一个教学评测模型的原理和实现

Principle and Realization of a Model for Teaching and Studying Evaluation

用试卷Ｇ（有Ｐ道试题）对ｎ个学生测试，通过学生的试题得分矩阵Ｘ，建立一个数学模型，对包括多个（ｍ个）教学子目标的教学目标进行综合教学质量测评。该模型借助通信理论中信噪比（Ｓ／Ｎ）的概念和模糊信息处理方法，利用试题得分矩阵Ｘ，构造教学子目标得分矩阵Ｒ，教学子目标得分率矩阵Ｓ，熟练评价矩阵Ｆ，综合评测矢量ｂ及其分贝值η，并给出了Ｒ，Ｓ，Ｆ，ｂ和η的计算公式。最后给出了一个计算实例，用计算出的综合评测矢量的分贝值η实现了对包括多个教学子目标的教学目标的整体综合评测。

mathematic model is constructed by means of score matrix of each student on very question using test paper G (there are p test questions) to test the teaching and study effects of students. This model is able to synthetically evaluate the teaching quality to a teaching object including many teaching subobjects. According to the concept of signal noise ratio and fuzzy information handling method in communication theory, score matrix Z of lest question, score matrix R and score ratio matrix S of the teaching subobjects, skill evaluation matrix F, synthetic evaluation vector'b and its decibel value n are built in this model, and the calculating formule of Z.R.S .F.b and n are given. Lastly,a calculating example is given to obtain the synthetic evaluation to the teaching object.