Elizabeth A. Burroughs, Ph.D.
Professor, Mathematics Education
Department of Mathematical Sciences
Montana State University
PO Box 172400
Bozeman, MT 59717-2400

Office: Wilson 2-210
Phone: (406) 994-3322
Receptionist: (406) 994-3601
Fax: (406) 994-1789

Research and Projects

I am now accepting applications for doctoral students interested in earning a Ph.D. in Mathematics with research in Mathematics Education. I will sponsor research projects in areas related to my ongoing research, including mathematical modeling in elementary grades, content preparation of secondary mathematics teachers, gender issues in mathematics education, informal mathematics education, and mathematics coaching, .


Courses Taught

  • M 135: Mathematics for K-8 Teachers I (replaced by M 132 and M 234)
  • M 328: Higher Mathematics for Secondary Teachers
  • M 329: Modern Geometry
  • M 428: Modeling for Teachers
  • EDU 497R: Methods of Teaching 5 - 8 Mathematics
  • EDU 497: Methods of Teaching 9-12 Mathematics
  • M 424: Algebraic Thinking and Number Sense in the Middle Grades
  • M 520: Standards-based Mathematics
  • M 524: Linear Algebra for Teachers
  • M 528: Curriculum Design in Mathematics
  • M 588: Professional Development in Mathematics
Looking for course materials? Use the course D2L page.

Requesting a Letter of Reference?

  • Use this link to request a letter of reference: Request



    Ph.D. (Mathematics), Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, 2003
    Dissertation: Convection in a Closed-Loop Thermosyphon: Bifurcation and Stability Analysis

    MA(Mathematics), Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, 1999

    Teaching Certificate , Post-Baccalaureate Education Program, Kennesaw State University, Atlanta, GA, 1995

    BA (Mathematics and English), University of North Carolina, Chapel Hill, NC, 1992


  • Yopp, David, Burroughs, Elizabeth A., Barlow, Angela, and Sutton, John. (Accepted 2014). Using video to assess coaching knowledge. Journal of Mathematics and Science: Collaborative Explorations

  • Yopp, David, Barlow, Angela, Sutton, John, and Burroughs, Elizabeth A. (Accepted 2014). Using participant responses to video of coaching practice to focus mathematics coaching programs. Journal of Mathematics Education Leadership.

  • Barlow, Angela, Burroughs, Elizabeth A., Harmon, Shannon, Sutton, John, and Yopp, David. (2014) Assessing views of coaching via a video-based tool. ZDM: The International Journal on Mathematics Education, 46(2), 227-238. Link to article

  • Deshler, Jessica and Burroughs, Elizabeth A. (2013). Teaching mathematics with women in mind. Notices of the American Mathematical Society (October) 60(9), 1156-1163. Link to article

  • Burroughs, Elizabeth A. and Deshler, Jessica (2013). Gender bias? College Mathematics Journal, 44(2), 88.

  • Watts, Christina M., Cao, Jing, Panza, Christopher, Dugaw, Christopher, Colwell, Mark, and Burroughs, Elizabeth A. (2012) A discrete time stochastic model for the population of the Western Snowy Plover. Natural Resource Modeling. Link to article

  • Sutton, John, Burroughs, Elizabeth A. and Yopp, David (2011). Coaching knowledge: Domains and definitions. Journal of Mathematics Education Leadership. Vol. 13 (2), pp. 12-20. Link to article

  • Yopp, David, Burroughs, Elizabeth A., and Lindaman, Brian (2011). Why it is important for in-service elementary teachers to understand the equality 0.999...=1. Journal of Mathematical Behavior. Vol. 30 (4), pp. 304-318. Link to article

  • Yopp, David, Burroughs, Elizabeth A., Luebeck, Jennifer, Heidema, Clare, Mitchell, Arlene, and Sutton, John (2011). How to be a wise consumer of coaching: Strategies teachers can use to maximize coaching's benefits. Journal of Staff Development, 32(1), pp 50-53.

  • Burroughs, Elizabeth and Yopp, David (2010) . Pre-service mathematics teachers' understanding of repeating decimal concepts, Investigations in Mathematics Learning, Vol 3(1), pp. 23-42.

  • Burroughs, Elizabeth and Luebeck, Jennifer (2010). Including pre-service teachers in mathematics lesson study, The Montana Mathematics Enthusiast, Vol 7 (3), pp. 391 - 400.

  • Burke, Maurice and Burroughs, Elizabeth. Using CAS to explore historical problems, Mathematics Teacher, 2009.

  • Burroughs, Elizabeth and Evans, Tyler. The Chinese Remainder Theorem, Mathematics Teaching in the Middle School, 2009.

  • Brown, Sharon and Elizabeth Burroughs, Poster Projects: Mathematics in Context, PRIMUS (Problems, Resources, and Issues in Mathematics Undergraduate Studies), Vol 18, Issue 5 (2008), p 475 - 487.

  • Shryock, Kacee A., Sharon L. Brown, Nathan J. Sanders, and Elizabeth Burroughs, A Reaction-Diffusion Equation Modeling the Invasion of the Argentine Ant Population, Linepithema Humile, at Jasper Ridge Biological Preserve, Natural Resource Modeling, Vol 21, No. 2 (2008), p 330-342.

  • Burroughs, Elizabeth, Encouraging Mathematics Teachers as Mathematicians, Mathematics Teacher, Vol 100 (2007), No 7, p 464 - 469.

  • Burroughs, Elizabeth, Evangelos Coutsias, and Louis Romero, A Reduced-order Partial Differential Equation Model for the Flow in a Thermosyphon, Journal of Fluid Mechanics, Vol. 543 (2005) 203 - 237.

  • Salinger, Andrew, Elizabeth Burroughs, Roger Pawlowski, Eric Phipps, and Louis Romero, Bifurcation Tracking Algorithms and Software for Large-Scale Applications, International Journal of Bifurcation and Chaos, Vol. 15, No. 3 (2005) 1015 - 1032.

  • Burroughs, Elizabeth, Louis Romero, Richard Lehoucq, and Andrew Salinger, Linear Stability of Flow in a Differentially Heated Cavity via Large-Scale Eigenvalue Calculations, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 14, No. 6 (2004) 803 - 822.

  • Salinger, Andrew, Nawaf Bou-Rabee, Roger Pawlowski, Edward Wilkes, Elizabeth Burroughs, Richard Lehoucq, and Louis Romero, LOCA 1.0 Library of Continuation Algorithms: Theory and Implementation Manual, Technical Report SAND2002-0396, Sandia National Laboratories, March 2002.

  • Burroughs, Elizabeth, Louis Romero, Richard Lehoucq, and Andrew Salinger, Large-Scale Eigenvalue Calculations for Computing the Stability of Buoyancy Driven Flows, Technical Report SAND2001-0113, Sandia National Laboratories, May 2001.

Research Interests

  • instructional coaching in elementary mathematics classrooms
  • connections between the mathematics pre-service teachers study as undergraduates and the mathematics they will teach to school students
  • developing courses appropriate for pre-service mathematics teacher preparation programs