The Collaborative International Dictionary of English v.0.48:

Catechise \Cat"e*chise\, v. t. [imp. & p. p. Catechised; p.
   pr. & vb. n. Catechising.] [L. catechizare, Gr. ?, equiv.
   to ? to resound, sound a thing into one's ears, impress it
   upon one by word of mouth; ? + ? to sound, ? a sound.]
   [1913 Webster]
   1. To instruct by asking questions, receiving answers, and
      offering explanations and corrections, -- esp. in regard
      to points of religious faith.
      [1913 Webster]

   2. To question or interrogate; to examine or try by
      questions; -- sometimes with a view to reproof, by
      eliciting from a person answers which condemn his own
      conduct. --Swift.
      [1913 Webster]

WordNet (r) 3.0 (2006):

catechise
    v 1: give religious instructions to [syn: catechize,
         catechise]
    2: examine through questioning and answering [syn: catechize,
       catechise]