In addition to creating high-quality materials, the PTMT project has impacted the professional learning of 250+ mathematics teacher educators, and subsequently, over 6,000 teachers have been prepared with PTMT materials. As of 2019, our materials have reached educators in 35 states and 15 countries from around the world.

The project team regularly presents at conferences and conducts webinars. Team members have completed theses and dissertations and we have published articles on the PTMT approach and results from empirical studies regarding teachers’ learning with PTMT materials. Our collaborative approach to materials development and research is one of the hallmarks of the PTMT values for impacting change in mathematics teacher education.

### Publications

This page displays the publications from the project since 2008. They are organized by type:

research articles, practitioner articles, book chapters, and conference proceedings.

**Research Articles**

- Dick, L., Lovett, J.N., McCulloch, A.W., Edgington, C.E., & Casey, S. (2020). Predicting Students’ Mathematical Thinking in a Technology-Mediated Environment. Journal of Technology & Teacher Education, 28(3), 89-112.
- McCulloch, A.W., Leatham, K.R., Bailey, N.G., Cayton, C., Fye, K., & Lovett, J.N. (accepted). Theoretically framing the pedagogy of learning to teach mathematics with technology. To appear in
*Contemporary Issues in Technology and Teacher Education – Mathematics.* - McCulloch, A. W., Lovett, J. N., Meagher, M., & Sherman, M. F. (2020) Challenging preservice secondary mathematics teachers’ conceptions of function.
*Mathematics Education Research Journal.*doi.org/10.1007/s13394-020-00347-6 - McCulloch, A. W., Leatham, K., Lovett, J. N., Bailey, N., & Reed, S. (in press). How we are preparing secondary mathematics teachers to teach with technology: Findings from a nationwide survey.
*Journal for Research in Mathematics Education.* - Lovett, J. N., McCulloch, A. W., Dick, L. K., & Cayton, C. (2020). Design principles for examining student practices in a technology-mediated environment: The function concept module.
*Mathematics Teacher Educator, 8*(3), 120-133. - Lovett, J. N., Dick, L. K., McCulloch, A. W., Sherman, M. F., & Martin, K. (2019). Preservice mathematics teachers’ professional noticing of students’ mathematical thinking with technology.
*Journal of Computers in Mathematics and Science Teaching, 38*(4), 305-319. Waynesville, NC USA: Association for the Advancement of Computing in Education (AACE). Retrieved from https://www.learntechlib.org/primary/p/183521/ - McCulloch, A. W., Lovett, J. N., & Edgington, C. (2019). Designing to provoke disorienting dilemmas: Transforming preservice teachers’ understanding of function using a vending machine applet.
*Contemporary Issues in Technology and Teacher Education 19*(1)*.*Retrieved from https://www.citejournal.org/volume-19/issue-1-19/mathematics/designing-to-provoke-disorienting-dilemmas-transforming-preservice-teachers-understanding-of-function-using-a-vending-machine-applet/ - McCulloch, A.W., Hollebrands, K.F., Lee, H.S., Harrison, T., & Mutlu, A. (2018). Factors that influence secondary mathematics teachers’ uses of technology
*. Computers & Education 123,*26-40. https://doi.org/10.1016/j.compedu.2018.04.008. - Lovett, J. N., & Lee, H. S. (2018). Preservice secondary mathematics teachers’ statistical knowledge: A snapshot of strengths and weaknesses.
*Journal of Statistics Education*,*26*(3), 214-222. https://doi.org/10.1080/10691898.2018.1496806. - Lovett, J. N., & Lee, H. S. (2017). Incorporating multiple technologies into teacher education: A case of developing preservice teachers’ understanding in teaching statistics with technology.
*Contemporary Issues in Technology and Technology Education*,*17*(4). Retrieved from http://www.citejournal.org/volume-17/issue-4-17/mathematics/incorporating-multiple-technologies-into-teacher-education-a-case-of-developing-preservice-teachers-understandings-in-teaching-statistics-with-technology/ - Lovett, J. N
**.,**& Lee, H. S. (2017). New standards require teaching more statistics: Are preservice secondary mathematics teachers ready?*Journal of Teacher Education*,*68*(3), 299-311*.*https://doi.org/10.1177%2F0022487117697918. - Hollebrands, K., & Lee, H.S. (2016). Characterizing questions and their focus when pre-service teachers implement dynamic geometry tasks.
*Journal of Mathematical Behavior*,*43*, 148-164. - Starling, T., & Lee, H. S. (2015). Synchronous online discourse in a technology methods course for middle and secondary prospective mathematics teachers.
*Contemporary Issues in Technology and Teacher Education*,*15*(2), 106-125. Retrieved from http://www.citejournal.org/vol15/iss2/mathematics/article2.cfm - Lee, H. S., Kersaint, G., Harper, S., Jones, D. L., Driskell, S. O., Leatham, K., Angotti, R., & Adu-Gwamfi, K. (2014). Prospective teachers’ use of transnumeration in solving statistical tasks with dynamic statistical software.
*Statistics Education Research Journal*,*13*(1), 25-54. - http://iase-web.org/documents/SERJ/SERJ13(1)_Lee.pdf.
- Lee, H. S., Harper, S., Driskell, S. O., Kersaint, G., & Leatham, K. (2012). Teachers’ statistical problem solving with dynamic technology: Research results across multiple institutions.
*Contemporary Issues in Technology and Teacher Education*,*12*(3). - http://www.citejournal.org/vol12/iss3/mathematics/article1.cfm.
- Wilson, P. H., Lee, H. S., & Hollebrands, K. (2011). Understanding prospective mathematics teachers’ processes for making sense of students’ work with technology.
*Journal for Research in Mathematics Education*,*42*(1), 42-67. - Lee, H. S., & Lee, J. T. (2011). Enhancing teachers’ coordination of center and spread: A window into teacher education material development.
*The Mathematics Educator*,*21*(1), 33-47. - Wilson, P. H., Lee, H. S., & Hollebrands, K. F. (2010). An alternative development of measures of center and spread using dynamic diagrams.
*Centroid*,*36*(2), 6-11. - Lee, H. S., & Hollebrands, K. (2008). Preparing to teach mathematics with technology: An integrated approach to developing technological pedagogical content knowledge.
*Contemporary Issues in Technology and Teacher Education*,*8*(4), 326-341. Retrieved from - Available at: http://www.citejournal.org/vol8/iss4/mathematics/article1.cfm.

**Practitioner Articles**

- Bailey, N., Reed, S., Fye, K., McCulloch, A.W., & Lovett, J.N. (In Press). #WODB: The power of dynamic representations. To appear to
*Mathematics Teacher: Learning and Teaching PK–12.* - Lovett, J., McCulloch, A., Patterson, B., & Martin, P. (2020). Is this vending machine FUNCTIONing correctly?
*The Mathematics Teacher, 113*(2), 132-139. doi:10.5951/mtlt.2019.0087 - McCulloch, A. W., Whitehead, A., Lovett, J. N., & Whitley, K. (2017). Tuning out the world with noise-canceling headphones.
*Mathematics Teacher, 110*(8), 606-611. - Lovett, J. N.,& Lee, H. S. (2016). Making sense of data: Context matters.
*Mathematics Teaching in the Middle School*,*21*(6), 338-346. - Lee, H. S., Starling, T. T., & Gonzalez, M. D. (2014). Connecting research to practice: Using data to motivate empirical sampling distributions.
*Mathematics Teacher*,*107*(6), 465-469. - Thrasher, E. P., Perry, A. F., & Lee, H. S. (2014). High leverage iPad apps for the mathematics classroom.
*Mathematics Teacher*,*107*(9), 706-711.

**Book Chapters**

- Lovett, J. N., Dick, L. K., McCulloch, A. W., & Sherman, M. F. (2019). Preservice mathematics teachers’ professional noticing of students’ mathematical thinking with technology. In L. Liu, & D. Gibson (Eds.),
*Research highlights in technology and teacher education 2018*(pp. 71-79)*.*Waynesville, NC: AACE – Association for the Advancement of Computing in Education. Retrieved from: https://www.learntechlib.org/primary/p/207261/. - Lovett, J. N., Dick, L. K., McCulloch, A. W., Sherman, M. F., Edgington, C., Wanner, C. A., & Reed, S. D. (2019). Eliciting preservice mathematics teachers technological pedagogical function knowledge. In M. L. Niess, H. Gillow-Wiles, & C. Angeli (Eds.),
*Handbook of research on TPACK in the digital age*(pp. 365-389)*.*Hershey, PA: IGI Global. - Hollebrands, K. F., McCulloch, A., & Lee, H. S. (2016). Prospective teachers’ incorporation of technology in mathematics lesson plans. In M. Niess, S. Driskell, & K. F. Hollebrands (Eds.),
*Handbook of research on transforming mathematics teacher education in the digital age*(pp. 272-292). Hershey, PA: IGI Global. - Lee, H. S., & Lee, J. T. (2011). Simulations as a path for making sense of probability. In K. Hollebrands & T. Dick (Eds).
*Focus in High School Mathematics on Reasoning and Sense Making with Technology*(pp. 69-88). Reston, VA: National Council of Teachers of Mathematics. - Hollebrands, K. & Dove, A. (2011). Technology as a tool for creating and reasoning about geometry tasks. In T. Dick and K. Hollebrands (Eds.),
*Focus on Reasoning and Sense Making: Technology*(pp. 33-52). Reston, VA: NCTM. - Cohen, J., & Hollebrands, K. (2011). Technology to support mathematics teaching. In T. Dick and K. Hollebrands (Eds.),
*Focus on Reasoning and Sense Making: Technology*(pp. 105-122). Reston, VA: NCTM. - Lee, H. S., & Hollebrands, K. F. (2011). Characterizing and developing teachers’ knowledge for teaching statistics. In C. Batanero, G. Burrill, C. Reading, & A. Rossman (Eds.),
*Teaching Statistics in School Mathematics – Challenges for Teaching and Teacher Education: A joint ICMI/IASE Study*(pp. 359-369). Springer. - Lee, H. S., Ives, S. E., Starling, T. T., & Hollebrands, K. F. (2010). Knowledge for teaching statistics with technology: Examining mathematics teacher educators’ planning. In J. Luebeck, & J. Lott, (Eds.),
*Mathematics Teaching: Putting research into practice at all levels: The seventh monograph of the Association of Mathematics Teacher Educators*(pp. 7-23). San Diego, CA: Association of Mathematics Teacher Educators.

**Conference Proceedings**

- McCulloch, A. W., Lovett, J. N., Leatham, K. R., Bailey, N. G., & Reed, S. D. (2019). Preparing secondary mathematics teachers to teach with technology: Findings from a nationwide survey. In S. Otten, A. G. Candela, Z. de Araujo, C. Haines, & C. Munter (Eds.),
*Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education,*(pp.1126-1130)*.*St. Louis, MO: University of Missouri. - Meagher, M., McCulloch, A. W., Lovett, J. N., & Sherman, M. F. (2019). A transformative learning experience for the concept of function. In S. Otten, A. G. Candela, Z. de Araujo, C. Haines, & C. Munter (Eds.),
*Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education,*(pp.1029-1038)*.*St. Louis, MO: University of Missouri. - Sherman, M. F., Meagher, M., Lovett, J. N., & McCulloch, A. W. (2019). Transforming pre-service teachers’ definition of function. In S. Otten, A. G. Candela, Z. de Araujo, C. Haines, & C. Munter (Eds.),
*Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education,*(pp.1039-1047)*.*St. Louis, MO: University of Missouri. - Watson, L. A., Lovett, J. N., McCulloch, A. W., Cayton, C., & Dick, L. K. (2019). Preservice teachers’ approximations of practice: Planning for and practicing whole class discussions. In S. Otten, A. G. Candela, Z. de Araujo, C. Haines, & C. Munter (Eds.),
*.*St. Louis, MO: University of Missouri. - Bailey, N. G., Quinn, C. M., Reed, S. D., Wanner, C. A., McCulloch, A. W., Lovett, J. N., & Sherman, M. F. (2019). Calculus II students’ understanding of the univalence requirement of function. In (Eds.),
*Proceedings of the 22**nd**Annual Conference on Research in Undergraduate Mathematics Education*Oklahoma City, OK: The Special Interest Group of the Mathematical Association of America (SIGMAA) for Research in Undergraduate Mathematics Education. - McCulloch, A. W., Lovett, J. N., Cayton, C., Dick, L. K., & Lee, H. S. (2018). Design principles for the development of professional noticing of students’ technological mathematical practices. In T. E. Hodges, G. J. Roy, & A. M. Tyminski (Eds.),
*Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(pp.1195-1202). Greenville, SC: University of South Carolina & Clemson University. - Reed, S. D., Wanner, C. A. Bailey, N., Quinn, C., Lovett, J. N., McCulloch, A. W., & Sherman, M. F. (2018). Calculus II students’ definitions of function: Attention to correspondence. In T. E. Hodges, G. J. Roy, & A. M. Tyminski (Eds.),
*Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(pp.1284). Greenville, SC: University of South Carolina & Clemson University. - Lovett, J. N., Dick, L. K., McCulloch, A. W., Sherman, M. F., & Martin, K. (2018). Preservice mathematics teachers’ professional noticing of students’ mathematical thinking with technology. In E. Langran & J. Borup (Eds.),
*Proceedings of Society for Information Technology & Teacher Education International Conference*(pp. 1802-1811). Washington, D.C., United States: Association for the Advancement of Computing in Education (AACE). Retrieved from https://www.learntechlib.org/primary/p/182772/. - Martin, P., Soled, H., Lovett, J. N.,& Dick, L. K. (2018). Students’ Engagement with a Function Vending Machine Applet. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, & S. Brown (Eds.),
*Proceedings of the 21**st**Annual Conference on Research in Undergraduate Mathematics Education*, (pp.1572-1573). San Diego, CA: The Special Interest Group of the Mathematical Association of America (SIGMAA) for Research in Undergraduate Mathematics Education. - Sherman, M. F., Lovett, J. N., McCulloch, A. W., Dick, Lara K., Edgington, C., & Casey, S. A. (2018). Transforming students’ definitions of function using a vending machine applet. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, & S. Brown (Eds.),
*Proceedings of the 21**st**Annual Conference on Research in Undergraduate Mathematics Education*(pp. 752-760)*.*San Diego, CA: The Special Interest Group of the Mathematical Association of America (SIGMAA) for Research in Undergraduate Mathematics Education. - Lovett, J. N., & Lee, H. S. (2017). Preservice secondary mathematics teachers’ statistical knowledge: A snapshot of strengths and weaknesses. In E. Galindo & J. Newton (Eds.),
*Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(pp. 1048-1055). Indianapolis, IN: Hoosier Association of Mathematics Teacher Educators. - McCulloch, A. W., Lovett, J. N.,& Edgington, C. (2017). Developing preservice teachers’ understanding of function using a vending machine metaphor applet. In E. Galindo & J. Newton (Eds.),
*Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(pp. 1281-1288). Indianapolis, IN: Hoosier Association of Mathematics Teacher Educators. - Lovett, J. N., & McCulloch, A. W. (2016). Preservice teachers’ development of an understanding of function using different metaphors. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.),
*Proceedings of the38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*(pp.949). Tucson, Arizona: The University of Arizona. - Nickell, J. (2015). Incorporating technology to enhance teacher education lessons and preservice teachers’ learning.
*In Proceedings of Society for Information Technology & Teacher Education International Conference 2015*(pp. 2453-2459). Chesapeake, VA: Association for the Advancement of Computing in Education (AACE). - Lee, H. S.& Nickell, J. (2014). How a curriculum may develop Technological Pedagogical Statistical Knowledge: A case of teachers examining relationships among variables using Fathom. In K. Makar, B. de Sousa, & R. Gould (Eds.), Sustainability in statistics education.
*Proceedings of the Ninth International Conference on Teaching Statistics*(ICOTS9, July, 2014), Flagstaff, Arizona, USA. Voorburg, The Netherlands: International Statistical Institute. Retrieved from http://icots.info/9/proceedings/pdfs/ICOTS9_9E3_LEE.pdf. - Hollebrands, K. F., Lee, H. S., Starling, T. T., Gonzalez, M. D., & Pulis, T. (2012). Prospective high school mathematics teachers’ design and implementation of dynamic geometry tasks. L. R. Van Zoest, J. J. Lo, & J. L. Kratky (Eds.)
*Proceedings of the thirty-fourth annual meeting of the North American Chapter of the International Group for the Psychology in Mathematics Education*(pp. 1123-1126). Kalamazoo, MI: Western Michigan University. - Ives, S. E., Lee, H. S., & Starling, T. (2009). Preparing to teach mathematics with technology: Lesson planning decisions for implementing new curriculum.
*In the Proceedings of Research in Undergraduate Mathematics Education conference*, Raleigh, NC. - Available online at http://mathed.asu.edu/crume2009/Ives_LONG2.pdf.
- Lee, H. S., & Lee, J. T. (2008). The use of intervals to help coordinate understandings of center and spread: A preliminary report.
*In the Proceedings of Research in Undergraduate Mathematics Education conference*, San Diego, CA. - Available online http://rume.org/crume2008/Proceedings/Lee&Lee%20LONG.pdf.
- Lee, H. S., & Hollebrands, K. F. (2008). Preparing to teach data analysis and probability with technology.
*Proceedings of the Joint Study of the ICMI/IASE*, Monterrey, MX, June. - Available online http://www.ugr.es/~icmi/iase_study/Files/Topic3/T3P4_Lee.pdf.
- Hollebrands, K., Wilson, H., & Lee, H. S. (2007). Prospective teachers’ use of a videocase to examine students’ work. In T. Lamberg (Ed.)
*Proceedings of the Twenty-Ninth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education,*Available online at: http://www.allacademic.com/meta/p188561_index.html. - Lee, H. S., Hollebrands, K., & Wilson, H. (2007). The use of research-based methods and materials for preparing to teach mathematics with technology. In (A. Rogerson, Ed.)
*Proceedings of the 9th International Conference on Mathematics Education in a Global Community*(pp. 383-388), Charlotte, NC