"Nonjudgmental awareness" refers to being observant and attentive without forming opinions or making criticisms. It means noticing things without immediately labeling them as good or bad. Full definition
Mindfulness is the art of practicing nonjudgmental awareness of the present moment. (business-opportunities.biz)
Guided / recorded awareness exercises directed at increasing nonjudgmental awareness of bodily sensations, feelings and thoughts Taking on problems with a position of self - compassion Establishing an «action plan» made up of strategies for dealing with early warning signs of relapse / recurrence. (ahealthblog.com)
Mindful parenting means nonjudgmental awareness of what is happening in our lives and in the lives of our children at each moment, coupled with a deep concentrated attention to those moments. (attachmentparentingdoctor.com)