Final answer:
The parenting style described by Diana Baumrind as providing warmth with little control, and rare punishment is permissive parenting.
Step-by-step explanation:
According to Diana Baumrind, the parenting style that offers warmth and caring, but little parental control, and wherein parents generally accept their children's behavior and punish them infrequently is known as the permissive parenting style. These parents are very nurturing and loving and may play the role of friend rather than parent. However, there are consequences to this style, as children raised by permissive parents often tend to lack self-discipline and the style is negatively associated with grades.