Improving my traditional short radius non-carved turn has been a pet project of mine for the last few years, albeit one that I rarely pay attention to because I'm having too much fun slicing grooves in the snow, but improve I must. I'm sure there are others who want to improve their traditional short radius turns too.
By carve I mean pure arc-2-arc no-sideways-skiing; non-carved means the opposite, i.e. the kind of turn most folks were taught to use in order to control their speed and to make the skis turn tighter than they could make a clean pure arc-2-arc turn by tipping the ski way up on edge.
So have at it. What must be done to make one of these turns properly, according to your recipe? What do you do or teach in order to produce a bullet-proof traditional short radius turn.
What you are describing is called 'skidded short turn' which is technically distinguished from the 'carved short turn' or 'carving short turn'.
There are a few things that needs to be combined all together to achieve the 'skidded short turn'.
1. pole checking. pole checking. pole checking. --> must. will bring you back a balance. not just touch the snow. you really have to check (or poke) the snow. pole checking timing is important too.
2. rotary movement of your ankle and knee --> ankle rotation is more important to make a turn shorter. once you master the ankle rotation, you will be able to make the turn size shorter regardless of the ski length. To me it's more easier to make the 'skidded short turn' with the GS skis ( >180cm) because the SL skis tends to hook up too quickly making it like the carved turn so that I have to pay extra attention.
3. vertical up and down movement. --> you have to, literally, throw your COM into the fall line with up movement.
4. emphasized fore-apt movement --> strong pressure under the ball of your foot when turn initiation. raising your big toe will help you to feel the pressure under the ball. you really have to make the turn from the tip by giving it a strong pressure.
4. upper and lower body separation by countering.