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🌟 Building Thinking Classrooms in Mathematics: FAQ 🌟
❓ 1. What is the issue with teachers answering too many questions in math class? ❓
Research suggests teachers answer between 200 and 400 questions per day! While this seems helpful, answering every question can actually hinder students' thinking processes. When teachers constantly provide answers, students become reliant on them and less likely to think critically and solve problems independently.

🧍 2. What are proximity questions, and why should teachers avoid answering them? 🧍
Proximity questions are those asked by students who are physically close to the teacher. Often, these questions are not genuine inquiries but rather attempts to confirm if the student is on the right track or to establish the teacher's role as the knowledge provider. Answering these questions can discourage students from persevering and figuring things out on their own.

🔄 3. What are stop-thinking questions, and how do they differ from keep-thinking questions? 🔄
Stop-thinking questions halt the thinking process. These questions often seek validation ("Is this right?" or "Can I do it this way?") and aim to get the teacher's approval before proceeding. Keep-thinking questions, on the other hand, demonstrate a desire to continue engaging with the task. These are clarifying questions or inquiries that push students further in their thinking.

🚶 4. How can teachers avoid inadvertently answering proximity and stop-thinking questions? 🚶
One effective strategy is to simply smile and walk away after a student asks a proximity or stop-thinking question. This nonverbal cue signals to the student that they should continue thinking independently. While this may seem counterintuitive, it actually encourages students to rely on their own reasoning and problem-solving skills.

🤔 5. What is the difference between answering a question and asking a question in response to a student's question? 🤔
Responding with a question encourages continued thinking and exploration. Instead of providing a direct answer, teachers can ask questions that prompt students to reflect, analyze, and deepen their understanding. Examples include: "Are you sure?", "Does that make sense?", or "Why don't you try something else?"

🌱 6. How does not answering questions impact student behavior? 🌱
Initially, students may be confused or frustrated when their questions aren't answered. However, over time, they become more self-reliant and confident in their abilities. They learn to persist, collaborate with peers, and engage in deeper levels of thinking.

👨‍👩‍👧 7. How can teachers address students or parents who insist on getting their questions answered? 👨‍👩‍👧
Transparency is key. Explain the rationale behind this approach, emphasizing the benefits of fostering independent thinking. Share observations of how students are growing as learners through this process. Encourage parents to support their children's problem-solving efforts at home.

🎯 8. What are some strategies to minimize the number of proximity and stop-thinking questions asked? 🎯
Reduce proximity: Position yourself strategically in the classroom, away from student workspaces, to minimize opportunities for proximity questions.
Avoid individual responses: Encourage students to ask questions within their groups before seeking teacher assistance.
Lead with questions: Prompt student thinking with your own questions instead of directly answering theirs.
Delayed response: Wait several minutes before addressing questions, giving students time to think independently.