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现代认知心理学将知识分为两类:陈述性知识和程序性知识.陈述性知识是个人有意识地提取线索,因而能直接陈述的知识,这类知识主要用来回答世界“是什么”的问题[1];数学陈述性知识主要包括以命题网络形式表征的数学概念和命题.程序性知识是一套办事的操作步骤,它主要用来解决“怎么办”的问题[1];数学程序性知识主要包括以产生式表征的对外办事的概念、规则及对内调控的数学思想方法.
Modern cognitive psychology divides knowledge into two categories: declarative knowledge and procedural knowledge, which is the knowledge that individuals can extract clues consciously and thus directly declare. Such knowledge is mainly used to answer the world “[1]; Mathematical declarative knowledge mainly includes mathematical concepts and propositions in the form of proposition network.Programming knowledge is a set of operational steps, which is mainly used to solve the” how to do "problem [1 Mathematical procedural knowledge mainly includes the concepts, rules and methods of mathematical thinking of external affairs which are characterized by production.