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The Art of Tangrams and its Mathematical Implication

  1. Our final project will be working the art of tangrams and trace back its history to ancient China 2. References                                                     Read, R. C. (1965).  Tangrams: 330 puzzles . Courier Corporation. URL: https://books.google.ca/books?id=80yRBQAAQBAJ&lpg=PP1&ots=EzOW0rhuWt&dq=history%20of%20tangrams&lr&pg=PP1#v=onepage&q=history%20of%20tangrams&f=false   Russell, D., & Bologna, E. (1982). Teaching Geometry with Tangrams.  The Arithmetic Teacher,   30 (2), 34-38. Retrieved December 6, 2020, from http://www.jstor.org/stable/41192134   Siew, N. M., Chong, C. L., & Abdullah, M. R. (2013). FACILITATING STUDENTS'GEOMETRIC THINKING THROUGH VAN HIELE'S PHASE-BASED LEARNING USING TANGRAM.  Journal of Social Sciences ,  9 (3), 101.   T...
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Euclid Poem

Euclid was the founder of geometry. His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. I'm not good at interpreting poems but the first poem seems to talk about how Euclid found beauty in geometry findings, in shapes of shifting lineage, and this helped him experience the "flow" that releases him from dusty human bondage to luminous air. His  soul and his whole being  was lifted by this beauty, which gets him away from the human state and into a higher state of being. The next poem seems to disagree... and say that beauty is clothed, and say the first poet is an idiot. but I don't really get what he was objecting to .....and what he proposes instead!
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homework for sept 30

In this reading we see that the Babylonians are using concrete words to substitute variables we have today. For a mathematical principle, one would have to use those words (such as ush for x, square for x^2)  to represent the varaibles.  “=” sign would be “Result” and any square root sign would be replaced by the word “square root”. An simple modern equation would be substituted by multiple steps described with words. I believe that math is all about generalization and abstraction. without these, math would not be able to represent / solve real life problems. We take these problems and transform them into the “math” form and solve them(using mathematical rules) , then we take it back to the real world. Without generalization and  abstraction, we could not do this.  For more abstract areas, such as number theory, geometries, calculus, graph theory, etc., it would be hard not to use algebra. If we don’t have algebra, number theory could hardly be represented, let a...
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