The pendulum keeps swinging back and forth between two camps. There are those who say that we should pull in our tummies to keep our abdominals strong and promote core strength and there are those who advocate for not pulling in our tummies, that we should maintain our lumbar curves. Right now we are in an era of 'let it all hang out'. Actually, the two camps are not entirely mutually exclusive, yet both are wrong.
We do want to activate our transvers abdominus throughout our day, while maintaining our lumbar curve and while allowing our tummies to move with our breath. This means pulling in our tummies slightly, about an inch, while not maintaining a rigidity to that hold. The transverse abdominus is a component of the core, which provides stabilization for functional movement and contributes to balance and proprioception. We do want to strengthen our core. But more importantly, we want to engage our core in concert with functional movement. In this way we educate our bodies in neuro-muscular coordination. A strong muscle without neuro-muscular coordination is a bully to its neighbors.