数学学习疑难及其类型

Difficulties and Types of Mathematics Learning

数学学习疑难是学习者对数学对象的数量关系或空间形式属性进行建构所获得心理表征的过程中,形成的非正态的心理意义状态.从信息加工的认知心理学视角来看,数学学习疑难的产生伴生于信息加工的输入、编码、整合、组织、识别等过程的多种异常情况.由这些情况可以得到数学学习疑难的多种类型,即情境型学习疑难、知识型学习疑难、思维型学习疑难、操作型学习疑难等.

The difficulty in mathematics learning is the state of non-normal psychological meaning formed in the process for acquiring the psychological representation of the quantitative relation of mathematical objects or for constructing of spatial form attributes on the part of the learners.From the perspective of cognitive psychology of information processing,mathematical learning difficulties are concomitant with the various abnormal instances in the process of information processing,such as input,coding,integration,organization,and recognition,from which the various types of mathematical learning difficulties might arise,namely,the situational learning difficulty,the knowledge-type learning difficulty,and the thinking-incurring learning difficulty and the operation-related learning difficulty and so on.