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Toward Developing Mathematical Thinkers: Problem Based Learning

Toward Developing Mathematical Thinkers: Problem Based Learning. Geoff Krall emergentmath.wordpress.com. What good is it? What is Math instruction uniquely positioned to do for your students?. Entry Event:

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Toward Developing Mathematical Thinkers: Problem Based Learning

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  1. Toward Developing Mathematical Thinkers: Problem Based Learning • Geoff Krall • emergentmath.wordpress.com

  2. What good is it? What is Math instruction uniquely positioned to do for your students? • Entry Event: • Our school board is thinking about eliminating mathematics entirely from the high school scope and sequence. • We have 30 seconds to convince them otherwise. • Come up with 2-3 things about math instruction that are a net benefit for your students..

  3. Why teach math? Conrad Wolfram TED Talk Technical Skills Everyday math Logical thinking and reasoning

  4. Framework for mathematical tasks

  5. A diagnosis

  6. A diagnosis We are not teaching kids to solve problems. We are teaching them to follow procedures.

  7. Traditional Instruction to Project Based Learning

  8. My Exponential Growth and Decay project Local! Relevant! Authentic! 21st Century Skills!

  9. 9.756 sq in/101.6832 sq in = 0.0959 My Exponential Growth and Decay project About 10% of the final product included mathematics??? Where’s the Math? 2. 466 sq in 1.37” 7.29 sq in + 2.466 sq in=9.756 sq in 1.8” 7.29 sq in 1.62” 5.12 in 4.5” 101.6832 sq in 19.86 in

  10. Problem Based Learning

  11. Problems, three ways

  12. M L

  13. Problems or Projects?

  14. Let’s make a decision tree: Problems, Projects, and/or Guided Instruction Three tasks types have been placed around the room, with examples. In your groups, discuss the following: When would this type of classroom activity be appropriate Math classroom? Task Type

  15. Let’s create a decision tree When might each task type be most appropriate?

  16. A Framework to think about the net benefit of mathematical tasks. Use Task Type Don’t Use Using Problems to leave nowhere for the math to hide. Some decision points to decide when to use problems, projects, and guided instruction.

  17. Resourcesemergentmath.wordpress.com • Problem Planning Form [How do we plan for Problems?] • Scaffolding Activities [How do we get students to talk and reason mathematically?] • Formative Assessment Lessons and Tasks [Shell Centre] [Where can I find good examples of PrBL Lessons?]

  18. Geoff Krall | gkrall@newtechnetwork.org emergentmath.wordpress.com End of Class Debrief

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