The Lancaster mutual teaching model originated in late 18th century England and quickly spread to the American colonies after receiving positive responses in Europe. In the 1820s, renowned Spanish physician, educator, and publisher Manuel Codorniú Ferreras brought it to Mexico, making outstanding contributions to the newly independent nation in educational philosophy, system, and methods. In the mid-19th century, with the absence of a centralized institution for public education in Mexico, the Lancaster Company took on the significant responsibility of guiding the direction of national public education development. Although this function did not persist for too long due to political changes in Mexico, the educational system continued to play an important role in the Mexican education sector. The Lancaster Company and its teaching system exerted a positive and profound influence on the democratization and secularization of education in Mexico, laying important foundations for the modernization and reform of Mexican education.

Taking Xinjiang Agricultural University as an example, based on Rain Classroom and Dingding platform, the linear algebra course changes the current situation of "emphasizing theory and ignoring application" in traditional mathematics classrooms, adding applied teaching cases with the background of industry and agriculture, using online and offline The blended teaching mode, through inquiry-based and case-based teaching methods and students' autonomous learning and discussion methods, develops from a teaching mode focusing on "teaching" to focusing on "learning". The teaching mode has been comprehensively reformed, and satisfactory results have been achieved.

In the context of big data, the teaching of financial accounting for vocational undergraduate students needs to be continuously optimized and innovated. This article provides a brief analysis of the current situation of financial accounting teaching for vocational undergraduate students. It also analyzes the phenomena of outdated teaching concepts, outdated teaching content, and unreasonable teaching objectives in the current teaching of financial accounting for vocational undergraduate students. It proposes the idea of innovating teaching concepts in current teaching work, clarifying teaching objectives, integrating flipped classroom reform teaching mode, and introducing project-based teaching method to improve teaching efficiency, so as to achieve more efficient teaching guidance for students.

With the continuous deepening of education and teaching reform and the rapid development of information technology, more and more educators have paid attention to the effectiveness of computer teaching in universities, and university teachers have included it in the key topics of educational and teaching activity design. The cooperative teaching model stands out among numerous teaching models with its unique advantages, and has been applied by many teachers in the classroom teaching process, playing an important role in promoting the improvement of teaching efficiency. Teachers of computer science in universities should continue to explore effective teaching methods, accelerate the process of organic integration of cooperative teaching models and classroom teaching content, in order to deepen the understanding and cognition of computer knowledge among more students and promote their comprehensive development. This article will study the application strategies of cooperative teaching mode in computer teaching in universities.

Vocational colleges should not only cultivate highly skilled talents, but also improve the comprehensive quality of students. The cultivation of students' comprehensive qualities cannot be separated from the efforts of schools, counselors, and every course teacher. Vocational education is different from undergraduate education, and finding a teaching model suitable for students in vocational colleges is particularly important. The integrated teaching model proposed in this article integrates theory and practice, and the entire teaching process is integrated into curriculum ideological and political education. In order to ensure teaching effectiveness, teachers participate and supervise the entire process, aiming to cultivate students' ability to unite and assist, solve problems, and express language skills, self-learning abilities, etc., so that students can truly become a comprehensive and high-quality talent.

The emergence of modern new technology, 3D printing technology, has attracted the attention of various sectors of society and gradually has a widespread impact on the education industry. In the current teaching of "mechanical design", on the basis of understanding 3D printing technology, university teachers urgently need to think about how to reasonably introduce this technology to innovate the teaching mode of "mechanical design". In this regard, this article analyzes the current situation of the "Mechanical Design" major through the initial introduction of 3D printing, elaborates on the advantages of applying 3D printing technology in the "Mechanical Design" teaching mode, and puts forward application suggestions. It is hoped that this can promote the exploration of the educational philosophy of 3D printing in the "Mechanical Design" teaching mode.