C172 PILOT REPORTS NMAC WITH ANOTHER C172 IN THE TRAFFIC PATTERN AT DAB FOR RWY 7R.

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I WAS THE PNF IN A C172. WE WERE TOLD BY DAYTONA APCH TO 'MAINTAIN 1500 FT; RPT MIDFIELD DOWNWIND FOR RWY 7R' WITH THIS INSTRUCTION; WE WERE SWITCHED OVER TO TWR AND TWR TOLD US THE SAME INSTRUCTION; ALMOST WORD FOR WORD. AS WE ENTERED THE PATTERN; WE TURNED L AND I CALLED TWR TO RPT THAT WE WERE ON THE MIDFIELD DOWNWIND. HOWEVER; I DIDN'T GET AN IMMEDIATE RESPONSE. THE TWR THEN CALLED ANOTHER ACFT AND GAVE HIM INSTRUCTIONS. ABOUT 10 SECONDS AFTER THE FIRST CALL WE WERE ABEAM THE RWY; AND I CALLED AGAIN. WE BEGAN OUR DSCNT; AND WERE PASSING THROUGH APPROX 1300 FT MSL WHEN ANOTHER ACFT PASSED BELOW US; OVERTAKING US; AND MISSED US VERTICALLY ABOUT 100 FT. THE TWR IMMEDIATELY CALLED US AND TOLD US TO CLB; WHICH WE WERE ALREADY DOING. WE EXTENDED OUR DOWNWIND AS REQUESTED AND LANDED WITHOUT INCIDENT. AS PNF; I THINK THAT THE MAIN CONTRIBUTIONS TO THIS NEAR MISS WERE 2 FACTORS. ONE; THE TFC WAS NEVER GIVEN TO US AS WE WERE ENTERING THE PATTERN. IF CTLR HAD SAID TO FOLLOW THE TFC; THEN THIS WOULDN'T HAVE OCCURRED. OR IF CTLR HAD GIVEN US CLEARER INSTRUCTIONS TO NOT DSND; THEN WE WOULDN'T HAVE HAD THIS ISSUE EITHER. THE SECOND CAUSE IS THE OTHER ACFT NOT LOOKING FOR TFC IN THE PATTERN. A MINOR NOTE; HE WAS CRUISING ABOUT 120-130 KTS IN THE PATTERN; AND WAS SIGNIFICANTLY FASTER THAN US IN OUR SAME MODEL CESSNA. LAST; THE TWR WAS WORKING ABOUT 5 OR 6 ACFT IN THE PATTERN FOR RWY 7R AT DAYTONA. PERHAPS THIS TFC LOAD WAS ALSO A MAJOR FACTOR IN PLAY FOR THIS. I THINK THAT THIS PROB WILL CONTINUE TO HAPPEN UNTIL MORE TA'S ARE GIVEN.