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从学生个体认知的角度出发,学生对无限的认知可以分成三个层次:感觉层次、分析层次和演绎层次。小学生对无限的认识主要体现在第一和第二个层次。这两个层次分别对应于语言叙述,图表观察两个阶段。一、借助有限感知无限感觉是个体通过感觉器官接受外界信息,再经神经传导至大脑成为理性信息的过程。知觉是以感觉为基础,结合当时的心情、期望以及过去的经验和习得的知识,对多种感觉信息进行综合的一种心理过程。
From the perspective of students ’individual cognition, students’ understanding of infinity can be divided into three levels: sensation level, analysis level and deduction level. Primary school students’ understanding of infinity is mainly reflected in the first and second levels. These two levels correspond to the language narrative, the chart observes two stages. First, with limited perception Infinite feeling is the process by which individuals receive external information through sensory organs and then transmit them to the brain as neural information through nerves. Perception is based on the feeling, combined with the mood, expectations and past experience and acquired knowledge, a variety of sensory information on a comprehensive psychological process.