It is hard to teach students multiplication tables but if you can teach them strategies they can keep with them right from their own head they will have more tools to work with when it comes test time!
I have two songs and two writing-out strategies I want to share with the world that work wonders in my experience.
The sixes song I made up myself and the sevens song was a song my husband learned in school. I found the eights writing out trick last year when one of my students noticed it, and one of my colleagues had shown me the nines trick.
Students need strategies that they can use and this should help appeal to varied learning styles.