关于高等数学应用教学改革的探讨

文章从三个方面对高等数学应用教学的改革进行了论述 ,并结合教学实际论证了高等数学应用教学现存的问题及改进的措施。

基于大数据驱动的高等应用数学教学平台设计

为了解决传统的高校对于高等应用数学单一的教学方式效果差、对教学环境要求高等缺点,以大数据驱动作为基础,建立了高等应用数学教学平台。该教学平台为三层架构,主要包括用户服务层、业务层和数据库。为了实现教学平台个性化、智能化的教学设计,采用协同过滤算法对教学平台进行课程推荐功能的设计,并分别针对新用户和老用户对协同过滤算法进行了改进。对顾客的满意度进行定量和定性的综合性分析,采用层次分析的方法从用户角度出发对教学平台的用户满意度进行设计。为了验证该教学平台的性能,对其进行平台有效性试验和评价指标试验。试验结果表明该教学平台在不同使用人数条件下,反应时间一般在4 s左右,对于平台的教学内容、教学质量等评价指标的评分均在7分左右,符合用户要求。

Research on the Applications of Advanced Mathematics on Mathematical Modeling and the Inner Connections with Linear Algebra and Probability Statistics

In this paper, we conduct research on the applications of advanced mathematics on the mathematical modeling and the inner connections with linear algebra and the probability statistics. Aiming at model in mathematical modeling and solving and model of evaluation and promotion of the two links, put forward the ＂bystander＂ and ＂the authorities＂ this two characters, and points out that excellent mathematical modeling participants should have ＂from a bystander to the authorities＂ and ＂from the authorities to return to bystanders＂ two-way role transformation ability. Great situation in mathematics teaching, by means of the mathematical modeling formed in the development of the teachers, as well as the teaching thought, teaching experience and achievements, the onward march of mathematical experiment should be faster than mathematical modeling. Our research provides the new paradigm for the math development which will be meaningful.