The Collaborative International Dictionary of English v.0.48:

Schooling \School"ing\, n.
   1. Instruction in school; tuition; education in an
      institution of learning; act of teaching.
      [1913 Webster]

   2. Discipline; reproof; reprimand; as, he gave his son a good
      schooling. --Sir W. Scott.
      [1913 Webster]

   3. Compensation for instruction; price or reward paid to an
      instructor for teaching pupils.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

School \School\, v. t. [imp. & p. p. Schooled; p. pr. & vb. n.
   Schooling.]
   1. To train in an institution of learning; to educate at a
      school; to teach.
      [1913 Webster]

            He's gentle, never schooled, and yet learned.
                                                  --Shak.
      [1913 Webster]

   2. To tutor; to chide and admonish; to reprove; to subject to
      systematic discipline; to train.
      [1913 Webster]

            It now remains for you to school your child,
            And ask why God's Anointed be reviled. --Dryden.
      [1913 Webster]

            The mother, while loving her child with the
            intensity of a sole affection, had schooled herself
            to hope for little other return than the waywardness
            of an April breeze.                   --Hawthorne.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Schooling \School"ing\, a. [See School a shoal.] (Zool.)
   Collecting or running in schools or shoals.
   [1913 Webster]

         Schooling species like the herring and menhaden. --G.
                                                  B. Goode.
   [1913 Webster]

WordNet (r) 3.0 (2006):

schooling
    n 1: the act of teaching at school
    2: the process of being formally educated at a school; "what
       will you do when you finish school?" [syn: school,
       schooling]
    3: the training of an animal (especially the training of a horse
       for dressage)

Moby Thesaurus II by Grady Ward, 1.0:

34 Moby Thesaurus words for "schooling":
   book learning, booklore, catechization, coaching, didactics,
   direction, edification, education, enlightenment, guidance,
   illumination, indoctrination, information, instruction, knowledge,
   learning, pedagogics, pedagogy, preparation, private teaching,
   programmed instruction, reeducation, research, self-instruction,
   self-teaching, spoon-feeding, study, teaching, training, tuition,
   tutelage, tutorage, tutoring, tutorship