| Summary: | 碩士 === 國立交通大學 === 理學院碩士在職專班網路學習學程 === 95 === Trigonometric functions are basic functions used for describing the periodic patterns in the real world, though the topic of trigonometric functions is one of the difficult subjects for most high school students because of its high degree of abstraction involved, followed by many lengthy formulas and complicate computations. However, complicated computing nowadays can be done easily by computers under well prepared instructions. We are considering if the current information technology can be used to provide students friendly and effective learning environments for studying trigonometric functions.
The purpose of this thesis is to manage friendly and user oriented environments for helping students to catch the insights and the usages of trigonometric functions efficiently and to realize how the mathematical knowledge can be used in treating the problems from the real world as well. In particular, the software packages GSP and MathPS will be used in this thesis for developing environments for dynamic presentations of trigonometric functions. By taking fully advantage of the dynamic presentations, we will have chances to transform the focuses from formulas and proofs to the insights and features of trigonometric functions in the environments supported by GSP and MathPS. Some examples relating to tides and temperatures will also be introduced to show how the real world problems can be transformed to mathematics problems within the frameworks of mathematical modeling.
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