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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.
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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