ArrayList not storing values

I am new to the concept of ArrayLists. I am using them as I want a dynamic array that isn't limited in the size of how many values it can hold in sequence. But the method I am using is not storing values correctly. I only keeps one value being the value 1. My code is as follows:

public void Rand(){
Random rand = new Random();
            int Val = rand.nextInt(5); 
          ArrayList<Integer> ValList = new ArrayList<Integer>();
          ValList.add(Val);
          Log.d("LOOK", Integer.toString(ValList)); 
          Log.i("VALUE LIST ", ValList.size()+" <<<<LIST HERE"); }

This process is called in oncreate and then returned to on a loop Ideally every time this class runs a new random number will be added to the array in sequence.

This is the relevant info on the logcat
03-05 19:15:15.020: D/LOOK(21325): 3
03-05 19:15:15.020: I/VALUE LIST(20883): 1 <<<<LIST HERE
03-05 19:15:15.040: D/LOOK(21325): 5
03-05 19:15:15.040: I/VALUE LIST(20883): 1 <<<<LIST HERE

As you can see it only stores the value 1 even though the random value is not 1. Am I using the wrong type of array or implementing it incorrectly?

The output i'd want to see is something like this:

03-05 19:15:15.020: D/LOOK(21325): 3
    03-05 19:15:15.020: I/VALUE LIST(20883): 3 <<<<LIST HERE
    03-05 19:15:15.040: D/LOOK(21325): 5
    03-05 19:15:15.040: I/VALUE LIST(20883): 3, 5 <<<<LIST HERE