Implementation integrity in peer tutoring of mathematics

A two-year randomised controlled trial of peer tutoring in mathematics using the Duolog Math technique was operated in 80 schools. The aim was to achieve adequate implementation quality with modest pre-intervention training for teachers, who received brief didactic training and no process feedback (but they were to train pupils using modelling, practice and feedback). Implementation integrity was observed in Year 1 in 29 randomly selected schools; in Year 2 in 30 randomly selected schools. In both years some observed variables of class-wide context and individual technique were high; however, some were lower. There were deficits in: teachers introducing the problem, suggesting ways to concretise the problem and holding plenary sessions. Crucially, there was very little summarising or generalising. Thus, implementation was partial in both years, but better in Year 2. The implications for future intensity of training are explored.     

A model for incorporating lesson study into the student teaching placement: what worked and what did not?

This article describes a model for incorporating lesson study into the student teaching placement and reports on the success of the implementation of such a model with student teachers and their cooperating teachers (CTs). Student teachers had the opportunity to discuss many important ideas with each other and their CTs, including “big ideas” of mathematics, and the anticipation of student questions and possible responses. Student teachers also had a built‐in opportunity for peer observation on a regular basis and the opportunity to collaborate with their peers. Certain important aspects of lesson study were not present in this implementation: the teachers involved did not discuss the gaps in their own knowledge with the goal of improving their own mathematical understanding, they did not refer outside sources for ideas for the lessons, and they did not have an overarching affective goal for students. Suggestions are made for teacher preparation in light of these findings.     

水族小学五年级学生提出数学问题能力的调查与分析

本研究运用调查法,从问题的数量、表达、种类、水平等方面,揭示了水族五年级学生提出数学问题的思维特点;分析了制约水族学生提出问题能力发展的主要因素,并提出了相应的对策.     

数学课堂的生成策略

课堂教学是一个动态、生成的过程,是学生自主探究、主动发现问题的过程。有效生成是素质教育的要求,也是课堂教学的根源所在。在课堂上,活动的主体应是学生而不是老师,让他们带着问题参与课堂活动,并自主合作,探究学习,彰显课堂生命与活力,让课堂教学充满智慧的灵光。     

把数学美与辩证思想融入高等数学教学

通过对高等数学内容的剖析,把数学美与辩证的思想融入高等数学教学过程,以激发学生的学习兴趣,提高教学效果.     

数学本质的语境论解释

＂数学本质究竟是什么＂是当代数学哲学争论的核心问题之一。对象柏拉图主义认为数学的本质在于研究一些独立的个体对象,结构主义主张数学本质的核心是抽象结构。语境论在阐明传统解释存在缺陷的基础上,运用语境分析对＂数学本质＂给予了新的解释———在形而上学层面,数学本质是概念;在数学实践层面,数学本质是开放的。更重要的是,如何理解＂数学本质＂本身就是一个依赖语境的问题。     

“几何”曾经不是几何学明末“几何”及相关学科命名新探

徐光启和利玛窦一起翻译了《几何原本》,这是一个中西数学、科学甚至文化首次实质性交流的重大历史事件。然而学界目前对“几何”的中西来源及其含义以及与之相关学术的研究颇多值得商榷之处。本文从已有研究出发,通过对原始文献的详细解读,对“几何”、“几何府”、“几何家”、“几何之学”、“几何原本”等词汇的来源和含义提出了与以往不同的观点。     

高等数学的趣味教学法研究

本文结合自己的教学经验从七个方面探讨了高等数学课程的趣味教学方法,这些教学方法简单易行、发人深省,从而为广大的教师工作者提供很好的借鉴作用。     

让小学数学课堂成为思维的乐园——关于课堂提问“有效性”的探讨

数学教学最重要的不是教会学生如何计算、如何解题,而是教会学生如何思维。对于课堂教学,有效的提问是发展学生思维的重要手段。但在当前的小学数学课堂教学中,教师为了迎合新课程改革的要求便以多提问来凸显师生间的互动,结果造成教师只顾提问却无暇顾及所提问题是否真正激发了学生的思考,使课堂提问趋于形式化。本文针对小学数学课堂教学中课堂提问的现状来探讨如何提高课堂提问的有效性。     

如何利用情感教育提高高中数学教学效率

在新课程理念的指导下,高中数学教改效果显著,情感教育广泛实施,然而课堂教学效率低的问题却始终存在。在高中数学教学中发挥好情感教育的作用,提高课堂教学效率需要广大教育工作者认真研究,总结实施。