In this study, we consider the extended Brinkman's-Darcy model for a triple diffusive convection system which consists of some parameters such as Taylor number (Ta), Solutal Rayleigh numbers (RC1 , RC2 ), and Prandtl number (Pr). To investigate the range of these parameters, a dynamical system of the Ginzburg-Landau equation is developed. The parametric analysis and comparative study of the model for the three Rayleigh numbers which leads to the clear fluid layer, sparsely packed porous layer, and densely packed porous layer is done with the help of bifurcation maps and the Lyapunov exponents. It is found that for a certain range of parameters, the system exhibits a chaotic behaviour.

In recent years, with the wide application of English picture books as children's English enlightenment reading material, it has become an effective auxiliary teaching material for primary students to learn a second foreign language. This paper mainly introduces the concept and characteristics of English picture books so that readers can clearly understand the research object. Secondly, it gives an explanation of the current situation of the application of English picture books in reading education in our country, and demonstrates the importance of English picture books in the field of education. Finally, based on the reading teaching model of PWP and combined with relevant theories of education, specific strategies are proposed for teaching English picture books. I hope this paper will be helpful to the teaching of picture books.

This research focuses on the construction of the competency of “Double-qualified” teachers in higher vocational colleges. Through comprehensive literature analysis, in-depth interviews and questionnaire surveys, a competency model covering three dimensions, namely personality charm, teaching literacy and practical skills, has been successfully established. This model provides a scientific basis for higher vocational colleges in teacher selection, performance evaluation and professional training, and particularly emphasizes the importance of teachers’ cultivation of students’ practical abilities and professional qualities in the context of vocational education. The research reveals that these three competency dimensions are interdependent and jointly influence teachers’ educational and teaching achievements as well as students’ career development.

This study investigates the impact of the metaverse on English language teaching, focusing on the perspectives of students from the University of Boyacá. The use of the metaverse was compared with the Moodle platform in a virtual educational environment. A mixed-method approach combining quantitative and qualitative methods was employed. The sample consisted of 30 university students enrolled in English courses, randomly assigned to two groups: one using the metaverse and the other using Moodle. Students’ grades on different activities and assessments throughout the course were collected, and semi-structured interviews were conducted to explore students’ perceptions of the educational platforms. Results revealed that while students recognize the potential of the metaverse to enhance interactivity and learning experience, they also identified technical and accessibility challenges. Although no significant differences in grades were found between the groups, less variability in grades was observed in the metaverse group. The mixed design allowed for a more comprehensive understanding of the impact of the metaverse on English language teaching, while providing a variety of student perspectives on their experience with educational technology. This research contributes to understanding the role of the metaverse in English language teaching and highlights key areas for future research and developments in the field of virtual education.

With the continuous development of education, the double reduction policy has gradually become the focus of educators. Especially for junior high school mathematics classrooms, there is an indelible connection between whether students can learn mathematics well and whether classroom teaching is effective, and the effectiveness of the classroom is often related to factors such as students' stress level. Therefore, as a qualified junior high school mathematics teacher, it is necessary to carefully do pre class work in daily teaching and research practice, design different forms of teaching and research plans under the double reduction policy, establish a unique learning atmosphere for students, and improve their core mathematical qualities. This article proposes corresponding solutions and strategies on how to carry out mathematics classroom teaching under the double reduction policy.

Both China and Korea have a rich culture of Chinese New Year, and there are similarities and differences between the customs of the two countries. The festival culture, as the essence of a country's culture, not only reflects the cultural connotation of the whole nation , but also reflects people's living standard to a certain extent. This paper discusses the similarities and differences of Chinese and Korean Spring Festival culture through a comparative analysis of Chinese and Korean Spring Festival culture, and proposes strategies for teaching Chinese Spring Festival culture in Chinese to Korean in order to help people better understand and pass on Chinese and Korean Spring Festival culture.