The lines of your coloring page are the rules you need to share with your team, share with them the boundaries. They are more likely to stay with in the lines if they know that they exist. Next by holding the work up for group and team acceptance they become their own self policing force. They can set self expectations and make constructive self criticism as well. The reward is acceptance and recognition from the team, an old saying is that a person can starve without any feedback, but only needs one good compliment to be filled to overflowing.
So why the fascination, and how can they help you? In the most basic sense, the act of applying colored media to intricate line drawings is a benefit to relaxation and stress reduction. You are able to put the outside world aside for the moment and focus on the art of coloring singularly. Studies have shows that anxiety levels dropped in adults that colored. They did note that simple doodling had no affect on anxiety. The focus on coloring and switching off the brain allows that blocking of anxiety in the moment. Coloring does not have a need for complicated thought processes and like listening to calming music, you are able to get within yourself, isolated from external anxiety, commotion, and distractions.
One great family bonding that I can suggest for a family who has a small child with them is coloring books. The majority of the children love to paint and color pictures that are create to serve with that purpose. As parents, you can give them a hand in accomplishing this task. Why not give them a portion of your valuable time so that you wont give them reason to be revolted with you for acting the part of being their parents? I, myself adore coloring books. I can envision how my mother and I will try to color pages. She would teach me how to color pictures and what hue should I apply to a certain part of the image. Green for the leaves and red for the petals.... I can still remember the exact picture that we always trace and color.