Mathematics education is a comprehensive scientific system that holds significant importance in studying the seamless integration between university mathematics education and secondary mathematics education. This research paper delves into the challenges encountered during the transition from high school to university mathematics and offers analytical strategies and recommendations for both teachers and students. The objective is to enhance the continuity and coherence of mathematics education. Furthermore, tailored recommendations are provided to bridge the gap between high school and university mathematics education, taking into consideration the unique characteristics of students from different provinces and cities.

The Western capitalist system is an important part of the economy and society of the contemporary world, and it has played a huge role in the past few centuries. Nonetheless, with the continuous development of globalization, technological revolution and social change, the Western capitalist system is also facing a series of difficulties and new changes. This paper aims to explore the dilemma facing the Western capitalist system today, and to analyze and discuss the new changes.

Life experience and moral practice are the most important ways of moral learning and moral implementation. In the teaching of lower grade morality and rule of law courses, the students are connected with the reality of life, and the teaching content is carefully designed, starting from the students' life experience and learning interests, to explore and provide time and space for students to explore and experience independently, and to guide students through exploration and learning. Interaction, experience and perception, to obtain their own emotional experience. At the same time, it deepens students' intimacy to the learning content, inspires students' curiosity, and exerts students' subjective initiative, so as to determine students' dominant position in the classroom.

In order to effectively reduce the workload of primary and secondary school students and the burden of off-campus training, and promote the effective improvement of the teaching and education level of schools at all levels and types, the General Office of the Central Committee of the Communist Party of Opinions on Students' Homework Burden and Off-campus Training Burden" (referred to as "double reduction"). Students' homework practice is a supplement and continuation of classroom teaching, which can consolidate and promote the quality of students' learning. This paper analyzes some problems in the design of primary school Chinese homework from three aspects, such as homework volume, homework type, and homework arrangement, and puts forward corresponding strategies for the optimization path of primary school Chinese homework design under the background of "double reduction".

With the gradual acceleration of China's adaptation to the global environment, the country's demand for English talents is growing. In recent years, with the continuous innovation of the education system, English education in higher vocational colleges is also undergoing optimization and innovation. Language and literature are closely related. English language and literature education in higher vocational colleges aims to cultivate high-quality talents who can flexibly use English language and literature for communication. It can be seen that teachers in higher vocational colleges need to focus on cultivating students' application ability of English language and literature in the teaching process. By analyzing the current situation of English language and literature teaching in higher vocational colleges, this paper expounds its significance and puts forward corresponding countermeasures, hoping to promote the development and progress of English language and literature education in higher vocational colleges.

Since my country entered the era of Internet economy, the scale of the software industry is gradually expanding, and programming language, as an important tool and idea for software development, is a necessary skill for every development practitioner. Among them, C language, as the basic language of computer software programming, is also an important basic course for cultivating students’ computer application ability in science and engineering majors in colleges and universities. This paper mainly studies the teaching reform of C language programming courses and proposes corresponding optimization measures, so as to lay a solid foundation for the continuous improvement of students’ learning quality of C language courses and the continuous strengthening of programming ability.

The number of domestic studies on "variational pragmatics" (Ren Yuxin, Chen Xinren, 2012) is very limited. The research scopes are also relatively limited, which has not yet attracted the attention of more researchers. Therefore, based on this book The Routledge Handbook of Second Language Acquisition and Pragmatics, this paper aims to sort out and summarize the development trend of pragmatics from the meaning, goal and theory of variational pragmatics, and then put forward suggestions for future research.

China's famous educator Mr. Tao Xingzhi once said that "education is the first, observation first", only scientific and effective observation can change the teachers' narrow understanding of kindergarten curriculum. From the observation record to the derived "Little Secrets in the Toilet" garden-based course, the original is just an ordinary life segment, become warm, have curriculum awareness. With an observational perspective, the teachers capture the interests and needs of the children in their lives, understand their experience levels, and provide valuable learning growth points. At the same time, in the activity, teachers reflect on their own educational content, organization mode and environment creation, and make dynamic adjustment and transformation, which promotes the development of children and improves teachers' leadership in the curriculum.