Scholarly and Creative Works
2025
- Melhuish, K. M., Patterson, C. L., Strickland, S. K., Austin, C. K., & Acevedo, C. I. (n.d.). Mathematicians’ fidelity of task implementation along two dimensions. State College, PA: Penn State University.
- Melhuish, K. M., Patterson, C. L., & Dawkins, P. C. (n.d.). Broadening Views of Inquiry in Advanced Mathematics Through the Lens of Transformation. For the Learning of Mathematics.
- Morrell, G. B., & Patterson, C. L. (n.d.). At the Crossroads of Inquiry and Equity: Synergies and Tensions in Instructor Decision-Making. Blacksburg, VA, United States: Virginia Tech.
2024
- Patterson, C. L., Dawkins, P. C., Zolt, H. M., Tucci, A. A., Lew, K. M., & Melhuish, K. M. (2024). Adapting the proof of Lagrange’s Theorem into a sequence of group-work tasks. PRIMUS, 1–15.
- Melhuish, K. M., Patterson, C. L., Dawkins, P. C., & Lew, K. M. (2024). Moving Beyond Show and Tell in Proof-Based Courses. Notices of the American Mathematical Society, 72(1), 51–59.
- Patterson, C. L., & Gerber, E. J. M. (2024). Building a Global Math Community: The Joyful Math Jamboree. Mathematics Teacher: Learning and Teaching PK-12, 117(2).
2023
- Melhuish, K. M., Lew, K. M., Dawkins, P. C., Strickland, S. K., & Patterson, C. L. (2023). Engineering Instructional Practices to Better Support Access and Participatory Equity in Authentic Proof Activity. In In Cook, S., Katz, B., & Moore-Russo D. (Eds.) Proceedings of the 26th Annual Conference on Research in Undergraduate Mathematics Education. Retrieved from http://sigmaa.maa.org/rume/RUME25v2.pdf
- Patterson, C. L., Bui, M. T. T., Guajardo, L. R., Acevedo, C. I., Rygaard Gaspard, B. R., & McGraw, R. (2023). Worthwhile problems: How teachers evaluate the instructional suitability of contextual algebra tasks.
- Wrightsman, E., & Patterson, C. L. (2023). Inservice secondary teachers’ beliefs about deductive discourse for equation solving.
- Lawrence-Wallquist, A. C., Ford, L. L., Kirmizi, M., & Patterson, C. L. (2023). Developing Our Teaching Praxis Using a Japanese Lesson Study Model Applied to Corequisite Mathematics. Journal of College Academic Support Programs, 6(1), 55–61. https://doi.org/https://doi.org/10.58997/pp2
- Patterson, C. L., Melhuish, K. M., & Hicks, M. D. (2023). The Role of Ritual and Personalization in Students’ Exploration of Subgroup Generation. In In Cook, S., Katz, B., & Moore-Russo D. (Eds.) Proceedings of the 26th Annual Conference on Research in Undergraduate Mathematics Education.
2022
- Guajardo, L. R., Melhuish, K. M., Zolt, H. M., Gonzalez, M. A., Tucci, A. A., Patterson, C. L., & Curtin, E. (2022). Beliefs and Rationales For Instructor Questioning Choices During Class Discussion of the First Isomorphism Theorem. In In Cook, S., Katz, B., & Moore-Russo D. (Eds.) Proceedings of the 25th Annual Conference on Research in Undergraduate Mathematics Education.
- Zolt, H. M., Wrightsman, E., Ford, L. L., & Patterson, C. L. (2022). Believing in infinity: Exploring students’ conceptions of improper integrals. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies.
2021
- Patterson, C. L., Wrightsman, E., Kirmizi, M., & McGraw, R. (2021). Extractive and inferential discourses for equation solving. Philadelphia, PA, United States.
- Patterson, C. L., Warshauer, H. K., & Warshauer, M. L. (2021). Resources that preservice and inservice teachers offer in collaborative analysis of student thinking.
- Patterson, C. L., Guajardo, L. R., & Yu, E. (2021). From recursion to induction: Students’ generalization practices through the lens of combinatorial games.
- Cattey, C., & Patterson, C. L. (2021). Discovering square roots: Productive struggle in middle school mathematics.
2020
- Hughes Hallett, D., Kalaycioglu, S., Lahme, B., Morris, J., Patterson, C. L., Spiegler, A., & Wootton, A. (2020). Web video content for Calculus: Single and Multivariable. In Calculus: Single and Multivariable. Hoboken, NJ, United States: John Wiley & Sons.
- Patterson, C. L., Parrott, A., & Belnap, J. (2020). Strategies for Assessing Mathematical Knowledge for Teaching in Mathematics Content Courses. The Mathematics Enthusiast.
2019
- Liang, S., Vallines Mira, R., Prasad, P. V., & Patterson, C. L. (2019). Improving our practice as mathematics teacher educators through teaching research. International Journal for the Scholarship of Teaching and Learning, 13(2), 1–8. Retrieved from https://files.eric.ed.gov/fulltext/EJ1218282.pdf
- Arbaugh, F., McGraw, R., & Patterson, C. L. (2019). Collaborations between Mathematics Educators and Mathematicians for Mathematics Teacher Education in the United States. In International Handbook of Mathematics Teacher Education: Volume 3 (Vol. 3, pp. 153–181). Leiden, Netherlands: Brill | Sense.
- McGraw, R., & Patterson, C. L. (2019). Establishing Problem Spaces and Boundaries During Small Group Work on a Contextualized Problem. Journal of Mathematics Education.
- Patterson, C. L., Guajardo, L., & Tomasso, M. (2019). How Peer Mentors Support Students in Learning to Write Mathematical Proofs (pp. 484–491). Oklahoma City, OK, United States: SIGMAA for Research in Undergraduate Education. Retrieved from http://sigmaa.maa.org/rume/Site/Proceedings.html
2018
- Patterson, C. L., & McGraw, R. (2018). When time is an implicit variable: An investigation of students’ ways of understanding graphing tasks. Mathematical Thinking and Learning, 20(4), 295–323. https://doi.org/https://doi.org/10.1080/10986065.2018.1509421
- Patterson, C. L., & Prasad, P. V. (2018, August). Beyond grades: Feedback to stimulate rethinking and intellectual growth. AMS Blog on Teaching and Learning Mathematics. Providence, RI, United States: American Mathematical Society. Retrieved from https://blogs.ams.org/matheducation/2018/08/06/beyond-grades-feedback-to-stimulate-rethinking-and-intellectual-growth/
- Patterson, C. L., & Farmer, L. C. (2018). Here’s what you do: Personalization and ritual in college students’ algebraic discourse (pp. 198–212). San Diego, CA, United States: SIGMAA for Research in Undergraduate Mathematics Education. Retrieved from http://sigmaa.maa.org/rume/Site/Proceedings.html
2017
- Patterson, C. L., Hughes Hallett, D., Gleason, A., & McCallum, W. (2017). Calculus: Single and Multivariable, 7th Education. Wiley Scientific Publishing.
- McGraw, R., & Patterson, C. L. (2017). Contextualized mathematics problems and transfer of knowledge: Establishing problem spaces and boundaries (pp. 661–668). Indianapolis, IN, United States: Hoosier Association of Mathematics Teacher Educators. Retrieved from https://www.pmena.org/proceedings/
- Patterson, C. L. (2017). Learning to observe and observing to learn: Using in-person and video observation to study mathematics teaching and learning (Vol. 12, pp. 1–75). Berkeley, CA, United States: Mathematical Sciences Research Institute. Retrieved from http://library.msri.org/cime/index.html
- Lai, Y., & Patterson, C. L. (2017). Opportunities presented by mathematics textbooks for prospective teachers to learn to use mathematics in teaching (pp. 142–147). Washington, DC, United States: Association of Public and Land-Grant Universities. Retrieved from https://www.aplu.org/projects-and-initiatives/stem-education/mathematics-teacher-education-partnership/mtep-conferences-meetings/mtep6.html
- Patterson, C. L. (2017, March 20). Theory into practice: Growth mindset and assessment. AMS Blog on Teaching and Learning Mathematics. Providence, RI, United States: American Mathematical Society. Retrieved from https://blogs.ams.org/matheducation/2017/03/20/theory-into-practice-growth-mindset-and-assessment/
- Patterson, C. L., & Cui, X. _. (2017). Attention to detail: Norms for proof evaluation in a summer mathematics program (pp. 821–828). San Diego, CA, United States: SIGMAA for Research in Undergraduate Mathematics Education. Retrieved from http://sigmaa.maa.org/rume/Site/Proceedings.html
2016
- Patterson, C. L., Patterson, J., & Wood, M. B. (2016). Problem Solving as Co-Construction of Narrative: Collaboration and Shared Cognition in a Calculus Workshop (p. 1149). Tucson, AZ.
- Patterson, C. L., & McGraw, R. (2016). Teacher’s Covariational Reasoning in Context (p. 608). Tucson, AZ.
2014
- Patterson, C. L., Hughes Hallett, D., Lock, P., Gleason, A., & Flath, D. (2014). Applied Calculus, 5th Edition. Wiley Scientific Publishing.