共查询到19条相似文献，搜索用时 140 毫秒
1.
陆宗斌 《佳木斯教育学院学报》2012,(12):204-204
微积分作为高职工科类与经管类专业学生必修科目,其教学一直是一个难点,是学生学习路上的"拦路虎",也是高职毕业生今后发展的瓶颈。为了给更多的学生提供有价值的借鉴经验,本文切实分析了一元微积分教学中微三角形的引入与应用。在一元微积分教学中应用为三角形可以使微积分的教学内容更加条理化、直观化、简洁化,简化微积分概念等相关知识点的教学难度,提高学生严谨治学的学习能力。 相似文献
2.
微积分思想是微积分知识的精髓,是知识转化为能力的桥梁。只有充分认识和领悟微积分思想、方法的来源,学生才能真正地理解、领会与应用微积分知识来分析、解决实际问题。在《高等数学》课程教学过程中,实施融入数学史素材,挖掘微积分思想源头,充实教学内容、更新教学设计、丰富课堂教学方式和课后练习,以求达到降低数学内容抽象性和学生学习数学的恐惧感,提升学生学习数学的兴趣与应用数学的意识和发现、分析、解决问题的能力。 相似文献
3.
在大学物理的学习中,用微积分的方法分析解决物理学有关问题,已经成为学习大学物理的基本方法.微积分是用一种运动的思想考虑问题、分析问题的数学方法,在大学物理中有着广泛而重要的应用.本文通过分析微积分在普通物理学中的应用,使学生尽快理解微积分思想,熟练运用微积分的方法分析物理问题. 相似文献
4.
林剑花 《赤峰学院学报(自然科学版)》2019,(4)
微积分是学习大学物理的重要工具,本文主要探讨了微积分的思想以及微积分在大学物理中的应用.大学物理教师应将微积分思想融入大学物理教学中,培养学生掌握微积分科学思维方法,从而提高解决物理问题的能力. 相似文献
5.
唐锋 《常熟理工学院学报》2011,25(6):93-96
探究性教学注重学生的自主学习、合作学习、开放学习,注重师生间的交互作用。探究性教学可以提高学生的学习兴趣,提高学生对知识的认知度。本文介绍在讲授微积分中值定理的习题课中如何使用探究性教学,使学生加深对该知识的理解并体会线性代数在微积分中的应用。 相似文献
6.
微积分作为数学学科重要的组成部分,也是数学学科中比较难理解的部分,容易造成教学质量下降。翻转课堂对提高学生学习兴趣,提高学生自主学习能力,以及提高教学质量均有积极的促进作用。本文就翻转课堂在微积分课程教学中的应用进行了深入分析和创新改革,以期为提高微积分课程教学质量提供一定的借鉴。 相似文献
7.
通过微积分知识在物理学和科研等领域的应用研究,搭建中学微积分教学与创新科学研究的桥梁,以此拓展学生单纯学习数学知识的空间,从而极大地激发学生的学习兴趣和动力,切实提高其解决实际问题的能力及培养从事科学研究的意识和精神。 相似文献
8.
现在全国每年有几百万大学生和高中生学习微积分．教微积分的老师们常常思考如何上好头两节课，把学生直接引导到微积分的核心，提高学生自觉学习微积分的能力．而传统的微积分教学从极限开始，经过了7-8节课时，学生还不能了解微积分的中心思想是什么． 相似文献
9.
微积分是文科院校经管类专业学生的一门公共必修课,在文科院校学生学习中占有很重要的地位。文章针对文科院校微积分教学的现状分析,结合教学实践,谈谈文科院校如何尽可能营造微积分教学的良好氛围,让微积分这门课程更好地为学生的学习和生活服务。 相似文献
10.
微积分是成人高等数学学习的主要部分,通过调查发现成人学习微积分存在理解上的困难,没有形成微积分知识体系,不能根据实际应用微积分解决问题。 相似文献
11.
Jörg Härterich Christine Kiss Martin Mönnigmann Moritz Schulze Darup Roland Span 《European Journal of Engineering Education》2012,37(3):255-266
First-year engineering students often complain about their mathematics courses as the significance of the difficult and abstract calculus to their field of study remains unclear. We report on the project MathePraxis, a feasibility study which was designed as a means to give first-year students some impression about the use of mathematics in real practice. We aim to increase the motivation and retention rates among engineering students by connecting the contents of the first-year mathematics lectures with practical applications. We developed three projects, two of which are described in this article: an inverted pendulum considered as a model for the automated control within a Segway and a study on the optimal design of a ribbed cooler. In this article, we briefly present the mathematical content of the projects and report on their implementation. 相似文献
12.
数学文化是大学生文化素养的重要组成部分,如何在大学数学教学中融入数学文化尤为重要。微积分作为变量数学中的重要内容,讨论其中蕴含哪些数学文化以及怎样在其教学中渗透数学文化,不仅能帮助学生很好的领悟微积分的基本概念和思想方法,而且有助于培养学生科学、理性的思维方式和交流表达能力,提高整体文化素养。 相似文献
13.
This study investigates how the use of calculators during high school mathematics courses is associated with student performance in introductory college calculus courses in the USA. Data were drawn from a nationally representative sample of 7087 students enrolled in college calculus at 134 colleges and universities. They included information about students’ demographics, standardized test scores, and high school mathematics course enrollment and performance. Factor analysis reduced ten items describing high school calculator usage to two composites: how extensively calculators were employed and teacher-imposed restrictions on their use. Hierarchical linear models predicted students’ college calculus grades, reported by their professor, while controlling for differences between colleges and student backgrounds. The more extensively students had used calculators in high school, the lower their grade in college calculus. However, students earned higher college calculus grades to the extent that their high school teachers had limited calculator use on quizzes and exams and had restricted calculator use until paper-and-pencil methods had been mastered, which offset the negative association of extensive calculator use with grades. The effect sizes of both calculator composites were very small. Overall, the findings raise doubts about any substantial long-term effects on college mathematics performance of calculator use in high school. 相似文献
14.
Jennifer D. Cribbs Zahra Hazari Gerhard Sonnert Philip M. Sadler 《Child development》2015,86(4):1048-1062
This article empirically tests a previously developed theoretical framework for mathematics identity based on students’ beliefs. The study employs data from more than 9,000 college calculus students across the United States to build a robust structural equation model. While it is generally thought that students’ beliefs about their own competence in mathematics directly impact their identity as a “math person,” findings indicate that students’ self‐perceptions related to competence and performance have an indirect effect on their mathematics identity, primarily by association with students’ interest and external recognition in mathematics. Thus, the model indicates that students’ competence and performance beliefs are not sufficient for their mathematics identity development, and it highlights the roles of interest and recognition. 相似文献
15.
Daniel A. Showalter 《Journal of Experimental Education》2017,85(4):674-688
This article reports on a study designed to estimate the effect of high school coursetaking in the algebra-calculus pipeline on the likelihood of placing out of postsecondary remedial mathematics. A nonparametric variant of propensity score analysis was used on a nationally representative data set to remove selection bias and test for an effect among all comparable students and among students least likely to enroll in precalculus, trigonometry, or calculus. The effect failed to reach practical significance among all comparable students and was particularly weak among students least likely to take precalculus, trigonometry, or calculus. These findings suggest that the regression-based results that factor strongly into discussions on high school graduation requirements for mathematics coursetaking contain substantial selection bias. 相似文献
16.
17.
Raina Robeva Robin Davies Terrell Hodge Alexander Enyedi 《CBE life sciences education》2010,9(3):227-240
We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. 相似文献
18.
This article discusses the role of context problems, as they are used in the Dutch approach that is known as realistic mathematics
education (RME). In RME, context problems are intended for supporting a reinvention process that enables students to come
to grips with formal mathematics. This approach is primarily described from an instructional-design perspective. The instructional
designer tries to construe a route by which the conventional mathematics can be reinvented. Such a reinvention route will
be paved with context problems that offer the students opportunities for progressive mathematizing. Context problems are defined
as problems of which the problem situation is experientially real to the student. An RME design for a calculus course is taken
as an example, to illustrate that the theory based on the design heuristic using context problems and modeling, which was
developed for primary school mathematics, also fits an advanced topic such as calculus. Special attention is given to the
RME heuristic that refer to the role models can play in a shift from a model of situated activity to a model for mathematical
reasoning. In light of this model-of/model-for shift, it is argued that discrete functions and their graphs play a key role
as an intermediary between the context problems that have to be solved and the formal calculus that is developed.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
19.
This paper examines Latina/o student success in mathematics as a result of collective teacher beliefs and practices in a high school mathematics department. Based on an interdisciplinary theoretical framework and ethnographic data, the paper finds teacher collectivity allows teachers to develop meaningful relationships with their students. These relationships underlie the ability of teachers to advance large numbers of students to calculus by their senior year. Implications for researchers, policymakers, and teacher educators are discussed. 相似文献