English writing is an important output skill cultivated in college English courses. And in the age of informationization, college English writing teaching relies on the support of information technology. In order to cope with the solution of this dilemma, Production-Oriented Approach(POA) proposes Teacher-Student Collaborative Assessment (TSCA), which creates a new form of assessment. Through TSCA, teachers can not only alleviate the heavy teaching load, but also fully tap the network resources to efficiently use students' time before, during and after class to maximize and optimize the teaching effect. In this paper, the teaching concept of TSCA is used to conduct writing teaching experiments, to study and analyze the writing ability of students who write effectively, so as to provide insights for the practice of English writing teaching.

China’s rapid development in modern times has become an important country in the world. Therefore, the cultures of various countries continue to cross and integrate in China. Language is the carrier of culture. Under the function of language, international culture is constantly spread and exchanged. As an important part of basic education, language education, especially college English education, significantly contains multiple international cultures. From the perspective of multiculturalism, the development status of college English teaching reflects the importance of multicultural infiltration. The following explores college English teaching strategies from the perspective of multiculturalism from three aspects: establishing “double qualified” teachers, paying attention to mother tongue and cultural differences, establishing diversified teaching concepts and establishing teaching culture evaluation system.

This study developed a specific scale to measure the impact of extrinsic motivations on students’ decisions to pursue online graduate programs at business schools in Latin America. Using a mixed-methods approach, the research proceeded in three stages. In the first stage, the construct was defined by identifying key extrinsic factors motivating students to enroll in online graduate programs, followed by the creation and initial validation of the scale in Colombia. The second stage involved testing the scale in Chile to determine its cross-cultural applicability. In the third stage, the scale’s predictive validity was confirmed, demonstrating its effectiveness in explaining how extrinsic motivations influence students’ intentions to enroll in online graduate programs. The findings indicate that the scale, composed of five dimensions—Cost Reduction, Ability to Study from Any Location, Control Over Learning Pace, Flexibility to Balance Study and Work, and Avoiding Commuting Time—is a reliable predictor of student preferences and intentions in online graduate education. The final scale includes 25 items across these dimensions, measuring extrinsic factors through items related to flexibility, time savings, and global accessibility. Validation in two Latin American countries confirms the scale’s relevance across diverse cultural contexts, enhancing its applicability within the region. This study provides empirical evidence that extrinsic motivation is a key determinant of students’ intentions to enroll in online programs in developing countries. It confirms that extrinsic motivations reflect a preference for flexible learning options compatible with students’ lifestyles and professional needs, linked to their beliefs about time management, professional advancement, and career opportunities associated with earning a graduate degree.

In the process of teaching and learning at any stage, the important role of interest guidance cannot be ignored. Especially in college mathematics teaching, mathematical knowledge is very complex and abstract, and most students are unable to effectively understand and master it during the learning process. So it is even more important to fully stimulate students' interest in learning. This article analyzes the significance and current situation of stimulating students' learning interest in university mathematics teaching, and conducts effective strategy analysis. In order to effectively awaken students' desire for knowledge, guide students to change from passive learning to active learning, so that students can continue to grow and progress in this process.

Objective: To explore the influencing factors of mental health and the mediating role of self-compassion between family cohesion and mental health. Method: Family Cohesion Scale, Symptom Checklist, and Self-compassion Scale were used to investigate 593 college students in Zhejiang Province. Result: Family Cohesion was negatively correlated with mental health and positively correlated with Self-compass- ion among college students; Self-compassion was negatively correlated with mental health. Self-compassion fully mediates the relationship between the two. Conclusion: The path of family cohesion is indirect, and strengthening Self-compassion education can improve the mental health level of college students.