Abstract ▼ AI-Helper

The question to seek a value by resolving an equation is one of the problems of the longest history in mathematics. And an equation has a close relationship with our life. By this reason, the problems of equation resolution become the main theme in the mathematics subject of middle- and high school....

The question to seek a value by resolving an equation is one of the problems of the longest history in mathematics. And an equation has a close relationship with our life. By this reason, the problems of equation resolution become the main theme in the mathematics subject of middle- and high school. Among them, Diophantus researched a method to find the integer value of the 1st linear equation having the unknowns more than two, and it is called Diophantine equation. This study researched how we should apply it into the equation of middle- and high school and teach it with the Diophantine equation in the center. If looking at the small units, they consist of the 1st chapter; the introduction, the 2nd chapter; the base of equation, the 3rd chapter; the stream of equation, the 4th chapter; the equation in the curriculum of middle- and high school, the 5th chapter; Diophantine equation in the curriculum of middle- and high school, the 6th chapter; the application of Diophantine equation in daily life, and the 7th chapter; the conclusion. This researcher hopes that they would be aware exactly about the history and the background of equation unit in mathematics curriculum of middle-and high school, and that they would understand sufficiently why we should learn the equation, what the equation is, how we could seek the value of equation, and how it have been used in daily life.

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