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“三论”,即系统论、信息论、控制论。从三论中可以概括出三条基本原理:反馈原理、有序原理、整体原理。这三条原理对于各个系统,都是普遍适用的。以班级授课制为基本形式的教学结构,由于具有明确的目的性、联结的整体性、很大程度的可控性,因而明显地具备系统的特征,可称为教学系统。它包括“教师”、“学生”、“传输状态的知识”三个子系统。运用“三论”原理,对教学系统进行研究,可以获得许多有益的启示;对当前数学教学改革中出现的各种方法进行透视与剖析,可以对各自的得失优劣获得更为全面深刻的认识,从而更加有效地推动当前的教学改革。
The “three theories” are system theory, information theory, and cybernetics. Three basic principles can be summarized from the three theories: feedback principle, order principle, and overall principle. These three principles are universally applicable to all systems. The teaching structure with the class teaching system as the basic form has clear features of purpose, joint integrity, and a great degree of controllability. Therefore, it clearly has system characteristics and can be called a teaching system. It includes the three subsystems of “teacher”, “student” and “knowledge of transmission status.” Using the “three theory” principle to study the teaching system can get a lot of useful enlightenment; through the analysis and analysis of the various methods appearing in the current mathematics teaching reform, we can gain a more comprehensive and profound understanding of the respective advantages and disadvantages. , thus more effectively promote the current teaching reform.