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.

In the process of English learning, primary school English is an important period of enlightenment. However, teachers’ old-fashioned teaching methods and obscure teaching contents make primary school students less interested in learning English, which will affect students’ entire English learning career. Under this educational background, the education department should analyze the existing problems in English teaching methods, teaching contents and teaching concepts based on the current situation of English teaching in primary schools, aiming to improve the interest of English teaching in primary schools through effective strategies.

The flipped classroom (FC) model has long brought significant benefits to higher education, secondary, and elementary education, particularly in improving the quality and effectiveness of learning. However, the implementation of FC model to support elementary students in developing self-learning skills (autonomous learning, independent study, self-directed learning) through technology still faces numerous challenges in Vietnam due to various influencing factors. Data for the study were collected through direct questionnaires and online surveys from 517 teachers at elementary schools in Da Nang, Vietnam. Based on SEM analysis, the study identified factors such as perceived usefulness, accessibility, desire, teaching style, and facilitating conditions. The research findings indicate that factors like the perceived effectiveness of the model, teaching style, and facilitating conditions have a positive correlation with the decision to adopt the FC model. Therefore, to encourage the use of the FC model in teaching, it is essential to raise awareness of the model’s effectiveness, improve teaching styles, and create favorable conditions for implementation.

University majors are the core sub majors of education majors, and the OBE concept is a modern educational concept based on learning outcomes. Apply the OBE concept to undergraduate courses to cultivate students' professional practical abilities and scientific research innovation qualities. This article is based on the educational concept of OBE and attempts to examine and reform university curriculum teaching, mainly starting from four aspects: curriculum content, teaching methods, curriculum assessment and evaluation methods, and teacher quality.

The public health emergency has changed the environment and conditions of art teaching. Based on the abnormal teaching background, we can use this as an opportunity to explore new teaching forms. Relying on the unique functions of the network platform, the Art Cloud Classroom explores a new style of home-based art learning that is vivid, autonomous and interactive, develops students' art skills, develops positive interests and emotions, and makes every life a better place in the nourishment of art.

Cultivating the thinking quality of high school students is one of the core tasks of high school English curriculum reform. This paper expounds the relationship between the cultivation of thinking quality and reading teaching, combined with the practice of online teaching, taking the Welcome to the unit & reading part of Unit 3 Back to the past in the module 3 of the Jiangsu Education Edition as an example, to discuss how to cultivate English reading in senior high school. Students' logical thinking and critical thinking ability demonstrate the feasibility of cultivating students' thinking quality in the process of high school English reading teaching.