本研究的主要目的在於探討游泳教學時間與距離最佳化控制的數學模式，而這個模式將來可以作為每一教學單元教學內容進度的參考，對於達成教學目標有正面的效益，本研究以新埔技術學院四技部一年級31人，經過上學期八星期（每星期二小時）的游泳基本動作訓練之學生為對象，再經過下學期八星期（每星期二小時）的游泳課教學，並以數學模式求解進而計算出精確數值得知；如果要在下學期八星期（16小時）中的游泳課時間內達到連續完成50公尺的目標距離，則我們將以最佳化控制的最適訓練時間，來控制並訓練學生以完成教學目標。
The purpose of this study is to explore the mathematical model of the optimal control of the time and distance in swimming teaching. This model can be used as a reference for the contents of every teaching unit in the future. It will positively help to achieve the teaching goals. The subjects of this study were fifty-one freshmen of the four-year college of St. John’s & St. Mary’s Institute of Technology. The students were taught the basic skills of swimming for eight weeks, two hours each week, in the first semester. They then had swimming lessons for eight weeks, two hours each week, in the second semester. A precise value was calculated with the solution acquired through the mathematical model, resulting in the following findings: if the students are to be required to swim the target distance of fifty meters continuously without stopping by the end of the eight weeks in the second semester, then we will use the optimal training time in the optimal control model to control and train the students in order to achieve teaching goals.
