With the rapid development of the times, modern educational technology and traditional teaching mode have produced a more effective online + offline hybrid teaching mode in teachers' exploration and innovation. Through this hybrid mode of college English teaching, to a large extent, it can expand the actual classroom, and also enable students to fully carry out English learning outside the classroom, which has a very significant positive effect on college Students' English learning and the construction of college classroom.

Ideological and political education is not only a basic course to cultivate students’ moral quality, but also an important part of modern education outline. The current intelligent electronic technology course should strengthen the gradual integration of curriculum and ideological education. Under the background of the new era, the state pays more attention to education, aiming to integrate the concept of ideological and political education into the classroom to effectively improve the effectiveness of comprehensive education for students. The course of intelligent electronic technology should integrate ideological and political education resources and innovate educational means from teachers to classrooms. This paper analyzes the principle of Integrating ideological and political education into intelligent electronic technology curriculum, and hopes to put forward constructive suggestions on the research and innovation path.

With the faster pace of China’s opening to the outside world, the contacts between Chinese enterprises and Portuguese speaking countries are becoming more and more frequent. Under this trend, how to further improve the quality of Portuguese classroom teaching is related to the development of students, enterprises and the long-term development of the whole country. This paper mainly focuses on the two aspects of “the main problems existing in Portuguese classroom teaching” and “the improvement countermeasures of Portuguese classroom teaching”. Combined with the current situation of Portuguese teaching, this paper puts forward targeted reform measures, in order to further optimize the Portuguese teaching system, with “student development”, “enterprise development” and take “national development” as the ultimate goal to cultivate a large number of high-quality Portuguese talents to the society.

Curriculum ideological and political education is the concretization of cultivating morality and cultivating people. Integrating curriculum ideological and political education into college English teaching is an inevitable trend, and it is of great significance in helping college students establish correct ideological concepts and improve their personality. However, due to the current lack of awareness among college students about the integration of ideological and political education into college English teaching, it is necessary for teachers to fully explore the ideological and political elements in college English, continuously optimize English teaching models, and promote the comprehensive development of college students. Based on this, this article conducts research and analysis on college students' awareness of integrating ideological and political education into college English teaching, in order to provide valuable reference opinions for educators and cultivate more and more outstanding talents for society.

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.

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.