With the rapid development of internet technology, online education has become an important trend in the education industry. Especially under the influence of the global COVID-19 epidemic, online teaching has been widely applied and promoted. However, there are also some problems with online teaching, such as a lack of realism and low student engagement. Therefore, exploring the integration of online and offline teaching models has become a hot research topic in the field of education. This article will analyze the reform strategy of integrating online and offline teaching in university mathematics courses, aiming to explore how to improve the teaching effectiveness of university mathematics courses and promote students' learning interest and ability through the integration of online and offline teaching.

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.

This article evaluates the Didactic Strategies for Teaching Mathematics (DSTM) program, designed to enhance the teaching of mathematical content in primary and secondary education in a hybrid modality. In alignment with SENACYT’s Gender-STEM-2040 Policy, which emphasizes gender equality as a foundational principle of education, this study aims to assess whether initial teacher training aligns with this policy through the use of mathematical strategies promoting gender equality. A descriptive-correlational approach was applied to a sample of 64 educators, selected based on their responses during the training, with the goal of improving teaching and data collection methodologies. Findings indicate that, although most teachers actively engage in training, an androcentric approach persists, with sexist language and a curriculum that renders girls invisible, hindering the fulfillment of the National Gender Equality Policy in Science, Technology, and Innovation of Panama (Gender-STEM Policy 2040). Additionally, through a serendipitous finding, a significant gap in student activity levels, especially in secondary school, was discovered. While in primary school, activity levels were similar between genders, a decline in active participation among girls in secondary school was observed. This discovery, not initially contemplated in the study’s objectives, provides valuable insights into gender differences in active participation, particularly in higher educational stages. The serendipity suggests the need for further exploration of social, environmental, and family factors that may influence this decrease in girls’ active participation. The article concludes with a preliminary diagnosis and a call to deepen gender equality training and the effective implementation of coeducation in Panama’s educational system.

This paper aims to explore the practice and effect of integrating ideological and politics in higher vocational mathematics education. Through the review of relevant literature and the analysis of practical cases, this study analyzes the necessity and feasibility of integrating ideological and political education into higher vocational mathematics teaching, as well as the promoting effect of students' ideological and political education. At the same time, it also discusses how to effectively combine the curriculum thinking and politics with higher vocational mathematics teaching, as well as the strategies and methods to achieve positive results, in order to provide some reference for the majority of higher vocational mathematics teachers.

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.