This book is the final report of the ICMI study on the Teaching and
Learning of Mathematics at University Level. As such it is one of a
number of such studies that ICMI has commissioned. The other Study
Volumes cover assessment in mathematics education, gender equity,
research in mathematics education, the teaching of geometry, and history
in mathematics education. All ofthese Study Volumes represent a
statement of the state of the art in their respective areas. We hope
that this is also the case for the current Study Volume. The current
study on university level mathematics was commissioned for essentially
four reasons. First, universities world-wide are accepting a much larger
and more diverse group of students than has been the case. Consequently,
universities have begun to adopt a role more like that of the school
system and less like the elite institutions of the past. As a result the
educational and pedagogical issues facing universities have changed.
Second, although university student numbers have increased
significantly, there has not been a corresponding increase in the number
of mathematics majors. Hence mathematics departments have to be more
aware of their students' needs in order to retain the students they have
and to attract future students. As part of this awareness, departments
of mathematics have to take the teaching and learning of mathematics
more seriously than perhaps they have in the past.