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## Teaching Math Conceptually

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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