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Professional development for STEM Educators The Joy of the Math Project

Professional development for STEM Educators The Joy of the Math Project . Jen-chung Chuan National Tsing Hua University Hsinchu , Taiwan Aug, 2010. Introduction. √ How Intel ISEF 2010 has brought joy to the little countryside home and brought hope to the disaster area

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Professional development for STEM Educators The Joy of the Math Project

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  1. Professional development for STEM Educators The Joy of the Math Project Jen-chung Chuan National TsingHua University Hsinchu, Taiwan Aug, 2010

  2. Introduction √ How Intel ISEF 2010 has brought joy to the little countryside home and brought hope to the disaster area √ How math project has brought joy to math learning and research

  3. Math Becomes Experimental • Mathematics is regarded as a branch of theoretical science. • Science project turns Mathematics into an experimental science.

  4. Visual • Pure mathematicians speak of the thrill of abstraction. • Math project takes pride in making abstract concept visible and dynamic.

  5. Don’t Spoil the Fun • Three parts of a theorem: • “Given” • “To prove” • “Proof” • Thousands of years: “Proof” the most precious. • Dynamic Geometry : “To Prove” the most exciting.

  6. Attention Span • It is easy to deliver a math lecture making the audience sleep. • When a mathematical proof is turned into an interactive game, people get addicted.

  7. PowerPoint? • PowerPoint makes interactive Q&A hard. • Webpage links the minds to an unknown depth.

  8. Principle of Duality • Treat a constant as a variable • Treat a variable as a constant

  9. Old Wine… • Conventional Wisdom: Don’t discover a theorem unless it has at least three applications. • Math Project: Don’t start a mathematical experiment unless there are at least three different ways to do so with the computer.

  10. Symbols • Appropriate math symbols make presentation clean. • Redundant symbols make presentation ugly.

  11. Index • Avoid using indices. • Verbal expression reflects a sharper mind.

  12. Mathematical Maturity • Mathematical maturity - best propaganda for any math project. • References speak such quality loud and clear.

  13. Ego • A mathematician’s ego is found in the scratchpad. • He is willing to fight to keep it confidential. • Art of a science project : transform it beyond recognition.

  14. Efficiency • Amount of time for presentation- limited • The quality of judging is gauged by the efficiency of the presentation. • Ambiguity: worst sin • Just imagine the amount of time saved without having to clarify definitions!

  15. White Board • Tools for scientific presentation - far from ideal. • In math seminars chalk is used. • Pace and Flow of Ideas can hardly be simulated with computer. • Bring a white board.

  16. Magic Show • People love magic shows. • Extract the mathmagic ingredient of the project and start seducing the audience.

  17. Insight • Mathematical methods? • Meaningful in higher math? • Physical significance? • Visualized? • Simulation with a computer? • Accessible to high school student? • Accessible to primary school student?

  18. Reality Check • Have you given your presentation to your parents? • Do they understand it?

  19. Another Reality Check • What have you learnt from the project?

  20. Thank You Math Rocks

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