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.

With the development of globalization and diversification, more and more people attach importance to English, and a great number of primary schools in China begin to attach importance to English teaching. As an international mainstream English teaching method, phonics has gradually been used in primary school education in China. Phonics guides students to match letters or letter combinations in the words with sounds, and read or spell words through these pronunciation rules, so that students can learn the vocabulary in a relaxed and pleasant way. It will also reduce obstacles to reading and writing words, and improve students’ learning efficiency. However, there are still some problems in primary school English teaching in China, such as lack of systematic teaching, neglect of phonetic symbol learning and neglect of word meaning, which need to be further improved so that phonics can better assist primary school English teaching.

The learning of English courses is not only a process for students to master language knowledge and skills, but also a process for improving students' comprehensive humanistic quality. The integration of moral education in English teaching can not only cultivate students' good study habits, improve the efficiency of English learning, but also help to cultivate students' excellent moral quality. Through the research on the organic integration strategy of primary school English teaching and moral education, this paper aims to provide an effective method for the effective integration of primary school English teaching and moral education, so as to promote the improvement of the level of primary school moral education and achieve the goal of building morality and cultivating people.

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.

This scholarly article aims at analyze the obstacles encountered by teachers who specialize in the transition from early childhood education to primary education, as well as the possible areas for their growth and progress. Through the utilization of a combination of qualitative and quantitative research methods, along with detailed case studies, we have identified a number of major challenges faced by these teachers. These challenges primarily center around psychological stress, disparities in educational philosophies, and the task of bridging the gap between home and kindergarten education. To promote the professional development of teachers specializing in this transition in the future, it is crucial to prioritize their mental well-being, implement policy reforms, and emphasize the importance of comprehensive qualities and innovative pedagogical approaches.

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.