研究性数学、教育数学与数学教育

数学可分为研究性数学和教育性数学。研究性数学主要注重科学逻辑的序,而教育性数学则注重科学逻辑的序与认知心理的序之间的完美结合,后者即“教育数学”。教育数学是在研究性数学基础上的再创造、再提高,教育数学对数学教育改革具有深远的意义。     

数学软件与大学数学教学

本文分析了数学软件对数学教学改革的促进作用,以及高等学校数学教学对数学软件依赖性,指出要正确处理好数学软件与数学教学的关系,合理有效地发挥数学软件在数学教学中的作用。     

数学文化的教育功能及启示

数学是人类的一种文化,它的内容、思想、方法和语言是现代文明的重要组成部分。数学文化具有传统性、渗透性、哲学性、美学性和自我完善性等特征,进行数学文化教育能帮助学生形成正确的数学观、促进学生深刻理解数学的本质、发展理性精神。在数学教学中要注重科学主义与人文主义目标的整合、要揭示数学文化的内涵,多角度开展数学文化研究。     

多媒体软件技术辅助高职数学教学利弊探究

随着现代科学技术的发展,多媒体课件教学技术已经越来越受到学生们的认可与关注。多媒体实践性教学成了高职数学教学的全新领域,并逐步取代传统思维的教学方式。大量的信息及生动直观的影像和快捷的连接方式使老师在教学手段、教材观念、教学形式与方法、教学思想、课堂教学结构与教学理论的教学利弊进行探究。     

Motivating adults to learn mathematics in the workplace: a trade union approach

ABSTRACT

The aim of this qualitative study is to explore adults’ motivation to learn mathematics in the workplace and the role that the trade union education approach promoted in the United Kingdom plays in that motivation. The findings draw on data from 20 semi-structured in-depth interviews with adults learning mathematics, organised through their trade union representatives. Trade unions promote education which uses teaching and learning approaches based on collectivist and activist principles, which is different from mainstream education, so the research explores what might be learnt from this approach. The findings show that the trade union-led approach enables even long-held negative feelings towards mathematics to become positive. The research finds a strong link between supportive social networks, including Union Learning Representative, as well as positive social and emotional encounters in the classroom that develop adult learners’ confidence, increasing their motivation to both learn and use mathematics in their everyday lives. This change in feelings and motivation is termed an Affective Mathematical Journey. These findings, while taking place in a non-traditional context, nevertheless are relevant to practitioners working with adults in both traditional (school and college) and non-traditional (workplace and community) settings. There are also indications of the positive influence this learning has on the relationship between individual members and their trade union organisations.     

Toward inclusive mathematics education: a metatheoretical reflection about countering ableism in mathematics standards and curriculum

This article documents efforts to advance inclusive mathematics education practices involving the introduction of equity-oriented resources in state-level mathematics standards guidance documents in a Midwestern United States jurisdiction. We adopt a critical stance by looking at ways to interrogate available metatheories for these kinds of change-making processes. The guiding resources documented in the present article center on issues of difference. These issues are related to dis/ability in mathematics education standards and curriculum to not only raise teachers' awareness of constructions of difference in order to foster inclusive education, but also to promote critical self-reflections around ableism. Guiding resources are a means to support recognition of dis/ability difference as a source of multiple mathematical knowledge bases from which to learn and advance mathematics thinking. Yet, we also recognize the need to be vigilant about the complex interpretative contours and the relational dynamics at work throughout their various layers of implementation, assessment, and anti-ableist realignment. Accordingly, we reflect metatheoretically about three questions: How might concepts of access, achievement, identity, and power support teachers of mathematics in advancing inclusive practices? How do word choices in mathematics standards, curriculum, and practices dis/able students in classroom practices? What may we learn from the mathematics education experiences of individuals with dis/abilities and their families in the broad configuration of change-making dynamics of educational policies and teaching practices?     

Identifying affective domains that correlate and predict mathematics performance in high-performing students in Singapore

Past studies have shown that distinct yet highly correlated sub-constructs of three broad mathematics affective variables: (a) motivation, (b) attitudes and (c) anxiety, have varying degree of correlation with mathematics achievement. The sub-constructs of these three affective constructs are as follows: (a) (i) amotivation, (ii) external regulation, (iii) introjection, (iv) identification, (v) intrinsic motivation; (b) (i) enjoyment of mathematics, (ii) self-confidence in mathematics, (iii) perceived value of mathematics; (c) (i) anxiety with mathematics and (ii) ease with mathematics. This study identifies, both within and across these three affective variables, the key sub-constructs that educators should focus upon when selecting learning process variables for mathematics achievement. Results were analysed using a series of stepwise regression analyses using data from 1018 Grade 12 students enrolled in a top pre-tertiary institution in Singapore, both for concurrent and predictive relationships, and also for both genders. Results of this study showed that after taking into account self-confidence in mathematics and ease with mathematics, all other sub-constructs of mathematics motivation, attitudes and anxiety were not significantly correlated with mathematics achievement. This is true for both concurrent and predictive relationships, and for both genders. Implications of the results of this study are twofold. First, results of this study provide educators with priority affective variables to focus upon in their efforts to enhance performance in mathematics via the affective domain. Second, in situations where administration time is limited, it may be possible to consider only self-confidence and ease with mathematics when investigating relationships between affect and mathematics achievement.     

高等职业院校高等数学课学习动机激发策略

高等数学是高等职业教育的一门重要的基础课。我国大部分高职院校高等数学的教学效果并不理想,未能达成预定的教学目标,其中一个很重要的原因就是学生对该学科认知不足,学习动机缺乏。奥苏贝尔学习动机理论认为学习者的学习动机将直接影响着学习效果,因此,有必要提出高等职业院校高等数学课学习动机激发的几点策略。     

离散数学课程改革探讨

在阐述离散数学对计算机教学,实施科教兴国战略重要性的基础上,对离散数学教学制定教学大纲的原则,选择教学内容的依据和课堂教学的方法进行研究和探讨。     

现代教育技术在数学教学中应用的思考

现代教育技术广泛的应用于数学教学中已经成为新世纪数学教育的标志之一。本文中我们将探究一些对把现代教育技术引入课程一些较重要的设想和反思,比如怎样将“高科技”转化为“高质量的教学,”如何实施高期望值的教学以取得良好的成绩等,并对如何将现代教育技术恰当地引入数学课程提出一些可行的建议。     

Changes in school mathematics knowledge in Greece: a Bernsteinian analysis

The purpose of this paper is to critically examine the changes that took place in school mathematics knowledge for pupils aged six and seven (first grade of Greek elementary school) and its pedagogical approach, which took shape following the reforms of the mathematics curricula in 1982 and 2003. Our analysis is based on Bernstein’s theoretical framework on pedagogic discourse and Dowling’s theoretical framework on textual domains. The results showed that there are differences between the 1982 and 2003 reforms, in terms both of the content of mathematics knowledge, as well as of the forms of pedagogic interaction between the teacher and the pupil.     

高等数学教育创新模式的探索与思考

一直以来,高等数学教育都被认为是最枯燥乏味的教学科目之一。随着教育模式的不断创新,很多教学工作者也在探索关于高等数学教育的创新模式,希望通过一系列的改革让学生重新认识高等数学的教育内涵。本文从高等数学的现状说起,深入剖析了进行高等数学教育创新的必要性,并提供一套可行的创新方法,供大家参考。     

以注意为中介:现代教育技术对学习动机的影响

现代教育技术通过影响学习者的注意力来帮助学习者提高学习效果,从而间接地影响学习者的学习动机。不同类型知识的学习对学习动机的影响是不同的。学习形象化知识时,现代教育技术对学习者学习动机的促进作用要比抽象化知识的作用要大。学习者本身的学习动机类型也影响着这种作用的发挥。     

Development of computer play pedagogy intervention for children with low conceptual understanding in basic mathematics operation using the dyscalculia feature approach

This study describes the development of a basic computer-based play pedagogy intervention using a dyscalculia-remedy-oriented approach such as repetition and number orientation manipulation, and the investigation of its effect on children displaying dyscalculia characteristics. This computer play was evaluated in a group of 50 seven-year-old Malaysian children, who were low achievers in mathematics subject and were divided into control and intervention group. The intervention group engaged with the newly developed computer play for an hour per day for five consecutive days, while the control group attended normal classroom learning for the same time period. Overall post-test scores indicated that children from the intervention group performed significantly better than the control group after the five-day intervention period by 57.9%. Number disorientation and arithmetic operation confusion, which are common amongst the children displaying dyscalculia characteristics, were also significantly reduced after the intervention. This implies that the children benefitted from the computer play.     

高等数学与信息技术的整合

论述了信息技术的发展对高等数学所产生的深刻影响,利用信息技术与高等数学的整合,发挥信息技术辅助高等数学教学的优势,能够提高教师进行高等数学的教学效率,并且激发学生学习高等数学的兴趣。同时对高等数学与信息技术的整合,提出了思考和一些合理化的建议。     

Student primary teachers improving their mathematics subject knowledge: cognition and affect intertwined

This paper describes a study conducted with a random sample of 80 student primary teachers drawn from all four years of the Bachelor of Education (BEd) programme at a teacher education institution in Scotland, with a view to determining why there were such differing levels of engagement with an online maths assessment. The assessment was created in an attempt to address deficiencies in subject knowledge in order to reduce the amount of time spent on mathematics remediation, and to raise awareness of the levels of mathematics competence required in the primary classroom. Study of the reasons behind the differing patterns of engagement with the assessment revealed that two thirds of the group were able to reach a competence threshold and often to improve upon it by some way; a worrying third of the students, however, made little attempt to use the tool to improve their subject knowledge. A further finding indicated that students who engaged with the online assessment reported improving levels of confidence in mathematics.     

A multidimensional analysis of changes in mathematics motivation and engagement during high school

Despite concerns about declining interest and enrolments in mathematics, little research has examined change in a broad range of constructs reflecting mathematics motivation and engagement. The current study used an 11-factor model of motivation and engagement to evaluate levels of maths motivation compared to general academic motivation and to assess group-level and individual-level changes in maths motivation during secondary school. In a multicohort-multioccasion design, Australian students completed an adaptation of the Motivation and Engagement Scale in two consecutive school years. Ratings in mathematics were lower than general academic motivation on several scales but particularly on the planning and task management scales and for the year seven cohort. Mean ratings of valuing and task management decreased over the two years, while stability of mathematics motivation was moderate. Girls reported stronger anxiety, uncertain control and failure avoidance than boys, despite also reporting greater mastery focus. The findings demonstrate that a multidimensional model facilitates a differentiated analysis of possible reasons for a waning interest in mathematics.     

Effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers

An experiment was conducted to examine the effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers at a middle school in the North‐West Province of South Africa. Forty standard (std) 7 pupils were identified whose non‐verbal general ability and previous mathematics achievements were significantly lower than those of other std 7 pupils. These subjects were randomly assigned to an experimental group and a control group. Metacognitive strategies in solving mathematical problems related to four mathematics topics were individually taught to the members of the experimental group, while the pupils in the control group were taught the four mathematics topics through the conventional method of teaching mathematics. The comparisons of pretest and posttest measures of general ability, metacognitive awareness, attitude towards mathematics, and mathematics achievement revealed that the posttest scores of all the four variables for the experimental group were significantly higher than those for the control group.     

以数学建模课程推动高职高专数学教学改革

本文分析了高职高专的数学教学现状,阐述了开展数学建模教学的必要性,以及推动高职高专数学教学改革的一些教学设想。