Work with your allies to stack Concussive Blows, encourage them to basic attack marked targets.
Leap in front of squishy friends and shield them from projectiles with Unbreakable.
Glacial Fissure leaves a powerful slow zone, position it well to split teamfights and slow the enemy approach.
Braum must land Winter's Bite or a basic attack to start Concussive Blows. If you get marked, exit combat range before getting hit 3 more times to avoid the stun.
Braum's ultimate has a long cast time, use that extra time to dodge. Walking over the frozen ground left behind will slow you, position so that you don't need to cross it.
Unbreakable gives Braum extremely strong directional defense, either wait until it is down or outposition the ability.