This document contains papers discussing the status of aspects of mathematics education. A brief description of the establishment and operation of the Institute for the Teaching of Mathematics (IDM) is presented first. The lengthier second paper discusses the reconciliation of main aspects of mathematics teaching. The remaining five papers concern: the problem of interdisciplinary instruction, speculations about applied mathematics, a review of Bruner's theories on cognition and curriculum theory, a report on the operation of the French educational research institute (IREM) in advanced teacher training, and comments on a publication from the Soviet author Zankov. (MS)