Published scholarly works
NAU's Mathematics and Statistics department publicationsLearn more about the latest publications by faculty and students in the math department.
Publications by year
2015 Accordion Closed
Ernst, D.C. (2010). Non-cancellable elements in type affine C Coxeter groups, Int. Electron. J. Algebra 8.Ernst, D.C. (2010). Non-cancellable elements in type affine C Coxeter groups, Int. Electron. J. Algebra 8.Baumgartel, D., Beal, M., Guerrero, S., Lamb, C., & Sonderegger, D. (2015). Flipping undergraduate finite mathematics: Findings and implications. Problems, Resources, and Issues in Mathematics Undergraduate Studies.
Beaudrie, B.(2015) What is Quantitative Literacy/Quantitative Reasoning/Numeracy? On-Core.
Beaudrie, B., Ernst, D.C., Kennedy, E., & St. Laurent, R.(2015) Inverted Pedagogy in Second Semester Calculus. Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS)
Corritore, C., Ernst, D.C., Hodge, A., & Love, B. (2015). Inquiry-Based Learning and the Flipped Classroom Model. Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS).Ernst, D.C., Hodge, A., & Schultz, A. (2015). Enhancing Proof Writing via Cross-Institutional Peer Review. Problems, Resources, and Issues in Mathematics Undergraduate Studies (PRIMUS), 25(2), 121-130.
2014 Accordion Closed
Beaudrie, B. (2014). Why You Never Win the Lottery. On-Core, Spring 2014, 17-23
Beaudrie, B., Boschmans, B., & Hovermill, J. (2014). Statistical Literacy Requirements for Teachers. Invited Paper in K. Makar, B. de Sousa & R. Gould (Eds), Sustainability in Statistics Education. Proceedings of the Ninth International Conference on Teaching Statistics
Beaudrie, B. & Hovermill, J. (2014). Distance Education of Teachers of Statistics. Contributed Paper in K. Makar, B. de Sousa & R. Gould (Eds), Sustainability in Statistics Education.Proceedings of the Ninth International Conference on Teaching Statistics
Burch, B. (2014). Estimating kurtosis and confidence intervals for the variance under nonnormality. J. Stat. Comput. Simul. 84 (2014), no. 12, 2710–2720.
Crites, T. & Guerrero, S. (2014). There are 10 kinds of people…Arizona Association of Teachers of Mathematics OnCore, 47 - 55.
Graf, A. (2014) A new graceful labeling for pendant graphs. Aequationes Math. 87 (2014), no. 1-2,135–145.
Graf, A. (2014). Graceful labelings of pendant graphs. Rose-Hulman Undergrad. Math J. 15 (2014), no. 1, 157–172.
Guerrero, S. (2014). Teacher change and Project Maths: Implications and Lessons Learned. Irish Mathematics Society Bulletin, 74, 27 – 66
Norris, A. & Sieben, N. (2014) Biased weak polyform achievement games. Discrete Math. Theor. Comput. Sci. 16 (2014), no. 3, 147–172.
Potočnik, P. & Wilson, S. (2014) Linking rings structures and tetravalent semisymmetric graphs.Ars Math. Contemp. 7 (2014), no. 2, 341–352.
Sonderegger, D. & Hannig, J. (2014) Fiducial theory for free-knot splines. Contemporary developments in statistical theory, 155-189.
St. Laurent, R & Turk, P. (2014). Power of a rank-based test for differences between treatment distributions in a randomized complete block design. J. Data Science 12, no. 3, in press.
Zanazzi, J. (2014) A short proof of Klee's theorem. Discrete Math. 314, 14-16.
2013 Accordion Closed
Beaudrie, Brian(2013). Abstracts of Papers presented to the American Mathematical Society. Capstone Project for Statistics in a Liberal Arts Mathematics Course. Vol. 34 (1), pp. 429.
Beaudrie, Brian (2013). Abstracts of Papers presented to the American Mathematical Society. Mathematical Habits of Mind in the "Making the Transition from High School to College" Project. Vol. 34 (1), pp. 388.
Beaudrie, B. & Boschmans, B. (2013). Attitudes Towards Technology use in Mathematics Among Pre-Service K-6 Teachers. In R. McBride & M. Searson (Eds.), Proceedings of Society for Information Technology & Teacher Education International Conference 2013 (pp. 4361-4366).
Beaudrie, Brian, & Boschmans, Barbara (2013). First Semester Experience in a Large Course Redesign. In Przemyslaw Bogacki (Eds.) Electronic Proceedings of the International Conference on Technology in Collegiate Mathematics (pp. 17-27).
Beaudrie, B., Boschmans, B., & Carter, D. (2013). Lessons Learned in Developing a Blended Learning Environment for Mathematics Courses. In T. Bastiaens & G. Marks (Eds.),Proceedings of World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education 2013 (p. 612).
Beaudrie, B., Boschmans, B., & Ernst, D.C. (2013). First Semester Experiences in Implementing a Mathematics Emporium Model. In R. McBride & M. Searson (Eds.), Proceedings of Society for Information Technology & Teacher Education International Conference 2013 (pp. 223-228).
Beaudrie, B., Boschmans, B., & Ernst, D.C. (2013). Redesigning an Algebra for Precalculus Course. In T. Bastiaens & G. Marks (Eds.), Proceedings of World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education 2013(pp. 1047-1055).Baumgartel, D. Guerrero, S., & Zobott, M. (2013). The use of screencasting to transform traditional pedagogy in a preservice mathematics content course. Journal of Computers in Mathematics and Science Teaching 32(2),173-193 .
Crites, T & Guerrero, S. (2013). Technology in an online graduate mathematics education program. Computers in K-20 Mathematics Education. Spec issue of Computers in the Schools, 30(1-2), 191-206.
Katona, G. & Sieben, N. (2013) Bounds on the rubbling and optimal rubbling numbers of graphs. Graphs Combin. 29, no. 3, 535-551.
Martinez, J, & Laird, T. (2013) Trees of Irreducible Numerical Semigroups. Rose-Hulman Undergrad Math Journal. Volume 14, issue 1.
Neuberger, J., Sieben, N., & Swift, J. (2013) Newton's method and symmetry for semilinear elliptic PDE on the cube. SIAM J. Appl. Dyn. Syst. 12, no. 3 1237-1279.
Neuberger, J. M., Neuberger, John W., & Swift, J. A linear conditionn dertermining local or global existence for nonlinear problems. Cent. Erur. J.. Math. 11, no. 8 1361-1374.
St. Laurent, R. & Turk, P. (2013) The effects of misconceptions on the properties of Friedman's test. Comm. Statist.Simulation Comput. 42 no. 7, 1596-1615.
2012 Accordion Closed
Beaudrie, B., & Boschmans, B. (2012). Mathematics Teaching in the Middle School. Transformations and Handheld Technology. Vol. 18, (7), pp. 444-450.
Beaudrie, B., & Tsuya, J. (2012) Who Had the Most to Eat? On-Core, Vol. 1, (1), pp. 6-7.
Boothby, T., Burkert, J., Eichwald, M., Ernst, D.C., Green, R.M., & Macauley, M. (2012). On the Cyclically Fully Commutative Elements of Coxeter Groups. J. Algebraic Combin. 36(1).
Burch, B. (2012) Nonparametric bootstrap confidence intervals for variance components applied to interlaboratory comparisons. J. agric. Biol. Environ. Stat. no. 2, 228-245.
Cohen, D., Denham, G., Falk, M., & Varchenko, A. (2012) Vanishing products of one-forms and critical points of master functions. Arrangements of hyperplanes-Sapporo 2009, 75-107, Adv. Stud. Pure Math., 62
Cohen, D., Falk, M., & Randell, R. (2012)Pure braid groups are not residually free. Configuration spaces, 213-230.
Douglas, I. & Sieben, N. (2012) Edge animal weak (1,2) - achievement games. Integers 12, no. G5, 13.
Ernst, D.C. (2012). Diagram calculus for a type affine C Temperley-Lieb algebra, I. J. Pure Appl. Alg. 216(11).
Falk, M. & Varchenko, A. (2012) The contravariant form on singular vectors of a projective arrangement. Configuration spaces, 255-272.
Fox, B.(2012) Recent Developments in Perfect Bricks with Dimension Higher than 2 x 2. Rose-Hulman Undergrad Math Journal, Volume 13 issue 1.
Guerrero, S. & Palomaa, K. (2012). The addition methods of first-grade children with two-plus addends. Journal of Research in Childhood Education, 26(1), 1 – 17.
Hill, A. & Wilson, S. (2012) Four constructions of highly symmetric tetravalent graphs. J. Graph Theory 71, no. 3, 229-244.
Kovacs, I., Kutnar, K., Marusic, D., & Wilson, S. (2012) Classification of cubic symmetric tricirculants. Electron. J. Combin. no. 2, 24,14.
Lantz, B. & Zowada, M. (2012) An overview of complex Hadamard cubes. Rose-Hulman Undergrad. math J. 13, no. 2, 31-42.
Machacek, J. & Jibin, S. (2012) An interior point method for solving semidefinite programs using cutting planes and weighted analytic centers. J. Appl. Math. 21.
Potocnik, P. & Wilson, S. (2012) On the point-stabiliser in a transitive permutation group. Monatsh. Math. no. 3-4, 497-504.
St. Laurent, R. (2012) Introduction to the theory of statistical inference. J. Amer. Statist. Assoc. 107, no. 498, 849.
Wang, J. & Zhou, W. (2012) A generalized multivariate kurtosis ordering and its applications. J. Multivariate Anal. 107, 169-180.
Wilson, S. (2012), Maniplexes: Part 1: maps, polytopes, symmetry, and operators. Symmetry 4, no. 2, 265-275.
2011 Accordion Closed
Beaudrie, Brian, and Boschmans, Barbara. (2011) Conference Proceedings of the American Mathematical Association of Two-Year Colleges. Developing Quantitative Literacy.
Beaudrie, Brian, Ricard, Emily, et. al. (2011) Abstracts of Papers presented to the American Mathematical Society Quantitative Literacy and the Big Ideas of High School Mathematics. , Vol 32 (1), pp. 305-306.
Burch, B. (2011) Confidence intervals for variance components in unbalanced one -way random effects model using non-normal distributions. J. Statist. Plann. Inference 141 no. 12, 3793-3807.
Burch, B. (2011) Assessing the performance of normal-based and REML-based confidence intervals for the intraclass correlation coefficient. Comput. Statist. Data Anal. 55, no. 2, 1018-1028.
Catalano, D., Conder, M., Du, S., Kwon, Y., Nedela, R., & Wilson, S. (2011) Classification of regular embeddings of n-dimensional cubes. J. Algebraic Combin. 33, no. 2, 215-238.
Cohen, D., Denham, G., Falk M., & Varchenko, A. (2011) Critical points and resonance of hyperplane arrangements. Canad. J. Math. no. 5, 1038-1057.
Englander, J. & Sieben, N. (2011) Critical branching random walk in an IID environment. Monte Carlo Methods Appl. 17, no. 2, 169-193.
Wang, J & Zhou, W. (2011) On the weighted multivariate Wilcoxon rank regression estimate. Statist. Probab. Lett. 81, no. 6, 704-713.
2010 Accordion Closed
Blows, T.R. (2010). Limit cycle configurations of cubic systems. Rocky Mountain Journal of Mathematics 40, 1111-1122. Blows, T.R. & B. Luedeker (2010). Nonlinear Population Models with Adult-Based Density-Dependence. International Journal of Mathematical Modeling, Simulation and Applications, Volume 3, Issue 2, 2010. To appear. Burch, B.D. (2010). Assessing the Performance of Normal-based and REML-basedConfidence Intervals for the Intraclass Correlation Coefficient. Computational Statistics and Data Analysis, 11 pages, article in press. Caron, R.J., Traynor, T., Jibrin, S. (2010). Feasibility and Constraint Analysis of Sets of Linear Matrix Inequalities, Informs Journal on Computing, vol. 22, 144-153. Ernst., D.C. (2010). Non-cancellable elements in type affine C coxeter groups, Int. Electron. J. Algebra 8. Falk, M. (2010). Geometry and combinatorics of resonant weights, in Arrangements, Local Systems, and Singularities, CIMPA Summer School, Galatasaray University, Istanbul, 2007, (F.El Zein, A. Suciu, M.Tosun, M. Uudag, S. Yuzvinsky, eds.), Progress in Mathematics Series 283, 155-176, Birkhauser Ba. Guerrero, S. (2010) The role of teacher thinking in technology-based reform: a multiple case study. Journal of the research Center for Educational Techonology. 6(2), 18-30. Guerrero, S. (2010). Technological pedagogical content knowledge in the mathematics classroom. Journal of Digital Learning in Teacher Education. Guerrero, S. (2010). The guess-and-check method for solving word problems. Mathematics Teaching in the Middle School, 15 (7). Guerrero, S. (2010). Web 2.0 in a preservice math methods course: Teacher candidates’ perceptions and predictions. Proceedings of the 21st Annual Conference for the Society for Information Technology and Teacher Education. San Diego, California. Jibrin, S. (2010). Hit-and-Run Algorithms for Feasibility and Detection of Necessary Linear Matrix Inequalities, International Journal of Numerical Methods and Applications, vol. 3, no. 1, (2010), 1-23. Sieben, N. (2010). A Graph Pebbling Algorithm on Weighted Graphs, Journal of Graph Algorithms and Applications 14, no. 2, 221-244. Sieben, N. & F. Gabor (2010). Polyiamonds and Polyhexes with Minimum Site-perimeter and Achievement Games, Electron. J. Comb. 17, No. 1, Research Paper R65, 14 pgs. Wang, J. & Zhou, W. (2010). A Simulation Study for Some Graphic-Based Multivariate Two Sample Tests. Advances and Applications in Statistics 19 1-19.