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At Home. What to expect on the math side…. My Mission. To help you discover what mathematics really is , by offering you the genuine ideas and ways of thinking that attracted me to mathematics. For you to become a fan of mathematics !
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At Home What to expect on the math side…
My Mission • To help you discover what mathematics really is, by offering you the genuine ideas and ways of thinking that attracted me to mathematics. • For you to become a fan of mathematics! • (If not a fan, then at least one who has a firmer understanding of what you’re judging.)
Most people • Don’t have an accurate picture of mathematics: • Tests • Homework • Problems • Problems • Problems • Formulas ANXIETY!!
What it really is • A network of intriguing ideas (not a dry, formal list of formulas to memorize) • Study of math = study of techniques we use to: • solve everyday problems • analyze situations • sharpen the way we look at the world
How I view Mathematics • The same way an English professor views her subject • Useful and necessary for a myriad of applications • Poetic, artistic, beautiful on its own
Can you turn your pants inside-out? • Tie a rope around your feet • Take off your pants and put them back on inside-out, without untying the rope. • Quinn’s video TOPOLOGY
What exactly is topology? • It’s the study of spaces/objects and the properties that don’t change when we stretch, twist, or shrink those objects • View the world as if it’s made of clay or rubber
Polyhedra • A polyhedron is a 3D solid whose faces are polygons. • A regular polyhedron: • All its faces are regular polygons (equilateral triangles, squares, perfect pentagons, etc) • All its faces are identical • The number of edges intersecting at each vertex is the same. • How many can you create? (website)