This study shows how to use effectively construction and solution of the quadratic equation developed by mathematicians such as Gyung Sun-jing, Hong Jung-ha, Hong Dae-yong, Lee Sang-hyuk, and Nam Byung-gil through mathematics history of Chosun Dynasty. Mathematics history of Chosun Dynasty can be used in order to enhance comprehension and increase interest in an introduction to the quadratic equation. It also can be used to help motivate middle school students to solve the quadratic equation with much interest during the development phase, and develope conceptual thinking and reflective thinking in the practical phase.