Most of the exercises that I use incorporate the core as much as possible. I rarely use isolation of a muscle group (unless I am trying to address an imbalance). I also use a lot of conscious core activation with clients.
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A few of my fav’s to use with clients are:
V-UPS-Have client lie flat with arms overhead, they will then fold their body into a v where the hands and feet touch at the midline.
Pike up on the stability ball
Suitcase cruches- client crunches up and folds knees into chest
Windshield Wipers: Client lies flat and brings legs up to 45 degree’s or just high enough to where the back doesn’t arch. this can be done bent leg at 90 degree’s as well. then have them move legs from side to side while keeping the Torso flat on the mat.
I don’t know what its called, but My current favorite is to lay on my back holding a stability ball in my hands. I touch the ball over my head then sit forward and grab the ball with my feet. Straight legged I touch the ball to the floor then straight legged bring it back up and grab it with my hands and do it again.
I like to do a set of two at one minute intervals. It really gets my abs and adductors screaming.