Abstract: Extraction method is one of the most advanced and mature content in Chinese traditional mathematical algorithm, first seen in “Nine Chapters”. And it was developed into two methods of “Zengchengkaifang” and “Lichengshisuo”, an effective method to solve the equations with one unknown only for one positive solution, sometimes approximate root, after the Song and Yuan dynasties. “Kaifangshu” has concrete terms such as “Shi, Fang, Lian and Yv”, in Chinese cultural context. At the same time, with the gradual development and improvement of the algorithm of extraction, the corresponding equation classification with cultural background also comes into being and is divided into “Kaifang” and “Daizongkaifang”, in which the latteris also gradually called a problem with rich connotation in Chinese mathematics.

Key Words: “Kaifangshu”; The classification of equations; “Kezhi”; Cultural tension

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