Why does all knowledge begin with observation? What role does observation play in mathematics?

Any knowledge begins with observation, because it is a deliberate and purposeful perception of the surrounding world in order to study and find meaning in phenomena. Observation is one of the methods of research and cognition, a way of obtaining information using the senses. By observing, a person acquires knowledge about phenomena or objects.
Even in mathematics, observation is needed to solve problems and discover patterns.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.