小学数学分数应用题教学经验谈

分数应用题是六年制小学数学第十一册重要的教学内容,它不仅是教学重点,也是学生学习的难点。笔者结合多年的教学实践,就分数应用题的教学谈了几点经验。一、正确理解分数应用题中的单位＂1＂,提高解题能力在分数应用题的教学中,有的教师只注意抓住关键词、关键句来辨别单位＂1＂的数量,然后根据单位＂1＂是否已知来确定算法,     

数学教学中创新能力的培养

培养学生的创新意识，是素质教育的重点，也是小学数学学科自身改革的要求。教师在教学过程中，要有意识地把培养学生的创新能力作为一个重点来抓。下面我就谈一点本人在教学中的一些做法。     

论启发式教学方法在课堂中的运用

启发式教学是进行素质教育的重要途径,对培养学生的自主学习意识及创新能力具有重要的作用.文章在对启发式教学的基本概念进行阐述的基础上,重点论述了如何运用启发式的教学方法.     

在数学教学中培养学生创新能力初探

培养创新意识和实践能力是素质教育的精髓和重点。所谓创新意识,是一种探究新领域或新问题的心理取向,也是人们学习活动中最为宝贵的积极进取的一种思维品质。我从数学学科的特点和学生的学情出发,在培养学生创新能力方面作了一些初步探索。     

初中数学研究性学习探索

研究性学习是一种实践活动,一种学习方式。研究性学习重过程、重发现、重参与,使学生在自己的不断探索中去发现问题、分析问题和解决问题,形成一种自主的创新能力。在数学教学中如何贯彻研究性学习，这是每个数学教师需要思索的问题。下面就数学研究性学习的尝试作一些阐述。[第一段]     

基于协作与创新的统计学实践教学

协作与创新能力是21世纪对人才最基本的要求,高校的课堂教学必须结合各学科特征,注重培养学生的协作能力和创新能力。在统计学实践教学中不妨采用课内学习知识技能、课外学生自主实际调研和课内再进行数据统计处理分析的双管齐下策略。通过这种书本理论知识和学生自主调研结合的教与学形式,既极大提高了学生学习的积极性,也非常有利于同学们的协作和创新能力的培养。     

归纳总结法在机械基础课中的运用

随着教育改革步伐的推进，素质教育日渐被重视起来，如何在日常的教学中把素质教育体现出来，就显得十分重要了。素质不是某些具体的知识或技能，而是所有外部事物、知识文化等在人的身体头脑中内化之后所亮敞出来的那些东西，它是超越了旧的明晰与熟悉，面对新的混沌与陌生时的那种分选、爬剔、梳理、消化、以及新创的自由与自觉。     

高中数学教学中如何培养学生的创新思维能力

随着教学教材改革的深入开展，提高学生能力的问题越来越引起人们的重视：在数学教育领域内，一般能力包括学习新的数学知识的能力、探究数学问题的能力、应用数学知识解决实际问题的能力：而数学创新能力是数学的一般能力，但从一定意义上讲，创造性的思维能力又是最重要的数学能力。创新能力是指借助于概念、判断、推理并应用猜想、想象、直觉等获得发现和进行创造的能力。     

在语文教学中如何培养学生的创新能力

创新，是社会主义新人的个性和能力特质，培养新型人才是时代的迫切需要。以创新精神和实践能力为重点，培养创新人才是实施素质教育的必然要求和有效途径。新《课标》在教学目的中明确提出：要在语文教学过程中“培养学生的创新能力”。创新能力是学生智力的核心部分。因此，几年的探索与实践，在语文教学中对学生创新能力的培养上我做了如下几点尝试。[第一段]     

物理教学中学生创新能力的培养

物理学是一门以实验为基础的自然科学。怎样在物理教学中创新实践，突出以学生发展为本，培养学生的创新精神和创新能力，使学生发展性学习和创造性学习能力不断得到培养，这是摆在我们面前的一个急迫任务。在进一步深化素质教育的今天，教师应该结合创新教育的精神，在物理教学中加强对学生创新能力的培养。     

The solution of the Bagley-Torvik equation with the generalized Taylor collocation method

In this paper, the Bagley-Torvik equation, which has an important role in fractional calculus, is solved by generalizing the Taylor collocation method. The proposed method has a new algorithm for solving fractional differential equations. This new method has many advantages over variety of numerical approximations for solving fractional differential equations. To assess the effectiveness and preciseness of the method, results are compared with other numerical approaches. Since the Bagley-Torvik equation represents a general form of the fractional problems, its solution can give many ideas about the solution of similar problems in fractional differential equations.     

Polynomial based differential quadrature method for numerical solution of nonlinear Burgers' equation

Nonlinear Burgers' equation is solved using polynomial based differential quadrature method (PDQ). Numerical simulations are studied for three well known test problems, namely shock-like solution, travelling wave and sinusoidal disturbance solutions of Burgers' equation. Obtained numerical results of the first and the third test problems are compared with some earlier numerical results. Discrete root mean square error norm and maximum error norm are computed for the first two test problems and a comparison with some earlier works is given.     

微分方程数值解的优化格式

利用最优化思想，根据一阶常微分方程数值解的收敛性和稳定性，引进最优化技术，确定最优系数，得到强稳定的线性三步和四步公式以及三阶Runge-Kutta最优算法，经地实际计算，部分公式的结果优于目前已有的公式。     

New solution bounds for the continuous algebraic Riccati equation

In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation and utilizing the eigenvalue and singular value inequalities of matrix's sum and product, we propose new lower and upper matrix bounds for the solution of the continuous algebraic Riccati equation. Finally, we give corresponding numerical examples to illustrate the effectiveness of our results.     

An approximate analytic solution of the nonlinear Riccati differential equation

In this paper, a hybrid method which combines the Adomian decomposition method (ADM), the Laplace transform algorithm and the Padé approximant is introduced to solve the approximate analytic solutions of the nonlinear Riccati differential equations. This hybrid method demonstrates accurate and reliable results, and has a great improvement in the ADM truncated series solution which diverges rapidly as the applicable domain increases. Three examples herein are given to demonstrate good accuracy and fast convergence in comparison with the exact solution.     

论微分方程的定解及其问题形成

从微积分方程的历史发展角度来看,定解对微分方程理论的发展与形成具有极强重要的意义,也是众多数学家长久以来研究的主要方向。文章探讨了微分方程的定解,并阐述了当前关于微分方程研究的主要问题。     

Approximations to the solution of linear Fredholm integrodifferential-difference equation of high order

There are few techniques available to numerically solve linear Fredholm integrodifferential-difference equation of high-order. In this paper we show that the Taylor matrix method is a very effective tool in numerically solving such problems. This method transforms the equation and the given conditions into the matrix equations. By merging these results, a new matrix equation which corresponds to a system of linear algebraic equation is obtained. The solution of this system yields the Taylor coefficients of the solution function. Some numerical results are also given to illustrate the efficiency of the method. Moreover, this method is valid for the differential, difference, differential-difference and Fredholm integral equations. In some numerical examples, MAPLE modules are designed for the purpose of testing and using the method.     

New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation

In this paper, new upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) are derived by means of some matrix inequalities and linear algebraic techniques. Furthermore, for the derived each bound, iterative algorithms are developed to obtain sharper solution estimates. Comparing with some appearing results in the literature, the presented bounds are less restrictive and more efficient. Finally, numerical examples are given to illustrate the effectiveness of the proposed results.     

Matrix solution bounds of the continuous Lyapunov equation by using a bilinear transformation

By using a bilinear transformation and some linear algebraic techniques, new matrix bounds of the solution of the continuous algebraic Lyapunov equation (CALE) are derived in this paper. Comparing to existing works, these obtained matrix bounds are less restrictive and are easy to be calculated. A numerical example is also given to demonstrate the merits of the present results.     

互联网应用缓存加速解决方案

文章介绍基于应用缓存和传输优化为核心的解决方案,可以更好的解决运营商在行业用户网络建设和发展过程中所面临的困境,提升运营商网络服务质量和降低运营成本,提升关键业务的服务质量,同时加强网络的网络流量的监控和管理。