In the context of education informatization construction, the heavy responsibility of promoting the integration of new technologies into the classroom falls on the shoulders of educators. With the increasing maturity of virtual technology, a new classroom form gradually comes into our view. In this study, we use "Physics Lab" to carry out inquiry-based teaching, provide a virtual experiment platform, help students to construct knowledge through inquiry, and provide theoretical and practical references for teachers.

This study investigates pedagogical content knowledge (PCK) among teachers teaching mathematics at the preschool level in Colombia, highlighting the importance of integrating mathematical knowledge with innovative and effective pedagogical strategies. Using a mixed exploratory and transactional methodology, the perceptions and practices of 82 teachers were examined, focusing on their understanding of mathematical content, pedagogical skills, and knowledge of children’s cognitive development. The findings reveal a significant gap in teachers’ understanding of these concepts, indicating a critical need to strengthen PCK among teachers. To this end, training should be provided to enable teachers to foster meaningful and contextualized mathematical learning in preschool students. The study suggests reviewing teacher training curricula and fostering the development of pedagogical strategies that prioritize conceptual understanding and mathematical reasoning. Additionally, it identifies critical areas for improvement and offers concrete recommendations for transforming mathematics teaching in preschool education. To enhance the quality of mathematics education, several measures are proposed: ensuring continued availability of training programs for teachers, encouraging collaboration between educators, adopting constructivist approaches, and helping teachers understand the value of mathematics learning outside the school.

Under the background of new curriculum reform, the purpose of secondary education and cultivation has been changed to cultivate students' comprehensive and professional abilities. Applying lifelike teaching to the English classroom of secondary education arts and sports students is an effective means to stimulate students' learning interests and improve their English proficiency. Based on the analysis of the current situation of English teaching for arts and physical education students in secondary education, the article puts forward several strategies of English lifelike teaching in order to better improve the English quality of students in secondary institutions and promote the development of English education in secondary institutions.

Corporate finance courses are increasingly adopting data-driven teaching methods. Modern corporate finance courses are focusing more on students' career development. Through simulation practice and career planning guidance, students are better prepared to face challenges in the workplace after graduation. Students need to learn how to utilize data analysis tools and techniques to extract useful information from large datasets and make more accurate decisions. Data-driven teaching is a significant innovation in current curriculum reforms. In recent years, with the development of technology and the emergence of financial innovation, corporate finance courses have been undergoing continuous changes and innovations. These courses have started to emphasize emerging areas such as digital finance, blockchain technology, and sustainable development. Taking the example of corporate finance, this paper integrates the demands of skill development in the era of digital finance, focusing on aspects like teaching methods, reform methodologies, practical experiments, feedback mechanisms, and data analysis.