1. Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net

2. Next Session: Friday 8:00 Decimal Multiplication & Division 3:00Percents

4. Math is figure-out- able!

5. Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning

6. Problem Strings Build Strategies while building Place-Value

7. Younger Students Build Additive Thinking

8. 49 + 10 49 + 9 49 + 40 49 + 39 3.8 + 1 3.8 + 0.9 3.8 + 5 3.8 + 4.9 7.27 + 2 7.27 + 1.99 6.6 + 2.96 Proble m Strings

9. 49 + 10 49 + 9 49 + 40 49 + 39 3.8 + 1 3.8 + 0.9 3.8 + 5 3.8 + 4.9 7.27 + 2 7.27 + 1.99 6.6 + 2.96 Proble m Strings Over Strateg y

10. Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning

11. 99 + 1 99 + 27 99 + 68 9.9 + 0.1 9.9 + 3.7 4.98 + 0.02 4.98 + 2.63 6.74 + 1.25 56.97 + 38.98 Proble m Strings

12. 99 + 1 99 + 27 99 + 68 9.9 + 0.1 9.9 + 3.7 4.98 + 0.02 4.98 + 2.63 6.74 + 1.25 56.97 + 38.98 Proble m Strings Give & Take

13. Not just about any way to do a problem......

14. The Landscape of Learning

15. 53 - 48 31 - 4 7.2 - 6.9 5.3 - 0.5 56.11 - 0.22 48.03 - 47.99 Proble m Strings

16. Problem Strings Differenc e versus Removal 53 - 4831 - 47.2 - 6.95.3 - 0.556.11 - 0.2248.03 - 47.99

17. 6.5 - 2.9 6.2 - 2.6 7.1 - 3.5 6.3 - 2.7 6.6 - 3.0 7.6 - 4.0 13.2 - 9.6 Proble m Strings

18. 6.5 - 2.9 6.2 - 2.6 7.1 - 3.5 6.3 - 2.7 6.6 - 3.0 7.6 - 4.0 13.2 - 9.6 Problem Strings Constant Differenc e

19. Connections to Higher Math

28. Counting Additive Multiplicative Proportional Reasoning Algebraic Reasoning

29. Math is Figure-out- able Look to most efficient strategies Teachers build own numeracy Its about relationships: - Among numbers to solve problems - Between teachers and students to build young mathematicians

30. Next Session: Friday 8:00 Decimal Multiplication & Division 3:00Percents

31. Decimal Addition & Subtraction Like Youve Never Seen Pamela Weber Harris @pwharris pamelawharris.com pharris@byu.net