Development of an attitude-towards-using-mathematics scale for high-school students and an analysis of student attitudes

ABSTRACT

This research has been carried out in two stages and has two main objectives. The first aim of the study is to develop a Likert-type scale which is used to determine the attitudes towards the use of mathematics in real life. The second aim is to examine the attitudes of high school students about the use of mathematics in real life according to different variables used in the developed scale. The research was carried out according to the correlational research method, and the participants comprise the sample of 340 and 356 students for the scale development and implementation stages of the study, respectively. As a result of the research, a structure consisting of 23 items and three sub-factors was determined for the scale. In the second stage of the study, it was observed that the student attitudes were at the level corresponding to the ‘undecided’ option of the scale, and they differed significantly according to gender and grade level variables. In addition, it was found that there was a positive and significant relationship between the students’ attitudes towards the use of mathematics and their mathematics achievement.     

数学优生与差生的素质差异的比较研究

本文通过对初中学生基础素质指标与学习成绩的多元统计分析,探讨了数学差生与优生的素质差异,从不同群体的基础素质对数学学习成绩的影响,研究培养优生与转化差生的不同策略。 本项研究得到世界银行贷款的资助,获96年山东省普通高等学校优秀教学成果二等奖;98年1月通过了国家教委世行贷款办主持的鉴定。99年3月获“1998年度全国师范院校基础教育改革实验优秀成果”二等奖及世界银行贷款“师范教育发展”改革课题实验研究优秀项目二等奖。     

“一体三翼”教学模式在工科无机化学教学中的应用与实践*

为适应当前复合型人才培养需求和提高学生自主学习能力和创新意识,在对大学一年级新生进行无机化学教学时需坚持以学生为主体的教学理念,并努力同时提高他们的思想政治素质、理论联系实际能力和科学研究素养。为此,提出“一体三翼”教学模式。然而,大多数工科院校无机化学课程的授课学时有所压缩,这对任课教师来讲是一种巨大挑战。通过“线上-线下”混合式教学解决学时不足问题,并通过学生课程参与度、学生学习成绩及教学反思等形式检验“一体三翼”教学模式的教学实践成效。     

“一体两核四结合”的“原子物理学”线上线下混合教学模式的探索与实践

本文依托“原子物理学”省级线上线下混合式一流课程的建设,借助尔雅通识网络课程平台,运用学习通智慧教学软件,积极开展了“原子物理学”混合教学模式的探索与实践.通过在线资源建设、教学模式探索、教学模式实践等过程,转变教学观念,创新构建了“一体两核四结合”混合教学模式,为地方高校进行线上线下混合教学模式的改革提供一定的参考与借鉴.     

Mathematics identity and achievement among Black students

Employing data from the National Center of Educational Statistics' High School Longitudinal Study and utilizing critical race theory and intersectionality as theoretical frameworks, this article interrogates the relationship between mathematics identity and math success for a nationwide sample of Black secondary school students. More specifically, hierarchical regression modeling is employed to examine the relative impact of math identity, demographic variables, and school/parent social capital variables on the math grade point averages of this sample. The article ends with a discussion of specific steps for teaching mathematics that put the identity of those from traditionally marginalized communities at the center of mathematics instruction. Thus making experiences, histories, culture, and abilities essential elements of students' learning, that are to be supported and built upon.     

Hispanic students’ mathematics achievement in the context of their high school types as STEM and non-STEM schools

The purpose of this paper is to demonstrate Hispanic students’ mathematics achievement growth rate in Inclusive science, technology, engineering, and mathematics (STEM) high schools compared to Hispanic students’ mathematics achievement growth rate in traditional public schools. Twenty-eight schools, 14 of which were Texas STEM (T-STEM) academies and 14 of which were matched non-STEM schools, were included in this study. A hierarchical linear modelling method was conducted. The result of the present study revealed that there was no difference in Hispanic students’ mathematics achievement growth rate in T-STEM academies compared to Hispanic students’ mathematics achievement growth rate in comparison schools. However, in terms of gender, the results indicated that female Hispanic students in T-STEM academies outperformed female Hispanic students in comparison schools in their mathematics growth rate.     

Synergies among students’ thinking modes and representation types in linear algebra: employing statistical implicative analysis

In this work, students’ thinking modes and representation types in linear algebra are investigated through statistical implicative analysis techniques. Specifically, our research question considers the implicative relationships between students’ thinking modes and representation types of linear algebra. The participants were 74 undergraduate linear algebra students enrolled in the department of mathematics education of a government university located in western Turkey. The data was collected using six paper-and-pencil tasks, relating to a context of linear equations, matrix algebra, linear combination, span, linear independency–dependency and basis. A document analysis technique was used to analyze the data within a theoretical lens of thinking modes and representation types. To delineate similarity diagrams, hierarchical trees, and implicative models (which will be detailed in the paper), an R version of Cohesion Hierarchical Implicative Classification software was used. According to the results, students’ analytic structural thinking modes on linear combination and span and linear independency significantly imply the use of algebraic and abstract representations. The results also confirm that the notions of linear combination and span and linear dependency/independency are core elements for theoretical thinking and are needed for learning linear algebra.     

ANALYSIS AND PRACTICE OF FACTORS AFFECTINGPHYSICAL EXPERIMENT TEACHING RESULTS

本文讨论了影响物理实验教学效果的五个方面的因素,并探讨了如何加强实验内容和方法的改革,加强设备和环境的管理,充分调动人的能动性,提高教学质量,以适应时代发展需要。     

科学缓解学生心理压力 提升化学研究生培养质量

人才强国战略对研究生的综合素质培养有着越来越高的要求,而面对当前研究生承受各种压力、心理问题日益凸显的现状,不仅要重视研究生科研能力培养,更要重视其心理健康的发展,继而培养出全面发展的高素质人才。以吉林大学化学学科为依托,探讨化学研究生的心理压力问题,采用积极心理学方法进行分析,并采取针对措施,缓解化学研究生心理压力,促进研究生心理健康,提升研究生培养质量。     

模糊层次分析法及在军校学员综合素质评估中的应用

通过定义模糊数的限位系数 ,得到由限位系数确定模糊数排序的新方法 ,并将其运用于层次分析排序 ,改进了层次分析法的理论及方法 .最后介绍了模糊层次分析法在军校学员综合素质评估体系中的应用实例 .