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.

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.

With the rapid development of internet technology, online education has become an important trend in the education industry. Especially under the influence of the global COVID-19 epidemic, online teaching has been widely applied and promoted. However, there are also some problems with online teaching, such as a lack of realism and low student engagement. Therefore, exploring the integration of online and offline teaching models has become a hot research topic in the field of education. This article will analyze the reform strategy of integrating online and offline teaching in university mathematics courses, aiming to explore how to improve the teaching effectiveness of university mathematics courses and promote students' learning interest and ability through the integration of online and offline teaching.

As an important component of socialist culture with Chinese characteristics, excellent traditional culture is not only the "cradle" of cultural origin, but also the foundation of advanced socialist culture and ideological and political guidance for students. It is an indispensable part of socialist education. With the advent of the Internet era, it not only poses challenges to the ideological and political education of college students, but also provides opportunities for development. In the new era, by means of new ideas and new methods, integrating fine traditional culture into the course of "Chinese Traditional Flower Arrangement Art" can not only promote the effectiveness and attractiveness of the Chinese traditional flower arrangement art course, but also promote the students' ideological level and recognition of excellent traditional culture, and help students improve their cultural awareness and national self-confidence. Based on this, this article explores the strategy research of integrating cultural confidence into the course of "Traditional Chinese Flower Arrangement Art".

With the continuous development of globalization, communication among countries around the world is increasingly frequent, and multicultural integration has become the mainstream of the development of the current era. Language, as the carrier of multicultural integration, is an important tool to promote international communication and integration, especially English, as an international language with the largest number of users and the widest range, has extensive practicability and communication. With the continuous deepening of China's reform and opening up, communication with foreign countries has become increasingly close. English has become a basic language skill that college students must master proficiently. The transformation of English education is an inevitable trend that conforms to the development of the times. However, in the current process of English teaching in universities, there are outdated educational ideas and methods, and English teaching and cross-cultural awareness cultivation have not been effectively combined, Causing a lack of interest in English among college students, the inability to truly apply learning outcomes to practical situations, and the loss of its true significance in English teaching. This article analyzes the important impact of the current multicultural integration environment on college English teaching, as well as the problems existing in contemporary college English teaching practice, and proposes targeted transformation paths for college English education in the context of multicultural integration.

The theoretical framework of Production Oriented Approach (POA) proposed by Professor Wen Qiufang has undergone a series of development and improvement, forming a "drive facilitate evaluate" teaching framework system that is guided by output tasks, supported by facilitation activities, led by teachers, and jointly constructed by teachers and students. The "facilitation" link is the core of helping learners achieve goals and achieve output tasks. Based on the ideas and requirements of this theory, the author has designed a series of "facilitation" activities to be applied in advanced English reading classrooms. This article intends to review and reflect on these teaching practice activities, in order to gain a deeper understanding of POA theory.