D.L.
It is normal for a toddler to hit themselves, others, throw fits, etc. She is doing this because she is frusterated and is not yet able to express herself verbally. My boys both did this we tried getting our oldest to scream into or hit a pillow. We even got him one of those toys where they hammer plastic pegs. Sometimes he would use one of those things and other times he would just behave like the toddler he was. We had the most success with keeping a close eye on him and when we saw he was getting frusterated one of us would get down on the floor with him, calmly get his attention by letting him know we wanted to help solve his problem and then walk him through it. Sometimes it worked and many times it didn't. Our second child seemed more observant and aware of his surroundings than our oldest was at this age. We learned early he was going to handle frusteration exactly how he saw us handle it. I wonder if our oldest watched us just as close and we just didn't realize it until the second time around. My best advice would be that your example will always be her most influencial teacher and I wouldn't stress over this stage too much it passes and none of you will be scarred for life over it. Good Luck