- Dissertation title: “Teaching some elements of mathematical analysis in the direction of developing practical problem-solving competence for grade 12 students in the Lao People’s Democratic Republic”.
- Speciality: Theory and Methodology of Mathematics Teaching Code: 9140111
- PhD. Candidate: MANYVANH INTHAVONGSA
- Supervisors:
1. Supervisors 1: Prof. Dr Nguyen Danh Nam
2. Supervisors 2: Dr. Bui Thi Hanh Lam
- Training Institute: University of Education - Thai Nguyen University
NEW SCIENTIFIC FINDINGS OF THE DISSERTATION
The dissertation achieves the following results:
1. In theory:
The dissertation clarifies the concept of practical problem-solving competence; analyzes the characteristics and nature of teaching oriented toward developing this competence through the instruction of selected elements of mathematical calculus for grade 12 students in the Lao People’s Democratic Republic. At the same time, the dissertation identifies and describes in detail the components of this competence as well as the levels at which practical problem-solving competence is manifested. This contributes to providing a theoretical foundation for the formation, development, and assessment of this competence among upper secondary school students.
2. In practice:
The dissertation proposes a competency framework and several specific and feasible pedagogical measures for organizing the teaching of selected elements of mathematical analysis in a way that develops practical problem-solving competence for grade 12 students in the Lao People’s Democratic Republic. Thereby, it contributes to improving the effectiveness of mathematics teaching in upper secondary schools.
The dissertation also develops several real-world situations and organizes project-based learning activities associated with these practical contexts, providing useful reference materials for upper secondary school mathematics teachers in the Lao People’s Democratic Republic and helping them more effectively apply the proposed pedagogical measures in the teaching process.
The dissertation conducted experimental teaching to illustrate the feasibility and effectiveness of the proposed pedagogical measures.
Based on the results obtained, it can be affirmed that the research objectives have been achieved, the research tasks have been completed, and the scientific hypothesis is acceptable. The findings of the dissertation confirm that the teaching measures for selected elements of calculus oriented toward developing students’ real-world problem-solving competence are effective and feasible, contributing to improving the quality of students’ mathematics learning. This study represents an initial research direction that contributes to promoting the integration and development of education in the Lao People’s Democratic Republic.
APPLICATIONS IN PRACTICE AND THE NEEDS FOR FURTHER STUDIES
* Practical applications:
- Contributing to the development of students’ real-world problem-solving competence in teaching selected elements of mathematical calculus for grade 12 students in upper secondary schools in the Lao People’s Democratic Republic.
- The research results of the dissertation make a contribution to postgraduate training at the University of Education, Thai Nguyen University and at other institutions conducting research in mathematics education.
- The dissertation is a useful reference for educational researchers, teachers, students, master’s students, and doctoral candidates in the field of the Theory and Methods of Teaching Mathematics.
* Further research:
Further research aims to supplement the theory of practical problem-solving ability and propose methods of organizing teaching, pedagogical measures, and assessment of the development of practical problem-solving ability for students in teaching different topics and different student groups in the Lao People’s Democratic Republic.
