Publications

Refereed Journal Publications

Serbin, K.S., & Wawro, M. (accepted). The inextricability of students’ mathematical and physical reasoning in quantum mechanics problems. International Journal of Research in Undergraduate Mathematics Education.

Stewart, S., Axler, S., Beezer, R., Boman, E., Catral, M., Harel, G., McDonald, J., Strong, D., & Wawro, M. (2022). The Linear Algebra Curriculum Study Group (LACSG 2.0) recommendations. Notices of the American Mathematical Society, 69(5), 813-820. https://www.ams.org/notices/202205 [The final publication is available at AMS]

Serbin, K.S., Wawro, M., & Storms, R. (2021). Characterizations of student, instructor, and textbook discourse related to basis and change of basis in quantum mechanicsPhysical Review Physics Education Research, 17, 010140. https://doi.org/10.1103/PhysRevPhysEducRes.17.010140 [The final publication is available at APS]

Robinson, A., Simonetti, J.H., Richardson, K.L., & Wawro, M. (2021). Positive attitudinal shifts and a narrowing gender gap: Do expertlike attitudes correlate to higher learning gains for women in the physics classroom? Physical Review Physics Education Research, 17, 010101. https://doi.org/10.1103/PhysRevPhysEducRes.17.010101 [The final publication is available at APS]

Wawro, M., Watson, K., & Christensen, W. (2020). Students’ metrepresentational competence with matrix notation and Dirac notation in quantum mechanics. Physical Review Physics Education Research, 16, 020112. https://doi.org/10.1103/PhysRevPhysEducRes.16.020112 [The final publication is available at APS]

Serbin, K.S., Sanchez-Robayo, B., Truman, J., Watson, K., & Wawro, M. (2020). Characterizing quantum physics students’ conceptual and procedural knowledge of the characteristic equation. Journal of Mathematical Behavior, 58, 100777. https://doi.org/10.1016/j.jmathb.2020.100777 [The final publication is available at Science Direct]

Wawro, M. (2019). Book review: Proceedings of INDRUM 2018, second conference of the international network for didactic research in university mathematics. International Journal of Research in Undergraduate Mathematics Education, 5(3), 424-429. https://doi.org/10.1007/s40753-019-00103-7 [The final publication is available at Springer]

Wawro, M., Watson, K., & Zandieh, M. (2019). Student understanding of linear combinations of eigenvectorsZDM The International Journal on Mathematics Education. DOI 10.1007/s11858-018-01022-8 [The final publication is available at Springer]

Andrews-Larson, C., Wawro, M., & Zandieh, M. (2017). A hypothetical learning trajectory for conceptualizing matrices as linear transformations. International Journal of Mathematical Education in Science and Technology, 48(6), 809-829. [The final publication is available at Taylor & Francis Online]

Zandieh, M., Wawro, M., & Rasmussen, C. (2017). An example of inquiry in linear algebra: The roles of symbolizing and brokering. PRIMUS, 27(1), 96-124. [The final publication is available at Taylor & Francis Online]

Wawro, M. (2015). Reasoning about solutions in linear algebra: The case of Abraham and the Invertible Matrix Theorem. International Journal of Research in Undergraduate Mathematics Education, 1(3), 315-338. [The final publication is available at Springer Online]

Plaxco, D., & Wawro, M. (2015). Analyzing student understanding in linear algebra through mathematical activity. Journal of Mathematical Behavior, 38, 87-100. [The final publication is available at Science Direct]

Rasmussen, C., Wawro, M. & Zandieh, M. (2015). Examining individual and collective level mathematical progress. Education Studies in Mathematics, 88(2), 259-281. [The final publication is available at Springer Online]

Selinski, N., Rasmussen, C., Wawro, M., & Zandieh, M. (2014). A methodology for using adjacency matrices to analyze the connections students make between concepts: The case of linear algebra. Journal for Research in Mathematics Education, 45(5), 550-583. [The final publication is available on the JRME website]

Wawro, M. (2014). Student reasoning about the invertible matrix theorem in linear algebra. ZDM The International Journal on Mathematics Education, 46(3), 389-406. doi: 10.1007/s11858-014-0579-x [The final publication is available at Springer Online]

Becker, N., Rasmussen, C., Sweeney, G., Wawro, M., Towns, M., & Cole, R. (2013). Reasoning using particulate nature of matter: An example of a sociochemical norm in a university-level physical chemistry class. Chemistry Education Research and Practice, 14, 81-94. doi: 10.1039/C2RP20085F [The final publication is available at RSC Publishing]

Wawro, M., Rasmussen, C., Zandieh, M, Sweeney, G., & Larson, C. (2012). An inquiry-oriented approach to span and linear independence: The case of the Magic Carpet Ride sequence. PRIMUS, 22(7), 1-23. doi:10.1080/10511970.2012.667516 [The final publication is available at Taylor & Francis Online]

Cole, R., Becker, N., Towns, M.,  Sweeney, G., Wawro, M., & Rasmussen, C. (2012). Adapting a methodology from mathematics education research to chemistry education research: Documenting collective activity. International Journal of Science and Mathematics Education, 10, 193-211. dpi: 10.1007/s10763-011-9284-1 [The final publication is available at SpringerLink]

Nemirovsky, R., Rasmussen, C., Sweeney, G., & Wawro, M. (2011). When the classroom floor becomes the complex plane: addition and multiplication as ways of bodily navigation. Journal of the Learning Sciences, 21, 287-323.  [The final publication is available at Taylor & Francis online]

Wawro, M., Sweeney, G., & Rabin, J. M. (2011). Subspace in linear algebra: Investigating students’ concept images and interactions with the formal definition. Educational Studies in Mathematics, 78(1), 1-19. doi: 10.1007/s10649-011-9307-4  [The final publication is available at SpringerLink]

Refereed Book Chapters

Wawro, M., Andrews-Larson, C., Plaxco, D., & Zandieh, M. (in press). Inquiry-Oriented Linear Algebra: Connecting Design-Based Research and Instructional Change Theory in Curriculum Design. Invited chapter in R. Biehler, G. Guedet, M. Liebendörfer, C. Rasmussen, & C. Winsløw (Eds.), Practice-Oriented Research in Tertiary Mathematics Education: New Directions, Springer.

Plaxco, D., & Wawro, M. (2022). Argumentation in the context of tertiary mathematics: A case study of classroom argumentation and the role of instructor moves. In K. Bieda, A.M. Connor, C. Kosko, & M. Staples (Eds.), Conceptions and Consequences of Argumentation, Justification, and Proof (pp. 219-237), Springer. https://doi.org/10.1007/978-3-030-80008-6

Winsløw, C., Biehler, R., Jaworski, B., Rønning, F., & Wawro, M. (2021). Education and professional development of university mathematics teachers. In V. Durand-Guerrier, R. Hochmuth, E. Nardi, & C. Winsløw (Eds.), Research and Development in University Mathematics Education: Overview produced by the International Network for Research on Didactics of University Mathematics (pp. 59-79), Routledge. https://doi.org/10.4324/9780429346859-6

Plaxco, D., Zandieh, M., & Wawro, M. (2018). Stretch directions and stretch factors: A sequence intended to support guided reinvention of eigenvector and eigenvalue. In S. Stewart, C. Andrews-Larson, A. Berman, & M. Zandieh (Eds.), Challenges In Teaching Linear Algebra (pp. 175-192), ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-66811-6_8

Rasmussen, C., & Wawro, M. (2017). Post-calculus research in undergraduate mathematics education. In J. Cai, (Ed.), The compendium for research in mathematics education (pp. 551-579)Reston VA: National Council of Teachers of Mathematics.

Wawro, M. (2016). Finding synergy among research, teaching, and service: An example from mathematics education research. In J. Dewar, P. Hsu, & H. Pollatsek (Eds.), Mathematics Education: A Spectrum of Work in Mathematical Sciences Departments (pp. 135-145)Springer International Publishing. [The final publication is available at Springer.]

Wawro, M., Rasmussen, C., Zandieh, M., & Larson, C. (2013). Design research within undergraduate mathematics education: An example from introductory linear algebra. In T. Plomp, & N. Nieveen (Eds.), Educational design research – Part B: Illustrative cases (pp. 905-925). Enschede, the Netherlands: SLO. https://doi.org/10.1007/978-3-319-44950-0_10

Rasmussen, C., Zandieh, M., & Wawro, M. (2009). How do you know which way the arrows go? The emergence and brokering of a classroom mathematics practice. In W.-M. Roth (Ed.), Mathematical representation at the interface of body and culture (pp. 171-218). Charlotte, NC: Information Age Publishing.

Published Dissertation

Wawro, M. (2011). Individual and collective analyses of the genesis of student reasoning regarding the Invertible Matrix Theorem in linear algebra. Dissertation Abstracts International, 72(11). (Publication No. AAT 3466728).

Papers in Refereed Conference Proceedings

Schermerhorn, B., & Wawro, M. (in press). Students’ conceptual understanding of normalization of vectors from and . In XXXX (Eds.), Proceedings of the 24th conference on research in undergraduate mathematics education. The Special Interest Group of the Mathematical Association of America for Research in Undergraduate Mathematics Education.

Serbin, K. S., & Wawro, M. (in press). Ways that student reasoning about linear algebra concepts can support flexibility in solving quantum mechanics problems. In XXXX (Eds.), Proceedings of the 24th conference on research in undergraduate mathematics education. The Special Interest Group of the Mathematical Association of America for Research in Undergraduate Mathematics Education.

Lee., I., Bettersworth, Z., Zandieh, M., Wawro, M., & Quinlan, I. (in press). Student thinking in an inquiry-oriented approach to teaching least squares. In XXXX (Eds.), Proceedings of the 24th conference on research in undergraduate mathematics education. The Special Interest Group of the Mathematical Association of America for Research in Undergraduate Mathematics Education.

Rasmussen, C., Wawro, M., & Zandieh, M. (in press). Student reinvention of Euler’s method: An integrated analysis of one small group’s individual and collective mathematical progress. In XXXX (Eds.), Proceedings of the 12th congress of European research in mathematics education. ERME.

Serbin, K. S. & Wawro, M. (2021). Students’ understanding of linear algebra concepts underlying a procedure in a quantum mechanics task. In A.I. Sacristán, J.C. Cortés-Zavala, & P.M. Ruiz-Arias (Eds.), Mathematics education across cultures: Proceedings of the 42nd meeting of the North American chapter of the international group for the psychology of mathematics education (pp. 1218-1222). Cinvestav / AMIUTEM / PME-NA. https:/doi.org/10.51272/pmena.42.2020

Wawro, M., Thompson, J., & Watson, K. (2020). Student meanings for eigenequations in mathematics and in quantum mechanics. In S.S. Karunakaran, Z. Reed, & A. Higgins (Eds.), Proceedings of the 23rd annual conference on research in undergraduate mathematics education (pp. 629-636). The Special Interest Group of the Mathematical Association of America for Research in Undergraduate Mathematics Education.

Serbin, K.S., Storms, R., & Wawro, M. (2020). Students’ language about basis and change of basis in a quantum mechanics problem. In S.S. Karunakaran, Z. Reed, & A. Higgins (Eds.), Proceedings of the 23rd annual conference on research in undergraduate mathematics education (pp. 520-528). The Special Interest Group of the Mathematical Association of America for Research in Undergraduate Mathematics Education.

Wawro, M., Watson, K., & Christensen, W. (2019). Student reasoning about eigenvectors and eigenvalues from a Resources perspective. In A. Weinberg, D. Moore-Russo, H. Soto, & M. Wawro (Eds.), Proceedings of the 22nd Annual Conference on Research in Undergraduate Mathematics Education (pp. 654-662), Oklahoma City, OK.

Serbin, K., Sanchez-Robayo, B., Watson, K., Truman, J., Jiang, S., & Wawro, M. (2019). Characterizing conceptual and procedural knowledge of the characteristic equation. In A. Weinberg, D. Moore-Russo, H. Soto, & M. Wawro (Eds.), Proceedings of the 22nd Annual Conference on Research in Undergraduate Mathematics Education (pp. 541-548), Oklahoma City, OK.

Wawro, M., Zandieh, M., & Watson, K. (2018). Delineating aspects of understanding eigentheory through assessment development. In V. Durand-Guerrier, R. Hochmuth, S. Goodchild, & N.M. Hogstad (Eds.), Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018) (pp. 275-284), Kristiansand, Norway: University of Agder and INDRUM.

Wawro, M., Watson, K., & Christensen, W. (2017). Meta-representational competence with linear algebra in quantum mechanics. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, and S. Brown (Eds.), Proceedings of the 20th Annual Conference on Research in Undergraduate Mathematics Education (pp. 326-337), San Diego, CA.

Watson, K., Wawro, M., Zandieh, M., & Kerrigan, S. (2017). Knowledge about student understanding of eigentheory: Information gained from multiple choice extended assessment. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, and S. Brown (Eds.), Proceedings of the 20th Annual Conference on Research in Undergraduate Mathematics Education (pp. 311-325), San Diego, CA.

Wawro, M., Watson, K., & Christensen, W. (2017). Meta-representational competence with linear algebra in quantum mechanics. Paper presented at the 10th Congress of European Research in Mathematics Education, Dublin, Ireland. In T. Dooley & G. Gueudet, (Eds.), Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (pp. 2282-2289), Dublin, Ireland: DCU Institute of Education and ERME.

Jaworski, B., Potari, D., Rasmussen, C., Oates, G., Kwon, O.N., Ellis, J., … Zachariades, T. (2016). Mathematics Learning and Teaching at University Level. In Csíkos, C., Rausch, A., & Szitányi, J. (Eds.), Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1, pp. 375–404. Szeged, Hungary: PME.

Wawro, M., & Plaxco, D. (2015). Student understanding of linear independence of functions. Proceedings of the 9th Congress of European Research on Mathematics Education, Prague, Czech Republic. In K. Krainer, N. Vondrová (Eds.), Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (CERME9, 4-8 February 2015) (pp. 2297-2298). Prague, Czech Republic: Charles University in Prague, Faculty of Education and ERME.

Wawro, M., & Plaxco, P. (2013). Utilizing types of mathematical activities to facilitate characterizing student understanding of span and linear independence. In (Eds.) S. Brown, G. Karakok, K. H. Roh, and M. Oehrtman, Proceedings of the 16th Annual Conference on Research in Undergraduate Mathematics Education, Volume I (pp. 1-15), Denver, Colorado. [click here to download pdf]

Wawro, M., Larson, C., Zandieh, M., & Rasmussen, C. (2012). A hypothetical collective progression for conceptualizing matrices as linear transformations. In S. Brown, S. Larsen, K. Marrongelle, and M. Oehrtman (Eds.), Proceedings of the 15th Annual Conference on Research in Undergraduate Mathematics Education (pp. 1-465 – 1-479), Portland, OR. [click here to download authors’ pdf]

Rasmussen, C., Trigueros, M., Zandieh, M., Possani Espinosa, E., Wawro, M, Sweeney, G., et al. (2010). Building on students’ current ways of reasoning to develop more formal or conventional ways of reasoning: The case of linear algebra. In P. Brosnan, D. B. Erchick, & L. Flevares (Eds.), Proceedings of the 32nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1577-1587). Columbus, OH: The Ohio State University.

Rasmussen, C., Zandieh, M., & Wawro, M. (2010). Brokering as a mechanism for the social production of meaning.In Brosnan, P., Erchick, D. B., & Flevares, L. (Eds.), Proceedings of the 32nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 427-434). Columbus, OH: The Ohio State University.

Schwarz , B., Hershkowitz, R., Atzmon, S., Rasmussen, C., Stahl, G., Wawro, M., et al. (2010). Symposium: Social construction of mathematical meaning through collaboration and argumentation. In K. Gomez, L. Lyons, & J. Radinsky (Eds.), Learning in the Disciplines: Proceedings of the 9th International Conference of the Learning Sciences (ICLS 2010) – Volume 2, Short Papers, Symposia, and Selected Abstracts (pp. 29-36). International Society of the Learning Sciences: Chicago IL.

Cole, R., Towns, M., Rasmussen, C., Becker, N., Wawro, M., & Sweeney, G. (2010). Adapting a methodology for documenting collective growth to an undergraduate physical chemistry class. Proceedings of the 13th Annual Conference on Research in Undergraduate Mathematics Education, Raleigh, NC. [click here to download pdf]

Henderson, F., Rasmussen, C., Sweeney, G., Wawro, M, & Zandieh, M. (2010). Symbol sense in linear algebra. Proceedings of the 13th Annual Conference on Research in Undergraduate Mathematics Education, Raleigh, NC. [click here to download pdf]

Wawro, M., Sweeney, G., & Rabin, J. M. (2010). Subspace in linear algebra: Investigating students’ concept images and interactions with the formal definition. Proceedings of the 13th Annual Conference on Research in Undergraduate Mathematics Education, Raleigh, NC. [click here to download pdf]

Wawro, M. (2009). Task design: Towards promoting a geometric conceptualization of linear transformation and change of basis. Proceedings of the 12th Annual Conference on Research in Undergraduate Mathematics Education, Raleigh, NC. [click here to download pdf]

Other Papers

Trigueros, M., & Wawro, M. (in press). Linear Algebra Teaching and Learning. In S. Lerman (Ed.), Encyclopedia of Mathematics Education. Springer, Cham. [The final publication is available here on SpringerLink.]

Wawro, M., Ellis, J., & Soto-Johnson, H. (2014). MPWR: Mentoring and partnerships for women in RUME. Association for Women in Mathematics Newsletter, 44(5), 20-23. [The final publication is available on the AWM website.]