PhD Program in Mathematics Education, University of
Arizona, Department of Mathematics
GRADUATE CREDIT REQUIRED: 36 Units in Mathematics. Ordinarily
this will include full year courses in algebra, real analysis,
topology, and complex analysis. A full course in probability at the
graduate level is recommended, but may be replaced in consultation
with an advisor if the candidate has a sufficiently strong background
in probability and statistics. The remaining 12 units will be chosen
in consultation with an advisor. Twelve units in a supporting minor
are required. Ordinarily these units will be chosen from courses in
the College of Education and in the Department of Mathematics in
consultation with an advisor. Eighteen units of dissertation are
required by the Graduate College. In addition, candidates are
required to register for the one credit Mathematics Education
Symposium each semester they are in the program, and report to it on
their research progress once a year.
QUALIFYING EXAMINATION: Candidates are required to pass the
regular Department of Mathematics Qualifying Examination.
PRELIMINARY EXAMINATIONS: The written preliminary examination
will be on some topic in mathematics education, or perhaps on an
expository or historical topic in mathematics. The oral preliminary
examination will be on material in mathematics education and on the
research selected by the candidate for his dissertation.
LANGUAGE REQUIREMENT: Candidates are expected to pass
examinations in two foreign languages, but may substitute a computer
language for one of these. Other substitutes may be approved in
special cases (for example, American Sign Language could be used if
the candidate has a special interest is the teaching of hearing
impaired students).
DISSERTATION: The dissertation generally will be a research study
in mathematics education, or an expository or historical paper in
mathematics.
FINAL ORAL EXAMINATION: The final oral examination is a
presentation and defense of the dissertation and is open to the
public.
TEACHING EXPERIENCE: Two or more years of pre-college teaching
is desireable. However, full semester observation practicums at
elementary school, junior and senior high school may be substituted.
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Edward H. Alexander / Department
of Mathematics / Mathematics Education /
University of Arizona / last revised October 15, 1996