I-Images
CollaborationA human tower or Castell from the Catalonia Region of Spain.
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GrowthA lightning Fractal as represented in the Museum of Science and Industry
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TrianglesTriangles form the basis of much modern life, much to the chagrin of Bourbaki group
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These images represent mathematics as a social activity as well as the pursuit of truth and learning. This draws me in because math is such an old, rich subject full of history, and despite the popular myth of the lone genius, there are several fantastic results that are the product of one mathematician learning from another and another...
My big idea is to create a classroom environment where students actively collaborate and take risks together to achieve difficult mathematical result. The Castell, or human tower, represents this because there is a community there of hundreds of people working together, literally supporting each other to achieve heights that no individual would be able to reach on their own.
My big idea is to facilitate student growth by giving them just enough tools at the beginning that they can create a complex structure organically, creating new proofs, theorems, or conjectures from work they or their classmates have previously done. At the end of the year, I hope students will be able to look back at their entire portfolio and admire all of the steps they took from a simple beginning to create something complex.
My big idea is to poke fun and appreciate the historical conflict of mathematics. Mathematics is alive and real, which makes the quote from Bourbaki ironic and interesting. Bourbaki was a french group of "rigorous" mathematicians that eschewed geometric concepts for a thorough algebra framework. In my class, I hope students will play with both algebraic and geometry concepts.
My big idea is to create a classroom environment where students actively collaborate and take risks together to achieve difficult mathematical result. The Castell, or human tower, represents this because there is a community there of hundreds of people working together, literally supporting each other to achieve heights that no individual would be able to reach on their own.
My big idea is to facilitate student growth by giving them just enough tools at the beginning that they can create a complex structure organically, creating new proofs, theorems, or conjectures from work they or their classmates have previously done. At the end of the year, I hope students will be able to look back at their entire portfolio and admire all of the steps they took from a simple beginning to create something complex.
My big idea is to poke fun and appreciate the historical conflict of mathematics. Mathematics is alive and real, which makes the quote from Bourbaki ironic and interesting. Bourbaki was a french group of "rigorous" mathematicians that eschewed geometric concepts for a thorough algebra framework. In my class, I hope students will play with both algebraic and geometry concepts.
I-Video
I decided to make my iVideo as an intro to the KAM class. I took the example of cryptography and tried to create a little teaser for the number theory aspect of class.