Teaching Math Conceptually By Kristen DePaola
Mathematical Thinking • How do we conceive Mathematics? • How do we learn, use and create? • How do we think?
Process of Mathematical Thinking • To perceive something • To act on it • To reflect on the action and develop theories
Why is Math Important? • Life Skills • Money Management • Teaches a certain mindset • Problem Solving Skills
I Want My Students to Learn • Restrictions • Curriculum • MCAS • Real Life Applications • Hands on experiences • Dynamic Use of Software
How can we teach this? • Building a strong foundation • Theory Based Lessons • Practical examples
Will this work? • Japanese Classrooms • Personal Experiences
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, www.wikipedia.org • Concept-Rich Mathematics Instruction: Building a Strong Foundation for Reasoning and Problem Solving, Meir Ben-Hur, http://www.ascd.org • Big Cities Credit Conceptual Math for Higher Scores, Sean Cavanagh, Education Week, v25 n18 p1, 14-15 Jan 2006