高等数学教学中学生作业方式改革的探讨

学生作业是高等数学教学的一个重要组成部分.通过对高等数学课程教学中传统作业方式的分析,提出题解作业、网络作业和前置作业三种新的作业方式,并探讨了每种作业方式在提高教学质量中的作用.     

关于数学文化融入文科高等数学教学的思考

主要论述了数学文化教育对文科学生的意义、数学文化融入《文科高等数学》教学中的重要性.并通过教学实践,讨论了数学文化融入《文科高等数学》的一些尝试;最后提出了数学文化融入《文科高等数学》的一些想法.     

医学院校MBBS留学生高等数学课程教学改革初探

MBBS高等数学课是国内医学院校开设的一门针对医学专业来华留学生的高等数学课程.作者根据从事MBBS留学生高等数学课程教学的实践,分析了MBBS留学生的特点、数学课程教学的特点等,然后从课堂教学、平时作业、课下答疑、自主学习、考前复习等方面探讨了教学改革的措施.本文有助于提高留学生高等数学课程教学的效果,对于新时代国际化背景下的高等数学教学具有借鉴和启发意义.     

丰富讲评信息 提高教学质量

本文结合自己的教学实践,探讨了怎样丰富和扩充作业讲评的信息,以提高高等数学课程的教学质量．     

原苏联高等数学教学改革的近况

<正> 近年来,哈尔滨工业大学数学系同乌克兰基辅工业大学应用数学系、高等数学教研室等单位建立了友好合作关系,多次派学者互访,进行学术与教学交流,了解到一些原苏联高等数学的教学改革情况,我们感到这些情况对于我们当前的高等数学的教学改革是有一定参考价值,所以我们想在本文中结合原苏联高等数学     

一些常见的错解剖析

从初等数学转入高等数学的学习,很多学生不能适应这个转变,常常忽视阅读教材,弄清弄懂高等数学的基本概念,定义,定理的条件,结论,而忙于解习题,完成作业,结果事倍功半,收获甚微.本文列举并分析学生作业中常见的错解,希望引起初学者的重视.     

简介原苏联高等数学教材

<正> 近10多年来为了适应高等数学的教学改革与新制订的教学大纲的要求,出版了一些新的高等数学教材,统观这些教材,有以下几个明显的特点: 1.突破了原有的知识体系(公共课部分:解析几何、微积分、专业数学、线性代数),在高等数学公共课部分,保留了传统的内容,同时增加了线性代数基础,概论论与数理统计初步,     

从三届全国大学生数学竞赛看线性代数在高等数学中的应用

通过三届全国大学生数学竞赛试题,介绍了线性代数在高等数学中的一些应用,初步揭示了线性代数与高等数学教学之间的联系.     

对高等数学作业和考试的认识与实践

在全面推进素质教育的形势下 ,高等数学教育的改革越来越引起人们的关注 ,改革所涉及的话题较多 ,本文仅对理工科高等数学教育涉及到评价的两个问题 :作业与考试 ,谈一谈我们的认识和实践 ,希望能引起专家和同仁的关注 ,共同研讨改革之路 .1　关于高等数学作业问题目前大部分教师在课堂上所布置的作业是课本中的习题或相关习题集中的习题 .这种习题形式单一 .基本上就是例题的翻版 ,而学生做作业则是个人操做式的机械的模仿 ,今天 ,数学教育正在面临一场范式革命 ,时代也对大学生提出了新的用人标准 ,在以人为本的新的数学教育观念下 ,我们…     

关于高等数学教学改革的几点认识

作为高等数学教改项目的参加者 ,本文介绍了作者对高等数学教学改革的五点认识 :1 .高等数学教材应有利于培养学生的数学素养和创造力 ;2 .高等数学教学改革的成败有赖于教师自身教育思想的转变 ;3 .高等数学的教材改革已初见成效 ;4.高等数学的教学改革必须遵循教育规律 ;5 .高等数学的教学改革应有学生的参与 .     

大学数学“1+X”教学模式的探讨与思考

通过对课堂教学,课后作业,考试方式等环节的讨论,对大学数学"1+X"教学模式进行了探讨,对提高大学数学的教学效果作了一些思考.     

How mathematicians assign homework problems in abstract algebra courses

While many aspects of the teaching and learning of advanced mathematics have been explored, the role, construction, and values of homework have been virtually ignored. This report draws on task-based interviews with six mathematicians to explore the relationship between an instructor’s learning goals and factors considered when selecting homework problems. All participants viewed homework as critical to student learning, and the majority of the participants’ claims focused on either the mathematics or how the problem would help students learn; no instructor gave primacy to evaluative reasons for homework. We highlight six themes used by participants to evaluate and select items for inclusion in homework. They are (1) knowing and recalling axioms and definitions, (2) developing an arsenal of examples, (3) developing new problem approaches, (4) remediating misconceptions, (5) making connections to prior and future material, and (6) valuing reading notes or text.     

高等数学课程改革的新探索

讨论大专高等数学的教学改革,主要介绍我们对此问题的理解和所做的改革试验.试验围绕如何使微机在大专高等数学教学中发挥作用、编写新的教材、提倡建构式教学法等三方面展开.教学实践表明,我们的改革试验是比较有成效的.     

Teaching Probability in Intermediate Grades∗;†

This paper discusses three alternative models for structuring homework assignments in college level mathematics. A distributive model which incorporates both early and late review of previously learned material into the daily assignment schedule is explicated in detail. The relative efficacy of the conventional method for assigning homework and the distributive method in promoting achievement and favourable attitudes toward mathematics in a first semester course in calculus was investigated in a controlled experiment. Significant (p < 0.03) interactions between mathematical ability and assignment model were found on three of four unit tests. In each case, pupils with the weaker pre‐calculus background profited more from the distributive assignment schedule. There were no significant interactions or differences on a comprehensive post‐test or on attitudes toward mathematics. Implications for research and practice in college level mathematics, physics, and engineering courses are suggested.     

Mathematics in the home: Homework practices and mother-child interactions doing mathematics

Parents are a largely untapped resource for improving the mathematics performance of American children, which lags behind the performance of children from other nations. The purpose of the research reported here was to assess homework practices in the home, and to examine interactions between mothers and their 5th grade children as they worked challenging mathematics problems (pre-algebra equivalence problems). Results indicated that children spent on average 23 min per day on mathematics homework, with an average of 8 min of help from parents. Videotapes of mother-child interactions indicated that mothers varied considerably in the quality of the mathematics content that they conveyed while teaching, and in the quality of their scaffolding of the material for the child. As expected, mothers who themselves had more mathematics preparation performed better in conveying mathematical content and in scaffolding. Mothers with more mathematics self-confidence also performed better. The results suggest that children face inequities in the parental resources available to them for math learning; these inequities might be remedied by school-family partnership programs.     

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.     

How students use the ‘see similar example’ feature in online mathematics homework

Homework is one of students’ opportunities to learn mathematics, but we know little about what students learn from homework. This study employs the instructional triangle and didactic contract to explore how students used the ‘see similar example’ feature in an online homework platform and how that use reflected their learning goals. Findings indicate students used similar examples to troubleshoot, to check if they were on the right track, and to see the form of the answer. Students also sought to unpack the reasoning in solution steps, used solutions as templates for solving their own problems, and sometimes copied answers. One student did a ‘see similar example’ problem for more practice. Students’ goals included completing the homework, maximizing their score, and understanding the content. This research lays groundwork for future work characterizing what students learn from homework and how features that provide students with similar examples help or hinder their learning.     

增加应用实例的比例有利于高等数学教学效果的进一步提高

阐述了在高等数学教学中增加应用实例的重要性.由于高等数学理论体系中,绝大多数的定义、定理或性质的获得几乎都与实际应用有关,因此本文针对一元函数微积分,探讨了在高等数学教学中根据不同知识点具体引入不同应用背景实例的方法.     

Learning to prove: from examples to general statements

In this paper we describe a method for teaching students to prove some mathematical statements independently, by using specially designed auxiliary assignments. The assignments are designed as homework problems and can be adapted for online learning. We illustrate our method using examples from calculus and differential equations.