1. Teaching Math Conceptually
By Kristen DePaola

2. Mathematical Thinking
How do we conceive Mathematics?
How do we learn, use and create?
How do we think?

3. Process of Mathematical Thinking
To perceive something
To act on it
To reflect on the action and develop theories

4. Why is Math Important? Life Skills Money Management
Teaches a certain mindset
Problem Solving Skills

5. I Want My Students to Learn
Restrictions
Curriculum
MCAS
Real Life Applications
Hands on experiences
Dynamic Use of Software

6. How can we teach this? Building a strong foundation
Theory Based Lessons
Practical examples

7. Will this work? Japanese Classrooms Personal Experiences
TIMSS report claimed that the classes in Japan focused more on the conceptual theory

8. References
Symbols and the Bifurcation between Procedural and Conceptual Thinking, David Tall, University of Warwick
Virtual Manipulatives in Mathematics Education: A Theoretical Framework, Soner Durmus, Erol Karakirik, Abant Izzet Baysal University
Conceptual Thinking,
Concept-Rich Mathematics Instruction: Building a Strong Foundation for Reasoning and Problem Solving, Meir Ben-Hur,
Big Cities Credit Conceptual Math for Higher Scores, Sean Cavanagh, Education Week, v25 n18 p1, Jan 2006