# Sarah D. Castle

**Assistant Professor**

*Mathematical & Statistical Sciences Department*

*Curriculum and Instruction Department*

**University of Idaho**

**Assistant Professor**

*Mathematical & Statistical Sciences Department*

*Curriculum and Instruction Department*

**University of Idaho**

Sarah Castle is an assistant professor of mathematics education within the Mathematical and Statistical Sciences Department and is affiliated with the Curriculum and Instruction Department within the College of Education, Health and Human Sciences. She earned her doctorate in mathematics education at Michigan State University in 2023 and her master’s from MSU in mathematics in 2022. Her work is twofold. First, it centers on using computation to uncover manifestations of inequity within undergraduate STEM contexts and working to advance critical investigations of structural systemic inequities. Secondly, she uses computation as an environment for students to engage in mathematical creativity and provide new opportunities for previously marginalized students while also investigating the affordances and constraints of using computing as a mathematical pedagogy. Her most recent project focuses on introducing computational modeling students to linear algebra through a series of modules in Jupyter Notebooks and the relation with mathematical creativity. In her free time, she enjoys hiking, swimming, playing with her cats, and crafting.

**Castle, S. D.**, (Accepted, In Press). Embracing Mathematical Conjecture Through Coding and Computational Thinking, Submitted to 54th ACM Technical Symposium on Computer Science Education.

Levin, M., Smith III, J. P., Karunakaran, S. S., Hwang, J., **Castle, S. D.**, Küchle, V., Elmore, B., Lu, Y., Abreu, S. (Accepted, In Press) Re-conceptualizing the Construct of Mathematical Autonomy: From Individual Trait to Quality of Action in Context. To appear in Proceedings of the 26th Annual Conference on Research in Undergraduate Mathematics Education Omaha, NE

** Castle, S. D. ** (2023). Exploring How Computation Can Foster Mathematical Creativity in Linear Algebra Modules. In Cook, S., Katz, B., & Moore-Russo, D. (Eds.). In Proceedings of the 25th Annual Conference on Research in Undergraduate Mathematics Education (pp. 582-590) Omaha, NE

** Castle, S. D. ** (2023). Leveraging Computational Science Students' Coding Strengths for Mathematics Learning. In Proceedings of the 54th ACM Technical Symposium on Computer Science Education V. 1 (pp. 263-269).

**Castle, S. D. ** (2022). If Creativity Return Computing: Exploring the Impact of Computing on Students’ Mathematical Creativity in Linear Algebra . In Proceedings of the 2022 ACM Conference on International Computing Education Research-Volume 2 (pp. 24-25).

Pearson, M. I., ** Castle, S. D. **, Matz, R. L., Koester, B. P., & Byrd, W. C. (2022). Integrating Critical Approaches into Quantitative STEM Equity Work . CBE—Life Sciences Education, 21(1)

Hwang, J., **Castle, S. D. **, & Karunakaran, S. S. (2022). One is the Loneliest Number: Groupwork within Linguistically Diverse Classrooms . PRIMUS, 1-13.

**Castle, S. D. **, Smith III, J. P., Levin, M., Hwang, J., Karunakaran, S. S., Küchle, V., & Elmore, R. (2022). Shifts in External Authority and Resources for Sense-making in the Transition to Proof-Intensive Mathematics: The Case of Amelia. In Karunakaran, S. S., & Higgins, A. (Eds.). Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education. (pp.100-107) Boston, MA

**Castle, S. D.**, Byrd, W. C., Koester, B. P., Boenem, E., Caporale, N., Cwik, S., Denaro, K., Denaro, D., Fiorini, S., Matz, R., Mead, C., Whitcomb, K., Singh, C., Levesque-Bristol, C., & McKay, T. (2021) Equity in the STEM Landscape: A Multi-Institutional Approach to Mapping Systemic Advantages Within STEM Courses , 2021 American Education Research Association Annual Meeting Proceedings.

**Castle, S. D.** (2021). Connecting Computation: Mediating Mathematical Knowledge Through Computational Modules, In Karunakaran, S. S., & Higgins, A. (Eds.). 2021 Research in Undergraduate Mathematics Education Reports. (pp.30-38)

Levin, M., Smith III, J. P., Karunakaran, S. S., Küchle, V., ** Castle, S. D. **, Hwang, J., Elmore, B., Bae, Y. (2020). Math and Moral Reasoning in the Age of the Internet: Undergraduate Students’ Perspectives on the Line Between Acceptable Use of Resources and Cheating , In Karunakaran, S. S., Reed, Z. & Higgins, A. (Eds.). Proceedings of the 23rd Annual Conference on Research in Undergraduate Mathematics Education. (pp.366-373) Boston, MA

Smith III, J. P., Küchle, V., ** Castle, S. D. **, Karunakaran, S. S., Bae, Y., Hwang, J., Levin, M., Elmore, B. (2020). Dimensions of Variation in Group Work within the “Same” Multi-Section Undergraduate Course . In Karunakaran, S. S., Reed, Z. & Higgins, A. (Eds.). In Proceedings of the 23rd Annual Conference on Research in Undergraduate Mathematics Education. (pp.606-613) Boston, MA

Levin, M., Smith, J. P., Karunakaran, S., Küchle, V. A., & **Castle, S. D. ** (2020). Conceptualizing STEM Majors’ Developing Agency and Autonomy in Undergraduate Mathematics . In Gresalfi, M. and Horn, I. S. (Eds.), The Interdisciplinarity of the Learning Sciences, 14th International Conference of the Learning Sciences (ICLS) 2020, Volume 2 (pp. 887-888). Nashville, Tennessee: International Society of the Learning Sciences.

Sankaran, K., French, A., ** Gady, S. **, Wisniewski, T., & Woodkey, M. (2014). Evaluation of Electric Propulsion Systems for Asteroid and Comet Sample-Return Missions . In 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference (p. 3720). https://doi.org/10.2514/6.2014-3720.

*Denotes presenter

**Castle, S. D.* ** (2023, April 27-29) Constructing Creativity: Exploring the effects of computing enacted through coding on students’ mathematical understanding, mathematical creativity, and relationship to mathematics [Poster Presentation]. Symposium on Coding, Computational Modelling, & Equity in Mathematics Education: St. Catharines, Ontario, CA

**Castle, S. D.* ** (2023, March 15-18). Leveraging Computational Science Students' Coding Strengths for Mathematics Learning [Paper Presentation]. 54th ACM Technical Symposium on Computer Science Education: Toronto, Ontario, CA

**Castle, S. D.*** (2023, February 23-25) Exploring How Computation Can Foster Mathematical Creativity in Linear Algebra Modules [Paper Presentation]. 25th Annual Conference on Research in Undergraduate Mathematics Education: Omaha, NE

Hwang, J.*, ** Castle, S. D.* **, Karunakaran, S. S.* (2023, January 4-7) Two students’ groupwork experiences in a linguistically diverse classroom [Abstract Presentation], 2023 Joint Mathematics Meetings: Boston, MA.

** Castle, S. D.* ** (2022, August 7-10). If Creativity Return Computing: Exploring the Impact of Computing on Students’ Mathematical Creativity in Linear Algebra [Abstract Presentation]. 2022 ACM Conference on International Computing Education Research, Lugano, Switzerland.

Sweeder, R.*, ** Castle, S. D. **, Koester, B. P., Byrd, W. C.; Pearson, M.; Boenem, E., Caporale, N., Cwik, S., Denaro, K., Fiorini, S., Levesque-Bristol, C.; Matz, R., Mead, C., Brownell, S., Molinaro, M., Singh, C., McKay, T. (2022, March 20-24) Exposing inequity: A multi-institutional analysis of systematic advantages in introductory STEM courses [Abstract Presentation]. ACS (American Chemical Society) Spring 2022 National Meeting, San Diego, CA.

** Castle, S. D.* ** Smith III, J. P., Levin, M., Hwang, J., Karunakaran, S. S., Küchle, V., & Elmore, R. (2022, February 24-26). Shifts in External Authority and Resources for Sense-making in the Transition to Proof-Intensive Mathematics: The Case of Amelia [Paper Presentation]. 24th Annual Conference on Research in Undergraduate Mathematics Education, Boston, MA

** Castle, S. D.* **, Byrd, W. C., Koester, B. P., Boenem, E., Caporale, N., Cwik, S., Denaro, K., Denaro, D., Fiorini, S., Matz, R., Mead, C., Whitcomb, K., Singh, C., Levesque-Bristol, C., & McKay, T. (2021, April 8-12) Equity in the STEM Landscape: A Multi-Institutional Approach to Mapping Systemic Advantages Within STEM Courses [Paper Presentation], 2021 American Education Research Association Annual Meeting

Levin, M.*, Smith III, J. P., Karunakaran, S. S., Küchle, V., ** Castle, S. D.**, (2021). Conceptualizing Agency and Autonomy in Tertiary Mathematics [Abstract Presentation], In 14th International Congress on Mathematical Education Conference Proceedings.

Caporale, N.*, Castle, S. D.*, Denaro, K. (2020, November) Developing Multi-institutional Collaborations in Student Analytics [Poster Presentation], AAC&U Transforming STEM Higher Education, Virtual.

Levin, M., Smith III, J. P., Karunakaran, S. S., Küchle, V., ** Castle, S. D.* **, Hwang, J., Elmore, B., Bae, Y. (2020). Math and Moral Reasoning in the Age of the Internet: Undergraduate Students’ Perspectives on the Line Between Acceptable Use of Resources and Cheating [Paper Presentation], 23rd Annual Conference on Research in Undergraduate Mathematics Education, Boston, MA.

Smith III, J. P.*, Küchle, V., ** Castle, S. D. **, Karunakaran, S. S., Bae, Y., Hwang, J., Levin, M., Elmore, B. (2020). Dimensions of Variation in Group Work within the “Same” Multi-Section Undergraduate Course [Paper Presentation]. 23rd Annual Conference on Research in Undergraduate Mathematics Education, Boston, MA.

Levin, M.*, Smith III, J. P., Karunakaran, S. S., Küchle, V. A., & ** Castle, S. D. ** (2020, June 19-23). Conceptualizing STEM Majors’ Developing Agency and Autonomy in Undergraduate Mathematics [Paper Presentation], 14th International Conference of the Learning Sciences (ICLS).

**Gady, S.* ** (2019, February 28 - March 2). Integrating Integration: Deepening Mathematical Understanding Through Computation [Abstract Presentation], 22nd Annual Conference on Research in Undergraduate Mathematics Education, Oklahoma City, OK.

**Gady, S.***, Kubota, S., & Johnson, I. (2015, November 16-20). Comparison of a 3-D GPU-Assisted Maxwell Code for Synthetic Diagnostics on ITER [Poster Presentation], 57th Annual Meeting of the APS Division of Plasma Physics, Savannah, GA.

Sankaran, K.*, French, A., **Gady, S.**, Wisniewski, T., & Woodkey, M. (2014, July 28-30). Evaluation of Electric Propulsion Systems for Asteroid and Comet Sample-Return Missions [Paper Presentation]. 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Cleveland, OH.

French, A.*, **Gady, S.***, & Sehgal, A.* (2014, May 1-3). Evaluation of Electric Propulsion Systems for Asteroid Sample-Return Missions [Poster Presentation], Annual Meeting of the Northwest Section of the APS, Seattle, WA.

**Castle, S. D.* ** (2023, May 12-13) Constructing Creativity: Exploring the effects of computing enacted through coding on students’ mathematical understanding, mathematical creativity, and relationship to mathematics [Poster Presentation]. Symposium – Culturally Relevant Integration of CS and Mathematics: Kennesaw, GA

**Castle, S. D.* **(2022, June) Exploring the Impact of Computing on Students’ Mathematical Creativity, University of Oslo Physics Education Research Summer Institute, Oslo, Norway

**Castle, S. D.* **(2021, November) Systemic Advantages Within Introductory STEM Courses, University of Pittsburgh dB-SERC Colloquium, Pittsburgh, PA.

Matz, R.*, Fiorini, S.*, Caporale, N.*, **Castle, S. D.***, Fisher, C.* (2021, May) Analytics to support student success in STEM: Stories from the Sloan Equity and Inclusion in STEM Introductory Courses (SEISMIC) Measurement Working Group [Panel Presentation], Indiana University Learning Analytics Summit, Bloomington, IN.

**Gady, S.* **(2014, September). Modeling Astronaut Central Nervous System Cerebral Fluid Response to Microgravity and Its Effects on Astronaut Vision, Spokane Mathematics Colloquium, Spokane, WA.

At the undergraduate level, I have teaching experience as (1) an instructor of record with full responsibility for teaching the class, grading, writing assessments and assignments, developing interactive computational exercises, etc. (2) private and volunteer tutor (middle school to post-secondary), and (3) teaching assistant for the instructor of record where I graded materials, lead recitations, and held office hours.

I am a part of some amazing teams who do some truely phenomenal things! Follow the links below to learn more about each of the research teams.

Email:

scastle@uidaho.edu

University of Idaho Mailing Address:

875 Perimeter Drive

MS 1103

Moscow, ID 83844-1103