观念刷新:数学新课程改革的支点

数学课程改革无疑是数学教育改革的核心问题 ,也是数学教育改革中最为复杂的系统工程 .扑面而来的数学新课程改革 ,迫切要求广大中学数学教师在前瞻性与现实性结合上对新课程改革方向加以明确 ,在理论与实践结合上对新课程改革的意义、作用和操作予以理解 ,在规范与创新上对新课程改革的体系结构予以充分把握 .在数学新课程改革的浪潮中如何更好地适应数学新课程改革这些新要求 ,以确保自己“适者生存”并永远“胜似闲庭信步”呢 ?我们认为关键仍取决于教师在数学教育教学理念上能否有一个突破 .因为被誉为中国教育改革史上的一次“五四运动…     

新课程数学课堂教学必须重视的五个问题

数学新课程的实施更新了数学教师的教育观念，改善了学生的学习方式，在课堂教学过程中，师生均焕发出了生命的活力．但是，由于一些数学教师对数学新课程标准中教育理念的认识还存在偏差，所以无论是常规的课堂教学，还是一些优质课、观摩研讨课等，都存在着一些值得我们必须重视的问题，经过近几年的课堂教学实践与探讨，我们把它们总结为如下五个问题．     

巧用教材资源培养学生的创新能力

新课程改革的一个重要目标就是培养学生的创新精神和创新能力,以适应社会的需要.义务教育《数学课程标准》在数学课程内容的设计中明确指出:“为了适应时代发展对人才培养的需求,数学课程还要特别注重发展学生的应用意识和创新意识”,“创新意识的培养是现代数学教育的基本任务,应体现在数学教与学的过程之中”,“创新意识的培养应该从义务教育阶段做起,贯穿数学教育的始终”.而数学创新是指学生能自主地独立地去探索问题,从多种角度解决问题.     

浅析初中数学的开放式教学

当前,数学教学中需要解决的一个重要课题是减轻学生负担、实施素质教育、考试的改革和创新.作为素质教育下的一种探索,开放式数学是现在数学教育的一个主要趋势.随着新课程     

对一道浙江高考数学题的引伸

<正>高中数学新课程注重提高学生的数学思维能力,探究高考试题可以作为一个很好的切入口,以此可以促进数学教育的开放化和个性化,从发现问题和解决问题中培养同学们的创新精神和实践能力.本人对2005年浙江高考数学卷(理科)第17题产生了一些联想和引伸,以飨读者.     

学生编题 有效创新

<正>新课程标准指出:"创新意识的培养是现代数学教育的基本任务,应体现在数学教与学的过程之中.学生自己发现和提出问题是创新的基础;独立思考、学会思考是创新的核心.创新意识的培养应该从义务教育阶段做起,贯穿数学教育的始终.""请你来编一道题"恰恰可以体现学生的创新能力,可以提高他们的学习兴趣,加深他们对知识的理解,在培养他们思维的独立性和创造性,提升他们自主学习的能力方面起到很大的推进作用.     

对数学实验教学的认识与研究

数学实验具有直观、形象、生动的特点.在实验的过程中能够进行体验和感受,通过亲历的过程,易于激活思维,因此可以成为学生建构未知数学知识的起点,加速数学知识的迁移和促进数学知识的同化,也可能使学生在积极思维的过程中迸发出创新的火花.数学实验是一种基本的数学方法,它能够应用于发现数学规律、检验数学命题、解决数学问题以及应用数学成果等.数学新课程更加强调数学实验的重要性.倡导自主学习、动手实践,让学生体验数学发现和创造的历程.然而数学实验教学至今没有一个统一的定义,因此在理论和实践上研究和探索的空间非常广泛.下面所述…     

走进几何的定值问题

几何中的定值问题,是指在几何图形中一些量或者图形关系变化时某些量始终保持不变的一类问题,一般多见于数学竞赛,新课程倡导培养学生的实践能力与创新精神,符合新课程理念的定值问题也随之悄然走进中考.     

科研实验能力导向的数学实验实践与探索

针对目前数学实验课程与学生科研问题之间存在"最后一公里"问题,本文通过在研究生数学实验课程实验环节进行科研实验教学探索和实践,将数学实验课程的实践内容直接与学生的研究课题对接起来,着力培养学生的创新意识并提高其科研实验能力.     

“老师,我的解法比你的更好!”——记数学试卷讲评课上的一次风波

1背景描述新课程改革在广东已开展多年.2007年9月至今,我在自己任教的两个理科班开展了在高中数学教学中开展数学交流活动的实验研究.在这实验研究中,结合数学新课程改革理念,我不断加强理论学习、反思实验过程,收获颇多:学生的数学学习兴趣大     

Was it good for them? Reflections on the use of MENTOR and changes in course design using general performance measures

This paper considers the use of general performance measures in evaluating specific planning and design decisions in higher education and reflects on the students' learning process. Specifically, it concerns the use of the MENTOR multimedia computer aided learning package for helping students learn about OR as part of a general business degree. It includes the transfer of responsibility for a learning module to a new staff member and a change from a single tutor to a system involving multiple tutors. Student satisfaction measures, learning outcome measures and MENTOR usage patterns are examined in monitoring the effects of the changes in course delivery. The results raise some questions about the effectiveness of general performance measures in supporting specific decisions relating to course design and planning.     

An Experiment in Problem Formulation

In a recent paper (in Operational Research '81, North-Holland, 1981), the author put forward a methodology for problem-formulation. In order to test it, a group of teachers concerned with the introduction of a new, integrated operational research and systems analysis M.Sc. course agreed to accept the author as a consultant. The aim was to clarify and define their problem of developing and maintaining their new course. This paper describes the nature and course of the experiment. It comments on the difficulties that were encountered, and on the perceived benefits to the client-group and to the researcher.     

将数学实验的思想和方法融入大学数学教学

大学数学教学中应注重理论联系实际,注重数学思想和方法的讲授,强调应用案例中融入数学实验思想的新教学方法.改革课堂教学方法,探索新的教学模式,加强学生的实践性教学环节,培养学生的应用和创新能力.最后,本文给出了几个例子显示了数学实验与大学数学教学结合的效果.     

Teaching methods comparison in a large calculus class

We report findings from a classroom experiment in which each of two sections of the same Calculus 1 course at a North American research-focused university were subject to an “intervention” week, each for a different topic, during which a less-experienced instructor encouraged a much higher level of student engagement, promoted active learning (answering “clicker” questions, small-group discussions, worksheets) during a significant portion of class time and built on assigned pre-class tasks. The lesson content and analysis of the assessments were informed by existing research on student learning of mathematics and student interviews, though the interventions and assessments were also intended to be compatible with typical course practices in an attempt to appeal to practitioners less familiar with the literature. Our study provides an example of active learning pedagogy (including materials and assessment used) for students at this level of mathematics in a classroom of over one hundred students, and we report improved student performance—on conceptual items in particular—with a switching replication in that each section outperformed the other on the topic for which it received the intervention.     

Amalgamation,interpolation and epimorphisms in algebraic logic

In his landmark paper on amalgamation published in Algebra Universalis in 1971, Don Pigozzi posed some open questions in connection with amalgamation of subclasses of cylindric algebras. Some of these questions were originally raised by Comer, Daigneault, Johnson, McKenzie and others. In this paper we give answers to all these as well as a number of other related questions. Most of the solutions were found by the authors of this paper. However, a few were contributed by others who will of course be given due credit at the appropriate points. This paper is dedicated to Don Pigozzi on his retirement. Presented by R. W. Quackenbush. The first author’s research was supported by the Hungarian National Foundation for Scientific Research grants no T30314 and T23234. The second author’s research was supported by the Hungarian National Foundation for Scientific Reserach OKTA grant no T30314. All the new results in this article were announced by Judit Madarász in the Workshop on Abstract Algebraic Logic, held in Centre de Recerca Matematica Bellaterra, Spain July 1–5, 1997. Received December 15, 2002; accepted in final form January 3, 2006.     

在独立学院开设《数学实验》课的构想

《数学实验》是在大学数学教学中将理论教学与实验教学融为一体的一门实验科学课程.阐述了在独立学院开设数学实验课的必要性和深远意义,以及在独立学院建设数学实验课的构想.     

Creating discussions with classroom voting in linear algebra

We present a study of classroom voting in linear algebra, in which the instructors posed multiple-choice questions to the class and then allowed a few minutes for consideration and small-group discussion. After each student in the class voted on the correct answer using a classroom response system, a set of clickers, the instructor then guided a class-wide discussion of the results. We recorded the percentage of students voting for each option on each question used in 18 sections of linear algebra, taught by 10 instructors, at 8 institutions, over the course of 5 years, together recording the results of 781 votes on a collection of 311 questions. To find the questions most likely to provoke significant discussions, we identify the six questions for which votes were most broadly distributed. Here we present these questions, we discuss how we used them to advance student learning, and we discuss the common features of these questions, to identify why they were so good at stimulating discussions.     

层次分析法在半导体物理实验课成绩评分中的应用

描述了影响半导体物理实验课评分的五个指标 ,介绍了层次分析法的原理 ,并将它应用到半导体物理实验课的评分中 ,建立了完善的、科学的评分方法 .最后列举了对九七级学生的评分实践 ,实践表明这种方法效果良好 .     

军队院校开设数学实验课的实践与体会

介绍了我们开设数学实验课的实践,阐述了数学实验课的教学目的、教学内容和教学计划安排,分析了实际教学效果.