Developing creative thinking for learners through problems about points in tetrahedrons

Abstract

Developing creative thinking involves guiding learners to discover new problems, find new solutions, and create new issues. Innovating teaching methods means shifting from one-way transmission of knowledge to highly interactive teaching that promotes student engagement, initiative, and creativity while fostering confidence, enthusiasm, and creative learning.

In the mathematics program, spatial geometry holds a particularly important position. In recent years, problems related to equalities and inequalities in spatial geometry have been frequently featured in periodic tests, provincial student competitions, Olympic exams, and university entrance exams, causing considerable difficulties and confusion for both students and teachers. Many students are apprehensive about or lack confidence when approaching spatial geometry problems. Therefore, focusing on analyzing these problems and converting them into basic problem types will enhance the effectiveness of learning.