To have a strong core you need to strengthen your 6 pack
Yes your core is made up of your 6 pack (rectus abdominus), however it is just one muscle of many. They work togther to function as your core. As riders, our 6 pack is not of high importance - it is a power muscle, which is not relevant most of the time when riding. However it does provides a support function, so needs to be as strong as the other muscles.
When trying to engage your deep core muscles, you must press your back into the floor
No no no, please don't do this! Your spine, as we have learnt, is an 'S' shape, so by pressing the back into the floor, we are stretching out the curves and flattening, so the vertebrae that make up your spine are no longer in alignment. Instead think about keeping your spine in neutral - where the pelvis is parallel, and not tilted forwards or backwards, and the spine has its natural curves.
When trying to use your core, we should brace and suck in our stomachs
Yes we do need to engage our TrA, but gently so that it is activated, but not so much that we are engaging everything so that our core becomes tense and immobile, we restrict our breathing and we lock down the pelvis. When your core is on correctly, you should feel it working but should still be able to breathe easily, move naturally and easily move the pelvis. This does take practice though
Lots of Ab Curls, Sit Ups and Planks will give me a strong core for riding
Yes these exercises do strengthen your core, but as riders, we need more functional exercises. When we are riding, our core is working whilst we are in a seated position - holding our body up, and allowing our pelvis to move. The other exercises are working with gravity in a different way and don not require the same pelvic control. A good core programme will incorporate a range of exercises that will function your core in a variety of positions
The Swissball is the best way to start strengthening our core
Yes the swissball is a great tool for working your core, but ONLY once the basics have been grasped. If you hop on a swissball before you can fire up your core properly, keep the spine in neutral and the pelvis controlled, you will just reinforce old habits. Start with the basic floor lying exercises and progress on to the ball once the basics are well established.