Before deciding whether or not music should be taught to children, or deciding who is qualified to teach it, the importance of music should be identified.
Music is a unique subject matter.
It has probably existed since the dawn of humans, long before mathematics were discovered or written language created. Because of this it is a permanent part of humanity's history and applies to all cultures, ages and genders. It has been used as a form of communication, from folk songs that told a story to work songs sung by slaves to pass the time and keep up moral. This shows an emotional connection to music, as well as an intellectual and practical purpose. Music can induce or express emotions, and sometimes it does both simultaneously.