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Enhancing Proportional Reasoning through Bansho and Open Questions in Teaching

This session focuses on developing strategies to create open tasks related to proportional reasoning and effective scaffolding questions. Participants will explore Bansho as a method to consolidate learning by acknowledging student work and fostering collaborative dialogue. We’ll delve into the significance of ambiguity in questions to promote richer discussions and investigate the relationship between percentages and ratios. Through engaging activities such as Think-Pair-Square, teachers will prepare to support struggling students and share promising ideas for implementation.

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Enhancing Proportional Reasoning through Bansho and Open Questions in Teaching

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Presentation Transcript

  1. Orienteering: Blazing Our Trail

  2. Session Goals • Develop a strategy to create open tasks related to proportional reasoning in order to differentiate instruction. • Develop strategies to create appropriate scaffolding questions.

  3. Bansho - Consolidation of Learning • Bansho is a way to share student work and to acknowledge the continuum of learning. • We will use your work from this morning’s session to collaboratively Bansho our learning. • Have you experienced Bansho? What are your thoughts?

  4. A Little Refresher… • While watching this clip, please consider the following statement: “Some ambiguity in questions is useful to initiate a richer conversation”. How is this illustrated in this clip?

  5. Open Questions & Scaffolding • The following question is based on BIN 3 • “There are many equivalent representations for a number or numerical relationship. Each representation may emphasize something different about that number or relationship.” • Our learning goal is that students will investigate that a percent is a special type of ratio where a part is compared to a whole, and the whole is 100.

  6. Open Questions & Scaffolding Fill in the blanks to make this statement true. 72 is ____% of ____. Work on this open question with a partner or small group. Please show all your thinking on chart paper in preparation for a Bansho.

  7. Open Questions & Scaffolding • Let’s assume that you have identified students who are struggling with the problem. • With a partner, write some scaffolding questions that you could ask to support student learning.

  8. Open Questions & Scaffolding • Let’s assume that you have identified students who are struggling with the problem. • With a partner, write some scaffolding questions that you could ask to support student learning. • Think-Pair-Square

  9. Quiet Time • Write two postcards: one to yourself, reminding yourself of a great idea that you really want to try this year, and one to your administrator or a colleague at your school, telling them about your experience at Math CAMPPP. • Include addresses as these will be stamped and sent after CAMPPP is over.

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