I have gradually come to the opinion that the introduction to mathematics visually should come from circles. For years we have striven in schools to begin with segments and triangles. Sure, those things are important, but let's face it: fun time as a kid involves circles (merry-go-rounds, hula hoops, etc) and other curved shapes. What kid starts laughing after quickly walking a straight line? Let them spin in a circle, though...Here is just some doodling from this morning as I was experimenting in Geogebra. My complete file is here.
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