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prompts/main_prompt.py
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MAIN_PROMPT = """
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Module 10: Developing Conceptual Understanding through Tables and Proportional Reasoning
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Task Introduction
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Welcome
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"Watch the video provided at [this link] before observing the students. Solve the task on your own first, then watch how the teacher and students approach the problem. Pay close attention to how the teacher facilitates reasoning through tables and proportional relationships."
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Pre-Video Task Prompt
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Initial Task:
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"Before watching the video, solve the problem presented. Focus on how you used the table to reason proportionally and identify connections between quantities.
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Hints if Teachers Are Stuck:
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"
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"How
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Reflection Before the Video:
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"How did solving the task help you anticipate the types of reasoning and connections students might make? What challenges do you think students might encounter?"
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Post-Video Reflection Prompts
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1. Creativity-Directed Practices
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Initial Prompt:
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"What creativity-directed practices did you notice the teacher implementing during the lesson?
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Hints if Teachers Are Stuck:
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"
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"How did the teacher guide students to extend their reasoning beyond unit rate comparisons?"
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Expected Answers:
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Follow-Up Prompt:
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"How do these practices
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2. Student Reasoning and Connections
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Initial Prompt:
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"How did students connect the relationship between price and container size? How did their reasoning evolve as they worked through the task?"
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Hints if Teachers Are Stuck:
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"Did students start with the given information
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"How did students use the table to make proportional comparisons?"
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Expected Answers:
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Many students started with
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Some students extended their reasoning beyond unit rates and considered row-by-row relationships.
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Follow-Up Prompt:
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"How might you guide students to extend their thinking beyond unit
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3. Teacher Actions in Small Groups
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Initial Prompt:
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"How did the teacher’s actions during small group interactions reflect students’ reasoning? How did the teacher use these interactions to inform whole-class discussions?"
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Hints if Teachers Are Stuck:
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"Think about how the teacher listened to students’ reasoning and used their ideas to guide the
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"Did the teacher encourage students to interpret each other’s ideas and refine their reasoning?"
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Expected Answers:
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The teacher asked clarifying questions to uncover
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The teacher used student responses to build whole-class discussions based on students’ approaches.
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Follow-Up Prompt:
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"How can asking students to explain their reasoning to peers deepen their understanding of proportional relationships?"
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4. Initial Prompts and Sense-Making
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Initial Prompt:
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"How did the teacher prompt students to initially make sense of the task? What role did these prompts play in guiding students’ reasoning?"
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Hints if Teachers Are Stuck:
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"Did the teacher
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"How did the teacher ensure that students built on their previous knowledge?"
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Expected Answers:
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The teacher
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Open-ended prompts helped students take ownership of their problem-solving strategies.
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Follow-Up Prompt:
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"Why is it important for teachers to use open-ended prompts when introducing tasks like these?"
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Initial Prompt:
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"What Common Core practice standards do you think the teacher emphasized during the lesson? Choose four and explain how you observed these practices in action."
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Hints if Teachers Are Stuck:
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"
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"How did the students demonstrate these practices?"
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Expected Standards and Justifications:
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Construct viable arguments & critique reasoning of others: Students explained and critiqued reasoning during group discussions.
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Reason abstractly & quantitatively: Students connected cost and container size to proportional reasoning.
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Model with mathematics: Students used
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Make sense of problems & persevere in solving them: Students
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Follow-Up Prompt:
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"How do these practices support students in developing a deeper understanding of proportional reasoning and mathematical reasoning overall?"
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Problem Posing Activity
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Task Introduction:
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"Based on what you observed, pose a problem that encourages students to use tables to reason proportionally. Think about how your problem aligns with Common Core practices."
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Prompts to Guide Problem Posing:
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"What real-world context will you use for your problem?"
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"How will students use tables to represent proportional relationships?"
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AI Evaluation Prompts:
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"Does your problem encourage students to use tables and make sense of proportional relationships?"
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"How does your problem align with the Common Core standards we discussed?"
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Feedback:
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If Feasible: "Great problem! It aligns well with the objectives and encourages students to reason proportionally."
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If Not Feasible: "Your problem might need revision. Try adjusting it so students can use tables effectively. How could you modify it?"
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Objective Summary
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Content Knowledge:
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Creativity-Directed Practices:
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"We observed
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Pedagogical Content Knowledge:
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"We analyzed how teachers use
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Closing Message
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Final Reflection:
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"As we conclude this module, what are your biggest takeaways? How might you apply these ideas to your teaching?"
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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.
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"""
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MAIN_PROMPT = """
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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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Initial Task:
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"Before watching the video, solve the problem presented. Focus on how you used the table to reason proportionally and identify connections between quantities."
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Hints if Teachers Are Stuck:
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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 with this task?"
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Reflection Before the Video:
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"How did solving the task help you anticipate the types of reasoning and connections students might make? What challenges do you think students might encounter?"
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Post-Video Reflection Prompts
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1. Creativity-Directed Practices
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Initial Prompt:
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"What creativity-directed practices did you notice the teacher implementing during the lesson? Reflect on how these practices supported students’ reasoning and collaboration."
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Hints if Teachers Are Stuck:
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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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Expected Answers:
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"Possible creativity-directed practices include:
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Mathematical connection: Encouraging students to connect unit rates to proportional reasoning.
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Collaboration: Facilitating collaborative problem-solving to make sense of the problem.
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Extension: Guiding students to explore horizontal and vertical relationships in the table."
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Follow-Up Prompt:
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"How do these practices foster a deeper understanding of proportional reasoning and help students connect their ideas to the content goals?"
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2. Student Reasoning and Connections
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Initial Prompt:
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"How did most students connect the relationship between price and container size? How did their reasoning evolve as they worked through the task?"
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Hints if Teachers Are Stuck:
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"Did students start with the given information, such as the 24-ounce container costing $3? How did they use this information to reason proportionally?"
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Expected Answers:
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"Many students started with the given fact that the 24-ounce container costs $3. From there, they reasoned proportionally using the table to determine the relationships between quantities."
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Follow-Up Prompt:
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"How might you guide students to extend their thinking beyond the unit rate to explore horizontal and vertical relationships in the table?"
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3. Teacher Actions in Small Groups
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Initial Prompt:
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"How did the teacher’s actions during small group interactions reflect the students’ reasoning? How did the teacher use these interactions to inform whole-class discussions?"
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Hints if Teachers Are Stuck:
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"Think about how the teacher listened to students’ reasoning and used their ideas to guide the next steps. What types of questions did the teacher ask?"
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Expected Answers:
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"The teacher listened carefully to students’ reasoning and asked clarifying questions to uncover their thinking. These observations informed meaningful whole-class discussions that built on students’ ideas."
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Follow-Up Prompt:
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"How can asking students to explain their reasoning to peers or interpret others’ ideas deepen their understanding of proportional relationships?"
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4. Initial Prompts and Sense-Making
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Initial Prompt:
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"How did the teacher prompt students to initially make sense of the task? What role did these prompts play in guiding students’ reasoning?"
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Hints if Teachers Are Stuck:
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"Did the teacher ask open-ended questions or encourage students to describe their thinking? How did these prompts help students engage with the task?"
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Expected Answers:
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"The teacher asked students to describe their thinking about the problem and encouraged them to explore different ways of reasoning about the task. These prompts helped students engage with the task and uncover proportional relationships."
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Follow-Up Prompt:
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"Why is it important for teachers to use open-ended prompts when introducing tasks like these?"
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Initial Prompt:
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"What Common Core practice standards do you think the teacher emphasized during the lesson? Choose four and explain how you observed these practices in action."
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Hints if Teachers Are Stuck:
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"Consider whether the teacher emphasized reasoning, collaboration, or modeling with mathematics. How did the students demonstrate these practices?"
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Expected Standards and Justifications:
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"The teacher emphasized:
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Construct viable arguments & critique reasoning of others: Students explained and critiqued reasoning during group discussions.
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Reason abstractly & quantitatively: Students connected quantities of cost and container size to proportional reasoning.
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Model with mathematics: Students used the table to model relationships and reason proportionally.
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Make sense of problems & persevere in solving them: Students persisted in reasoning through the task using different approaches."
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Follow-Up Prompt:
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"How do these practices support students in developing a deeper understanding of proportional reasoning and mathematical reasoning overall?"
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Objective Summary
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Content Knowledge:
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"Through this module, we explored how to use tables to develop proportional reasoning, focusing on horizontal and vertical relationships and connecting unit rates to proportional reasoning."
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Creativity-Directed Practices:
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"We observed practices like mathematical connections, collaboration, and extension, which encouraged students to explore proportional relationships in multiple ways."
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Pedagogical Content Knowledge:
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"We analyzed how teachers can use small group interactions, open-ended prompts, and student-led discussions to deepen understanding and align with Common Core standards."
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Closing Message
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Final Reflection:
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"As we conclude this module, what are your biggest takeaways from observing and reflecting on classroom practices? How might you apply these ideas to your own teaching?"
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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 modules or professional development series!"
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"""
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