The Collaborative International Dictionary of English v.0.48:

Scholastic \Scho*las"tic\, a. [L. scholasticus, Gr. ?, fr. ? to
   have leisure, to give lectures, to keep a school, from ?
   leisure, a lecture, a school: cf. F. scholastique,
   scolastique. See School.]
   1. Pertaining to, or suiting, a scholar, a school, or
      schools; scholarlike; as, scholastic manners or pride;
      scholastic learning. --Sir K. Digby.
      [1913 Webster]

   2. Of or pertaining to the schoolmen and divines of the
      Middle Ages (see Schoolman); as, scholastic divinity or
      theology; scholastic philosophy. --Locke.
      [1913 Webster]

   3. Hence, characterized by excessive subtilty, or needlessly
      minute subdivisions; pedantic; formal.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Scholastic \Scho*las"tic\, n.
   1. One who adheres to the method or subtilties of the
      schools. --Milton.
      [1913 Webster]

   2. (R. C. Ch.) See the Note under Jesuit.
      [1913 Webster]

WordNet (r) 3.0 (2006):

scholastic
    adj 1: of or relating to schools; "scholastic year"
    2: of or relating to the philosophical doctrine of
       scholasticism; "scholastic philosophy"
    n 1: a person who pays more attention to formal rules and book
         learning than they merit [syn: pedant, bookworm,
         scholastic]
    2: a Scholastic philosopher or theologian