1. Toward Mathematical Thinking: Problem Based Learning Geoff Krall | New Tech Math Coach emergentmath.wordpress.com

2. Entry Event and Driving Question What’s so great about math instruction? On scratch paper near you, answer the following: What good is math instruction that could NOT be taught in another course? What is Mathematics uniquely positioned to do for your students that could NOT be achieved in economics, budgeting, engineering, etc., courses?

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

4. Framework for mathematical tasks Problem Solving

8. From the Math CCSS

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

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

11. Task: Quadratics, two ways Analyze two approaches to Quadratics using PBL. What do you notice? What are the similarities/differences? What might be gained by using a PrBL approach?

12. (one problem)

13. Common PBL Math pitfalls Product Refinement / Work Time Are kids steeped in mathematics or the final product? What ‘s truly engaging them? “Spreadsheet PBL” One equation / mathematical model, iterated several times, maybe with some numbers changed around Show your work dressed up as final report/presentation Is the final product just another delivery system of equation solving? One applied problem scenario Students are only well-steeped in one application of a particular mathematical concept

15. Problem Based Learning (A Unit)

16. Common PrBL Math pitfalls Gets mistaken for “traditional teaching”.Lack of time to find/generate quality problemsEnduring Skills / Understandings not emphasizedLack of design aspect

17. Problem Based Learning

18. What would I have done differently for my “Bighorn Sheep” Project? Literacy Task

19. Resource Blast / Next Steps Math eLearning PD Modules PrBL Starter Sets Problem Bank [NTN Math Group] [NTN Resource Library]