表征视角下小学六年级学生数学问题解决方式的调查研究

发布时间：2018-04-17 09:06

本文选题：表征 + 六年级学生　；参考：《云南师范大学》2015年硕士论文

【摘要】：数学是一门非常重要的基础学科,它是其它学科的学习和发展的基础。小学六年级数学的学习更是为将来的学业进步起到关键性的决定作用,它为今后数学的学习提供了必要的准备。这项研究立足于曲靖市本土的实际,以表征为视角,以数学问题解决为载体,研究三个方面的问题:一是现状调查。了解曲靖市城镇和农村小学六年级学生数学问题解决的方式;二是开展个案研究,对个案的解题策略所用的表征类型进行研究;三是结合文献分析,理论探讨和个案研究,提出提高小学生数学问题解决能力的教与学的建议。这项研究的主要结论是:所调查学校的大部分六年级学生在平均数、比例、面积数学问题解决中的表征水平达到了程序表征水平,在模式问题解决中达到了抽象表征水平,而在数论问题解决中的表征水平只达到直观表征水平;六年级学生数学问题解决的表征水平与数学学习成绩成显著正相关。论文还就提高小学生问题解决能力提出了相应的教学建议与教学策略。这项研究获得了一些有价值的研究成果,分析出了小学生数学问题解决困难的成因,并提出了较为有效的转化策略,今后将以此作为一个研究的新起点,进行更深的研究。
[Abstract]:Mathematics is a very important basic subject, it is the basis for the study and development of other disciplines.The sixth grade mathematics learning plays a crucial role in the future academic progress, and it provides the necessary preparation for the future mathematics study.This study is based on the local reality of Qujing City, taking representation as the visual angle, and mathematical problem solving as the carrier, to study three problems: first, the present situation investigation.To understand the ways of solving mathematical problems for sixth grade students in urban and rural primary schools in Qujing City; second, to carry out case studies to study the types of representation used by individual case solving strategies; third, to combine literature analysis, theoretical discussions and case studies.Some suggestions on how to improve the students' ability of solving mathematical problems are put forward.The main conclusions of this study are as follows: most of the sixth grade students in the school surveyed have reached the level of program representation in the mathematical problem solving of average, proportion and area, and the level of abstract representation in solving the model problem.The level of representation in number theory problem solving only reached the level of intuitionistic representation, and the representation level of mathematics problem solving of sixth grade students was significantly positive correlation with mathematics learning achievement.The paper also puts forward corresponding teaching suggestions and teaching strategies to improve pupils' ability to solve problems.This study has obtained some valuable research results, analyzed the causes of the pupils' mathematical problem solving difficulties, and put forward a more effective transformation strategy, which will be a new starting point for further research in the future.
【学位授予单位】：云南师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G623.5

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