数学全日制专业硕士学科知识掌握情况调查研究

发布时间：2018-06-02 11:31

本文选题：数学专业硕士 + 数学学科知识　；参考：《南京师范大学》2017年硕士论文

【摘要】：在如今日益重视教师素质以及社会广泛关注教育专业的背景下,本文以数学全日制专业硕士为主要对象,对数学全日制专业硕士数学学科知识的掌握情况进行调查研究。本文对数学学科知识的定义构成及现实状况、专业硕士研究现状进行整理分析,结合现行数学课程标准、数学教材,对数学专业硕士的数学学科知识提出数学基础知识、数学思想方法、数学史知识三大维度,在此基础上编制《全日制数学专业硕士数学学科知识掌握情况调查问卷》。对共计百名数学专业硕士和大四数学师范生发放问卷,在统计的基础上,进行整体分析、差异性分析、相关性分析,具体而言,得出以下结论:(1)在整体状况的分析中,全卷平均19.67分,专业硕士群体的均分为20.65分(总分28),标准差为4.59,本科数学师范毕业生群体的均分为17.76分(总分28),标准差为4.96;专业硕士得分高于本科师范毕业生。(2)在数学专业硕士对三大维度的重要性排序中,有54.6%的被试认为数学基础知识重要性排第一,数学思想方法次之,最后是数学史知识。在本科大四的数学师范生对三大维度的重要性排序中,有74%的绝大部分被试认为数学基础知识占首要地位。可见,不论是专业硕士还是本科师范毕业生,均有大部分被试认为数学基础知识最重要,数学作为一门解题研究的学科,基础知识掌握水平能直观反映出解题能力和对数学学科内容的理解。(3)在差异性分析中,通过对数学学科知识及其三大维度进行性别、学历、年级、本科专业四方面的差异性检验,得到如下结论:数学基础知识维度平均7.74分,数学思想方法维度平均5.59分,数学史知识维度平均6.36分,总体数学学科知识水平:女生显著优于男生,研一优于研二但不显著,专业硕士比本科数学师范生有显著优势,本科是数学专业的专业硕士显著优于本科非数学专业的专业硕士。(4)在相关性分析中,教育硕士群体内,三大维度与数学学科知识之间是极显著的正相关,且数学史知识水平对数学学科知识影响最大;从性别上看,女生在三大维度上有两个维度的相关性要高于男生,且不论男女在三维度与数学学科知识总体上呈现显著相关的状态;从年级上看,在三大维度上,研二学生数学基础知识维度与数学学科知识总体相关性大于数学思想方法知识维度与数学学科知识总体的相关性。
[Abstract]:Under the background of paying more and more attention to the teachers' quality and the education specialty, this paper investigates and studies the mastering of the mathematics subject knowledge of the full-time mathematics master's degree as the main object. In this paper, the definition and composition of mathematics subject knowledge and the present situation of professional master's research are analyzed. Combining with the current mathematics curriculum standard and mathematics teaching material, this paper puts forward the mathematics basic knowledge of mathematics master's knowledge. On the basis of the three dimensions of mathematics thought and method and mathematics history knowledge, the questionnaire on the mastering of mathematics knowledge of full-time mathematics master was compiled. On the basis of statistics, a total of 100 mathematics master's and senior mathematics normal school students were given questionnaires. On the basis of statistics, the overall analysis, the difference analysis, and the correlation analysis were carried out. In particular, the following conclusion was drawn: 1) in the analysis of the overall situation, The average score of the whole volume is 19.67, The group of professional masters are divided into 20.65 points (total score 28, standard deviation is 4.59, the group of graduates of undergraduate mathematics teachers are divided into 17.76 points (total score 28, standard deviation is 4.96; professional master's score is higher than that of undergraduate normal graduates. In the order of importance of the three dimensions, 54.6% of the subjects thought that the basic knowledge of mathematics was the most important, followed by the thought and method of mathematics, and the knowledge of history of mathematics. In the ranking of the importance of mathematics normal students to the three dimensions, 74% of them think that the basic knowledge of mathematics is the most important. It can be seen that most of the subjects, whether they are major masters or undergraduate teachers, think that the basic knowledge of mathematics is the most important, and that mathematics is a subject of problem-solving research. The mastery level of basic knowledge can directly reflect the ability to solve problems and the understanding of mathematics subject content. In the difference analysis, the author carries on gender, education, grade through the knowledge of mathematics subject and its three dimensions. The results show that the average score of basic knowledge is 7.74, that of thought and method is 5.59, that of history of mathematics is 6.36, that of knowledge of history of mathematics is 6.36, and that of knowledge of history of mathematics is 6.36. The overall knowledge level of mathematics subjects: female students are significantly superior to boys, research one is superior to research two but not significant, professional masters have significant advantages over undergraduate mathematics normal students. In the correlation analysis, there is a significant positive correlation between the three dimensions and the knowledge of mathematics. And the knowledge level of mathematics history has the greatest influence on the knowledge of mathematics subject, and from the gender point of view, the correlation of two dimensions of female students in the three dimensions is higher than that of boys. Regardless of the significant correlation between men and women in three dimensions and mathematical knowledge in general, in grade, in the three dimensions, The correlation between mathematics basic knowledge dimension and mathematics subject knowledge is greater than that between mathematics thought method knowledge dimension and mathematics subject knowledge.
【学位授予单位】：南京师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G643;O1-4

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