One or more biting elements of a teething system are cooled to below ambient temperature, while a handle of the teething system is left at ambient temperature. One of the biting elements is selected by the caregiver and is inserted into a receptacle in the handle. As assembled, a cooled teething surface on the biting element is exposed so that a baby may bite it, but at the same time the baby's hands are insulated by the handle from contacting the cooled biting element.