Innovation in teaching models is a basic requirement of the Ministry of Education for schools. If a school wants to achieve development, it cannot adhere to traditional rigid teaching models. At the same time, innovating teaching models is also an important requirement for improving education and teaching effectiveness. Through innovation in teaching models, the inherent drawbacks of the current teaching model can be removed and the classroom teaching effect can be better played. The rapidly developing internet era provides unprecedented development opportunities for innovative teaching models. Schools should establish internet learning platforms to encourage students to actively and independently participate in online learning. This paper discusses the classroom teaching model in vocational colleges under the background of "Internet plus", and how it serves our daily teaching activities.

Emotional education plays an important role in the field of education and is of great significance to students' mental health and all-round development. As a discipline focusing on emotional expression and creativity cultivation, art education provides a unique opportunity to penetrate emotional education. By analyzing the penetration of emotion education in junior middle school art teaching, this paper discusses the role and implementation strategies of emotional education in art teaching, aiming to provide valuable reference for educators.

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.

The six core competencies of mathematics in vocational schools are becoming increasingly important in mathematics learning. The reverse teaching design of vocational school mathematics, which focuses on core competencies, precisely grasps the internal logic of knowledge from a holistic perspective, and designs it on a unit by unit basis. The design process is to infer the starting point from the endpoint. Therefore, how to use reverse thinking in teaching design research in vocational school mathematics teaching under the background of core competencies will be the main content of this article.

In the process of vocal music teaching, the level of a singer's aesthetic ability often determines their long-term development. Therefore, in the process of conducting vocal music teaching, it is necessary to pay more attention to the cultivation of students' musical aesthetic ability, improve students' understanding and mastery of music art from the ideological level, and achieve better teaching effects. This article will conduct research on the importance of cultivating aesthetic ability in vocal music teaching, and explore strategies from aspects such as absorbing life content and introducing musical instruments into teaching models. It is hoped to provide some help for related teaching work.