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 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.

With the requirements of New English Curriculum Standards, English teaching has shifted towards organising content thematically, focusing not only on the transmission of linguistic knowledge but also on the improvement of students’ comprehensive quality during language learning. This evolution undoubtedly raises higher demands on English instruction. Unit-based integrated teaching, as an innovative pedagogical model, is characterised by its holistic, interconnected, progressive, and comprehensive features. It can help students to build a correlated knowledge network facilitates the establishment of connections between disparate pieces of knowledge, deepens students’ understanding and enhances their retention, improves their overall linguistic competence and learning ability, so as to foster the comprehensive development of core literacy. Therefore, this article takes the teaching of English in compulsory education as an example, and explores and elaborates on the design and implementation path of integrated teaching of English units under the new curriculum standards from four aspects: teaching objectives, teaching content, teaching process, and teaching evaluation, in order to provide reference for promoting integrated teaching of English units in compulsory education.