1. Incorporating Discovery in Developmental Mathematics
George Woodbury
College of the Sequoias – Visalia, CA

2. Cycles of Learning
Discover
Engage
Reflect

3. Discover

4. Discover
Can Developmental Math students really discover this material?
I’m not looking for my students to discover independently.
I do want my students to participate in the discovery.

5. Discover As I teach I try to lead the discovery. Involve students
Collaborate, not dictate
Help students to develop that “little voice”

6. Discovery
The Reversal

7. Multiply

8. Multiply

9. What did I multiply to get an answer of

10. After covering …
Ask …

11. Graphing Square Root Functions
After covering …
Graphing Square Root Functions
Ask …
Here’s a graph. What’s the function?

12. Solving Quadratic Equations By Factoring
After covering …
Solving Quadratic Equations By Factoring
Ask …
Here’s a solution set. What’s the equation?

13. After covering …
Your Turn
Ask …

14. “Wolfram|Alpha” Style
Discovery
“Wolfram|Alpha” Style

15. Problem: Simplify
Answer:

16. Problem: Simplify
Answer:

17. Problem: Simplify
Answer:

18. Problem:
Your Turn
Answer:

19. Properties of Graphs Desmos.com Graphing Parabolas
Discovery
Properties of Graphs Desmos.com Graphing Parabolas

20. Properties of Graphs Desmos.com Translations (h & k)
Discovery
Properties of Graphs Desmos.com Translations (h & k)

21. Flipping the Classroom Simplifying Radical Expressions
Discovery
Flipping the Classroom Simplifying Radical Expressions

22. Flipping the Classroom Graphing Absolute Value Functions
Discovery
Flipping the Classroom Graphing Absolute Value Functions

23. Summary

24. True Learning
I believe that true learning only occurs when students are allowed to participate in the discovery of procedures and problem solving strategies, rather than being handed a recipe of steps to follow.

25. Cycles of Learning
Discover
Engage
Reflect

26. Feedback
Questions? on Twitter georgewoodbury.com/AMATYC2016