Preparing teachers for realistic mathematics education

A shift in mathematics education in the Netherlands towards the so-called realistic approach made it necessary to prepare prospective teachers for a type of curriculum different from what they experienced as pupils. This article describes the characteristics of a preservice programme aiming at this goal and presents an analysis of the development of the student teachers' views of mathematics and mathematics education during the programme as well as their classroom behaviour. This analysis is based on two research studies. The first was a longitudinal study in which the student teachers were followed during years by means of questionnaires and interviews. The second was a study in which graduates from this programme were compared with graduates from a more traditional preparation programme by means of two teacher questionnaires and a pupil questionnaire, the latter measuring the pupils' perceptions of the actual teaching behaviour of the graduates. The teacher education programme appeared to be successful in changing the student teachers' views of mathematics education, especially in the direction of a more inquiry oriented approach, and in promoting effective teacher behaviour in the classroom. As far as their facilitating role as a teacher is concerned, the student teachers seemed to go through a two-stage learning process. Most of them reached the first stage, in which they realize that pupils have different preferences for learning and that a variety of possible explanations for problems should be offered. However, only a small number of student teachers seem to reach the second stage, in which they recognize the principle of building on pupils' own constructions, an important feature of realistic mathematics education. Possible explanations for the low impact of the programme, as well as solutions are discussed.     

The use of ICT in teaching religious education in primary school

Education and Information Technologies - The purpose of the present study is to investigate students’ understanding of Religious instruction and more specifically the understanding of the...     

The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage

The purpose of this article is to describe how, within the Dutch approach to mathematics education, called Realistic Mathematics Education (RME), models are used to elicit students' growth in understanding of mathematics. First some background information is given about the characteristics of RME related to the role of models in this approach. Then the focus is on the use of the bar model within a longitudinal trajectory on percentage that has been designed for Mathematics in Context, a curriculum for the U.S. middle school. The power of this model is that it develops alongside both the teaching and the students: from a drawing that represents a context related to percentage to a strip for estimation and reasoning to an abstract tool that supports the use of percentage as an operator. This revised version was published online in August 2006 with corrections to the Cover Date.     

数学教学的思想教育功能

本文从数学教学内容、数学实践训练方式、数学发展等几个方面，阐述了数学教学中包含的唯物辩证法思想和具有的思想教育功能。     

试谈数学教学中的美育问题

数学中的美的因素无处不在：简洁性、对称性、和谐性、奇异性，无不闪烁着美的光华．教学教育工作应使这些美因在教学中加以体现，或直观形象，或简洁方式，或扩展想象，让美的思想贯穿于课堂教学的始终．     

基于分层教学理论的高中数学教学

分层教学根据学生的实际情况采用个性化教育方式,解决了一锅端、一刀切教学所无法解决的问题,尤其适合在水平良莠不齐的教学班中运用。本文从分层教学的定义、学生定位、实施策略几个方面探讨了分层教学在高中数学教学中运用的可行性。     

以数学实验室为基地创新驱动数学课程教学改革

数学作为高校教育的基础课程,教学效果的优劣对高校人才的培养起着关键作用。针对新形势下传统数学课程教学模式已不能适应高校教育需求的问题,分析了目前对数学课程教学改革认识上存在的偏差,并分别从教学目标、教学效果、功效发挥这3个方面阐述了数学实验室建设对促进数学课程教学改革的必要性,以及在人才培养方面所起的作用。     

在数学教学中渗透情感教育之我见

前苏联著名教育家马卡连柯认为 :解决教育问题的是教育技巧 ,而教育技巧的全部奥秘就在于如何爱护学生 ,如何沟通师生间的情感。现代教育理论研究指出 :小学生正处于生理发育与发展的阶段 ,是提高素质的重要时期 ,在这个时期学生的心理发展主要体现在情感的发展上。教师只有对学生倾注情感 ,让情感在一些活动或交往中不知不觉地滋生、发展 ,这样 ,学生才会亲其师而信其道。在小学数学教学中渗透情感教育 ,容易消除师生间的情感障碍 ,达到心理相容 ,特别是差生那紧闭的心扉 ,也自然会向教师敞开。一、创设情境 ,激发学生自主学习的情感苏霍姆…     

Evaluating the use of ICT in engineering education

This paper is based on an evaluation of a mixed mode course called Learning Numerical Methods for Partial Differential Equations from the Web. The authors discuss the impact of information communication technology (ICT) on the provision of tertiary education and cite the course as an example of how it can be used at the subject level. The course employed ICT in a number of different ways. The introductory part of the course was held in a specifically designed video-conferencing facility that had a range of ICT capabilities. The design of the room is critiqued as is the use that was made of it. Throughout the paper the authors emphasize the point that ICT is a powerful tool for teaching and learning but failure to plan, deliver and assess ICT-based courses on sound pedagogical grounds merely means that poor teaching and learning practices are disseminated more widely and more quickly. On the basis of our evaluation we propose a simple set of questions that can be used to evaluate the best use of ICT in engineering education.     

基于数学文化的高等数学教学

近年来,数学文化已经在数学界受到普遍关注,从小学数学一直到大学数学的教学中都能够看到数学文化的内容。基于数学文化的高等数学教学,不仅增强了数学的趣味性,脱节想象被很好的克服,而且无论是在教学内容、教学方法,还是教学理念上也得到了衔接和提升,对于学生的综合素质和创新能力的培养起着促进作用。但是事实上,数学文化在数学教学中的运用并不可观,需要进一步深入思考研究。     

基于应用为导向的高等数学教学

高等数学是学好专业课程必备的工具基础,是专业飞跃之灵魂,将抽象的数学理论应用到具体的专业实践中去是专业课发展的方向。本文客观分析了我国高等数学教学中存在的问题,并从微积分、概率论与数理统计两个方向,讨论了在高等数学教学中,如何引导学生动手参与数学建模处理实际问题,旨在唤起学生学习兴趣,以期大面积提高高等数学教学质量。     

探讨高等数学教学中的创新教育

提出在高等数学的课堂教学时,引入“抽象模式、数学结构”教学法,采取课堂讨论等措施,在高等数学教学中体现创新教育理念。运用督促检查法、网上评阅答疑法、作业评改小组法等方法,改进高等数学作业的评阅方式。采用多渠道评价方式代替单一考试评价方式。对高等数学的这种创新教学的效果进行了调查和分析。     

论中职学校数学教学中的心理健康教育

由于中职学生文化素质较低,在学习上有相当大的困难,其成长过程中产生的逆反心理和脆弱、孤独的封闭心理等问题也影响学习．数学是中职学生学习困难、易于厌学的主要学科之一,成绩的优劣元不与学生心理品质息息相关．因此,数学教学过程要善于捕捉学生心理问题的各种信息,及时了解学生的内心世界,并采取灵活、巧妙的办法,因材施教,适时、适度地渗透心理健康教育,帮助学生妥善地处理心理问题,使学生具有良好的心理品质、健全的人格和较强的社会适应能力,以促进其心理健康发展,从而提高中职学生的数学素质．     

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。     

浅谈数学课堂中如何实施创新教育

教师在教学中要善于探索创新教育 ,研究如何激发学生积极、主动探究知识、开动脑筋的方法 ,注重培养学生的创新意识 ,训练学生的创新思维 ,开发学生的创新能力 ,才能真正实现教学创新。我们作为培养跨世纪人才的教育工作者 ,在课堂上要紧紧抓住培养学生的创新精神不放 ,致力于研究在发展学生共性的基础上让学生的个性也得到充分发展 ,在促进全体学生全面发展的前提下 ,同时让有特殊才能的学生脱颖而出 ,这也是摆在我们每一位教师面前的义不容辞的责任。如何在数学课堂上实践创新教育思想呢 ,下面简单地谈谈我在教学中的几点体会。一、营造创…     

高等数学分层次教学的可行性分析

随着高等教育由精英教育向大众教育的转化,教学改革势在必行.结合高等数学课程实际及其他高校实施分层次教学的情况,通过调查、分析,认为在普通高等院校实施高等数学分层次教学是必要的而且是可行的.     

高职高等数学应用性教学探讨

高等职业教育具有素质教育和就业教育的双重属性,培养对象和培养目标都具有一定的特殊性。本文从职业教育的培养目标出发,结合数学学科特点,探讨如何在高等数学中加强应用性教学,培养学生应用数学的意识和能力。     

浅谈高中数学教学的创新教育

教学不是为了教,而是为了学,“教是为了不教”,“学是为了学会,会学”。教学不仅让学生继承,还要让学生去创造,使教学过程成为师生双方相互交流、相互沟通、相互启发、相互补充的过程,在这个过程中,教师经常“有惊喜”,经常“被难住”,从而使教学过程成为教师与学生分享彼此的思考、经验和知识,交流彼此的情感、体验与观念,从而达到共识、共享、共进。