Keep in Mind Map

1. 7 Mathematical Processes

1.1. Problem Solving

1.2. Reasoning and Proving

1.3. Reflecting

1.4. Selecting Tools

1.5. Computational Strategies

1.6. Connecting

1.7. Representing and Communicating

2. Dan Myers Website on Mathematical Activities

3. www.geogebra.org

4. Skemp (2006)

4.1. "An argument against instrumental understanding is that it usually involves a multiplicity of rules rather than fewer principles of more general application"

5. Learn From Your Errors

6. Unit Planning

6.1. Three Phase Lesson Plan

6.2. Backward Planning

6.3. Secondary Mathematics Planning

7. TACK

7.1. Thinking

7.2. Application

7.3. Communication

7.4. Knowledge/Understanding

8. Algebra

8.1. "Signs"

8.2. "Co-Signs"

9. The Five Strands of Mathematical Profeciency

9.1. Conceptual Learning

9.2. Procedural Fluency

9.3. Strategic Competence

9.4. Adaptive Reasoning

9.5. Productive Disposition

10. Arbitrary

10.1. The Realm of Memory

11. Necessary

11.1. The Realm of Awareness