Assistant
Professor of Mathematics Kutztown
University of Pennsylvania \
116C Lytle Hall, P. O. Box 730, Kutztown University
(610)
683-4403 (voice)
(610)
683-4765 (facsimile)
Education:
Ph.D. 2000
Georgia State University Research, Measurement, and Statistics
M. S. 1985 Auburn University Mathematics (Continua
Theory)
B. S. 1982 Auburn University Mathematics (Summa Cum
Laude)
Professional Experience:
2005 - present Assistant Professor of Mathematics Kutztown University of Pennsylvania
2000 -
2005 Assistant Professor of Mathematics Morehouse College
1988 - 2000 Instructor of Mathematics
Morehouse College
1986 - 1988 Instructor of Mathematics
Tuskegee University
1983 - 1986 Graduate Instructor
Auburn University
1982 - 1983 Graduate Teaching Assistant Auburn
University
Professional Societies and Organisations:
1996 - present
American Educational Research Association
1988 - present American Mathematical Society
1998 - present American Statistical Association
1999 - present Eastern Educational Research Association
1996 - present Georgia Educational Research Association
1988 - present Mathematical Association of America
1996 - present National Council on Measurement in Education
Honour Societies:
Blue Key
FKF
Phi Kappa Phi
PME
Pi Mu Epsilon
FKD
Phi Kappa Delta
FSI
Phi Sigma Iota
SDP
Sigma Delta Pi
AEU
Alpha
Epsilon Upsilon
Research Interests:
Item Response Theory, Approximate Dimensionality of Item Response Spaces,
Raju Curves,
Relative Operating Characteristic Curve Theory, Statistical Measure Theory, etc.
Current Research:
(1) To test the relative efficiency and accuracy of various statistics on the
assessment of approximate unidimensionality in item response
spaces;
(2) to investigate the effect of parameter, sample size, length, etc.
manipulation have on
the Stout-Nandakumar T statistic and the DeChamplain –
Gessaroli c2
statistic;
(3) to establish a statistic for testing differential item functioning for Raju
curves
using the closed signed or unsigned areas; and,
(4) to expand on fundamental unidimensionality which is based of McDonald’s weak
principle of local independence and non-linear factor.
Grants Awarded:
Morehouse College Professional Development Release (Fall, 2001).
Creation of an
e-book for Math 180.
Associated College of the South Grant (Spring, 2002). Creation of a Web
Based Text and Instructional Materials for an
Introductory Principles of Mathematics Course. $ 2,500.00
Morehouse
College Instructional Technology Grant (Spring, 2003). A Continuation of the
Development and Refinement of the Technology-based
portion of the Principles of Mathematics Course. $ 1,500.00
Nabrit Research Grant (2003 – 2004 Academic Year). An investigation of
the comparative utility of the DeChamplain - Gessaroli approximate
c2
statistic and the Stout-Nandakumar T statistic in item response spaces.. $
6,000.00
Papers (all papers are accessible to download for academic use):
Caras, J. G., McCarty, F. A., & McLoughlin, M. P. M. M. (1998, April). IRT estimation of domain scores: A replication and extension of Bock, Thissen, and Zimowski. Paper presented at the annual meeting of the National Council on Measurement in Education, Montréal, Québec. [caras.pdf]
McLoughlin, M. P. M. M. (1998, May). The Descriptive Tests of Mathematical Skills: Predictive Validity for a College Algebra Course for a Population of African-American Males. Paper presented at the May Department of Mathematics Colloquium, Morehouse College.[DTMS paper 1998.pdf]
McLoughlin, M. P. M. M. (1999, November). The Descriptive Tests of Mathematical Skills: Predictive Validity for Freshman College Mathematics Courses. Paper presented at the May Department of Mathematics Colloquium, Morehouse College.[DTMS paper 1999.pdf]
McLoughlin, M. P. M. M. (2000b, October). The effect of non-normal ability distributions on the assessment of approximate unidimensionality in item response spaces. Paper presented at the annual meeting of the Georgia Educational Research Association, Morrow, Georgia. [GERA Paper Dimensionality.pdf]
McLoughlin, M. P. M. M. (2001, February). The effect of type of multidimensional model on the assessment of approximate unidimensionality in item response spaces. Paper presented at the annual meeting of the Eastern Educational Research Association, Hilton Head, South Carolina. [EERA Paper Dimensionality.pdf]
McLoughlin, M. P. M. M. (2002a, August). The Central Role of Proof in the Mathematics Canon: The efficacy of teaching students to create proofs using a fusion of modified Moore, traditional, and reform methods. Paper presented at the annual summer meeting of the Mathematical Association of America, Burlington, Vermont. [MAA Paper Proof.pdf]
McLoughlin, M. P. M. M. (2002b, August). An investigation of the robustness and stability of the DeChamplain - Gessaroli approximate c2 statistic to assess fundamental unidimensionality in item response spaces. Paper presented at the Second International Conference on Neural, Parallel, and Scientific Computations, Atlanta, Georgia. [NPSC Paper Dimensionality.pdf]
McLoughlin, M. P. M. M. (2003a, January). An Inventive Use of the WWW as a teaching and learning tool in mathematics: Structured web materials for courses across the mathematics canon. Paper presented at the annual meeting of the Mathematical Association of America, Baltimore, Maryland. [MAA Paper WWW.pdf]
McLoughlin, M. P. M. M. (2003b, January). Initiating and continuing undergraduate research in mathematics: Using the fusion method of traditional, Moore, and constructivism to encourage, enhance, and establish undergraduate research in mathematics. Paper presented at the annual meeting of the Mathematical Association of America, Baltimore, Maryland. [MAA Paper Research.pdf]
McLoughlin, M. P. M. M. (2003c, January). The fusion method of traditional, Moore, and constructivism and the incorporation of undergraduate research through the mathematics curriculum. . Paper presented at the annual meeting of the Mathematical Association of America, Baltimore, Maryland. [MAA Paper Fusion.pdf]
McLoughlin, M. P. M. M. (2003d, April). The assessment of approximate unidimensionality in item response spaces: An empirical comparison of the utility of several methods. Paper accepted for presentation at the annual meeting of the National Council on Measurement in Education, Chicago, Illinois. [NCME Paper Dimensionality.pdf]
McLoughlin, M. P. M. M. (2004, January). On the nature of mathematical thought and inquiry: A prelusive suggestion. Paper to be presented at the annual meeting of the Mathematical Association of America, Phoenix, Arizona. [MAA Paper Positive Scepticism.pdf]
McLoughlin, M. P. M. M. (2008, January) Crossing the bridge to higher mathematics: Using a modified Moore approach to assist students transitioning to higher mathematics. Paper presented at the annual meeting of the Mathematical Association of America, San Diego, California.. [MAA Paper Bridge.pdf]
McLoughlin, M. P. M. M. (2008, July) Inquiry Based Learning: A modified Moore method approach to encourage student research.
Paper presented at the 11th Annual Legacy of R. L. Moore Conference, Austin, Texas [Moorepaper.pdf]McLoughlin, M. P. M. M. (2008, July) Inquiry Based Learning: A modified Moore method approach to encourage student research.
Paper presented at the 11th Annual Legacy of R. L. Moore Conference, Austin, Texas [Moorepaper.pdf]McLoughlin, M. P. M. M. (2008, August) A modified Moore approach to teaching mathematical statistics." Paper presented at the annual meeting of the American Statistical Association, Denver, Colorado. [ASA Paper Stats.pdf]
McLoughlin, M. P. M. M. & Bluford, D. M. (2004, February). Comparative validity of the Descriptive Tests of Mathematical Skills (DTMS) and SAT - Mathematics (SAT-M) for predicting performance in freshman college mathematics courses. Paper to be presented at the annual meeting of the Eastern Educational Research Association, Clearwater, Florida. [EERA Paper DTMS.pdf]
McLoughlin, M. P. M. M. & McCarty, F. A. (1999, October). Relative operating characteristic curve analysis of measures of diagnostic accuracy for college placement tests in mathematics. Paper presented at the annual meeting of the Georgia Educational Research Association, Morrow, Georgia. [GERA Paper ROC.pdf]
Articles:
McLoughlin, M. P. M. M. (2002). An investigation of the robustness and stability of the DeChamplain - Gessaroli approximate c2 statistic to assess fundamental unidimensionality in item response spaces. Proceedings of Neural, Parallel, and Scientific Computations, 2, 87-90.
Theses:
McLoughlin, M. P.
M. M. (2000). On axiomatic, fundamental, and essential
unidimensionality in incompleat item response spaces.
Dissertation directed by John H. Neel, Ph.D., Georgia State University.
McLoughlin, M. P. M. M. (1985). On indecomposable continua and irreducibility in Moore spaces. Thesis directed by Michel Smith, Ph.D., Auburn University.
Students Theses or Papers Directed by Padraig McLoughlin (chronological order):
Khan, Kevin M. (2000, Fall). On Dedekind Cuts. Paper presented at the annual Mapp Undergraduate Symposium, Atlanta, GA.
Baldeau, Jason D. R. (2001, Fall). On Measurable Sets and Functions. Senior Seminar Department of Mathematics, Morehouse College.
Barrett, Galen R. (2001, Fall). On Metric Spaces and the Hausdorff Metric. Senior Seminar Department of Mathematics, Morehouse College. Paper presented at the annual Mapp Undergraduate Symposium, Atlanta, GA.
Chisolm, Ian Peter (2002, Spring). On Riemann-Stieltjes Integration. Senior Seminar Department of Mathematics, Morehouse College.
McHoney, Hasani Darryl (2002, Fall). On the c2 Distribution and Goodness-of-fit Statistics. Senior Seminar Department of Mathematics, Morehouse College. Paper presented at the annual MathFest Undergraduate Conference of the National Association of Mathematicians, Baton Rouge, LA.
Niles, Norman (2002, Fall). An introduction to, some results from, and applications of Item Response Theory. Senior Seminar Department of Mathematics, Morehouse College.
Ali, Riyadh (2003, Spring). Aspects of Point-Set Topology. Senior Seminar Department of Mathematics, Morehouse College.
Butler, Kwesi (2003, Spring). On Cardinal and Ordinal Transfinite Arithmetic. Senior Seminar Department of Mathematics, Morehouse College.
Bluford, Dontrell (2003, Spring). A prelusive study of the Gamma function. Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.
McHoney, Hasani (2003, Spring). A comparative study of the Pearson Chi-Square and Kolmogorov-Smirnov Goodness of Fit Tests. Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.
Person, Gordon (2003, Spring). A study of the correlation coefficient. Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.
Pittman, Jamaal (2003, Spring). Aspects of moment generating functions. Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.
Elliott, J. Russell (2003, Fall). On Fibonacci numbers and Fibonacciesque numbers. Senior Seminar Department of Mathematics, Morehouse College.
Wilkins, Robert (2003, Fall). A study of simple linear regression. Senior Seminar Department of Mathematics, Morehouse College.
Bluford, Dontrell & Wilkins, Robert (2004, Spring). An analytical and empirical study of the statistical theory of regression. Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.
Rucker, William (2004, Spring). On Several Mathematical Means: Theory and Application.Senior Seminar Department of Mathematics, Morehouse College.
Coln, Anthony (2004, Fall). On the piquant Cantor set. Senior Seminar Department of Mathematics, Morehouse College.
Potts, Jonathan (2004, Fall). On Variance, Covariance, and Correlation. Senior Seminar Department of Mathematics, Morehouse College.
Coln, Anthony (2005, Spring). An extension of a function on the classic Cantor middle third set. Paper presented at the annual Walton Undergraduate Mathematics Symposium, Atlanta, GA.
Jackson, Anthony (2005, Spring). On Cantor’s theory of transfinite arithmetic. Senior Seminar Department of Mathematics, Morehouse College.
Maxwell, Michael (2005, Spring). On generalised logic. Senior Seminar Department of Mathematics, Morehouse College.
Potts, Jonathan (2005, Spring). On the Pearson Product-Moment Correlation: Theory and Application. Paper presented at the annual Mapp Undergraduate Research Symposium, Atlanta, GA.
Howe, Bradley (2007, Spring). On the Trinomial Distribution and Generalisations. Senior Seminar Department of Mathematics, Kutztown University of Pennsylvania.
Krizan, Christopher (2008, Spring). On Cantor numbers and Cantoresque Sets. Senior Seminar Department of Mathematics, Kutztown University of Pennsylvania.
Fichthorn, Samantha (2008, Spring). On Aspects of Dirichlet Random Variables. Honours College Senior Thesis, Kutztown University of Pennsylvania.
Fichthorn, Samantha (2008, Spring). On Aspects of Dirichlet Random Variables. Paper presented at the 9th Annual Undergraduate Research and Creativity Conference, the Higher Education Council of Berks County, Kutztown, Pennsylvania.
Classes Taught by Padraig McLoughlin at Kutztown University:
Mathematics 017 Introduction to Mathematics
Mathematics 103 Fundamentals of Mathematics I (021 Fundamentals of Mathematics I)
Mathematics 104 Fundamentals of Mathematics II (022 Fundamentals of Mathematics II)
Mathematics 106 Trigonometry
Mathematics 171 Calculus I
Mathematics 172 Calculus II
Mathematics 224 Foundations of Higher Mathematics
Mathematics 260 Linear Algebra
Mathematics 301 Probability and Statistics I
Mathematics 302 Probability and Statistics II
Mathematics 512 Foundations of Mathematics
Mathematics 540 Theory of Probability
Mathematics 545 Statistical Inference & Sampling Theory
Classes Taught by Padraig McLoughlin at Morehouse College
(numbering or title prior to 2003 in parentheses):
Mathematics 090 (051) Basic Mathematics Mathematics 100 College Algebra
Mathematics 120 (140) Finite Mathematics Mathematics 142 Applied Finite Mathematics
Mathematics 151 General Mathematics I Mathematics 152 General Mathematics II
Mathematics 153 Pre-calculus I Mathematics 120 (154) Pre-calculus II
Mathematics 130 (155) Basic Statistics Mathematics 180 Principles of Mathematics
Mathematics 161 (251) Calculus I (Analysis I) Mathematics 162 (252) Calculus II (Analysis II)
Mathematics 211 (280) Discrete Mathematics Mathematics 255 Set Theory
Mathematics 271 (272) Linear Algebra
Mathematics 341 (355) Probability and Statistics I Mathematics 342 (356) Probability and Statistics II
Mathematics 361 (353) Real Analysis (Advanced Calculus)
Mathematics 398 Directed Reading
Mathematics 461 (451) Real Variables Mathematics 481 (480) Topology
Mathematics 498 Directed Reading and Research
Classes Taught by Padraig McLoughlin at Tuskegee, Georgia State or Auburn University:
Math 161 (at Auburn University) / Math 207 (at Tuskegee University) Calculus I
Math 162 (at Auburn University) / Math 208 (at Tuskegee University) Calculus II
Math 163 (at Auburn University) Calculus III
Math 281 (at Auburn) Mathematics for Elementary School Teachers
Stats 790 (at Georgia State University) Introduction to Statistical Research
Graduate-Level Courses:
Auburn University:
Mathematics 501 Vector Calculus Mathematics 505 Matrix Theory
Mathematics 520 Real Analysis I Mathematics 521 Real Analysis II
Mathematics 522 Real Analysis III Mathematics 531 Modern Algebra III
Mathematics 537 Advanced Linear Algebra Mathematics 573 Combinatorics
Mathematics 620 Real Analysis I (Measure Theory I)
Mathematics 621 Real Analysis II (Measure Theory II)
Mathematics 631 Modern Algebra (Group and Ring Theory)
Mathematics 632 Modern Algebra (Module Theory)
Mathematics 650 General Topology I Mathematics 651 General Topology II
Mathematics 652 General Topology III Mathematics 653 Dimension Theory
Mathematics 654 Point - Set Topology I Mathematics 655 Point - Set Topology II
Mathematics 656 Point - Set Topology III
Mathematics 691 Directed Reading in Algebra
Mathematics 692 Directed Reading in Analysis
Mathematics 695 Directed Reading in Topology (Homotopy Theory)
Mathematics 695 Directed Reading in Topology (Continua Theory)
Mathematics 698 Directed Reading in Set Theory
Mathematics 699 Research & Thesis
Mathematics 799 Research & Dissertation
Georgia State University:
EDMT 855 Trends & Issues in Mathematics EPS 881 Independent Study in Statisitcs
EPS 982 Methods of Educational Inquiry EPS 9990 Research & Dissertation
EPY 708 Learning & the Learner EPY 808 Learning & Cognition
ERPS 790 Introduction to Research Methods EPRS 850 Ethnographic Methods
EPRS 852 Measurement I EPRS 853 Statistics I
EPRS 854 Statistics II EPRS 855 Statistics III
EPRS 862 (PAUS 8521) Evaluation Research EPSF 877 Educational Philosophy
EPRS 883 Statistical Survey, Sampling, and Questionnaire Design
EPRS 884 Meta-Analysis EPRS 933 Advanced Measure Theory
EPRS 955 Multivariate Analysis Math 647 Statistics
Math 648 Regression and Analysis of Variance Math 651 Math Statistics I
Math 652 Math Statistics II Math 856 Linear Statistical Analysis I
Math 857 Linear Statistical Analysis II Psychology 845 Psychometrics
Service:
Member, Faculty Council, Morehouse College 2003- present
Advisor, Morehouse College Newman Society, 2003 - present
Member, Division of Science and Mathematics Curriculum Committee, Morehouse College 1998- present
Chairman, Department of Mathematics Curriculum Committee, Morehouse College 1998- present
Member, Department of Mathematics Technology Committee, Morehouse College 2000- present
Member, Department of Mathematics Senior Seminar Committee, Morehouse College 2001- present
Co-ordinator, Set Theory, Morehouse College Department of Mathematics, 1997 - present
Co-ordinator, Principles of Mathematics, Morehouse College Department of Mathematics, 1995 - present
Co-ordinator, Probability and Statistics, Morehouse College Department of Mathematics, 1999 - present
Member, Division of Science and Mathematics Search Committee for Chairman Of the Mathematics Department, Morehouse College 2000 - 2001
Member, Faculty Welfare Committee, Morehouse College 1994 - 1996
Chairman, General Working Conditions Subcommittee of the Faculty Welfare Committee, Morehouse, 1995-96
Member, Self-Study Committee, Morehouse College Department of Mathematics, 1995-1998.
With Farouk Brania, George Moeti, Steven Pederson, and
Robert Bozeman proposed, designed, and received approval for
new curriculum for the Department of Mathematics,
Initial term: Fall of 2003
Proposed, designed, and received approval for new course, Finite Mathematics, at Morehouse. Initial term: Fall of 1995
Proposed, designed, and received approval for new course, Applied Finite Mathematics, at Morehouse. Initial term: Spring of 1996
Co-ordinator, General Mathematics Programme, Morehouse College Department of Mathematics, 1991 -97
Editor, The Mathlete (Morehouse College Department of Mathematics Newsletter) 1991 - 1994
President, Auburn University Graduate Student Association, 1984 - 1986
Senator, Auburn University Student Government Association, 1982 - 1983
Director, Auburn University College Bowl, 1981 - 1985
Member, Auburn University Academic Grievance Review Committee, 1985 - 1986
Member, Auburn University Search Committee for Academic Affairs Vice President, 1984
Member, Auburn University Graduate Council, 1984 - 1986
Member, Auburn University International Graduate Teaching Assistant Review Committee, 1985 - 1986
Member, Auburn University Graduate Admissions Committee, 1986
Student Advisees of Padraig McLoughlin Who Went on to Further Study in Mathematics or Related Fields:
Salandy, Dion. Iowa State University.
Khan, Kevin M. Georgia Institute of Technology.
Baldeau, Jason D. R. Clark-Atlanta University, University of Georgia, University of Central Florida
Scott, Nigel. Georgia State University.
Barrett, Galen R. New York University.
Ramsden, Daren. Renssalear Polytechnic Institute.
McHoney, Hasani Darryl Virginia Polytechnic Institute and State University, Clark-Atlanta University.
Dillard, Bernard University of Maryland.
Niles, Norman University of Maryland.
Elliott, J. Russell, California Institute of Technology.
Wittman, Barry, Purdue University. .
Potts, Jonathan Virginia Polytechnic Institute and State University
Jackson, Anthony, University of Michigan.
Last updated: 3 August 2008.