试论课堂提问的“窍门”

在高考改革的背景下,如何提高课堂效率是摆在每位高中数学教师面前的重要问题.设计有效的课堂提问是提高课堂效率的重要途径.笔者从课堂提问的作用、提问的原则、提问的技巧三方面阐述课堂提问的“窍门”。课堂提问对教师的专业水平提出了更高的要求,要设计一组有效的课堂提问,教师必须对教材了然于胸,明确每个知识点的发生过程,充分了解学生的知识掌握程度,并能根据学生回答随时应变修正,从而完成教学任务,努力培养学生的思维能力和良好的思维习惯.     

离散数学的翻转课堂教学法研究

离散数学是计算机专业的重要的基础课程.但是离散数学课程抽象难懂、教学模式单一、理论实际结合能力差,从而影响了这一课程的教学效果.为了提升离散数学的教学效果,面向学生翻转课堂的教学模式被引入.翻转课堂通过视频、示例或者项目、以及拓展等方式充分发挥学生为中心,教师辅助的教学理念,提升学生学习的主动性,提升离散数学的教学效果,为后续计算机专业课程奠定良好的基础.     

基于学生主体性行为的数学教学比较研究及启示——以两节同课异构课为例

学生是课堂学习的主体,通过对“导数在函数中的应用—单调性”的两节同课异构课堂教学视频进行编码,比较分析两种不同课堂教学模式下的学生回答问题、讲述板演、小组合作、课堂练习等学生主体性行为的特点.研究发现:T1教师的M1课堂中学生的课堂参与程度较高,更契合新课标所倡导的以学生为本的教育理念;T2教师的M2课堂中学生的主体性并未充分体现,反映出传统教学模式下的学生被动思考现状.     

初中数学艺术化结课“四式”

优质的课堂结课方式,不仅能够提升课堂教学实效,也有助于促进学生学科综合素养的培养和锻炼.在初中数学教学中,对课堂小结进行优化设计是十分重要的.在进行课堂小结的过程中,可以立足于不同的方面及层次,有效的课堂小结可以带领学生回顾本节课所学,能够完善对现有知识的总结,同时能够促进学生思维能力方面的培养及有效锻炼.在课堂小结的过程中,教师不仅要带领学生梳理本节课所学习的相关知识,也能够适度以此为根本进行延伸和拓展,帮助学生完善现有的知识体系.那么,在初中数学教学中,应该如何进行艺术化结课呢?     

巧设出高效,思辨促深度--从两个习题课教学片断说起

新课标特别强调高中数学教学要以发展学生核心素养为导向,要创设合理的教学情境,启发学生思考,引导学生把握数学内容的本质.问题情境是课堂教学组织和数学学习的核心,课堂提问是实现师生之间多向交流的重要手段,也是突出重点、攻破难点、解决疑点、克服弱点的关键.所以教师要巧设问题情境,助推课堂革命,引发学生思辨,促进深度学习,发展核心素养,打造高效课堂.     

探索初中高效课堂的教学策略

初中高效课堂的构建要立足于学生的全面发展,促进学生思维能力的提升,落实核心素养的目标.本文中从构建有爱课堂、美好课堂、信任课堂和个性课堂四个方面阐述了高效课堂的教学策略,使课堂教学富有活力和灵性,从而彰显课堂教学的生命力,提高课堂教学效率.     

论本科课堂学习效果的影响因素——基于相关性和累积Logistic回归分析

大学生课堂学习状态直接影响其学习效果,衡量学习效果的经典指标是学生的成绩表现,深入分析课堂学习状态对成绩的影响程度有助于教学工作的改进和提高,因此以"本科课堂学习状态问卷调查"所获数据为依托分析影响学习成绩的各个具体因素及其影响程度.结果表明勤奋刻苦程度是影响学生成绩的最重要因素.     

把握教学生成,演绎课堂精彩——对一堂数学课的思考

课堂教学是一个动态生成的过程,教师应该灵活地根据情况的变化不断调整自己的教学,在学生的真实认知点上综合把握,应学生而动,应情境而变,敏锐捕捉不期而至的生成.晒出学生课堂亮点.演绎不曾预约的精彩.本文通过一个案例来强调教师在数学课堂教学中要激活学生思维,注重课堂生成,晒出学生亮点,提高课堂效率,促进学生发展,演绎课堂精彩.     

课堂对话,让数学课堂精彩纷呈

雅思贝尔斯认为,对话是真理的敞亮和思想本身的实现.由此可见,我们的教学应该以对话的形式展开,在师生民主、平等和互相尊重的基础上,进行探讨和倾听,以达到师生共同发展的目的.然而,在传统数学教学中,教师更为关注知识的传授,在这样知识本位和教师主体的教学模式下,课堂对话形同虚设.随着新课程改革的深化,“课堂对话”已经成为数学课程改革共同关注和研究的内容.学生交流能力和思维能力的培养离不开课堂对话的实施,如何有效展开课堂对话,才能促进学生的交流和思考,造就精彩课堂呢?     

被边缘化对员工沉默行为的影响:组织认同和心理安全感的中介作用

为探讨被边缘化对员工沉默行为的影响以及组织认同和心理安全感在以上影响过程中所起的中介作用.采用问卷调查的方法,选取天津市13家企事业单位的330名员工为研究对象,使用结构方程模型分析被边缘化、组织认同、心理安全感与沉默行为的关系.研究结果表明:被边缘化对员工的默许性沉默、防御性沉默以及漠视性沉默均有显著的正向影响;心理安全感在被边缘化与漠视性沉默和防御性沉默之间起部分中介作用,而在被边缘化和默许性沉默关系中的中介作用不显著;组织认同在被边缘化与默许性沉默和漠视性沉默之间起部分中介作用,而在被边缘化和防御性沉默关系中的中介作用不显著.     

On the distributions of the ratios of the extreme roots to the trace of the Wishart matrix

In this paper, the authors cosider the derivation of the exact distributions of the ratios of the extreme roots to the trace of the Wishart matrix. Also, exact percentage points of these distributions are given and their applications are discussed.     

On the comparison between the APV and the NPV computed via the WACC

The valuation of levered investment in the practice is made with the WACC approach, even if the superior technique of the APV is available. The paper shows that the APV can be interpreted as the arbitrage free value of the portfolio made by an investment and a supporting loan. Therefore the WACC evaluation, generally different from the APV, allows for arbitrage. We provide various conditions which completely characterize the sign of the error as a functions of all the variables entering the model.     

用常微分方程模型分析预防和隔离措施对SARS发病率的影响

通过建立常微分方程模型 ,分析了预防和隔离措施对 SARS发病率的影响 ,并把计算结果与实际统计数据进行了比较 ,结果表明 ,及时高效的预防和隔离措施能够有效地控制 SARS的传播 .     

From the neutrino to the edge of the universe

Two recent findings necessitate a closer look at the existing standard models of particle physics and cosmology. These are the discovery of neutrino oscillation, and hence a non-zero mass on the one hand and, on the other, observations of distant supernovae which indicate that contrary to popular belief, the universe would continue to expand for ever, possibly accelerating in the process. In this paper it is pointed out that relatively recent studies which indicate a stochastic, quantum vacuum underpinning and a fractal structure for space time, reconcile both of the recent observations, harmoniously.     

On the Gap in the Spectrum of the Translations

The spectrum of the translations in local quantum field theory will be analyzed in order to show that in a positive energy representation without vacuum vector and with lowest mass m₁ there is no gap in the spectrum which is larger than 2m₁. In particular in a zero mass representation there is no hole at all. These results are obtained with methods of analytic functions of several complex variables.     

From the subalgebras of the square to the discriminator

Presented by A. F. Pixley.     

On the depth of the tangent cone and the growth of the Hilbert function

For a dimensional Cohen-Macaulay local ring we study the depth of the associated graded ring of with respect to an -primary ideal in terms of the Vallabrega-Valla conditions and the length of , where is a minimal reduction of and . As a corollary we generalize Sally's conjecture on the depth of the associated graded ring with respect to a maximal ideal to -primary ideals. We also study the growth of the Hilbert function.

     

On the rational approximation of the sum of the reciprocals of the Fermat numbers

Let $\mathcal{G}(z):=\sum_{n\geqslant0} z^{2^{n}}(1-z^{2^{n}})^{-1}$ denote the generating function of the ruler function, and $\mathcal {F}(z):=\sum_{n\geqslant} z^{2^{n}}(1+z^{2^{n}})^{-1}$ ; note that the special value $\mathcal{F}(1/2)$ is the sum of the reciprocals of the Fermat numbers $F_{n}:=2^{2^{n}}+1$ . The functions $\mathcal{F}(z)$ and $\mathcal{G}(z)$ as well as their special values have been studied by Mahler, Golomb, Schwarz, and Duverney; it is known that the numbers $\mathcal {F}(\alpha)$ and $\mathcal{G}(\alpha)$ are transcendental for all algebraic numbers α which satisfy 0<α<1. For a sequence u, denote the Hankel matrix $H_{n}^{p}(\mathbf {u}):=(u({p+i+j-2}))_{1\leqslant i,j\leqslant n}$ . Let α be a real number. The irrationality exponent μ(α) is defined as the supremum of the set of real numbers μ such that the inequality |α?p/q|<q ^?μ has infinitely many solutions (p,q)∈?×?. In this paper, we first prove that the determinants of $H_{n}^{1}(\mathbf {g})$ and $H_{n}^{1}(\mathbf{f})$ are nonzero for every n?1. We then use this result to prove that for b?2 the irrationality exponents $\mu(\mathcal{F}(1/b))$ and $\mu(\mathcal{G}(1/b))$ are equal to 2; in particular, the irrationality exponent of the sum of the reciprocals of the Fermat numbers is 2.