Screws are a very convenient way joining wood together. They are however quite unsightly. Well I'm going to show you how to easily hide them so you'll never know they were even there!
Choose where you want a screw to go. Hold the chisel at a very shallow angle to the wood where the screw is going to go. It might take a bit of practice so try it on some scraps first.
Tap the end of the chisel with you hammer/mallet very gently to start curling up a piece of wood. Continue this until you have enough room to drill and drive in your screw.
Drill a small pilot hole under the curl of wood you created.
Countersink the hole so the head of the screw will be below the surface of the wood when you drive it in.
Drive in the screw and make sure it is below the surface of the wood.
Add some wood glue underneath the curl of wood. It doesn't take a lot. I tend to push down the curl to squeeze out the extra glue and clean it up before I add some clamps.
Fold down the curl flat and add some clamps to hold it while the glue dries. The edges are more important. Make sure they are pushed down to the rest of the wood.
When the glue is dry you can remove the clamps and sand it smooth.
I use a random orbital sander but by hand still works, it will just take longer.
I have demonstrated this technique on some scraps of softwood. I recently tried it on some hardwood and the results are even better. I tried Sapele & Oak. Oak is has a very brittle grain so you will need to be more careful while using the chisel but it is still a really effective method for hiding the screws.