Reg,
I've just spent quite a lot of time under my boat taking off an old transducer and installing a new one. The SB yard's way of doing it is to install a long and quite large wedge of wood which they stick with Sikaflex to the shelf inside the bottom of the centreboard slot, just ahead of the slot opening. With the pointy bit of the wedge facing forward, this gives a small aft-facing "transom" above the front of the slot. A small (and it has to be small) transom-mounted transducer can then be screwed into the wood, so that the transducer sits in the opening ahead of the centreboard. This is the standard 8-pin one used by several of the newer Garmin fishfinders
http://www.scubastore.com/scuba-diving/garmin-transom-mount-transducer-500-w-for-gsd24/132427/p I'd say that the small one in James's photo is another make, possibly Lowrance.
The Garmin's bracket can be adjusted up and down when the screws are loose to get the vertical position just right and the hinge on the bracket allows the transducer angle to be adjusted too, so that the beam points straight down. I've attached a photo showing my old one in place in 2011 - you can just about see the wooden wedge to which it is attached. Note the missing screws on the steel centreboard mounting bracket - since rectified.
Unless you have very small hands, it will probably be necessary to unscrew the centreboard from its steel bracket to give yourself access to the slot from underneath. For a neat wiring job, you may also need to unscrew the top wooden capping on the centreboard case in the cockpit. This way of doing it is not a job to be undertaken lightly, as I now realise when wondering where the past two days went!