Dissertation title: “Teaching Calculus in Grade 11 in the Lao People’s Democratic Republic in the direction of developing students’ mathematical problem-solving competence”.
- Speciality: Theory and Methodology of Mathematics Teaching Code: 9140111
- PhD. Candidate: Vilaxay Vangchia
- Supervisors:
Supervisors 1: Assoc. Prof. Dr. Trinh Thi Phuong Thao
Supervisors 2: Assoc. Prof. Dr. Nguyen Tien Trung
- 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 problem-solving competence among upper-secondary students; analyzes the characteristics and essence of instruction oriented toward developing problem-solving competence through teaching activities in Grade 11 Calculus. At the same time, the dissertation identifies and describes in detail the components and levels of manifestation of problem-solving competence, thereby contributing to the theoretical basis for forming, fostering, and assessing this competence in upper-secondary students.
2. In practice:
The dissertation proposes specific and feasible pedagogical measures for organizing the teaching of Mathematics (Grade 11 Calculus) in the Lao People’s Democratic Republic oriented toward developing students’ problem-solving competence, thereby improving the effectiveness of Mathematics teaching in upper-secondary schools. The dissertation also develops a system of exercises and problem-based situations connected to real-life contexts, providing a useful reference resource for high-school Mathematics teachers in the Lao People’s Democratic Republic, and helping them more easily apply the proposed pedagogical measures in their teaching practice.
The dissertation conducted experimental teaching to illustrate the feasibility and effectiveness of the proposed pedagogical measures
Based on the results achieved, it can be affirmed that the research objectives have been met, the research tasks have been completed, and the scientific hypothesis is acceptable. The dissertation’s study has confirmed that the measures for teaching calculus oriented toward developing students’ mathematical problem-solving competence are effective and feasible, improving students’ learning outcomes in mathematics. This initial line of research contributes to promoting the integration of the education system of the Lao People’s Democratic Republic.
APPLICATIONS IN PRACTICE AND THE NEEDS FOR FURTHER STUDIES
The practical applications
- Contributing to the development of problem-solving competence for Grade 11 students in teaching calculus at high schools in the Lao People’s Democratic Republic.
- The dissertation’s research results make a valuable contribution to postgraduate training at Thai Nguyen University of Education and at other institutions conducting research in Mathematics.
- The dissertation is a good reference for teachers, students, graduate students, and doctoral candidates specializing in the theory and methodology of teaching Mathematics.
Further studies needed
Continue researching to further develop the theoretical basis of problem-solving competence, as well as to propose methods and measures for training and developing students’ problem-solving abilities in teaching other topics and for other groups of students in the Lao People’s Democratic Republic.
