Using the Environment in Mathematics and Science Teaching: An African and Aboriginal Perspective

A strong case is made in this paper for the effective utilisation of the learner's environment for science and mathematics teaching in African, rural, and Aboriginal societies. Dwelling on the rich cultural heritage of indigenous, traditional, and rural settings, the paper attempts to explain why, and show how this heritage can be advantageously tapped and transferred to modern day mathematics and science classrooms and laboratories. The need for the integration of school science and mathematics with the lived experiences of learners in indigenous cultures where factors such as folklore, myths, legends, and taboos play powerful roles is also discussed. Integrating the environment into school teaching/learning, the paper argues, would contribute to an effective mathematics-science-environment-society interaction. Additionally, the approach could boost enrolment and performance in mathematics and science for students from indigenous cultural backgrounds, many of who shy away from these areas of study in present-day schools.     

An Experiment in Using the Internet in Teaching and Learning Mathematics

Journal of Science Education and Technology - This article describes how the world-wide web is currently used by a mathematics educator. The author describes a multi-phase teaching experiment...     

Integrating the Learning of Mathematics and Science Using Interactive Teaching and Learning Strategies

To help students grasp the intimate connections that exist between mathematics and its applications in other disciplines a library of interactive learning modules was developed. This library covers the mathematical areas normally studied by undergraduate students and is used in science courses at all levels. Moreover, the library is designed not just to provide critical connections across disciplines but to also provide longitudinal subject reinforcement as students progress in their studies. In the process of developing the modules a complete editing and publishing system was constructed that is optimized for automated maintenance and upgradeability of materials. The result is a single integrated production system for web-based educational materials. Included in this is a rigorous assessment program, involving both internal and external evaluations of each module. As will be seen, the formative evaluation obtained during the development of the library resulted in the modules successfully bridging multiple disciplines and breaking down the disciplinary barriers commonly found in their math and non-math courses.     

语言视角下的数学教学

积极开展数学教学与学习活动的语言研究是数学教育深入发展的必然要求。主要包括:第一,数学学习在很大程度上可以看成一种语言学习,我们应注意分析这种活动的文化含义;第二,教师在教学中应当很好地处理日常语言与数学语言之间的关系,特别是,我们既应对学生的非正规解释持接受与理解的态度,又应注意维护数学的正式意义;第三,在注意培养学生符号感的同时,数学教师也应努力发展自己的语言意识。     

HPM视角下的高等数学教学

本文通过极限和悬链线的教学片段,提出高等数学教学中的HPM问题,认为历史文化向度的数学教学可以起到增加数学课堂趣味性、预见和解释学生的学习困难、让学生领会数学价值、领略数学美的重要作用。     

在概念教学中"学数学做数学用数学"

数学概念教学应以培养学生用数学的意识为指导，重视概念的生成过程，把概念学习变为“学数学、做数学、用数学”的过程，为此，在教学中应注意以下几点：（1）将学生带回现实中，（2）将学生带入问题中；（3）引导学生学习数学化；（4）在概念的实例中体会数学。     

中学数学教学目标技能化的透视与对策

历史与现实造成了数学教学存在只顾书本知识、运算技能和推理技能方面目标而忽视其它方面目标的技能化倾向,这种倾向极大地限制了学生思维等各种能力的发展。为此,我们需要完善教学评估机制,增大教学的研究性成分,调整教学的着重点。     

College Science, Mathematics, and Methods Teaching Faculty Talk About Science and Mathematics: An Examination of Faculty Discourse in a Reform-Based Teacher Preparation Program

In this study discourse and conversation analyses were performed on talk by science and mathematics teaching faculty participating in reforming content courses for teacher candidates participating in a mathematics and science teacher preparation project (upper elementary and middle level). The context of the study was the Maryland Collaborative for Teacher Preparation (MCTP), a National Science Foundation funded project in the USA. The study's goal was to explore the use of discourse and conversation analyses as ways to understand faculty beliefs concerning mathematics and science, two disciplines the MCTP project aimed to connect. Discussion focused on two areas: (1) the comparison of the discourse on science and mathematics by the science, mathematics, and pedagogy content specialists, and (2) the impact of collaboration on the science and mathematics teaching faculty's conversation on science and mathematics. An implication of this study is to promote the analysis of talk as way to inform and direct faculty transformation in science and mathematics teacher education programs. Future research is recommended.     

儿童立场：基于多元智能理念下的数学教学

“童话教育促进儿童多元智能发展的研究”课题以儿童为本位、以课堂为主阵地研究童话促进儿童多元智能的发展。作为数学教师,除了要解读文本,探寻教材的深度、广度、厚度外,更多的应研究儿童．探究多元智能在数学教学中的作用。从解读儿童的经验留存、研究儿童的个性差异、探寻学生的认知风格、思考学生的学习障碍等方面挖掘儿童的潜在智能,让儿童立场成为多元智能起飞的跑道。     

建构主义视野下高等数学的教与学

建构主义是新一轮数学教育改革的理论基础。在分析高等数学教学的现状和存在的主要问题的基础上,以建构主义理论为指导进一步探讨了高等数学的课程观、学习观和教学观。     

网络环境下的小学数学课堂教学

运用网络化教学手段构建充满生命力的教学体系是当前教学改革的一项重要举措。网络环境下的小学数学教学,为学生提供了与现代数学教学接轨的平台。网络技术的先进性和时代性,逼真地营造和创设出不同的生活情景．让学生轻松地接触到现实社会的生活景象,缩短与现实社会的距离,感受现实生活的数学化。     

数学探究教学的条件:认识论的视角

探究既是学习的主要特点,也是新课程改革所倡导的学习方式.教学是一种特殊的认识活动,认识论的视角有助于深化对数学探究教学的认识.必要的认知冲突、适度有效的教师引导、相应的知识能力准备、较强的反思监控能力是实现学生主动建构的基本条件.     

An Account of a Teacher's Perspective on Learning and Teaching Mathematics: Implications for Teacher Development

This report presents an account of one teacher's mathematics teaching and a perspective that underlies his teaching. Nevil was a fifth grade teacher participating incurrent mathematics education reforms in the United States. Through the account, we make distinctions about teachers' thinking and practice that can inform teacher education efforts. We constructed an account by analyzing four sets of classroom observations and interviews. We observed that Nevil decomposed his understandings of the mathematics into smaller components and connections among those components. He created situations that he believed made those components and connections transparent and attempted to elicit those connections from the students. This account illustrates a practice that is different both from traditional practice and the type of practice that we would envision as a goal for teacher development. We contribute two important aspects of mathematics teacher development from traditional to reform-oriented teaching. In particular, we describe teachers' perspectives – assimilatory structures that constrain and afford (a) the sense they make of professional development opportunities and (b) their potential learning in teacher education settings. This revised version was published online in August 2006 with corrections to the Cover Date.     

论提高高等数学教学的科学性和艺术性

高等教育本质上应该是一种素质教育,高等数学是理工类的一门很重要的基础课程,针对高等数学教学中存在的教师“难教”、学生“难学”的情况,如何在新的形势下提高教学质量就显得尤为重要。因此,有必要对目前高等数学教学的科学性和艺术性及其提高措施进行探讨。     

Gender Differences in Science: An Expertise Perspective

The purpose of this paper is to propose a new approach to research on gender differences in science that uses the work on expertise in science as a framework for understanding gender differences. Because gender differences in achievement and participation in the sciences are largest in physics, the focus of this review is on physics. The nature of expertise is first discussed and a framework that focuses on factors that influence the emergence of expertise in physics is presented. This is used to interpret what is known about gender differences in science, particularly physics. Next, the potential contributions of the research on gender differences to our understanding of expertise are discussed. Using what is learned from these two areas of research, recommendations are made for future research examining gender differences in physics. It is suggested that such an approach be used for other areas of science, such as chemistry, where large gender differences in achievement and participation also exist.     

Using Argumentation to Investigate Science Teachers' Teaching Practices: The Perspective of Instructional Decisions and Justifications

Adopting the concept that “decisions can be seen as argument-driven actions,” the purpose of this study was to apply the argumentation structure raised by Stephen Toulmin (1958) to capture two science teachers' instructional decision-making mechanisms in their teaching practices. The two case teachers were chosen because of their close estimations of their students' achievement outcomes and both were in their transition stages from competent teachers to proficient ones. A science teaching observation coding schedule (STOCS) was designed to be used in classroom observations, and all these quantitative data were collected to be converted into four issues for the two teachers to justify their ways of teaching. A semi-structure interview was conducted to analyze why and how these two case teachers made their instructional decisions. The results indicate that although they knew that their students could not fully understand what they taught in the class, their teaching strategies were still teacher-dominated modes. What really influenced their instructional decisions included external context factors (e.g., examination pressure, subject contents, limited time and classroom management) and internal experiential factors (e.g., personal educated experiences, beliefs and understandings of constructivism and inquiry). Finally, the authors suggest that science teachers' instructional decision making mechanisms can be appropriately represented by case teachers' argumentations structure.     

基于教学范式视角下的高效中学数学教学研究

教学范式是用来描述教学活动中复杂的理论与实践交织的教育现象,是对教学活动最基本的理解和看法。在中学数学教学中普遍存在五种教学范式:科学范式、能力与技能范式、系统范式、艺术范式、反思范式。由于中学数学教学充满复杂性和不可预知性,所以任何单一范式视角的教学都是片面的、不完整的,只有复合范式教学才能达到高效的课堂教学效果。     

The Practice in Merging Mathematics Experiment into the Higher Mathematics Teaching Using MathCAD

探讨了将数学实验课程的教学手段和学习方法应用于高等数学教学实践的思路和方法。从数学教学目的出发,比较了常用数学软件Mathematica、MatLah、MathCAD的优缺点。结合课堂教学和学生自学的需要,给出了选择高等数学课程辅助教学软件的基本思路。通过教学实例分析了利用MathCAD辅助高等数学教学的特点和优势,给出了利用Math—CAD辅助二元函数几何意义教学的设计过程。     

融入数学文化的高职数学教学新视角

数学文化是高职学生文化素质的重要组成部分,在高职院校数学教学中融入数学文化尤为重要.探讨了数学文化对数学教学的意义以及渗透的途径.     

对我校工科数学教学改革的探讨

目前,工科数学教学的现状不尽如人意经典的数学理论与现代数学方法相脱节,加之课程体系中少有涉及现代数学方法使学生对经典、古老的数学理论敬而远之.除应付考试,课余很少将时间花在数学学习上.为此,有必要对数学教学中的教学内容、教学方法、数学建模等方面进行改革和探索,在我校广泛开设数学建模课程和数学选修课,以有效地激发学生学习的兴趣,充分调动学生对数学的求知欲望,从而提高其数学素质和综合素质.