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关键词： 高等数学   课程思政   教学改革  

摘要： 在新时代教育浪潮中,高等数学课程所蕴含的思政教育已成为推动学生全面发展的关键举措。本文以曲率教学为切入点,深入探索课程思政与高等数学教学的融合路径。在梳理融合逻辑的基础上,运用案例分析法挖掘曲率教学中的思政元素。在教学实践中,设定多维度教学目标,采用问题导向、小组合作等教学方法,将思政元素巧妙融入曲率教学过程,为数学基础课教育与思政教育协同育人提供范式参考。In the context of the new era of educational reform, the ideological-political education embedded in advanced mathematics courses has emerged as a pivotal initiative for fostering students’ holistic development. This study takes curvature instruction as an entry point to thoroughly explore the integration pathways between curriculum-based ideological education and advanced mathematics pedagogy. Through systematic analysis of the inherent integration logic and application of case analysis methodology, the research excavates ideological-political elements within curvature teaching. Practical implementation involves establishing multidimensional instructional objectives and adopting pedagogical approaches such as problem-based learning and collaborative group work, thereby artfully infusing ideological-political elements into the curvature teaching process. The outcomes provide paradigmatic references for developing a synergistic educational model that harmonizes fundamental mathematics instruction with ideological-political cultivation.

关键词： 视角学习理论   高等数学   混合式教学  

摘要： 在高等数学教学中,如何实现理论与实践的有效融合,提升学生的学习参与度与学习成效,一直是教学改革的重要方向。随着信息技术的广泛应用,混合式教学模式逐渐成为教学创新的核心路径。在此背景下,文章基于全视角学习理论对高等数学混合式教学模式展开探索,给出全视角学习理论下高等数学混合式教学模式探索的具体步骤,旨在更好地平衡内容传递、动机激发与课堂互动,从而推动高等数学教学改革迈向更高水平。

关键词： 高等数学   DeepSeek   传统教育方式   课程思政  

摘要： DeepSeek作为先进的人工智能平台,通过智能解题辅助、动态资源生成、跨学科融合和个性化服务,正在重构高等数学的教学范式。“教而不研则浅,研而不教则空”。本文探讨通过引入DeepSeek辅助工具以重塑师生关系和改善教育生态。针对如何进化教师的角色、升级学生的身份以及课程思政融入课堂教学,培养AI时代所需要的创新型人才,其核心价值不仅在于提升教学效率,更在于激发学生的数学思维与创新潜力。DeepSeek, as an advanced artificial intelligence platform, is reconstructing the teaching paradigm of higher mathematics through intelligent problem-solving assistance, dynamic resource generation, interdisciplinary integration, and personalized services. Teaching without studying is shallow, and studying without teaching is empty. This article explores the use of DeepSeek as an auxiliary tool to reshape teacher-student relationships and improve the educational ecosystem. Addressing how to evolve the role of teachers, upgrade the status of students, and integrate ideological and political education into classroom teaching to cultivate innovative talents needed in the AI era, its core value lies not only in enhancing teaching efficiency but also in stimulating students’ mathematical thinking and innovative potential.

关键词： 新工科   高等数学   混合式教学  

摘要： 文章基于新工科背景和混合式教学理论,从以学生为中心和实践导向的教学原则入手,针对高职院校高等数学课程的特点,提出了挖掘优质资源、融入案例实践、整合智能技术及创新评价模式等策略,旨在为新工科背景下高等数学课程的教学改革提供有益参考。

关键词： 高等数学   课程思政   评价体系   切入点   实践环节  

摘要： 为了挖掘新时代高等数学课程思政元素和寻找有效的实施路径,本文提出了提升教师课程思政育人效果的策略,制定了系统科学的评价体系,设计了高等数学课程融入思政元素有效切入点,配备了相应的实践教学环节。这些课程思政元素在职业教育理念引领下,以信息化教学手段为保障,秉承以学生为本的理念,实现了从“学数学”到“做数学”转变的高效课堂。高等数学知识与课程思政元素的融入,一方面增强了学生的动手能力和课程参与感,获得了良好的学习效果;另一方面有助于学生树立良好的价值观,实现课程育人目标。

关键词： 工程教育认证   高等数学   人工智能专业   教学探索  

摘要： 《高等数学》是理工科人才培养的核心基础课程,在工程实践领域具有广泛的应用价值。随着工程教育认证体系的不断完善,其对高等数学课程的教学质量提出了更加明确的标准和要求。本文以天津师范大学人工智能专业的高等数学教学实践为研究对象,通过分析课程教学内容与教学方法的改革创新,探索提升学生数学素养和实践应用能力的有效途径。 Higher Mathematics is a core fundamental course in the cultivation of science and engineering talents and has extensive application value in the field of engineering practice. With the continuous improvement of the engineering education accreditation system, it has put forward more explicit standards and requirements for the teaching quality of the Higher Mathematics course. This paper takes the teaching practice of Higher Mathematics for the Artificial Intelligence major at Tianjin Normal University as the research object and explores effective ways to improve students’ mathematical literacy and practical application abilities by analyzing the reform and innovation of teaching content and methods.

关键词： 思政教育   学习兴趣   文科高等数学   课堂教学方法  

摘要： 随着时代发展网络发达信息爆炸,外界的吸引力和诱惑增大,文科生学习高等数学的兴趣逐渐减弱,学习动力也相应下降,而思政教育为学生提供了一种全新的学习视角,能够将抽象的数学知识与人生观价值世界观塑造相结合,理解数学在现实生活中的应用价值,意识到数学学习的重要性和实用性。本文探讨融入思政教育元素的文科高等数学课堂教学方法,以此为课程教学提供新的思路,激发文科生学习高等数学的兴趣,培养具有正确思政观念和良好道德素养的人才。With the development of the times, the development of the Internet and the explosion of information, the attraction and temptation of the outside world have increased, and the interest of liberal arts students in learning advanced mathematics has gradually weakened, and their learning motivation has also decreased accordingly. Ideological and political education provides students with a new learning perspective, which can combine abstract mathematical knowledge with the shaping of life values and world outlook, understand the application value of mathematics in real life, and realize the importance and practicality of mathematical learning. This paper explores the classroom teaching method of liberal arts advanced mathematics that incorporates ideological and political education elements, so as to provide new ideas for course teaching, stimulate the interest of liberal arts students in learning advanced mathematics, and cultivate talents with correct ideological and political concepts and good moral qualities.

关键词： 高等数学   数列的极限   思政   案例  

摘要： 数列极限,作为高等数学这座巍峨大厦的基石,其教学改革的成功对于后续微积分、函数极限等复杂知识体系的构筑,发挥着举足轻重的推动作用。传统的教学模式往往偏重于理论的灌输,导致学生课堂参与度欠佳,学习热情不高。鉴于此,本研究独辟蹊径,创造性地提出了“双轮驱动”这一新颖的教学理念。该理念旨在通过双管齐下的教学策略,既强化理论基础,又提升学生实践参与度,为数列极限的教学注入新的活力,助力学生更好地掌握这一核心知识点,为后续的数学学习奠定坚实的基础。The limit of sequences, as the cornerstone of the towering edifice of higher mathematics, plays a crucial role in driving the construction of more complex knowledge systems, such as calculus and function limits. The success of its teaching reform significantly influences the understanding and mastery of these subsequent topics. Traditional teaching methods often emphasize theoretical instruction, which leads to low student engagement and lackluster enthusiasm for learning. In response to this, this study takes an innovative approach by creatively proposing the “Dual-Driving” teaching concept. This concept aims to employ a dual-strategy approach that strengthens theoretical foundations while enhancing student participation in practice. The goal is to inject new vitality into the teaching of sequence limits, helping students better master this core concept and laying a solid foundation for their future mathematical studies.

关键词： 高职   数字化教材   关键要素   实践路径   汽车类高等数学  

摘要： 随着教育数字化的推进,职业教育数字教材作为数字技术与职业教育教学深度融合的产物,深刻影响着职业教育人才培养质量。本文聚焦高职数学数字化教材建设,以汽车类高等数学为例,深入探讨数字化教材建设的关键要素,包括内容设计、资源整合、平台搭建等方面,提出具体的实践路径,旨在为高职数学教学改革提供有益参考,推动高职数学教育教学的高质量发展。

关键词： GeoGebra软件   可视化   高等数学   教学创新  

摘要： 借助GeoGebra,利用其可视化和动态演示的特点,探索“高等数学”课程中极限、导数、积分等核心概念的教学应用,同时发挥其代数功能以辅助计算。借助该软件,教师能够优化教学方法,创新性地实现数形结合、化静为动等教学策略,有效克服传统数学教学中枯燥、单一、抽象等问题,从而提升教学效果。