Do Miracles Happen Today?

If God really is supernatural, should we think it so strange when the miraculous occurs? Put more personally, can we trust Him for that which has no human explanation today?  Or should we conclude that God put our world into operation and then withdrew, leaving our world to run itself?  There is one thing for certain.  The twelve men who walked with Jesus Christ experienced a great deal of the supernatural, for Christ, according to the Gospels, touched blind eyes and men saw.  He cleansed the lepers.  He unstopped deaf ears, and the lame walked.  This, of course, was very unsettling to some of the people who were present, especially the religious leaders who were convinced that God could, but to actually see it, was rather distressing.  How could they account for it?