几道英语题的数学解法

“它山之石,可以攻玉。”用换位思考的方法去解决一些问题,借助于自己擅长的手段去填补在某一方面的短缺,或许会豁然开朗,使得一些问题应刃而解。在多年的英语教学中,我认为以下几个问题可以借用数学的方法来解决,会起到事半     

概率论与数学分析知识的相互运用

通过一些实例讨论了数学分析方法在概率论中的运用,以及数学分析中的一些问题也可用概率论的方法去解决.     

概率论与数学分析中的方法的相互运用

本文通过一些实例讨论了微积分方法在概率论中的运用以及数学分析中的一些问题可用概率方法去解决     

用化归法巧解平面图形问题

我们常常会碰到这样一些问题,用一般方法去斛比较棘手,这时我们不妨变换一下方式去思考,把它们转化成我们熟知的问题,通过对熟知问题的解决,使原来的问题得到解决。尤其在解答复杂的平面图形问题时,经常要用到这种方法——化归法。     

公式的模糊与清晰及记忆方法

数学公式是解决教学问题的必备工具．然而有些人在解决数学问题的过程中,待要使用公式时却常常记不清楚要使用的公式。于是不得不去查资料,找公式．这不仅减缓了解决数学问题速度,更重要的是由于不熟悉公式的特点而至使解题失败。本文试就数学公式的特点和记忆方法作一些探索,提出一些方法,使公式在解决数学问题中不仅能灵活应用,还能将公式长期性记忆．     

数与形

通过几个例子阐述了数与形的密切联系,“形”给出了“数”的几何直观,“数”揭示了“形”的本质特征,用数形结合的方法去解决一些数学问题,可使问题很快得到解决,有的数学问题,只有通过形才能得到解决。     

用“类比与归纳”破解高考题

在解决问题的过程中，一种常见的方法就是选出一些类似的、特殊的问题，去解决它，改造它的解法，寻求解法的核心，以便将它用作一个模式，然后。利用刚刚建立的模式。去解决原来的问题，波利亚指出：“这种方法在外人看来似乎是迂回绕圈子，但在数学上或数学以外的科学研究中是常用的，”恰当运用这种科学方法，可以有效地破解一些高考题。     

数与形

通过几个例子阐述了数与形的密切联系,"形"给出了"数"的几何直观,"数"揭示了"形"的本质特征,用数形结合的方法去解决一些数学问题,可使问题很快得到解决,有的数学问题,只有通过形才能得到解决.     

数学思想在圆的计算中的应用

运用数学的基本概念、典型方法及某些特性去探索、解决问题的基本思维方法,就是我们所说的数学思想。它可以帮助我们利用学过的知识,把需要解决的问题归类解决。下面介绍一些常见的用数学思想解圆的计算的问题。     

例谈转化思想在立体几何教学中的运用

本文是笔者对立体几何教学中如何启发学生应用转化与化归的思想方法去分析和解决有关问题的一些做法与体会。     

创新科研型中学数学教师职前教育探究

剖析当前中学数学职前教育实践活动存在的问题,探讨解决问题的突破口——创新科研型中学数学教师职前教育,提出一些改进的方法.     

The effectiveness of two methods for teaching a constraint-seeking questioning strategy to students with learning disabilities

This study investigated the relative effectiveness of two methods of teaching an efficient questioning strategy to students with learning disabilities. The methods compared were (a) cognitive modeling alone in the use of constraint-seeking questions, and (b) cognitive modeling and verbalization in the use of constraint-seeking questions, involving explicit and consistent instruction and feedback. Sixty subjects with learning disabilities were assigned randomly to one of these two conditions (n = 30 in each group). A pretreatment and posttreatment design was employed, with the criterion variable being number of questions required to obtain the correct answers to two 20 questions games. Results indicated that both groups showed significant reductions from pretreatment to posttreatment in the number of questions required. The two methods of instruction did not differ significantly in effectiveness.     

The future of applied child development research and public policy

After reviewing a brief general history of applied child development research, this paper suggests that in the future we should study questions that society needs to answer as well as questions that might contribute to theory, and that our research methods need to be adjusted to match these types of questions. Further, academics are urged to broaden their audience from a nearly exclusive focus on other academics to a focus on the three ps--practitioners, policymakers, and the public--and to recognize that scholarship is packaged differently for these audiences. Finally, it is suggested that applied child development research should market as well as sell, partner with nonacademic groups, disseminate results more vigorously, and focus efforts on local as well as national issues.     

我国合作学习理论研究的问题与方法

在我国教学理论研究中，合作学习是一个重要教学策略。深化对该策略的研究，尚须解决概念体系、目标体系、运作机制、师生的行为及特点、教师培训等五个方面的问题。解决这些问题，需要综合历史的研究方法、理论的研究方法、实证实验的方法、跨学科的方法和建立模型的方法。     

用高等数学方法证明不等式问题的研究

主要讨论了如何利用高等数学的方法证明不等式问题。提出六种常用的方法，并指出每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，最后结合实例说明方法的可用性。     

Research Methods and Types of Evidence for Research in Educational Technology

Recent concern about lack of scientific rigor in educational research has led to a reexamination of educational research methods. Methodology requires particular attention when researchers study learning in complex learning environments such as classrooms or computer-driven environments that simulate complex processes. This article reaffirms the importance of experimental research for answering some research questions. It argues that nonexperimental methods, such as design experiments and methods applied to the study of large-scale educational programs, such as randomized field trials, are useful for answering other kinds of research questions about learning in complex settings. This article discusses the validity of evidence gathered using these nonexperimental methods. Finally, it suggests that the study of the dynamics of learning can help integrate data from experiments that reveal details about learning and data from nonexperimental research that reveal how learning occurs in complex settings.     

高校微机房管理的技术手段

病毒广泛传播、硬盘上教学软件被使用者有意无意地破坏是高校公用机房单机管理中普遍存在的问题，教学实验常常因此受到严重干扰。本文对解决该问题的种种方法进行了分析，提出用硬盘逻辑分区写保护法解决这个问题，并给出软、硬两种实现办法。前者能在软驱正常使用的情况下防止用户从软盘启动机器突破硬盘“防线”，并成功地用于机房管理；后者允许从软盘启动，也能对特定分区进行写保护。     

NEWS AND INFORMATION

The purpose of the investigation was to determine whether and how the quality of students’ explanations of chemical phenomena was affected by changing the method of giving the question and answer, respectively, between the spoken and written formats. It also focused on these effects for different questions and different students. Two experiments used the same population of first‐year university students who attempted the same set of questions, variously presented and answered in each of the four different ways of combining these two methods of questioning and answering. From the results, it was concluded that, for these students and questions, there was no observable difference between the performance of the students using any of these combinations of formats.

     

孔门师生问对透视

以《论语》中涉及师一弟子问对的记载为素材,分析其中弟子发问,孔子答与不答、如何解答;孔子发问有何特点,对弟子的回答作何表示;弟子对孔子的解答如何反应。从这一侧面窥测孔子施教的生动情景。     

关于高等数学教学上的一些问题和对策

提出了近几年高等数学教学上出现的一些问题,主要是课程内容设计、课堂教学方法以及成绩考评等方面的问题。为了更好的服务教学,针对这些问题作者进一步提出了解决方法。