In this summer's research I am working with Dr. Caroline Eastman on Culturally Situated Design Tools and my topic is "Fractals of Geometry An assessment of Fractals: Their use and methods of teaching." A little background on fractals, a fractal is a rough or fragmented geometric shape that can be subdivided into parts, each of which is, at least approximately, a smaller copy of the whole. Fractals are generally self-similar, the bits look like the whole, and independent of scale, which means they look similar, no matter how close you zoom in. Many mathematical structures are fractals; for example Sierpinski triangle, Koch snowflake, Peano curve, Mandelbrot set and Lorenz attractor. Fractals also describe many real-world objects that do not have simple geometric shapes, such as clouds, mountains, turbulence, and coastlines.
My objective in this research project is to see how fractals or fractal geometry is used and applied in the education field. It is also to see how they may apply to South Carolina Educational Standards. My status as of right now is trying to find a lesson plan where a teacher has already made an approach to teaching children about fractals, and I'm trying to find the Educational Standards for that particular subject.
If you may know of some information on this subject or project, please feel free to contact me through my email: firstname.lastname@example.org.
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