以“1”为基础标准揭示数和数学中部分和整体关系的系统性教学实验

A SYSTEMATIC TEACHING AND LEARNING EXPERIMENT OF APPLYING THE KNOWLEDGE OF THE PART-WHOLE RELATIONSHIP WITH “l” AS THE UNDERLYING BASIS

本实验是一个旨在验证作者以前研究结果的系统性教学实验。作者运用以“1”为基础标准揭示数和数学中部分和整体关系这一原则,重新编写现用小学教材。实验是在黑山北关实验学校一年级进行的。学生均为就近入学的小县镇儿童。一年的实验教学结果表明:在这样一种知识结构下,在同一教学时间内,实验班学生比对比班多学了近150课时的内容;实验班的历次考试成绩均接近或稍高于对比班;在学习迁移能力等方面,实验班均高于对比班。这初步表明,上述原则可以较有效地应用于小学数学教学。

This is a systematic teaching and learning experiment aimed atverifying the results of the authors’ previous experiments. It was carriedout in the first grade of the Beiguan Experimental school in Heishan byusing the content of the first book of the current arithmetic textbooks,reorganized by the authors on the basis of the principle of applying theknowledge of the part-whole relationship with " 1 " as the underlying basis.The results obtained in the more than one year’s experiment with the pupilsfrom Heishan, show that, under such a knowledge structure, children of theexperimental class learned within the same period the contents of about150 teaching hours more than those in the control class, that the results ofthe examinations obtained by the experimental class are near to or even alittle better than those obtained by the comparative class, and that thecompetence of the former for learning transition is higher than that of thelatter. This illustrates that the above principle can be effectively applied tothe learning of arithmetic in the primary schools.