A good move that flips few discs and keeps your discs together is also a good move for your opponent. So the next step in reading is to take away the opponent's good moves. An opponent who loses good moves ends up playing worse ones, and the balance of the game tips. Taking first, defense and spoiling are the concrete ways to do it.
First imagine that you have passed the turn to your opponent and find where the opponent would like to play. If that square is good for you too, take it now. In Othello you cannot play on an occupied square, so a square you take first disappears for the opponent.
Exercise
Black to move. The opponent would like to play C5. Of the marked C5 and D3, which move takes that square first?
Exercise
White to move. Of the marked D2 and G3, which move first takes the square the opponent most wants?
Exercise
Black to move. Of the marked F3 and H4, which move first takes the square the opponent most wants?
Exercise
White to move. Of the marked B6 and C5, which move first takes the square the opponent most wants?
Exercise
Black to move. Of the marked D6 and G6, which move first takes the square the opponent most wants?