This document contains seven papers (four written in English, the rest in German) concerning research on learning, curriculum, and instruction in mathematics education. Abstracts of all seven articles are provided both in English and in German. The four English-written papers discuss the following topics: (1) perspectives for modelling teaching and learning; (2) developments in studies of mathematical thinking and methodologies for classroom research and evaluation; (3) a report of a Swedish research project on curriculum and instruction in mathematics; and (5) task analysis in instructional design. The remaining papers cover research on the use of the mathematics textbook in the upper elementary grades, sources and conditions of the development of self-concept, and individualization and learning objectives in mathematics. (DT)