Parenting Advice

Hello Mummies, I have a 2 year old toodler who keeps on throwing tantrums whenever she dont get the things she wants. She would throw herself on the floor, rub her knees on the floor, put her face on the floor and non stop crying until we give in. We tried methods like threatening her with a cane or walking away or avoid eye contact with her. We tried telling her nicely and in a firm tone but obviously it didnt work. We also tried to give her space to cry as in to vent and we just sat there to watch her but what really make me angry is when she hurt herself like throwing herself backwards and the back of the head hits the floor. Can any fellow mummies share your advise? Is she going the terrible two phase? I am a FTM here.