Publications
Books and Chapters
H. Burgiel, C. Lieberman, H.R. Miller, K. Willcox. "Interactive Applets in Calculus and Engineering Courses", Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software, edited by S. Habre. IGI Global, 2013.
H. Burgiel, J.H. Conway and C. Goodman-Strauss. The Symmetries
of Things. A.K. Peters, 2008. (Errata)
Refereed Articles
H. Burgiel, P. Sadler, and G. Sonnert. "Supporting Success in
Computer Science: The Role of Secondary School Activities (working
title)". In preparation.
H. Burgiel and V. Oussa. "Strictly Convex Deltahedra". In preparation for submission to The College Mathematics Journal.
H. Burgiel and V. Oussa. "Gabor Orthonormal Bases Generated by
indicator functions of Parallelepiped-Shaped sets". Accepted for
publication in Advances in Pure and Applied Mathematics.
H. Burgiel and M. El-Hashash. "Open questions on Tantrix
graphs." The Mathematical Gazette 101, no. 550 (2017): 83-89.
M. Person et. al. "Constraint on the Size of KBO (50000) Quaoar from a Single Chord Occultation", Icarus, re-submitted after revision on 2/8/13.
H. Burgiel and M. Salomone. "Logarithmic Spirals and Projective Geometry in M.C. Escher's "Path of Life III"", Journal of Humanistic Mathematics, Vol
2, no. 1, January 2012.
H. Burgiel, W. Heilman. "Why Teach Transformations of
Graphs?" MathAMATYC Educator, August 2010.
H. Burgiel, M. El-Hashash. "The permutahedron πn is
Hamiltonian." Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 1, pp. 31 - 39.
H. Burgiel, M. El-Hashash, A. Hassan. "On the Hamiltonicity of the
Permutahedron." Congr. Numerantium 189, 145-160 (2008).
D. AuCoin, E. Bukowiecki, S. Miskelly, et. al. "A Center for Academic Achievement: How Innovative Collaborations Between Faculty and Learning Center Administrators Built Model, Credit-Bearing, First-Year Courses with Embedded Support for At-Risk Students." International Journal of Learning, 15(11), 65-77 (2009).
H. Burgiel, D. Franzblau, and K. R. Gutschera. "The Mystery
of the Linked Triangles." Mathematics Magazine, April 1996.
H. Burgiel. "Toroidal Skew Polyhedra." Symmetry: Culture and
Science, Volume 6, Number 1, 1995.
H. Burgiel and D. Stanton. "Realizations of Regular Abstract
Polyhedra of Types {3,6} and {6,3}." Special issue of Discrete and
Computational Geometry, 2000.
H. Burgiel and V. Reiner. "Two Signed Associahedra."
New
York Journal of Mathematics, volume 4, 1998.
H. Burgiel. "How to Lose at Tetris." Mathematical Gazette,
July 1997.
Other Publications
H. Burgiel. Review of Creating Symmetry: The Artful Mathematics of Wallpaper Patterns. The College Mathematics Journal, Volume 46, Issue 3. May 2016.
H. Burgiel. "Hyperbolic Afghan, {3, 7}". Ravelry.com, November 2015.
H. Burgiel. Review of Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist.
Association of Women in Mathematics Newsletter, Summer 2015.
H. Burgiel. "Unit Origami: Star-Building on Deltahedra", Proceedings of Bridges Baltimore 2015: Mathematics, Music, Art, Architecture, Culture, edited by K. Delp, C. Kaplan, D. McKenna, R. Sarhangi. Tessellations Publishing, Phoenix, Arizona, 2015.
H. Burgiel, "A Question on Graphs Formed by
'Stitching'", Pi Mu Epsilon journal, Fall 2013.
H. Burgiel. Review of Crafting by Concepts: Fiber Arts and Mathematics.
Association of Women in Mathematics Newsletter, Vol 43, no. 1, Jan-Feb 2013.
A. Mattuck et. al. OCW Scholar Differential Equations. MIT OpenCourseWare, February 2012.
G. Strang et. al. OCW Scholar Linear Algebra. MIT OpenCourseWare, January 2012.
D. Jerison et. al. OCW Scholar Single Variable Calculus. MIT OpenCourseWare, January 2011.
D. Auroux et. al. OCW Scholar Multivariable Calculus. MIT OpenCourseware, January 2011.
J. Bowen, H. Burgiel. "Notation
for Symmetric Images", Bridgewater Review, Vol. 29, no. 1, June 2010.
H. Burgiel. Review of Origami Tessellations: Awe-Inspiring
Geometric Designs. Mathematics Teacher magazine, October 2009.
Various articles in The Newsletter of
the BSC Mathematics and Computer Science Department, 2008-2016.
Various articles in the Digital
Bridges Newsletter, Bridgewater State College, 2008-2009.
H. Burgiel. Review of The interactive Geometry Software
Cinderella. The American Mathematical Monthly, volume
107, 2000.
H. Burgiel and E. Sander. Technology
in the Geometry Classroom.
The Geometry Center, August 1996.
Honors and Awards
Final grade of 99% in MITx-6.00.1x "Introduction to Computer Science and Programming using Python".
Faculty Librarian Research Grant supporting two semesters work on "Negative Curvature in Crochet and Clay", Fall 2014.
Invited to attend "The Mathematics of Klee & Grünbaum" conference, Seattle, WA, July 2010.
CART Summer Grant supporting "A Mathematical Study of M.C. Escher's Path of Life III". August 2010.
E. Bukowiecki, H. Burgiel, K. Evans, R. Farrar, S. Miskelly and J. Stakhnevich.
Presidential Award for Excellence in Collaboration to Improve Teaching.
For support for First-Year Students submitted by the faculty directors of learning assistance in the Academic Achievement Center.
April, 2008.
2006 Faculty-Librarian Presidential Grant supporting precalculus course development.
Service
Department of Mathematics 5-year Program Review, joint work with
Shannon Lockard, Spring 2016.
Center for the Advancement of Research and Scholarship Advisory Board
member, 2014-2016.
BSU Quantitative Reasoning Student Learning Outcomes Working Group, Fall 2015.
BSU Blackboard 9 Project Pedagogy Team, Fall 2014.
BSU MSCA LMS Selection Committee, Chair, Spring 2014.
BSU Education Technology Committee, 2013-2014.
MATH 105 Learning Outcomes Working Group, 2013-2014.
GLBTA Pride Center Camp Pride Scholarship Committee, Spring 2013.
Differentiated Math Major Working Group, 2012-2013.
Math Program Assessment Committee, 2011-2103, 2015-2016. Chair: 2011-2012.
Math Faculty Mentorship Coordinator, 2011-2013, 2015-2016.
Department Website Committee, 2012-2014, 2015-2016.
Developmental Math Committee, Spring 2012-Fall 2012.
Principle Investigator, NSF MSP Proposal, Spring 2012.
Peer Evaluation Committee, Fall 2011, 2012. Chair: Fall 2012.
Math and Computer Science Core Curriculum Committee, 2009-2010.
Committee on Mission/Vision Statements for the School of Science and Mathematics, 2009.
Supported Software Working Group, 2009.
Math/CompSci Newsletter 2008-2010, 2011-2016. Editor: 2011-2012, 2013-2014.
Intellectual Property Rights group, 2008-2010.
Faculty Development Leadership Group, 2008-2010.
Assessment Council, 2008-2010, 2013-2016.
Assessment Guidebook Update subcommittee, 2008-2009.
Title III grant proposal, 2008-2009.
ADVANCE grant proposal, 2007-2009.
Technology Fellow, 2008-2010.
Diversity Council, 2006-2008.
Hiring Committee, Department of Mathematics and Computer Science, 2005-2010. Chair: 2006-2007, 2009-2010.
Cahners Computer Place Advisory Board, Boston Museum of Science, 2005-2008.
NCATE Technology Committee, 2004-2007.
Director of Mathematics Services, 2003-2008.
Educational Technology Advisory Committee, 2003-2005.
Technology Committee, Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 1997-2001.
Selected Presentations
Harvard-Smithsonian
Center for
Astrophysics Science
Education Department Seminar, Cambridge, MA, April 2017.
"Supporting
Success in College Comuter Science: A Factor Analysis of Secondary
School Activities".
Joint Mathematics Meetings, Seattle, WA, January 2016. "Hyperbolic Afghan {3, 7}".
Joint Mathematics Meetings, Seattle, WA, January 2016. "Application of Doily Design to Hyperbolic Crochet".
Bridges, Baltimore, MD, July 2015. "Unit Origami: Star Building on Deltahedra" (Workshop).
Joint Mathematics Meetings, San Antonio, TX, January 2015. "Motivating Math with Unit Origami".
Joint Mathematics Meetings, Baltimore, MD, January 2014. "Shapes (and Rates) of Vases".
CARS Celebration XVII, May 2013. "A Scholarship of Teaching and Learning Faculty and Professional Learning Community (SoTL FPLC): Insights, Outcomes and Future Directions", panel presentation.
CARS Celebration XVII, May 2013. "Shapes of Vases", poster. Joint with Polina Sabinin.
Northeastern Section/Mathematics Association of America Fall 2012 Section Meeting. "Open Problems for (Undergraduate?) Research".
Invited panelist at MIT's Path of Professorship workshop. October 26, 2012.
CARS Celebration XVI, May 2012. "The Mathematics of M.C. Escher's Path of Life III". Joint with Matthew Salomone.
Fields Institute, October 2011. "A Family of Unsatisfying Graphs".
Smith College Lunch Time Lecture Series, November 2010. "Tantrix and the Permutahedron".
MAA Mathfest, August 2010. "Tantrix and the Permutahedron".
CART Celebration XIV, May 2010. Panel moderator: "Adding Assessment to Your Portfolio".
CART Celebration XIII, May 2009. Panel member and organizer: "Symmetry at BSC".
Math for America, New York, NY, August 2008. "Seeing
Symmetries".
CART Celebration XII, May 2008. Panel moderator: "Adventures in Online Assessment".
CART Celebration XII, May 2008. Co-organized panel: "Assessment: What are We Doing and Does it Work?"
Joint Mathematics Meetings, San Diego, CA, January 2008. "Why Teach Transformations of Graphs?"
National Association for Developmental Education, Boston, MA, February 2008. Poster presentation: "Intentionally Structured Support for Students in Entry Level Courses" with Elaine Bukowiecki and Ruth Farrar.
CART Celebration X, May 2006. Poster presentation: "Writing in Math, Assessment".
National Academic Advising Association Northeast Regional Conference, Providence, RI, March 2006. Panel presentation: "Faculty Collaboration to 'Insure' Success in a First-Year Program".
Conference on Teaching for Transformation, University of Massachusetts Boston, January 2006. Panel presentation: "Faculty Collaboration in the Incremental Transformation of a First-Year Program."
Polytopes Day in Calgary, University of Calgary, May 2005.
"Signed Associahedra".
Bridgewater State, Stonehill and Wheaton Colleges' Mathematics Colloquim, October 2003.
"Naming Patterns".
AMS Special Session on Discrete and Applied Geometry, Toronto, Canada, September 2000.
"Colored Frieze Patterns".
Symmetry in Graphs, Maps and Complexes, July 1998.
"Realizations of Regular Abstract Polyhedra of Types
{3,6} and {6,3}".
Formal Power Series and Algebraic Combinatorics, June
1998. "Realizations of Regular Abstract Polyhedra of Types
{3,6} and {6,3}".
Mathematics Education Reform Session, San Diego Joint Mathematics Meetings, January
1997. "Using Technology to Teach Geometry".
AMS Session on Geometry, San Diego Joint Mathematics
Meetings, January 1997. "Combinatorial Algebraic Methods for
Symmetric Embedding of Triangulated Tori".
Exploring
Undergraduate Algebra and Geometry with Technology, June
1996, "Web Publishing for
Teachers".
Meeting of the Intermountain Section of the MAA,
April 1995. Panel Discussion: "The IAS/Park City Mathematics
Institute".
AMS/MAA Mathfest, MN, August 1994. "How to Lose at
Tetris".
Five Colleges Regional Geometry Institute, July 1993.
"How to Lose at Tetris".