本文针对湖南科技学院数值分析课程的改革进行了研究,旨在提升师范生的数学素养和教学应用能力。研究发现,现行课程过于侧重理论,未能有效与实际教学相结合。通过更新课程内容、创新教学方法、强化实践教学以及优化评价体系,课程改革显...本文针对湖南科技学院数值分析课程的改革进行了研究,旨在提升师范生的数学素养和教学应用能力。研究发现,现行课程过于侧重理论,未能有效与实际教学相结合。通过更新课程内容、创新教学方法、强化实践教学以及优化评价体系,课程改革显著提高了学生的满意度和参与度。研究结果为高校数值分析课程的改革提供了实践指导,有助于培养具备扎实数学素养的师范生,从而提升基础教育的整体质量。This paper examines the reform of the numerical analysis course in Hunan University of Science and Engineering (HUSE), aiming to improve the mathematical literacy and teaching application ability of teacher trainees. It is found that the current course focuses too much on theory and fails to effectively integrate with practical teaching. By updating the course content, innovating the teaching methods, strengthening the practical teaching and optimizing the evaluation system, the reform of the course has significantly improved students’ satisfaction and participation. The results of this study provide practical guidance for the reform of numerical analysis courses in universities, which can help train teacher trainees with solid mathematical literacy and improve the overall quality of basic education.展开更多
数学核心素养是数学教师从事中小学数学教育教学工作的基本素养,是数学专业师范生形成教学能力的前提条件。本文从培育数学专业师范生的核心素养出发探讨怎样求球缺体积公式,使学生学会利用所学专业知识多角度分析和解决数学问题,加深...数学核心素养是数学教师从事中小学数学教育教学工作的基本素养,是数学专业师范生形成教学能力的前提条件。本文从培育数学专业师范生的核心素养出发探讨怎样求球缺体积公式,使学生学会利用所学专业知识多角度分析和解决数学问题,加深对《数学分析》课程中积分学内容的整体理解,使所学积分学知识形成一个连贯的整体,提高对积分学内容的认识。进一步培养学生的直观想象、逻辑推理、数学运算等数学核心素养。Mathematical core literacy is the basic literacy for mathematics teachers to engage in mathematics education and teaching in primary and secondary schools, and is a prerequisite for normal students majoring in mathematics to form teaching abilities. Segment volume formula is discussed from cultivating the core literacy of normal students majoring in mathematics in the paper, so that students can use their professional knowledge to analyze and solve mathematical problems from multiple perspectives, deepen their overall understanding of the integration content in the course of Mathematical Analysis, form a coherent whole of the integration knowledge learned, and improve their understanding of the integration content, further cultivate students’ mathematical core literacy such as intuitive imagination, logical reasoning, and mathematical operations.展开更多
本文提出了一种新型数值求解方法,该方法将四阶Runge-Kutta法与Newton迭代法相结合,旨在高效求解流体力学中的Blasius方程边值问题。首先,我们将Blasius方程转化为一组一阶微分方程组,并采用四阶Runge-Kutta法(RK4)进行数值求解。随后,...本文提出了一种新型数值求解方法,该方法将四阶Runge-Kutta法与Newton迭代法相结合,旨在高效求解流体力学中的Blasius方程边值问题。首先,我们将Blasius方程转化为一组一阶微分方程组,并采用四阶Runge-Kutta法(RK4)进行数值求解。随后,引入Newton迭代法动态调整初始条件,以确保满足边界条件的要求。实验结果表明,与传统的打靶法和结合打靶法的四阶Runge-Kutta法(SRK)进行对比实验,新方法在迭代次数和计算时间上均展现显著优势,同时求解精度也得到提升。In this paper, we propose a novel numerical solution method that combines the fourth-order Runge-Kutta method with the Newton iterative method, aiming to efficiently solve the margin problem of Blasius equation in fluid mechanics. Firstly, we transform the Blasius equation into a set of first-order differential equations and solve it numerically using the fourth-order Runge-Kutta method (RK4). Subsequently, the Newton iteration method is dynamically introduced to adjust the initial conditions to ensure that the boundary conditions are satisfied. The experimental results show that the new method exhibits significant advantages in terms of the number of iterations and computation time, as well as improved solution accuracy, in comparison experiments with the traditional shooting method and the Runge-Kutta method (SRK) combined with the improved shooting method.展开更多
在我国的华北山区,耕地类型多样且分布零散、农作物种植种类多,因此合理选种与优化种植可提升管理效率,减少各种不确定因素可能造成的种植风险。建立以农作物种植的时空限制为约束条件,销售利益为目标函数的线性规划模型,利用此模型,可...在我国的华北山区,耕地类型多样且分布零散、农作物种植种类多,因此合理选种与优化种植可提升管理效率,减少各种不确定因素可能造成的种植风险。建立以农作物种植的时空限制为约束条件,销售利益为目标函数的线性规划模型,利用此模型,可得出不同销售情况下各地域的时空演变趋势和最佳种植方案,实现各类作物种植结构最优化,可为山区农业可持续性发展提供方向,对实现农业资源可持续利用具有重要意义。In the mountainous areas of North China, there are diverse types of cultivated land that are scattered, and a wide variety of crops are planted. Therefore, rational selection of seeds and optimization of planting can improve management efficiency and reduce planting risks that may be caused by various uncertain factors. A linear programming model is established with the temporal and spatial constraints of crop planting as the constraint conditions and sales profit as the objective function. By using this model, the temporal and spatial evolution trends of different regions under different sales situations and the optimal planting plan can be obtained, realizing the optimization of the planting structure of various crops. This can provide a direction for the sustainable development of mountainous agriculture and is of great significance for the sustainable utilization of agricultural resources.展开更多
针对消费者对于购买新能源汽车的意愿存在很大的不确定性的问题,基于顾客满意度以及个人特征信息为影响的主要因素进行分析,采用决策树模型对顾客的购买意愿进行研究。通过案例分析,得出影响各品牌顾客购买意愿的主要因素,即对于品牌1...针对消费者对于购买新能源汽车的意愿存在很大的不确定性的问题,基于顾客满意度以及个人特征信息为影响的主要因素进行分析,采用决策树模型对顾客的购买意愿进行研究。通过案例分析,得出影响各品牌顾客购买意愿的主要因素,即对于品牌1和品牌3,影响顾客购买意愿的主要因素为电动汽车的质量和驾驶感受,而对于品牌2,主要影响因素为经济问题。并由Kano模型满意度对各品牌营销给出了营销建议。There is great uncertainty about consumers’ willingness to buy new energy vehicles. Based on customer satisfaction and personal characteristics as the main factors of the analysis. The decision tree model is used to study the purchase intention of customers. Through case analysis, we identify the main factors that affect customers’ purchasing intentions for various brands. For brands 1 and 3, the main factors affecting customer purchase intention are the quality and driving experience of electric vehicles, while for brand 2, the main influencing factor is economic issues. And the satisfaction of the Kano model was used to provide marketing recommendations for each brand’s marketing.展开更多
随着时代的不断进步,教育方法和模式也在不断地创新,其中美国教授凯勒所提出的ARCS动机模型是目前最全面的激发学习动机的模型。本文首先对ARCS动机模型的相关概念做出论述,其次探究学生在不同层面的学习动机水平以及当前教学中存在的...随着时代的不断进步,教育方法和模式也在不断地创新,其中美国教授凯勒所提出的ARCS动机模型是目前最全面的激发学习动机的模型。本文首先对ARCS动机模型的相关概念做出论述,其次探究学生在不同层面的学习动机水平以及当前教学中存在的动机问题。最后,在ARCS动机模型已有的策略基础上,提出更有针对性的数学教学策略表,进而促进初中数学教学质量的提升。With the continuous progress of the times, educational methods and models are also constantly innovating, among which the ARCS motivation model proposed by American professor Keller is currently the most comprehensive model for stimulating learning motivation. This article first discusses the relevant concepts of the ARCS motivation model, and then explores students’ learning motivation levels at different levels and the motivation issues that currently exist in teaching. Finally, based on the existing strategies of the ARCS motivation model, a more targeted mathematics teaching strategy table is proposed to promote the improvement of the quality of junior high school mathematics teaching.展开更多
文摘本文针对湖南科技学院数值分析课程的改革进行了研究,旨在提升师范生的数学素养和教学应用能力。研究发现,现行课程过于侧重理论,未能有效与实际教学相结合。通过更新课程内容、创新教学方法、强化实践教学以及优化评价体系,课程改革显著提高了学生的满意度和参与度。研究结果为高校数值分析课程的改革提供了实践指导,有助于培养具备扎实数学素养的师范生,从而提升基础教育的整体质量。This paper examines the reform of the numerical analysis course in Hunan University of Science and Engineering (HUSE), aiming to improve the mathematical literacy and teaching application ability of teacher trainees. It is found that the current course focuses too much on theory and fails to effectively integrate with practical teaching. By updating the course content, innovating the teaching methods, strengthening the practical teaching and optimizing the evaluation system, the reform of the course has significantly improved students’ satisfaction and participation. The results of this study provide practical guidance for the reform of numerical analysis courses in universities, which can help train teacher trainees with solid mathematical literacy and improve the overall quality of basic education.
文摘数学核心素养是数学教师从事中小学数学教育教学工作的基本素养,是数学专业师范生形成教学能力的前提条件。本文从培育数学专业师范生的核心素养出发探讨怎样求球缺体积公式,使学生学会利用所学专业知识多角度分析和解决数学问题,加深对《数学分析》课程中积分学内容的整体理解,使所学积分学知识形成一个连贯的整体,提高对积分学内容的认识。进一步培养学生的直观想象、逻辑推理、数学运算等数学核心素养。Mathematical core literacy is the basic literacy for mathematics teachers to engage in mathematics education and teaching in primary and secondary schools, and is a prerequisite for normal students majoring in mathematics to form teaching abilities. Segment volume formula is discussed from cultivating the core literacy of normal students majoring in mathematics in the paper, so that students can use their professional knowledge to analyze and solve mathematical problems from multiple perspectives, deepen their overall understanding of the integration content in the course of Mathematical Analysis, form a coherent whole of the integration knowledge learned, and improve their understanding of the integration content, further cultivate students’ mathematical core literacy such as intuitive imagination, logical reasoning, and mathematical operations.
文摘本文提出了一种新型数值求解方法,该方法将四阶Runge-Kutta法与Newton迭代法相结合,旨在高效求解流体力学中的Blasius方程边值问题。首先,我们将Blasius方程转化为一组一阶微分方程组,并采用四阶Runge-Kutta法(RK4)进行数值求解。随后,引入Newton迭代法动态调整初始条件,以确保满足边界条件的要求。实验结果表明,与传统的打靶法和结合打靶法的四阶Runge-Kutta法(SRK)进行对比实验,新方法在迭代次数和计算时间上均展现显著优势,同时求解精度也得到提升。In this paper, we propose a novel numerical solution method that combines the fourth-order Runge-Kutta method with the Newton iterative method, aiming to efficiently solve the margin problem of Blasius equation in fluid mechanics. Firstly, we transform the Blasius equation into a set of first-order differential equations and solve it numerically using the fourth-order Runge-Kutta method (RK4). Subsequently, the Newton iteration method is dynamically introduced to adjust the initial conditions to ensure that the boundary conditions are satisfied. The experimental results show that the new method exhibits significant advantages in terms of the number of iterations and computation time, as well as improved solution accuracy, in comparison experiments with the traditional shooting method and the Runge-Kutta method (SRK) combined with the improved shooting method.
文摘在我国的华北山区,耕地类型多样且分布零散、农作物种植种类多,因此合理选种与优化种植可提升管理效率,减少各种不确定因素可能造成的种植风险。建立以农作物种植的时空限制为约束条件,销售利益为目标函数的线性规划模型,利用此模型,可得出不同销售情况下各地域的时空演变趋势和最佳种植方案,实现各类作物种植结构最优化,可为山区农业可持续性发展提供方向,对实现农业资源可持续利用具有重要意义。In the mountainous areas of North China, there are diverse types of cultivated land that are scattered, and a wide variety of crops are planted. Therefore, rational selection of seeds and optimization of planting can improve management efficiency and reduce planting risks that may be caused by various uncertain factors. A linear programming model is established with the temporal and spatial constraints of crop planting as the constraint conditions and sales profit as the objective function. By using this model, the temporal and spatial evolution trends of different regions under different sales situations and the optimal planting plan can be obtained, realizing the optimization of the planting structure of various crops. This can provide a direction for the sustainable development of mountainous agriculture and is of great significance for the sustainable utilization of agricultural resources.
文摘针对消费者对于购买新能源汽车的意愿存在很大的不确定性的问题,基于顾客满意度以及个人特征信息为影响的主要因素进行分析,采用决策树模型对顾客的购买意愿进行研究。通过案例分析,得出影响各品牌顾客购买意愿的主要因素,即对于品牌1和品牌3,影响顾客购买意愿的主要因素为电动汽车的质量和驾驶感受,而对于品牌2,主要影响因素为经济问题。并由Kano模型满意度对各品牌营销给出了营销建议。There is great uncertainty about consumers’ willingness to buy new energy vehicles. Based on customer satisfaction and personal characteristics as the main factors of the analysis. The decision tree model is used to study the purchase intention of customers. Through case analysis, we identify the main factors that affect customers’ purchasing intentions for various brands. For brands 1 and 3, the main factors affecting customer purchase intention are the quality and driving experience of electric vehicles, while for brand 2, the main influencing factor is economic issues. And the satisfaction of the Kano model was used to provide marketing recommendations for each brand’s marketing.
文摘随着时代的不断进步,教育方法和模式也在不断地创新,其中美国教授凯勒所提出的ARCS动机模型是目前最全面的激发学习动机的模型。本文首先对ARCS动机模型的相关概念做出论述,其次探究学生在不同层面的学习动机水平以及当前教学中存在的动机问题。最后,在ARCS动机模型已有的策略基础上,提出更有针对性的数学教学策略表,进而促进初中数学教学质量的提升。With the continuous progress of the times, educational methods and models are also constantly innovating, among which the ARCS motivation model proposed by American professor Keller is currently the most comprehensive model for stimulating learning motivation. This article first discusses the relevant concepts of the ARCS motivation model, and then explores students’ learning motivation levels at different levels and the motivation issues that currently exist in teaching. Finally, based on the existing strategies of the ARCS motivation model, a more targeted mathematics teaching strategy table is proposed to promote the improvement of the quality of junior high school mathematics teaching.
