  This paper discusses our experiences and challenges in teaching advanced
undergraduate Real Analysis classes for Mathematics Education students at the
University of PGRI (Persatuan Guru Republik Indonesia, Indonesian Teachers
Association) Palembang, South Sumatra, Indonesia. We observe that the syllabus
contains topics with a high level of difficulty for the students who are
specialized in education and intend to teach mathematics at the secondary
level. The conventional lecturing method is mainly implemented during the
class, with some possible variations of the method, including the Texas method
(also known as Moore's method) and the small group guided discovery method. In
particular, the latter method has been implemented successfully for a Real
Analysis class at Dartmouth College, New Hampshire by Dumitra\c{s}cu in 2006.
Although it is a real challenge to apply a specific teaching method that will
be able to accommodate a large number of students, the existing teaching
activities can still be improved and a more effective method could be
implemented in the future. Furthermore, the curriculum contents should be
adapted for an audience in Mathematics Education to equip them for their future
career as mathematics teachers. Any constructive suggestions are welcome for
the improvement of our mathematics education system at the university as well
as on the national scale.
