A new technique of teaching astronomy courses for science and non-science majors, so called personalized wild ideas sessions, is proposed. The brainstorming approach was developed and applied for teaching astronomy courses at ERAU, Eastern Region over the last 3 years. This technique represents an efficient and fun way to learn basic astronomical concepts and methods through a student\u27s involvement in generating \u27wild ideas about a given astronomical fact or set of facts, their analysis and verification. Basic elements of the technique and one sample session are described