### 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 mechanics*. **Physical 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 eigenvectors*. **ZDM 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 24 ^{th} 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 24 ^{th} 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 24 ^{th} 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 12 ^{th} 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 22 ^{nd} 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 22 ^{nd} 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 20 ^{th} 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 20 ^{th} 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 10^{th} 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 9 ^{th} 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 13 ^{th} 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 13 ^{th} 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 13 ^{th} 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 12 ^{th} 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.]

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