There are several synonyms for the term "cool heads" which basically refers to someone who can stay calm and composed even in stressful or challenging situations. Some other synonyms of cool heads include level-headedness, composure, poise, equanimity, self-possession, and unflappability. These terms all refer to someone who can keep their emotions in check and remain rational and clear-headed in difficult moments. Being able to maintain a cool head is an important skill in many fields, including business, sports, and politics. It is especially crucial during times of crisis when quick thinking and calmness can often make all the difference.