Pytharoras' videos - by Youtube Video Script

Supplementary proof to part 4

Length: 3:22
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View Count: 32
Author: rehcaethtam

Tags: analysis area Conditions Educational elementary Euclid Euclidean Gagné Geometry George heuristics Jihexue learning Lev Mathematics method of Problem Psychology Pytharoras' Pólya ratios right-angled Robert Scaffolding Shuxue similar skills solving task Theorem thinking triangle triangles Vygotksy ZPD

There is one more proof, which is supplementary to part 4(at 4min42sec) of the whole series concerning a problem of equilateral triangle

Part 3 of 5 Equilateral triangle - Area - ratio

Length: 5:26
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View Count: 78
Author: rehcaethtam

Tags: analysis area Conditions congruence Educational elementary equilateral figures Gagné Geometry George heuristics hierarchy intellectual intercept learning Lev Mathematics method of problem Psychology Pytharoras' Pólya ratios right-angled Robert Scaffolding Shuxue similar skills solving task theorem trapezium triangle triangles Vygotksy ZPD

The material in Part 3 addresses the problem about the ratio of the line segment. If the viewer has interest in this problem, he/she can replace the ratio numbers 1,2,3 with the Pythagorean triple 3,4,5. And find the ratio of the corresponding line segments from the very beginning.

Part 4 of 5 Equilateral triangle - Area - ratio

Length: 6:55
Rating Average: n/a
View Count: 160
Author: rehcaethtam

Tags: analysis area Conditions congruence constructions elementary equilateral figures for Gagné geometric Geometry George heuristics hierarchy intellectual intercept jihexue learning Lev logical Mathematics method of problem Psychology Pytharoras' Pólya ratios right-angled Robert Scaffolding Shuxue similar skill skills solving task theorem thinking trapezium triangle triangles Vygotksy ZPD

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...

Part 5 of 5 Equilateral triangle - Area - ratio

Length: 5:57
Rating Average: n/a
View Count: 191' favoriteCount='1
Author: rehcaethtam

Tags: analysis area congruence construction elementary equilateral figures for Gagné geometric Geometry George heuristics hierarchy intellectual intercept jihexue learning Lev logical Mathematics method of problem Psychology Pytharoras' Pólya ratios right-angled Robert Scaffolding similar skills solving task theorem thinking trapezium triangle triangles Vygotksy ZPD

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...