This study

titled "Application of PBL Teaching Method in High School Mathematics Unit Teaching: A Case Study of 'Spatial Vectors and Solid Geometry'

" analyzes the construction and implementation of the Problem-Based Learning (PBL) teaching model in high school mathematics. Through literature analysis

it explores the characteristics of PBL and its design and practice in the "Spatial Vectors and Solid Geometry" unit. The research indicates that the PBL teaching method

through problem-driven and situational design

can effectively enhance students' core mathematical competencies

including deep understanding of knowledge

problem-solving abilities

and collaboration skills. This teaching method also demonstrates strong adaptability and operability in practice. The findings suggest that PBL has significant value in promoting student development and advancing mathematics teaching reform

providing important references for future teaching.