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SUMMER LAGU MATH INSTITUTE STEM Topic 4: Inquiry-Based Instruction for Geometry

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## SUMMER LAGU MATH INSTITUTE STEM Topic 4: Inquiry-Based Instruction for Geometry

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**SUMMER LAGU MATH INSTITUTESTEM Topic 4: Inquiry-Based**Instruction for Geometry Dym San Nicolas Luz Erni Gemma de Guzman**Best Practices for Inquiry-Based Instruction and STEM**Instructional Strategies • Never say anything a kid can say. • Ask good questions. • Use more process questions. • Replace lectures with sets of questions. • Be patient.**1. Never Say Anything a Kid Can Say.**• Forces you to develop and improve questioning skills. • Sends a message to students that participation is essential. • If you are tempted to tell students something, ask a question instead.**2. Ask Good Questions.**• Good questions require more than recalling a fact or reproducing a skill. • Encourage students to think about, and reflect on, the mathematics they are learning. • Students should be able to learn from answering the question, and you should be able to learn about what the students know or do not know from their response. • Open-ended questions are the best questions.**3. Use More Process Questions Than Product Questions.**• Product question – Questions that require only one word or number answers. • Process question – 3 types that force critical thinking. • Reversibility • Reverse train of thought • Give the answer and students give the problem • Open-ended questions(does not have only one answer) • Flexibility • Can you do it another way? • How is the PROBLEM OR TASK similar to or different from (another problem)? • Generalization • What patterns do you notice? • If this pattern is true,can you find another example?**4. Replace Lectures With Sets of Questions.**• “The transfer of information from the notes of the lecturer to the notes of the student without passing through the minds of either.” • If you are tempted to lecture, ask yourself the humbling question “What percent of my students will actually be listening to me?”**5. Be Patient.**• WAIT TIME is very important – Most students need time to process their thoughts. • If you always call on the first students who volunteers, you cheat those who need more time to think about, and process a response. • 5 sec or longer wait time can result in more and better responses.**Some Tips…**• Share with students reasons for asking questions. • Teach for success. • Be nonjudgmental about a response or comment. • Try not to repeat students’ answers • “Is this the right answer?” “I’m not sure. Can you explain your thinking to me?”**Participation is not optional!**• Use the think-pair-share strategy. • Always require students to ask a question when they need help. • Require several responses to the same question. • No one in a group is finishes until everyone in the group can explain and defend the solution.**Participation is not optional!**• Use hand signals often – Thumbs up or thumbs down (horizontal thumb mean “I’m not sure”) • Never carry a pencil. • Avoid answering your own question. • Ask questions to the whole group. • Limit the use of group responses. • Do not allow students to blurt out answers.**To help students engage in real learning…**“I must ask good questions, allow students to struggle, and place the responsibility for learning directly on their shoulders.” - Steven Reinhart