Heidi Burgiel


Ed.M. in Technology, Innovation, Education, May 2017.
Harvard Graduate School of Education, Cambridge, MA.

Ph.D. in Mathematics, August 1995.
University of Washington, Seattle, WA.
Thesis title: Realizations of Regular Maps.

B.S. in Mathematics, June 1990.
Massachusetts Institute of Technology, Cambridge, MA.

Artificial Languages: Logo, Python, HTML, LaTeX
Operating Systems: Windows, iOS, Unix
Software: Microsoft Office, Maple, The Geometer's Sketchpad, Graphmatica

Adjunct Faculty, University of Massachusetts Lowell, Lowell, MA, September 2017-Present.
Part-time employee, HarvardX, Cambridge, MA, May 2017-Present.
Intern, Harvard-Smithsonian Center for Astrophysics, Cambridge, MA, September 2016-May 2017.
Full Professor, Bridgewater State University, Bridgewater, MA, September 2014 - August 2016.
Associate Professor, Bridgewater State University, Bridgewater, MA, 2009 - 2014.
Temporary Employment, MIT, Summer 2012, 2013. (Revisions of sabbatical work.)
Assistant Professor, Bridgewater State College, Bridgewater, MA, September 2003 - 2009.
Visiting Scientist, MIT, June 2010-July 2011. (Sabbatical appointment.)
Program Presenter, Museum of Science, Boston, MA, June 2003 - September 2003.
Lecturer, Boston University, Boston, MA, January 2003 - May 2003.
Intern, Museum of Science, Boston, MA, November 2002 - May 2003.
Quality Assurance of MIT OpenCourseWare class sites, The Otter Group, Cambridge, MA, November 2002 - December 2002.
Quality Assurance of K - 8 online mathematics materials, Classwell Learning Group, Boston, MA, July 2002 - December 2002.
Temporary Employment, Harvard University, Cambridge, MA, January 2002 - May 2002.
Systems Administrator and Educational Technology instructor, University of Illinois, Chicago, IL July 1997 - October 2001.
Post-Doctoral Fellow, The Geometry Center, Minneapolis, MN, September 1995 - June 1997.
Teaching Assistant, IAS/Park City Math Institute (formerly Park City RGI), Park City, UT, Summer 1993, 1994, 1995.
Graduate Assistant, University of Washington, Seattle, WA, September 1993 - June 1995.
Instructor, University of Washington, Seattle, WA, Fall 1994. "Geometry for Teachers" computer lab.
Teaching Assistant, University of Washington, Seattle, WA, 1990 - 1994.
Undergraduate Research Opportunities, MIT Media Lab, Cambridge, MA, 1989 - 1990.

Calculus 1A, Fall 2017.
Mathematics for Elementary Teachers III, Fall 2012.
Attended Future of Learning professional education program, Summer 2012, Harvard Graduate School of Education.
Mathematics for Elementary Teachers II, Spring 2012-2016, Fall 2013, 2014.
Mathematics for Elementary Teachers I, Fall 2011, 2013.
Attended Critical Issues in Mathematics Education 2011: Mathematical Education of Teachers workshop at the Mathematical Sciences Research Institute in Berkeley, CA, Spring 2011.
Foundations of Modern Geometry, Spring 2010, 2015, 2016, Fall 2014, 2015.
Abstract Algebra, Spring 2008.
Discrete Mathematics I, Fall 2007.
Programming and Computer Algebra, Fall 2007-2009, 2011-2013, 2015, Spring 2009-2010, 2012-2014.
Attended MAA PREP Revitalizing your Developmental Mathematics Courses, Summer 2006, U.C. Berkeley.
Quantitative Methods for Management, Spring 2006, 2008, 2009, 2012, 2013 Summer 2008, 2009, Fall 2011, 2012.
Elements of Calculus II, Summer 2005.
Topics in Geometry, Fall 2004.
Selected Topics in Mathematics, Spring 2004, 2005, 2007.
Strategies for Teaching Mathematics, Fall 2003-2006.
Precalculus, Fall 2003, 2005, 2006, 2008, Summer 2004, 2006, Spring 2006, 2007.
Intern/Program Presenter, Cahners ComputerPlace, Boston Museum of Science, Winter 2002 - Summer 2003, Summer 2004
Lecturer, Boston University, Spring 2003.
Computer lab director for Math/Science Projects for High School Students, Summer 2001.
Methods of Structured Programming, Spring 1999, 2001.
Microcomputers in Elementary School Mathematics, Fall 1998.
Computer lab director for Calculus III, Summer 1998 - Spring 2000
Computer lab director for Projective Geometry, Spring 2000, Spring 1998.
Teaching assistant for University of Minnesota Calculus Initiative, 1995--1996
Technology in the Geometry Classroom, Summer 1996, Spring 1997


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.

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".