Abstract: Developing intellectual capacity is one of the most important goals of education in general and Mathematical education in particular, as reflected in the law on Education of Lao
People’s Democratic Republic. This article has resulted in reality of developing intellectual capacity for teaching and learning Mathematics in high school, on that basis, we propose
orientations to development of intellectual capacity actively for learners in teaching Mathematics, adapt to practice of high schools in Lao People’s Democratic Republic.
Keywords: Developing, intellectual capacity, teaching and learning Mathematics, student.