The epidemic has had a great impact on people and improved students' awareness of paying attention to their own health. Through the investigation of higher vocational students, the author and the research team collected 4741 questionnaires for research and analysis, and analyzed the data in four aspects: the impact of the epidemic on sports concept and psychology, the impact of intelligent equipment on physical exercise, the purpose of sports activities and the selection of online teaching content, and the impact of gender differences. This paper puts forward some suggestions on the development of online teaching of physical education courses in higher vocational colleges.

"Where is the fog" is a reading text in the seventh unit of the second grade of primary school Chinese in the unified edition. The humanistic theme of this unit is "the beauty of imagination", and the language element is to develop imagination and obtain a preliminary emotional experience. "Where is the Fog" is an interesting fairy tale. The language of the text is lively and full of childlike innocence, which fits the age characteristics of children in lower grades. According to the characteristics of the text and the characteristics of the students, in the teaching, through the creation of life situations, combined with the students' actuality, and the way of writing paragraphs, the students are guided to read the naughty "fog", taste the charm of the language, and lead the students to enter the colorful imaginary world.

Ecological beauty not only means the beauty of nature, but also refers to the balance between living things on earth. Ecological aesthetic education takes the holistic ecological view as the philosophical basis, advocating appreciating nature and caring about life with an aesthetic attitude, realizing the coexistence of man and nature, and promoting the harmonious development of man and society. In view of this, the current school ecological aesthetic education should deepen the integration of large and small ecological aesthetic education discipline system construction, improve the comprehensive quality of ecological aesthetic education teachers, combine social aesthetic education to enrich ecological aesthetic education extracurricular practice, and train new people for the construction of Chinese modern ecological civilization.

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.

Primary school students are in a period of rapid development of thinking. Primary school mathematics is particularly important for the cultivation of students' abstract thinking ability. The section of number and algebra is the most basic and important content in mathematics. This paper takes number and algebra as an example to analyze the abstract thinking ability of primary school mathematics and its training strategies, so as to provide some practical guidance for teaching.

The public health emergency has changed the environment and conditions of art teaching. Based on the abnormal teaching background, we can use this as an opportunity to explore new teaching forms. Relying on the unique functions of the network platform, the Art Cloud Classroom explores a new style of home-based art learning that is vivid, autonomous and interactive, develops students' art skills, develops positive interests and emotions, and makes every life a better place in the nourishment of art.

With the popularization of the Internet and the rapid development of computer network technology, human beings have entered a brand new era - the information age. This kind of network technology beyond space not only brings well-being to people, but also subtly affects the ideas and behaviors of teenagers. It not only changes their lifestyle and values, but also quietly makes them mentally ill, resulting in an endless series of problems of juvenile cybercrimes. For the purpose of promoting the governance of Internet crimes among young people effectively and avoiding crimes among special groups of young people, this paper plans to base on the concept of Internet crimes of teenagers, summarize the characteristics of youth crimes in our country, analyze its influence factors and propose the measures to deal with it.

It is well known that determining the exact values of crossing number for circulant graphs is very difficult. Even so, some important results in this field are still proved. D.J. Ma was proved that the crossing number of C(2m + 2, m) is m + 1[8]. Then such problem for C(n, 3) was further solved [7]. Pak Tung Ho and X. Lin obtained accurate values for the crossover numbers of C (3m, m) and C (3m + 1, m)[4][5]. In this paper, as a complement, we show that the edges from the principal cycle of C(9, 3) do not cross each other in an optimal drawing.