A man is helping his daughter with her shoes, by a swimming pool.
A man is teaching lessons to his daughter
Helping assumes she has already learned to some degree.  Teaching means she is gaining the knowledge.
exists e1 x1 x2 x3 x4 x5.(by(e1,x4) & n_pool(x4) & of(x4,x5) & n_swimming(x5) & with(e1,x3) & n_shoe(x3) & of(x3,x2) & n_female(x2) & Theme(e1,x2) & Actor(e1,x1) & v_help(e1) & n_daughter(x2) & of(x2,x1) & n_male(x1) & n_man(x1))
exists e1 x1 x2 x3.(to(e1,x3) & n_daughter(x3) & of(x3,x1) & n_male(x1) & Theme(e1,x2) & Actor(e1,x1) & v_teach(e1) & n_lesson(x2) & n_man(x1))