Debater: As a pedagogical practice, lecturing embodies hierarchy, since the lecturer is superior to the student in mastery of the subject  But people learn best from peer interaction  Thus, the hierarchy in lecturing is a great weakness  Respondent: By definition, all teaching and learning are hierarchical, for all teaching and learning must proceed from simple to complex  In teaching mathematics, for example, arithmetic must precede calculus
Thus, the hierarchy in lecturing is a strength
concedes one of the major assumptions on which the debater's argument depends