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Enhancing Mathematical Thinking: A Conceptual Approach

Explore the importance of teaching math conceptually for life skills, money management, and problem-solving mindset. Learn about the process of mathematical thinking and strategies to enhance students' learning using practical examples. Discover the impact of hands-on experiences and dynamic software in math education, with a focus on building a strong foundation for reasoning and problem-solving skills. References from academic sources and real-life examples provide insight into the effectiveness of conceptual mathematics instruction.

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Enhancing Mathematical Thinking: A Conceptual Approach

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Presentation Transcript

  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

  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, 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

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