This comprehensive study investigates key aspects of mathematics education in higher education institutions, focusing on curriculum effectiveness, teaching practices, and faculty challenges. The research delves into the perceptions of mathematics majors, examining demographic profiles, curriculum efficacy, instructional quality within teaching evaluation systems, and challenges faced by faculty in implementing innovative teaching methods. Demographic analysis reveals a diverse participant group, with a balanced representation across age groups, genders, and educational backgrounds. Notably, faculty members with varying teaching experiences contribute to a nuanced understanding of challenges within the mathematics major. Findings highlight strong consensus among mathematics majors on the effectiveness of the current curriculum, emphasizing its role in academic success and professional application. The study underscores the importance of curriculum redesign to align with industry demands and foster real-world problem-solving skills. Positive perceptions of teaching evaluation systems affirm their impact on instructional quality, learning outcomes, and overall teaching practices in mathematics courses. Challenges faced by faculty, particularly time constraints and resistance to change, signal the need for targeted support programs. The study proposes InnovateMath, a transformative program aiming to revitalize curriculum design, promote innovative teaching, and address faculty challenges. The program emphasizes collaboration, technology integration, and ongoing support networks to enhance mathematics education.

Ingratiating discourse is a social phenomenon that appears under the background of social transformation and new network interpersonal relationship. It is mainly manifested in several forms, such as modal particles, exclamation mark, and emoticons, which reflect people’s discourse carnival under social needs and network memes under digital living situations. In this paper, I explore the expression of ingratiating discourse in social activities. The paper mainly reveals the cases and reasons of ingratiating discourse, the differences between different genders in the use of ingratiating discourse.

Strengthening public participation in grassroots social safety governance is an important means to improve the social governance system and enhance the capability of social governance. To further optimize the path of public participation in grassroots social safety governance, this paper takes the current situation of public participation in Hangzhou’s “Million Volunteers Police” as a starting point, identifies the restrictive issues such as the incomplete main body factors, insufficient cultural factors, imperfect system factors, inappropriate resource allocation factors, and not in-depth strategic factors, and puts forward countermeasures and suggestions for training governance subjects, constructing governance systems, and deeply cultivating governance culture, in order to improve the efficiency of public participation in grassroots social safety governance.

Late payment fee is a certain percentage of late payment tax charged according to the number of days of late payment for taxpayers who do not pay tax according to the tax deadline. The provisions of the Tax Administration Law on the tax late payment system are slightly superficial, resulting in tax cases in which there is confusion in the enforcement of tax authorities and differences in the judiciary’s decisions. With the implementation of the new Administrative Compulsory Law, the nature of late payment and the upper limit of tax collection have been hotly debated. Based on the author’s own tax work experience and legal knowledge, this paper aims to clarify the legal basis for the collection of late payment fee and the upper limit of collection, in order to facilitate the grassroots tax enforcement.

The concept of involution has been widely used in the analysis of complex issues in Chinese society in the last two years, but the concept implied by this term has been far from its original meaning, and even in different fields the meaning of the concept is slightly different. This paper analyzes how the concept of involution has changed in different application scenarios since its introduction into economics discussions, highlighting the key connotation of “development without growth” in the concept of involution and how it has changed in terms of expression and causation.

With the continuous development and progress of Internet technology and economy, the economic and cultural exchanges between countries in the world are becoming closer and closer. Cross-border electronic commerce as an emerging industry is gradually developing, and translation plays a crucial role in this field. In the Internet era, more new forms of economy appear in people’s lives. As a new marketing model, live commerce can enable consumers to see commodities in front of the mobile phone screen, which greatly promotes the development of e-commerce economy. In this context, this paper collects relevant material, summarizes the basic characteristics of live commerce discourse, and analyzes the English translation skills combined with domestic applied translation theories. It can provide a reference for translators and scholars.

In this paper, the functional design of intelligent cleaning robot is studied in depth. Ankai micro development board is used as the core, and advanced technologies such as machine vision and laser radar are integrated to realize accurate garbage identification and classification. Through the lightweight YOLOv5s neural network, the rapid detection of objects is realized, and the mechanical arm is used to perform garbage picking. The random coverage method is used for path planning to ensure comprehensive cleaning, and the improved Bug2 algorithm improves the efficiency of obstacle avoidance. The system design aims to improve the cleaning efficiency, reduce the cost and promote environmental protection, which indicates the wide application prospect of intelligent cleaning robot in the future.

In the report of the 19th National Congress of the Communist Party of China (CPC) , the strategy of rural revitalization was clearly put forward, and it was clearly stated that the problem of agricultural and rural peasants was the fundamental problem of the national economy and People’s livelihood, we must always take solving the“Three rural issues”as the top priority of the whole party’s work. Therefore, the implementation of rural revitalization strategy is the inevitable trend of historical development, but also the inevitable solution to the new era of our social contradictions. [1] in order to promote the high-quality development of agricultural and rural areas, it is necessary to carry out the rural revitalization strategy. This paper takes the X community , Henan province as an example, focus on the rural revitalization strategy under the promotion of rural governance level, the impact of high-quality rural development.