Scientific observation refers to the systematic process of gathering data through direct or indirect methods, which involves careful watching, listening, measuring, and documenting phenomena in a structured way. This approach is crucial for developing theories and hypotheses in various scientific fields, as it lays the groundwork for understanding and interpreting natural events. The importance of scientific observation in mathematics and astronomy is evident in how scholars used these methods to refine their calculations, improve navigational tools, and advance knowledge about celestial bodies.