Teaching styles are developed from your experience and your personality, your beliefs of how best to educate your students. There are different teaching styles such as experts in a specific field, formal authoritarians, facilitators, delegators and modelers (learn by example). Teachers develop their style, keeping in mind cultural differences and how students learn best.
Different methods are used to give instruction and to assess student learning. Styles are more of an approach. I hope this helps.
I seem to recall that teaching styles appeal to different learning styles. Some people learn best by seeing (visual learners) some by hearing, or reading, (auditory learners) or by doing (kinesthetic learners). I was an art student and much of my teaching was accompanied by drawing pictures or showing visual examples of concepts. When I did some sub teaching in a blind class, I suddenly realized that my best teaching tool had been taken away. I needed to develop other styles to include all kinds of learners-- even if they could see.