Thursday, December 20, 2012

Pythagorean Theorem 畢氏定理

Pythagorean TheoremThe sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 


In other words, it could be expressed as an equation:

a^2 + b^2 = c^2\!\,

where both a and b are legs of a right triangle; c is the hypotenuse.


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As the picture shown above labeled by parts, it provides a clear pictorial mental model for learners to grasp the main idea of this theorem.

Nevertheless, in order to reinforce the learning process, it is recommended to play an online interactive game available here. This online game
 is quite engaging and may be an effective way to learn the Pythagorean Theorem. The following picture is a snapshot of the game.



To proceed, simply click on the "continue" button to start exploring the Pythagorean Theorem.

This game first introduces the theorem like the following snapshot.




After the introduction, it is possible to try using the Pythagorean Theorem with some practice followed by immediate feedback. When doing the problem, there is a scientific calculator provided in the left hand side for calculation.



At the end of the game, it has review problems to check the understanding of the Pythagorean Theorem. Overall, it is a fun way to learn the theorem.

*Note: This game is cited from the ASSET/Eight/ASU Mathactive webpage at www.asset.asu.edu/new/mathactive/.

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