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".

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.

Homework is an indispensable basic link in classroom teaching, an important link in the consolidation of knowledge after class, and an important way for students to understand knowledge, digest knowledge, and improve their problem-solving ability. In the practice of mathematics teaching in primary schools, attention should be paid to the effectiveness of homework assignments in different links before, during and after class, and the content of homework should take into account the reality of students at different levels. This paper expounds the strategy of hierarchical design of mathematics homework from the aspects of the hierarchical design and arrangement of mathematics homework in the upper grades of primary school, aiming to effectively improve the quality of mathematics classroom teaching in the upper grades of primary school.

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.

"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.

Nowadays, international exchanges are becoming more and more frequent in the world. As a global language, English can establish a communication bridge between different countries and nationalities, and its importance is obvious. Since 2001, China has gradually added English education to the curriculum plan of primary schools in various regions. Later, with the deepening of the industry’s understanding of English teaching, the education reform has also followed up. It can be said that the level of educators and educates is rising spirally. However, there are still many restrictive factors in the current situation of primary school students’ learning English, among which the more prominent factors are the strength of English teachers and the evaluation mechanism for students’ learning achievements.