Publications

I publish primarily articles in mathematics education and engineering education with a focus on student learning and analysis of students’ work from a models and modeling perspective.

All publications are arranged chronologically.

Publications with current and former graduate students are noted by * after their name.

Peer-reviewed Journal Articles:

Hjalmarson, M. A. (in press). Learning to teach math specialists in a synchronous online course: A Self-study. Journal for Mathematics Teacher Education.

Diefes-Dux, H. A., Hjalmarson, M. A., & Zawojewski, J. (2013). Student team solutions to an open-ended mathematical modeling problem: Gaining insights for educational improvement, Journal of Engineering Education, 102(1), 179-216.

Smith, T. M. & Hjalmarson, M. A. (2013). Eliciting and developing teachers’ conceptions of random processes in a probability and statistics course. Mathematics Thinking and Learning, 15(1), 58-82.

Diefes-Dux, H. A., Zawojewski, J. S., Hjalmarson, M. A., & Cardella, M. E. (2012). A framework for analyzing feedback in a formative assessment system for mathematical modeling problems, Journal of Engineering Education, 101(2), 375-404.

Hjalmarson, M. A., Moore, T. J., and delMas, R. (2011). Statistical analysis when the data is an image: Eliciting student thinking about sampling and variability, Statistics Education Research Journal, 10(1), 15-34.

Diefes-Dux, H. A., Zawojewski, J. S., & Hjalmarson, M. A. (2010). Designing research-based evaluation tools for open-ended problems. International Journal of Engineering Education, 26(4), 807-819.

Moore, T. J. & Hjalmarson, M. A. (2010). Developing measures of roughness: Using problem solving as a method to document student thinking. International Journal of Engineering Education, 26(4), 820-830.

Hjalmarson, M. (2008). Mathematics curriculum systems: Models for analysis of curricular innovation and development, Peabody Journal for Education, 83(4), 592-610.

Hjalmarson, M., & Diefes-Dux, H. (2008). Teacher as designer: A framework for teacher analysis of mathematical model-eliciting activities. Interdisciplinary Journal of Problem-based Learning, 2(1), 57-78.

Hjalmarson, M. (2007). Engineering students designing a statistical procedure. Journal of Mathematical Behavior, 26(2), 178-188.

Diefes-Dux, H. A., Hjalmarson, M., Bowman, K, & Zawojewski, J. S. (2006). Quantifying aluminum crystal size part 1: The model-eliciting activity. Journal of STEM Education, 7(1&2), 51-63.

Hjalmarson, M. A., Diefes-Dux, H. A., Bowman, K., & Zawojewski, J. S. (2006). Quantifying aluminum crystal size part 2: The model-development sequence. Journal of STEM Education, 7(1&2), 64-73.

Lesh, R., Doerr, H. M., Carmona, G., & Hjalmarson, M. (2003). Beyond constructivism. Mathematical Thinking and Learning, 5(2,3), 211-234.

 

Peer-Reviewed Monographs:

 

Hjalmarson, M. & Suh, J. (2008). Developing mathematical pedagogical knowledge by evaluating instructional materials. In F. Arbaugh & M. Taylor (Eds.), Association for Mathematics Teacher Education monograph V: Inquiry into mathematics teacher education (pp. 97-108). San Diego, CA: AMTE.

 

Invited Book Chapters & Proceedings Chapters:

 

Hjalmarson, M. (2014). STEM Education 2025: A vision for knowledge and teaching K-16. Developing a bold vision for STEM teaching and learning to prepare students for success in 2025. Washington, DC: American Institutes for Research.

Hjalmarson, M. (2013). Principles for design-based teacher learning and development. In L. Carmona (Ed.), First International Symposium for Campus Viviente Proceedings. San Antonio: University of San Antonio.

Frazier, W. M., Fox, R. K., & Hjalmarson, M. A. (2012). STEM disciplines and world languages: Influences from an international teacher exchange. In B. Shaklee & S. Baily (Eds.), Internationalizing teacher education in the United States (pp. 175-204). Lanham, MD: Rowman & Littlefield Publishers.

Diefes-Dux, H., Hjalmarson, M. A., Miller, T., & Lesh, R. (2008). Model-eliciting activities for engineering education. In J. S. Zawojewski, H. Diefes-Dux, & K. Bowman (Eds.), Models and modeling in engineering education: Designing experiences for all students (pp. 17-36). Rotterdam, The Netherlands: SensePublishers.

Hjalmarson, M. A. (2008). Learning from students’ responses to MEAs. In J. S. Zawojewski, H. Diefes-Dux, & K. Bowman (Eds.), Models and modeling in engineering education: Designing experiences for all students (pp. 173-186). Rotterdam, The Netherlands: SensePublishers.

Hjalmarson, M. A., Diefes-Dux, H., & Moore, T. J. (2008). Designing model development sequences for engineering. In J. S. Zawojewski, H. Diefes-Dux, & K. Bowman (Eds.), Models and modeling in engineering education: Designing experiences for all students (pp. 37-54). Rotterdam, The Netherlands: SensePublishers.

Hjalmarson, M., & Lesh, R. (2008a). Engineering and design research: Intersections for education research and design. In A. E. Kelly, R. Lesh, & J. Baek (Eds.), Handbook of design research methods in education: Innovations in science, technology, engineering and mathematics learning and teaching (pp. 96-110). New York: Routledge.

Hjalmarson, M., & Lesh, R. (2008b). Engineering, systems, products, and processes for innovation. In L. English (Ed.), Handbook of international research in mathematics education 2nd Ed (pp. 520-534). New York: Routledge.

Wood, T., Hjalmarson, M. A., & Williams, G. (2008). Learning to design in small group mathematical modeling. In J. S. Zawojewski, H. Diefes-Dux, & K. Bowman (Eds.), Models and modeling in engineering education: Designing experiences for all students (pp. 187-212). Rotterdam, The Netherlands: SensePublishers.

Zawojewski, J. S., Hjalmarson, M. A., Bowman, K. J., & Lesh, R. (2008). A modeling perspective on learning and teaching in engineering education. In J. S. Zawojewski, H. Diefes-Dux, & K. Bowman (Eds.), Models and modeling in engineering education: Designing experiences for all students (pp. 1-16). Rotterdam, The Netherlands: SensePublishers.

Zawojewski, J. S., Chamberlin, M., Hjalmarson, M. A., & Lewis, C. (2008). Designing design studies for professional development in mathematics education: Studying teachers’ interpretive systems. In A. E. Kelly, R. Lesh, & J. Baek (Eds.), Handbook of design research methods in education: Innovations in science, technology, engineering and mathematics learning and teaching (pp. 219-245). New York: Routledge.

Hjalmarson, M., Cardella, M., & Adams, M. (2007). The role of iterative cycles in engineering problem solving. In R. Lesh, E. Hamilton, & J. Kaput (Eds.), Foundations for the future in mathematics education (pp.409-430). Mahwah, NJ: Lawrence Erlbaum.

Martin, F. G., Hjalmarson, M. A., & Wankat, P. C. (2007). When the model is a program. In R. Lesh, E. Hamilton & J. Kaput (Eds.), Foundations for the future in mathematics education (pp. 395-408). Mahwah, NJ: Lawrence Erlbaum.

Lesh, R., Lester, F. K., & Hjalmarson, M. (2003). A models and modeling perspective on metacognitive functioning in everyday situations where mathematical constructs need to be developed. In R. A. Lesh & H. M. Doerr (Eds.), Beyond constructivism: Models & modeling perspectives on mathematics problem solving, learning & teaching (pp. 383-404). Hillsdale, NJ: Lawrence Erlbaum Associates.

Book reviews:

Hjalmarson, M. A. (2007). The learning of mathematics: Sixty-ninth yearbook. Mathematics Teacher, 101(5), 397.

Peer-reviewed Proceedings: 

Hjalmarson, M. A. & Nelson, J. K. (2015, June). Faculty development groups for interactive teaching. Proceedings of the 2015 ASEE Annual Conference. Seattle, WA.

Hjalmarson, M. A., Nelson, J. K., & Lorie, C. (2015, June). Teaching as a design process: A framework for design-based research in engineering education. Proceedings of the 2015 ASEE Annual Conference. Seattle, WA.

Nelson, J. K. & Hjalmarson, M. A. (2015, June). Faculty autonomy in teaching development groups. Proceedings of the 2015 ASEE Annual Conference. Seattle, WA.

Hargrove*, D., Jamieson*, S., & Hjalmarson, M. (2014, July). Elementary teachers’ development of high cognitive demand tasks. In Liljedahl, P., Nicol, C., Oesterle, S., & Allan, D. (Eds.), Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education. Vancouver, Canada: PME.

Hjalmarson, M. & Kelly, A. E. (2014, July). Pathways through post-secondary maths. In Liljedahl, P., Nicol, C., Oesterle, S., & Allan, D. (Eds.), Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education. Vancouver, Canada: PME.

Hjalmarson, M. & Nelson, J. K. (2014, June). Creating small interactive teaching groups. Proceedings of the 2014 ASEE Annual Conference. Indianapolis, IN.

Hjalmarson, M., Bolyard, J., Suh, J., Bailey, P., Whitenack, J., Moyer-Packenham, P. (2013, November). Mathematics specialists: A new role in schools. In M. V. Martinez & A. Castro Superfine (Eds.), Proceedings of the Thirty-Fifth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Chicago, IL.

Hjalmarson, M. A., Nelson, J. K., Huettel, L., Padgett, W., Wage, K. E., Buck, J. R. (2013, June). Developing Interactive Teaching Strategies for Electrical Engineering Faculty. Proceedings of the 2013 ASEE Annual Conference. Atlanta, GA.

Nelson, J. K. & Hjalmarson, M. A. (2013, May). Students’ understanding of convolution. 2013 IEEE International Conference on Acoustics, Speech and Signal Processing. Vancouver, BC.

Nelson, J. K., & Hjalmarson, M. A. (2011, June). Linking students’ interest in electrical engineering to conceptual understanding. Proceedings of the 2011 ASEE Annual Conference. Vancouver, B.C.

Nelson, J. K. & Hjalmarson, M. A. (2011, January). Using in-class assessment to inform signals and systems instruction. Proceedings of the IEEE Signal Processing Education Workshop. Sedona, AZ.

Wage, K.E., Buck, J. R., Hjalmarson, M. A., & Nelson, J. K. (2011, January). Signals and systems assessment: Comparison of responses to multiple choice conceptual questions and open-ended final exam problems. Proceedings of the IEEE Signal Processing Education Workshop. Sedona, AZ.

Nelson, J. K., Hjalmarson, M. A., Wage, K. E., & Buck, J. R. (2010, October). Students’ interpretation of the importance and difficult of concepts in signals and systems. Proceedings of the IEEE Frontiers in Education Conference, Washington, DC.

Nelson, J. & Hjalmarson, M. (2009, June). Students’ understanding of sequence and series as applied in electrical engineering. Proceedings of the American Society for Engineering Education Conference. Austin, TX. Retrieved from http://www.asee.org/conferences/paper-search-form.cfm.

Diefes-Dux, H., Verleger, M., Zawojewski, J., & Hjalmarson, M. (2009, June). Multidimensional tool for assessing student-team solutions to model-eliciting activities. Proceedings of the American Society for Engineering Education Conference. Austin, TX. Retrieved from http://www.asee.org/conferences/paper-search-form.cfm.

Buck, J. R., Wage, K. E., & Hjalmarson, M. A. (2009, January). Item response analysis of the continuous-time signals and systems concept inventory. Proceedings of the IEEE Digital Signal Processing Workshop and Fifth IEEE Signal Processing Education Workshop (pp. 726 – 730). Marco Island, FL. Retrieved from http://ieeexplore.ieee.org/servlet/opac?punumber=4782947.

Buck, J. R., Wage, K. E., Hjalmarson, M. A., & Nelson, J. K. (2007, October). Comparing student understanding of signals and systems using a concept inventory, a traditional exam and interviews. Proceedings of the Frontiers in Education Conference (pp. S1G-1 – S1G-6). Milwaukee, WI. Retrieved from http://ieeexplore.ieee.org.

Hjalmarson, M. (2006, November). The role of challenging mathematics content: Teacher content courses in MSP. In S. Alatorre, J. L. Cortina, M. Sáiz, and A. Méndez (Eds) Proceedings of the 28th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 783-789). Merida, Mexico.

Wage, K., Buck, J., & Hjalmarson, M. (2006, October). The signals and systems concept inventory. In D. Deeds & B. Callen (Eds.), Proceedings of the National STEM Assessment Conference (pp. 307-313). Washington. D.C.

Wage, K. W., Buck, J. R., & Hjalmarson, M. A. (2006, September). Analyzing misconceptions using the signals and systems concept inventory and student interviews. Proceedings of the IEEE Twelfth Digital Signal Processing Workshop and Fourth IEEE Signal Processing Education Workshop (pp. 123 – 128). Teton National Park, WY. Retrieved from http://ieeexplore.ieee.org.

Hjalmarson, M. (2005, October). Purposes for mathematics curriculum: Pre-service teachers’ perspectives. In Lloyd, G. M., Wilson, M., Wilkins, J. L. M., & Behm, S. L. (Eds.), Proceedings of 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Roanoke, VA. Retrieved from http://convention2.allacademic.com.

Diefes-Dux, H., Follman, D., Zawojewski, J., Capobianco, B., & Hjalmarson, M. (2004, June). Model eliciting activities: An in-class approach to improving persistence and retention of women in engineering. Proceedings of the Conference for the American Society of Engineering Education. Salt Lake City, UT. Retrieved from http://www.asee.org/conferences/paper-search-form.cfm.

Hjalmarson, M. A. (2003, July). Designing a discussion: Teacher as designer. In L. Bragg, C. Campbell, G. Herbert, & J. Mousley (Eds.), Proceedings of the twenty-sixth annual meeting of the Mathematics Education Research Group of Australasia (pp. 429-435). Geelong, Australia.

Hjalmarson, M. A. (2002, October). Technology and middle school student response to model-eliciting activities: A case study. In D. S. Mewborn, P. Sztajn, D. Y. White, H. G. Wiegel, R. L. Bryant, & K. Nooney (Eds.), Proceedings of the 24th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 841-850). Athens, GA.

Hjalmarson, M. A. (2001, October). A modeling perspective on metacognition in everyday problem-solving situations. In B. Speiser, C. A. Maher, & C. Walter, Proceedings of twenty-third annual meeting of the Association for the Psychology of Mathematics Education – North American Chapter (pp. 177-186). Snowbird, UT.

Invited Talks

Hjalmarson, M. (2009, February). Understanding of graphs and functions in electrical engineering. Invited presentation at the James J. Kaput Center for Innovation in Mathematics Education, University of Massachusetts Dartmouth. Dartmouth, MA.

Hjalmarson, M. (2006, November). Models and modeling theory. Invited presentation at National Changua University of Education. Changhua, Taiwan.

 

Conference Workshops

 

Baek, J., Kelly, A., Lesh, R., VanDenAkker, Jan., Lobato, J., Banann-Ritland, B., Hjalmarson, M., Carmona, G., & Nieveen, N. (2009). Design research methods in STEM education. Professional development workshop at the American Educational Research Association Conference, San Diego, CA.

Buck, J. R., Wage, K. E., & Hjalmarson, M. A. (2008). Workshop – The Signals and Systems Concept Inventory. Frontiers in Education Conference. Milwaukee, WI.

 

Presentations:

Baker, C*., Hjalmarson, M., Reybold, E., & Suh, J. M. (2015, April). The impact of beliefs and background on mathematical problem solving. Paper presented at the Annual Meeting of American Educational Research Association, Chicago, IL.

Ward-Parsons, A., Hjalmarson, M., Evmenova, A., & Samaras, A. (2014, April). Self-study of online teaching in education: Multiple contexts and strategies for peer interaction online. Paper presented at the Annual Meeting of American Educational Research Association, Philadelphia, PA.

Baker, C*., Hjalmarson, M., & Reybold, E. (2013). The impact of beliefs and background on a first-year teacher’s problem-solving instruction. Paper presented at the Annual Meeting of the American Educational Research Association, San Francisco, CA.

Hjalmarson, M., Suh, J., Bailey, P*., & Woods, B. (2013). Deepening vertical connections: K-8 mathematics learning for teacher leaders. Presentation at Virginia Council for Teachers of Mathematics Conference, Virginia Beach, VA.

Hjalmarson, M., Suh, J., Bailey, P*., & Woods, B. (2013). Deepening vertical connections by focusing on mathematical Learning across grades K-8. Presentation at Virginia Mathematics Specialists Conference, Culpeper, VA.

Hjalmarson, M. A. & Nelson, J. K. (2012). A content-driven collaboration model for engineering faculty development. Paper presented at the Annual Meeting of the American Educational Research Association. Vancouver, British Columbia.

Smith, T. M. & Hjalmarson, M. A. (2012). Probability for K-8 mathematics specialists. Paper presented at the 16th Annual Conference of the Association for Mathematics Teacher Educators. Fort Worth, TX.

Smith, T. M. & Hjalmarson, M. A. (2011). ”Random” thoughts about probability and statistics: The development of K-8 mathematics specialists’ understandings. Paper presented at the 15th Annual Conference of the Association for Mathematics Teacher Educators. Irvine, CA.

Baek, J., Hjalmarson, M., & Bannan-Ritland, B. (2008). Design research on a diet: A methodological framework called design assessment. Paper presented at the American Educational Research Association. New York, NY.

Hjalmarson, M., Buck, J. R., & Wage, K.A. (2008). Translating information from graphs into graphs: Signals processing. Paper presented at Eleventh Annual Conference on Research in Undergraduate Mathematics Education. San Diego, CA.

Hjalmarson, M. (2007). Finding the challenge in mathematics curricula. Paper presented at the Annual Meeting of the American Educational Research Association. Chicago, Illinois.

Baek, J. Y., Xia, Q., Peters, E. E., Martinez, P., Bannan-Ritland, B., & Hjalmarson, M. A. (2007). Design research on the means of support for teaching and learning geological observation. Paper presented at the National Association for Research in Science Teaching Annual International Conference. New Orleans, LA.

Hjalmarson, M. (2006). Engineering as bridge for undergraduate and K-12 curriculum. Paper presented at Ninth Annual Conference on Research in Undergraduate Mathematics Education. Piscataway, NJ.

Hjalmarson, M. (2005a). Statistical sampling from a digital image. Presentation at Meetings of Research for Undergraduate Mathematics Education. Phoenix, AZ.

Hjalmarson, M. (2005b). Teacher as tool designer: Tool design as a view into teacher practice. Paper presented at the Annual Meeting of the American Educational Research Association. Montreal, Canada.

Hjalmarson, M. A. (2005c). What is learned about engineering students’ mathematical modeling? Paper presented at the Annual Meeting of the American Educational Research Association, Montreal.

Chamberlin, S., Chamberlin, M., Hjalmarson, M., & Lesh, R. (2003, November). Interdisciplinary problem solving in the 21st century with model-eliciting activities. Presentation at the fiftieth annual conference for the National Association for Gifted Children. Indianapolis, IN.

Hjalmarson, M., Diefes-Dux, H., Lesh, R. (2003, October). Data analysis in context by first-year engineering students. Presentation at seventh annual Conference on Research in Undergraduate Mathematics Education. Scottsdale, AZ.

Lesh, R., Carmona, G., Doerr, H., English, L., Hjalmarson, M., & Lamon, S. (2003, July). Models and modeling. Discussion group at the twenty-seventh annual meeting for the International Group for the Psychology of Mathematics Education. Honolulu, HI.

Carmona, G., Heger, M. & Hjalmarson, M. (2000, November). Developing thought-revealing activities. Presentation at annual meeting for Indiana Council of Teacher’s of Mathematics. Indianapolis, IN.

Hjalmarson, M. & Gummer, E. (2000, October). Model-development sequences: Puppy genetics and StarLogo©. Poster session at twenty-third annual meeting of the Association for the Psychology of Mathematics Education North American Chapter. Tucson, AZ

Gummer, E. & Hjalmarson, M. (2000, March). Model-development sequences: Puppy genetics and StarLogo©. Teaching, Learning and Technology Poster Session, Purdue University. West Lafayette, IN.

Hjalmarson, M. (1998, January). Non-edge-to-edge tilings by regular polygons. Undergraduate poster session at Annual Joint Meetings of the American Mathematical Society and the Mathematical Association of America. Baltimore, MD.

Hjalmarson, M. (1998, April). Non-edge-to-edge tilings by regular polygons. Presentation at Hudson River Undergraduate Mathematics Conference. Schenectady, NY.