Mariana Montiel
Assistant Professor
Office: COE 708
Office phone: 404.413.6414
Email: matmxm [at]langate.gsu.edu
Education
B.S. Pure Mathematics, Universidad Nacional Autonoma de Mexico (National Autonomous University of Mexico), 1996
M.S. Pure Mathematics, Universidad Nacional Autonoma de Mexico (National Autonomous University of Mexico), 1999
Ph.D. Mathematics Education, Mathematics Department at University of New Hampshire, 2005
Research/Teaching
Mathematics Education:
1) Collegiate Mathematics: Linear and Abstract Algebra, Calculus and Analysis, Topology;
2) Mathematical Fluency,
Mathematics and Language
Mathematics and its Applications:
1) Category Theory (Topos Theory).
2) Mathematical Music Theory
Selected Publications
"Mathematical Fluency Measured with the Four Parameters of Foreign Language Learning: Applications of the Integral" in Proc. Twenty Eighth Annual Meeting of the North American Chapter of Inter. Group for the Psychology of Mathematics Education, Alatorre, S., Cortina, J.L., Saiz, M, Mendez, A. (Eds) Merida, Mexico: Universidad Pedagogica Nacional, 2006.
"The Denotator: Its Structure, Construction, and Role in Mathematical Music Theory" in the book: "Perspectives in Theoretical and Computational Music Theory,
Ed by G. Mazzola, Th. Noll and E. Lluis-Puebla,
epOs publishers, Universitat Osanabuek (2004).
Book contributions:
"The Topos of Music: Geometric Logic of Concepts, Theory and Performance",
Guerino Mazzola, Birkhauser Publ, 2002
"Global Compositions in Mathematical Music Theory" Memoirs of the First International Seminar on Mathematical Music Theory
Electronic Publications of the Mexican Mathematical Society Series:Memorias Vol. 1, 2002
"Algebra and Music" in "Aportaciones Matematicas" (Mathematical Contributions),
a publication of the Mexican Mathematical Society, 1997