a Visa which gives you 90 days of stay and can be obtained from an Embassy or as in this case inside Thailand by conversion.
an Extension of Stay for 1 year based on employment.
The 90 days you get using a Visa can not be cancelled if you do not work or stop working, you can stay until the last day of the 90 day period.
an 1 year Extension of Stay must be cancelled when the reason why you have this Extension change, like you get 1 year to work but you stop working.
As Lloyd already showed, this visa is based on working with mentioned school, you have to talk to your new employer, get all the documents ready to apply for a NEW Non Immigrant B visa at a Thai Embassy. Use that new visa to enter Thailand, pick up your new work permit and you are good to go work.
And just to not forget the option of the Non Immigrant O visa based on being married with a Thai National which gives you 90 days on entry, so no troubles and time wasted at Immigration. Benefit is if plans change you can still apply for the 60 days Extension of Stay based on visit family or even on the 1 year Extension of Stay.
Just amaze me that you allow it in the group, normally you delete my comments and advise when it does not fit your agenda or benefits your ego. But you can give me again a ban to comment for a few days.
NO, again YOU can NOT cancel a VISA only a judge can give out a court order to cancel a VISA.
a student NEED to cancel his Extension of Stay based on education when the student stops the course or stops visiting the school. He might go on short leave abroad with permission of the school and a re-entry permit, during that short leave there is no need to cancel the Extension of Stay.