Part 4 of 5 Equilateral triangle - Area - ratio
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Uploaded by rehcaethtam on Nov 7, 2008
Without using trigonometry, I've solved a geometry problem concerning equilateral triangle. As seen in part 4 and 5, the original problem is to determine the ratio of two areas, the equilateral and the quadrilateral embedded. Since I tried my best to stick to the elementary method, it took me 7 videos ,which has something connected with each other, to present the whole package of solutions.
However each of them can be considered as an independent problem and solution. Including the word processing and the preparations of those videos, it took me more than 100 hours in 50 days to finish the whole task(including part 1 to 5 and others).
Somebody would ask me why I spent so much energy to present this problem and solution in so much detail. I would like to tell them this is to show that there are so many difficulties behind such kind of simple high school Math problem. This is about the area of Psychology for learning. Two technical terms can give the readers some hints: Zone of Proximal development(from Vygotsky), Hierarchy of intellectual skills(from Robert Gagné).
By the way, I would like to introduce a term, shuxue to the English-speaking world. Shuxue is a phonetic transcriptions of 2 Chinese characters which is exactly the term representing Mathematics.
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very good video, thenk you.
111Zatraha111 1 year ago