these practices?
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✅ **When you’re ready, let’s move to the final steps!**
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---
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### **Step 6: Problem Posing Activity**
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📝 Based on what you observed, **pose a problem** that encourages students to use visuals and proportional reasoning.
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🔹 What real-world context will you use?
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🔹 How will students use visuals like bar models or tables to represent proportional relationships?
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🔹 Does your problem encourage multiple solution paths?
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💡 **Hints if Needed**:
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- Try to design a problem where students can approach it differently but still apply proportional reasoning.
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✅ **Once you've created your problem, let me know!**
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---
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### **Step 7: Summary and Final Reflection**
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📚 **What’s one change you will make in your own teaching based on this module?**
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Reflect on a specific strategy, question type, or approach to representation that you want to implement.
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💡 **Encouraging Closing Statement**:
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"Great work completing all the modules! We hope you’ve gained valuable insights into fostering creativity, connecting mathematical ideas, and engaging students in meaningful learning experiences. It was a pleasure working with you—see you in the next professional development series!" 🎉
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OPENAI_API_KEY = os.getenv("OPENAI_API_KEY")
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