The mathematical solution to a Piagetian experiment involving topological concepts reported in a recent book is labeled as a sham. The correct solution is given and discussed. (MP)

The author explains what the IOWO is and the reason for the present conference and his part in it. He discusses the observation of learning processes and gives an example of an opportunity he had to observe a learning jump in a small boy. (MN)

The most influential factors reported are: the activities of the Commission on the Modernization of the Mathematics Program, social change, and change of the secondary educational system. (MP)

This paper provides a log and discussion of experiments conducted by a five-and-one-half-year-old child under the direction of the author. (SD)

The hypotheses, methods, and results of the mathematics portion of the International Project for the Evaluation of Educational Achievement are discussed. Several issues are raised in this critical review of the project and its findings. (SD)

Problems in mathematics education as a social activity are the major focus of this document. Paragraphs that describe major problems in mathematics education point out at least eleven major issues as seen from the author's perspective. (MP)

After a discussion of philosophy and learning processes and theories, the author presents rationale for teaching axiomatics in geometry including traditional and modern transformational approaches. (JG)

Based on the premise that body experiences interfere inconveniently with scientific ideas in mechanics instruction. Suggests that learning processes start with body experiences and, with guidance, transform them into something scientific. Discusses this process for the static and kinetic aspects of force and for measurement. (MDH)