This document contains plenary and contributed papers presented at the seventh PME meeting, held near Jerusalem, Israel in July 1983. Three plenary papers focused on implicit models in solving problems, discussions with teachers and children, and heuristics. Contributed papers were classified under seven headings: learning theories (generalization, psychological theories, neuropsychological theories), cognitive studies in arithmetic (word problems, natural numbers, fractions and ratio, operations, applications to teaching), cognitive studies in geometry (concept formation, spatial visualization, reasoning), cognitive studies in algebra and related domains (functions, student concepts and misconceptions), computers and mathematics learning, methodology, and teachers and teaching. The supplement contains information about the conference, additional papers (including a plenary paper on research problems), and names and addresses of participants. (MNS)