The development of China's education industry is closely linked to the progress of the country's society. With rapid economic development and continuous improvement of the political system, education has received attention from all sectors of society. Education has existed since the emergence of human society and has always been closely intertwined with human development. Humans are the primary subject of education. For educators engaged in the field of education, educational psychology is a well-known discipline and an important theoretical foundation for conducting educational activities and teaching in the future. The physical and mental development of contemporary children and adolescents has undergone significant changes compared to the past. For schools, it is of great significance for educators to effectively apply the relevant knowledge of educational psychology in communication and teaching with students to enhance teaching effectiveness and promote individual physical and mental development. This article discusses and studies how to apply educational psychology in teaching activities.

The PBL teaching method emphasizes using specific problems as a guide in practical application, guiding students to achieve better teaching implementation results in practice. The integration of cross-border e-commerce and English teaching is a practical English course content in the teaching of English majors. In the current stage of English course teaching, it is an important method that is innovative and targeted to improve students' English course learning effectiveness. In the specific application process, the application of PBL teaching method requires teachers to provide important support for improving the teaching effectiveness of cross-border e-commerce English courses under the PBL model by building educational and teaching training bases, actively providing sufficient practical education guidance platforms, and emphasizing the innovation and richness of teaching evaluation links.

The profound impact of China's concept of healthy development on various fields of society has influenced the mode of university education, and has gradually undergone changes in actual teaching modes, ways of thinking, and technologies. As one of the important educational courses in universities and sports departments, the reasonable introduction and implementation of functional training models in practical guidance can deepen students' learning of basic dance and skills, and further improve the performance of the dance stage. As a mentor, teachers should play the role of functional guidance essentials based on students' differentiated training abilities, optimize educational content from students' physical function training, and make adjustments. The professional functional training method is adopted to establish the practical application and promotion of functional training in university physical education.

This study aims to explore the design and application of a learning achievement evaluation model, in order to improve the quality of teaching in the field of education and promote student development. This article starts with the importance of constructing a learning effectiveness evaluation model, and then clarifies the basic concepts and related theories of learning effectiveness evaluation, providing theoretical support for subsequent model design. In the model design section of learning effectiveness evaluation, propose the model design principles, indicator selection, and construction process to ensure the accuracy and comparability of the evaluation model construction. In the application and evaluation section of the learning effectiveness evaluation model, the application and evaluation methods of the main models in practical teaching were explored. Finally, the issues that need to be noted in the design process of the evaluation model were proposed in order to design a more high-quality evaluation system and promote the improvement of education quality.

While the rapid development of artificial intelligence has affected people's daily lives, it has also brought huge challenges to high school mathematics teaching, such as restructuring the classroom teaching structure, transforming the role of teachers, and selecting classroom teaching methods. Based on this, the article explores the application strategies of AI technology in improving knowledge introduction, improving mathematics classroom efficiency and stimulating students' learning interest, with a view to optimizing classroom teaching links, improving students' core discipline quality, and promoting the development of high school mathematics teaching informatization.

In the era of rapid information technology development, artificial intelligence (AI) and virtual reality (VR) technologies have gradually infiltrated the field of university English teaching, brought significant applications and impacted to English language learning in listening, speaking, writing, translation, and personalized learning. AI plays a vital role as an auxiliary teaching method in university English instruction, and the integration of VR technology further enhances teaching efficiency. This research will propose relevant recommendations to provide theoretical references for university English education in the age of AI, while also offering insights and guidance to educators in the education industry during the informatization reform of education.