As the teaching quality is the lifeblood of universities, the classroom teaching quality is a direct reflection of the university teaching quality, and how to evaluate teaching quality has long been plagued by colleges and universities education sector. Based on matter-element and extension set theories, this article established the multidimensional extension element model for evaluation of the quality of Higher Education Teaching, and the classroom teaching quality evaluation method. The method not only from the formal descript the various factors that affect the quality of Higher Education Teaching, but also from the essence, given an accurate assessment of the classroom teaching quality. The theoretical analysis and practical results show the feasibility and effectiveness of the model, and provide a new approach for evaluation of the quality of Higher Education Teaching.
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