概率论与数理统计教学案例研究

给出了概率论与数理统计课程中的两个教学案例.案例一是针对新冠筛查中逐一检验和分组检验的问题,结合概率论与数理统计中离散型随机变量的分布列及其数学期望的知识点给出的,并进行了问题的引申研究.案例二是针对图像加密的安全性问题,结合概率论与数理统计中相关系数定义以及基于概率的信息熵的概念,给出了一个适用于信息安全专业的专业案...     

概率论与数理统计研究型教学的案例分析

通过娃哈哈赠券收集的案例分析提出了概率论与数理统计习题课研究型教学的概念和方法,展示了概率论与数理统计在社会生活领域的一些生动应用.通过以案例驱动开展研究型教学实现了习题课课堂教学的趣味性,体现了知识的实用性,激发了学生们的学习兴趣和协作探究意识,进一步将自主学习和协作探究相结合提升了课堂的教学效果,培养了学生的数学思维习惯.     

基于MOOC+SPOC+翻转课堂的概率论与数理统计混合式教学实践

为培养学生自主学习能力,提高学生的学习质量和效率,针对概率论与数理统计学科特点,采用概率论与数理统计MOOC资源为教学内容,SPOC平台为教学环境,翻转课堂为教学方法,进行混合式教学实践.介绍了翻转课堂的教学模式、教学设计、教学案例和学生反馈.这种混合式翻转课堂的教学模式有效地实现了以学生为中心,学生学习与发展成效驱动的教育目标.     

人工智能融入新工科概率论与数理统计课程的延伸教学探究

本文选取搜索引擎语法纠错的条件概率应用和图像模糊滤镜的二维正态分布应用案例，探究将其引入概率论与数理统计的延伸教学环节中的实践方法.     

随机变量独立性与不相关的一点教学思考

通过几个教学案例,分析了随机变量的独立性的重要性及它与不相关的关系,阐述了在概率论与数理统计课程教学中如何培养学生的数学思维创新能力.     

基于唯物辩证法的概率论与数理统计课程思政建设与实践

通过概率论与数理统计课程思政建设,将唯物辩证法的认识论与方法论渗透于教学设计和教学实践中,把大量的应用案例和教书育人相结合,学生既掌握了知识,又树立正确的人生观和价值观,提高独立思考能力和理性思辨的能力.通过实践教学,加深了学生对基本概念的理解,将理论与实践相统一,既增强了学生的动手能力,又培养了学生的创新思维能力和解...     

《概率论与数理统计》课程的“慕课”建设探讨

结合学校提出的"以能力为导向的一体化人才培养方案"和《概率论与数理统计》课程新的教学大纲的实施.我们通过问卷调查的形式了解学生"慕课"(MOOC)的使用现状,同时对目前各种网络平台提供的《概率论与数理统计》MOOC课程从建设思路、教学设计、学习特征等方面进行了探讨.根据现有的MOOC课程的特点分析了问卷调查中MOOC使用率偏低的各种可能因素,并有针对性的提出了若干建议.     

概率统计课程思政教学案例设计与分析——以贝叶斯公式为例

本文选取了概率论与数理统计课程中的典型内容“贝叶斯公式”,从设计思路、案例的具体设计以及案例的思政价值和成效三个方面，进行了多角度、深层次的设计，使学生在学习知识的同时，接受诚信、爱国等价值观的引导，达到育人的目的.     

概率论与数理统计实验教学案例设计

为克服传统数学教学模式局限于理论教学的弊端而倡导实践教学,设计出一个概率论与数理统计实验教学的案例,将线性回归分析应用于高光谱遥感图像的处理之中.     

《概率论与数理统计》课程思政案例设计及应用

以概率论与数理统计的教学内容为基础,结合实际生活设计思政案例,深挖案例中蕴含的"思政元素"及所承载的思想政治教育功能,将思政元素有机的融入课堂教学,把"知识传授"与"价值引领"有机统一起来,做到立德树人,培养具有社会主义核心价值观的有用人才.     

铺垫式教学法在高等数学教学中的应用

结合具体教学案例,从引入类比、利用反例、提出猜想、运用实例等几个方面探讨了铺垫式教学法在高等数学教学中的应用。     

Teaching Children to be Mathematicians Versus Teaching About Mathematics

The important difference between the work of a child in an elementary mathematics class and that of a mathematician is not in the subject matter (old fashioned numbers versus groups or categories or whatever) but in the fact that the mathematician is creatively engaged in the pursuit of a personally meaningful project. In this respect a child's work in an art class is often close to that of a grown‐up artist. The paper presents the results of some mathematical research guided by the goal of producing mathematical concepts and topics to close this gap. The prime example used here is ‘Turtle Geometry’, which is concerned with programming a moving point to generate geometric forms. By embodying the moving point as a ‘cybernetic turtle’ controlled by an actual computer, the constructive aspects of the theory come out sufficiently to capture the minds and imaginations of almost all the elementary school children with whom we have worked—including some at the lowest levels of previous mathematical performance.

     

Enhancing Teaching Assistants' (TAs') Inquiry Teaching by Means of Teaching Observations and Reflective Discourse

Recent education reform efforts advocate teaching the process of science (inquiry) in undergraduate lecture and laboratory classes. To meet this challenge, professional development for the graduate student instructors (teaching assistants, or TAs) often assigned to teach these classes is needed. This study explored the implementation of an observation protocol designed to support peer observation and reflection among TAs teaching inquiry‐based undergraduate biology laboratories. The researchers of this study and TA‐peers who are experienced in teaching inquiry used the protocol to observe novice TAs at the beginning, mid‐point, and end of a semester‐long teaching assignment. Novice TAs used a modified version of this protocol to observe an experienced and a novice TA. Analysis of post‐semester interview data indicated engaging in both sets of observations and post‐observation discussions facilitated by the protocol gave novice TAs new ways to teach content, guidance on implementing pedagogical theory, and means to improve communications with students and classroom management skills. Researchers also used quantitative data collected from the observations to document frequency of teaching and student behaviors associated with teaching inquiry and how these frequencies changed during the semester. Considerations for how to use both sets of data to inform changes in TA professional development are discussed.