问题驱动教学法的研究与实践

Abs从教育的功能人手,通过对创新能力的分析,得出结论“一切思维和能力的培养皆依赖于问题的发现、分析与解决”,由此提出“问题驱动教学法”,同时给出该教学法的流程模式,并以“概率论与数理统计”课程的教学为例对该教学法进行具体说明.trcat     

四联交互式教学应用于大学数学类课程的探索与实践

本文通过分析大学数学类课程传统教学的现状和实际需求,提出并讨论了四联(观察、探索、整合、实践)交互式教学的主要内容、主要特征、内部关系和主要特点,并举例说明了该教学法在线性代数课程教学中的具体实施,最后分析了四联交互式教学的实施效果及存在问题.     

“以大带小”式教学法在初中数学教学中的应用探究——以“多边形及其内角和”教学为例

何谓"以大带小"式教学法,即在教学中教师通过设计几个探究性大问题来引导学生进行探究,在探究过程中以小问题来进行辅助的教学法."以大带小"式教学法是基于教案教学而进行的,对突出教师的主导性和学生的主体性都具有积极作用.在"以大带小"式教学法中一般可按照导入迁移、设疑探究、合作总结、练习拓展几个步骤进行.     

浅谈项目教学法在珠算教学中的应用与体会

本文总结了项目教学法基本程序和实施模式中“项目的选择与优化”、“实施项目”、“项目总结”三个阶段,分析了项目教学法和常规课程实践教学环节之间的显著区别,并以“多位数乘法”教学为背景,详细介绍了“多位数乘法”在珠算项目教学中的具体实施过程,为推广应用项目教学法提供了借鉴。     

“问题解决”教学法的探索与实践

本文运用教育学心理学原理,探讨了"问题解决"应用于课堂教学的理论意义;针对教学过程中普遍存在的问题,从课堂教学的几个重要环节入手,分析了运用"问题解决"教学法对培养学生的科学精神、创新能力以及提高分析问题与解决问题能力的积极作用和良好效果.     

概率统计课程教学方法的几点体会

通过教学实践与理论思考,并结合目前大学生的特点,对概率论与数理统计课程的教学方法阐述四点看法.主张在教学中引人历史典故,引进多媒体辅助教学,将教学与数学建模活动相结合,运用案例教学法以培养学生分析问题和解决问题的能力.     

案例教学在高等数学教学中的应用研究

本文结合我校学生特点以及作者多年一线教学经验,分析了高等数学教学中存在的问题以及将案例教学法应用于高等数学教学的优点.阐述了案例教学的准备过程包括编写教学案例库、构思互动场景、培养优秀的案例执行者等方面.通过研究高等数学案例教学的实施步骤:案例预习、案例展示、案例讨论、课堂总结等重要问题,提高了我校高等数学课程的教学质量.     

关于双语教学的思考

当前双语教学成为我国高等教育的一个新的热点，由于开展双语教学的时间短、起点低，在双语教学的实践中普遍存在教学模式不规范、教学法研究不深入、教学效果不理想等问题。本结合近年来的双语教学的实践，针对这些问题从师资力量、学生英语运用能力、教材几个方面进行探讨，分析有关双语教学存在的问题并提出相应的应对策略。     

论问题式教学中的“问题”

通过对问题式教学法中“问题”的讨论 ,对问题式教学的实践作了一些研究     

实变函数教学中的铺垫教学法

讨论在实变函数课程教学中进行铺垫教学的重要性.结合教学案例,从教学引入、概念教学、定理结论教学、提出问题、拓展延伸等方面探讨了铺垫教学法在实变函数教学中的应用.     

线性代数课堂中的“教”与“学”

结合教学实践经验,从人才培养的角度阐述线性代数课堂教学中的思维培养问题.指出课堂教学中要善于创设和营造和谐民主、积极向上、与学生心理相融的良好的课堂氛围;设置有利于学生参与认知的教学环节,通过采用灵活的教学方式,激发学生思考;尊重学生主体地位,让他们在教学活动中获得最大的情感体验;充分利用直观形象思维,教学中贯穿直观的几何形象,激发学生学习的兴趣,激发他们的求知欲.     

Beyond mathematical content knowledge: A mathematician's knowledge needed for teaching an inquiry-oriented differential equations course

In this research report we examine knowledge other than content knowledge needed by a mathematician in his first use of an inquiry-oriented curriculum for teaching an undergraduate course in differential equations. Collaboratively, the mathematician and two mathematics education researchers identified the challenges faced by the mathematician as he began to adopt reform-minded teaching practices. Our analysis reveals that responding to those challenges entailed formulating and addressing particular instructional goals, previously unfamiliar to the instructor. From a cognitive analytical perspective, we argue that the instructor's knowledge — or lack of knowledge — influenced his ability to set and accomplish his instructional goals as he planned for, reflected on, and enacted instruction. By studying the teaching practices of a professional mathematician, we identify forms of knowledge apart from mathematical content knowledge that are essential to reform-oriented teaching, and we highlight how knowledge acquired through more traditional instructional practices may fail to support research-based forms of student-centered teaching.     

A different perspective of the teaching philosophy of RL Moore

Dr RL Moore was undoubtedly one of the finest mathematics teachers ever. He developed a unique teaching method designed to teach his students to think like mathematicians. His method was not designed to convey any particular mathematical knowledge. Instead, it was designed to teach his students to think. Today, his method has been modified to focus on using student participation toward the goal of the conveyance of mathematical knowledge rather than on Dr Moore's goal of teaching students to think. This article proposes that undergraduates would be better served if they took at least one course using Dr Moore's original method and his original goal.     

刍议大学数学教学活动的问题与对策

当前各高校的大学数学教学或多或少存在一些不协调的地方,如理科类学生课程深度过大,文科类学生数学能力弱,考核试卷的难度控制不好等等.针对大学数学的教学法及大众化教育的分析研究,结合教学实践,提出大学数学教学改革的一些对策.     

《微分方程数值解》课程教学改革与实践

针对一般本科院校的教学实际,研讨《微分方程数值解》课程教学改革的一些体会,主要包括教学定位的确定、课程教学内容的优化、教学方法的改革以及教学手段的更新等问题.     

解决高等数学教学问题的七点措施——以衡阳师范学院为例

本文简要分析了当前高校高等数学教学所面临的几个突出问题,在此基础上结合衡阳师范学院高等数学教学实际,从七个方面阐述了如何加强高等数学教学以提高教学质量.     

Matlab软件在高等数学教学中的应用

Matlab是当今最优秀的科技应用软件之一。基于Matlab在科学计算中的强大功能,本文探讨了Matlab软件在高等数学教学中的应用。针对高等数学中的极限、导数、积分、极值等问题,在教学中融入Matlab辅助计算,把所学理论转化为实践,不仅大大地提高了教学的实效性,并且为学生今后运用所学知识解决专业、实际等问题奠定了基础。     

高等院校概率论数理统计课程分级教学的实践与思考

系统介绍了我校概率论数理统计课程分级教学的改革实践与经验,深入分析了目前存在的主要问题,并初步探讨了构建合理的分级教学模式、全面提高教学质量的关键因素及解决途径.     

The tacitly nested number sequence in sixth grade: The case of Adam

Student learning in the middle grades is afforded and constrained by basic numerical operations characterized in the number sequences framework (Steffe, 2010a), originally developed with younger children. I investigated its use with four sixth-grade students through a constructivist teaching experiment. I found that one student, Adam, was able to strategically operate on composite units, which is a strong indication that the he had constructed an explicitly nested number sequence (ENS). However, he was not able to reversibly disembed subsequences or construct iterable units of 1, both principal operations of an ENS. I conclude that Adam was constrained to the construction of the less sophisticated tacitly nested number sequence (TNS), and that his advanced behavior is a natural outgrowth of his increased experience operating with a TNS. I suggest a refinement of the number sequences framework to support research and teaching at the middle grades.     

高等数学创造性思维教学的策略优化

论述了高等数学创造性思维教学的策略优化问题,提出了作者设计的高等数学创造性思维教学链,并结合高等数学的具体教学实践进行了多方位的探讨.