Qual é o significado de "Cut through" e de "Push Over"?

Avatar do usuário Albert Rocha 170 2
I was glad nobody was near the pirate display earlier that afternoon, to see me go under it. Nobody to see me cut through the pieces of wood with a saw, then push them over.

1- Que diferença há entre usar o cut e o cut through?
2- Quando o autor fala ...push them over significa que ele queria derrubar ou só afastar as peças de madeira?