I was not given a new contract for work as a teacher(montessori school) and therefore it confirms i was terminated. Should i not go in and finish term

This has been unjust treatment by co-workers who lied about my work performance and because the school directors are not in same building presently nor the owner is present they are not aware of such ploy and how it is these co-workers who do not do their work properly but they have accused me unjustly to school directors who only began last September. This is my second year I am finishing out. The school year ends on June 20th, but yesterday May 22nd I was confirmed terminated as my contract was not renewed, and today directors are trying to have me sign a letter stating that I was offered summer employment but that I refused. This is a lie and this was also not the reason given to me yesterday for not renewing my contract, but for the false accusations of complaints from co-workers. It has been hostile for me at my place of work the past 3 months. I've been holding out, should I just not come in and finish term since I was terminated yesterday? I plan on claiming unemployment. Advice