Homework is an indispensable basic link in classroom teaching, an important link in the consolidation of knowledge after class, and an important way for students to understand knowledge, digest knowledge, and improve their problem-solving ability. In the practice of mathematics teaching in primary schools, attention should be paid to the effectiveness of homework assignments in different links before, during and after class, and the content of homework should take into account the reality of students at different levels. This paper expounds the strategy of hierarchical design of mathematics homework from the aspects of the hierarchical design and arrangement of mathematics homework in the upper grades of primary school, aiming to effectively improve the quality of mathematics classroom teaching in the upper grades of primary school.

The promulgation of the Curriculum Standards for ordinary high School (2017 edition, 2020 revision) has effectively promoted the reform of high school mathematics classroom. In order to cope with the change of textbook content in the new curriculum reform, it has become one of the important tasks for high school mathematics teachers to implement teaching activities better and sort out and analyze the differences between the old and new textbooks. This paper analyzes the differences between old and new textbooks from the three dimensions of system structure, course content and example exercises, and gives some reasonable teaching suggestions. Among them, the new textbook uses 2019 "Ordinary High School Textbook" person-taught A version of Compulsory Mathematics 1, and the old textbook uses 2004 "Ordinary High School Mathematics Curriculum Standard Experimental Textbook" person-taught A version of compulsory Mathematics 4. In general, the adjustment of the new teaching materials is more in line with the cognitive characteristics of students, pay attention to the penetration of mathematical culture and pay attention to the development of students' mathematical core literacy.

Improving educational outcomes in subjects such as English and mathematics remains a significant challenge for educators and policymakers. Strategic Human Resource Management (SHRM), which aligns human resource practices with organizational goals, has proven effective in business sectors but is less explored in educational contexts, especially from students’ perspectives. Existing studies often focus on teacher development, overlooking direct impacts on student performance. This research addresses the gap by examining how SHRM influences students’ performance in English and mathematics, incorporating student feedback to assess SHRM’s effectiveness. In the quantitative study, 200 students were analyzed to explore the relationship between SHRM practices and academic outcomes. The findings indicate that SHRM significantly affects student performance, with high predictive relevance and explanatory power in both subjects. The results suggest that strategic HR practices, such as professional development, performance management, and resource allocation, are critical to academic success. These insights provide valuable implications for educators and policymakers, highlighting the importance of integrating strategic HR management into educational frameworks to enhance curriculum design and resource distribution. The study demonstrates the broad applicability of SHRM across different academic disciplines, suggesting a need for comprehensive HR strategies that focus on both teacher and student performance. Future research should explore how SHRM influences educational outcomes and identify contextual factors that moderate its impact, enhancing effective HR practices in diverse academic settings.

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.

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.