John Paul Cook
Graduate Student, Dept. of Mathematics
Office:  1001 PHSC
jcook@math.ou.edu


Research and Professional
updated 3/25/11

My current research interests are in teaching and learning abstract algebra at the undergraduate level.  My doctoral dissertation involves studying the teaching and learning of rings, integral domains, and fields.  If you are interested in more details, here is a submitted paper to appear in the Proceedings of the 15th Conference on Research in Undergraduate Mathematics Education

My other mathematical interests include algebraic number theory, the representation theory of finite groups, and sabermetrics (the statistical analysis of baseball).   To see a list of my graduate coursework, click here.



Professional Documents:  Curriculum Vitae    Research Statement    Teaching Statement


Research Seminar Talks

Trees and Amalgams of Groups Student Topology Seminar                                          
February 2009
PDF
Sums of Squares and Minkowski's Theorem                                         
Student Algebra Seminar March
2009

Statistics, Sports, and Expected Values of the Weibull Distribution
Applied Mathematics Seminar
  April    2009
PDF
Methods for Calculating Integral Bases                                          
Student Algebra Seminar
February 2010
PDF
The Basic Theory of Binary Quadratic Forms                                                  
Student Algebra Seminar
April
2010
PDF
Dirichlet’s Mass Formula for Binary Quadratic Forms
Dr. Martin's Spring 2010 Number Theory II Class
April
2010
PDF
Heuristics of Realistic Mathematics Education: Guided Reinvention and Emergent Modeling
RUME Seminar
February 2011

Teaching and Learning Abstract Algebra: A Literature Review
RUME Seminar
March
 2011

A Research Design Supporting the Guided Reinvention of the Definition of Ring
RUME Seminar
April 
2011




Recreational Talks

The following talks were given more in a recreational setting, and all pertain to the use of mathematics to study my favorite sport, baseball.  The talks range from informal introductions to sabermetrics (such as the talk given to the OU Math Club) to fairly theoretical derivations of sabermetric formulas (such as the talk given to the Applied Mathematics Seminar).  In any case, as Sean Crowell said after my Applied Math Seminar talk:  "It's nice to not have to be so serious all the time." 

Modeling Baseball Statistics: A Derivation of James'                   Pythagorean Projection Graduate Student Seminar                                          
October 2008
Powerpoint
Introduction to Sabermetrics and the Mathematics of Baseball                                 
OU Math Club
December 2009
PDF
Mathletics:  Using Linear Regression to Predict ERA                                          Graduate Student Seminar
October 2010




Informational Talks / Panel Discussions

Life as a Graduate Assistant in the Science Disciplines (panelist)    OU McNair Scholars Program -- Fall 2008
Applying to Graduate School for Mathematics (panelist)
OU Math Club -- Spring 2010
Passing the Qualifying Examinations in Algebra, Analysis, and Topology
Graduate Student Seminar -- Spring 2011


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