Yes, it is possible, you can try to apply for a one year multi entries tourist visa, generally, this visa allows you with 3 months stay each entry. To teach English in China and apply for a work permit, generally, they require applicants with at least a Bacherlor's degree and three years teaching experience.

I've been in China with Geckos Adventure Tour with Tour Leader last September 5th to September 27th and September 28th to October 13th 2010 that I've experience for one and half months and I enjoyed it! I know little experience in Shanghai for two weeks with my good friend who is deaf chinese people who guide with me around in Shanghai are so wonderfully! I want to go back Shanghai China again for a year and see how I feel than 3 months isn't enough because I want to be more learn Chinese language but bit difficult to understand what is Chinese Language? Any comment? Regards Mark Smith