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Incorporating Discovery in Developmental Mathematics

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Presentation on theme: "Incorporating Discovery in Developmental Mathematics"— Presentation transcript:

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?

5 Discover I’m not looking for my students to discover independently.

6 Discover I do want my students to participate in the discovery.

7 Discover As I teach I try to lead the discovery.

8 Discover Involve students

9 Discover Collaborate, not dictate

10 Discover Help students to develop that “little voice”

11 Discover – Example Solve:

12 Discover Option 1: Clearly explain the steps for solving this new type of equation. Isolate the absolute value. Rewrite as two equations. Solve the equations.

13 Discover Option 2: “Can anyone find a solution of this new type of equation?”

14 Discover – Example Solve:

15 Discover Get students to think.
Get students engaged and active, rather than being passive. Get students to explain their reasoning and share their strategies.

16 Discovery – Strategy 1 The Reversal

17 Multiply

18 Multiply

19 What did I multiply to get an answer of

20 After covering … Ask …

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

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

23 After covering … Your Turn Ask …

24 “Wolfram|Alpha” Style
Discovery – Strategy 2 “Wolfram|Alpha” Style

25 Problem: Simplify Answer:

26 Problem: Simplify Answer:

27 Problem: Simplify Answer:

28 Problem: Your Turn Answer:

29 Using Technology to Develop Graphing Strategies
Discovery – Strategy 3 Using Technology to Develop Graphing Strategies

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

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

32 Flipping the Classroom
Discovery – Strategy 4 Flipping the Classroom

33 Flipping the Classroom Simplifying Radical Expressions
Discovery Flipping the Classroom Simplifying Radical Expressions

34 Flipping the Classroom Graphing Absolute Value Functions
Discovery Flipping the Classroom Graphing Absolute Value Functions

35 Summary

36 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.

37 Cycles of Learning Discover Engage Reflect

38 Feedback Questions? on Twitter

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