Publications
Intellectual need, covariational reasoning, and function: Freeing the horse from the cart
Paoletti, T., Moore, K. C., & Vishnubhotla, M. (Accepted). Intellectual need, covariational reasoning, and function: Freeing the horse from the cart. The Mathematics Educator.
Exploring and Promoting a Student’s Covariational Reasoning and Developing Graphing Meanings
Paoletti, T., Stevens, I. E., Acharya, S., Margolis, C., Olshefke-Clark, A., & Gantt, A. L. (2024). Exploring and promoting a student’s covariational reasoning and developing graphing meanings. The Journal of Mathematical Behavior, 74, 101156. https://doi.org/10.1016/j.jmathb.2024.101156
Conference Proceedings
Task Design Principles to Support Graph Reasoning
Paoletti, T., Gantt, A., Acharya, S., & Margolis, C. (2024). Task design principles to support graph reasoning. In Evans, T., Marmur, O., Hunter, J., Leach, G., & Jhagroo, J. (Eds.) (2024). Proceedings of the 47th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1). Auckland, New Zealand: PME (pp. 287).
Emerging Principles of Digital Task Design to Support Students’ Developing Graphing Meanings
Margolis, C., Paoletti, T., & Olshefke, A. (2024). Emerging Principles of Digital Task Design to Support Students’ Developing Graphing Meanings. In Evans, T., Marmur, O., Hunter, J., Leach, G., & Jhagroo, J. (Eds.) (2024). Proceedings of the 47th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1). Auckland, New Zealand: PME (pp. 282).
Different Ways Students Interpret Axes on Graphs
Olshefke, A., Paoletti, T., Margolis, C., Gantt, A., Lee, H. Y., & Hardison, H. L. (2024). Different ways students interpret axes on graphs. In Evans, T., Marmur, O., Hunter, J., Leach, G., & Jhagroo, J. (Eds.) (2024). Proceedings of the 47th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1). Auckland, New Zealand: PME (pp. 198).
Digital Task Design to Support Students’ Developing Graphing Meanings
Margolis, C., Paoletti, T., & Olshefke, A. (2024). Digital Task Design to Support Students’ Developing Graphing Meanings. In S. Cook (Eds.). Proceedings of the 26th Annual Conference on Research in Undergraduate Mathematics Education.
Bridging Situational and Graphical Reasoning to Support Emergent Graphical Shape Thinking
Gantt, A. L., Paoletti, T., Acharya, S. V., & Margolis, C. (2023). Bridging situational and graphical rasoning to support emergent graphical shape thinking. In T. Lamberg & D. Moss (Eds.) Proceedings of the forty-fifth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1). University of Nevada, Reno. https://www.pmena.org/pmenaproceedings/PMENA%2045%202023%20Proceedings%20Vol%201.pdf
Talks
Different Ways Students Interpret Axes on Graphs
Olshefke, A., Paoletti, T., Margolis, C., Gantt, A., Lee, H. Y., & Hardison, H. L. (2024, July). Different ways students interpret axes on graphs. Paper presented at the 47th annual meeting of the International Group for the Psychology of Mathematics Education. Auckland, New Zealand.
Emerging Principles of Digital Task Design to Support Students’ Developing Graphing Meanings
Margolis, C., Paoletti, T., & Olshefke, A. (2024, July). Emerging Principles of Digital Task Design to Support Students’ Developing Graphing Meanings. Poster presented at the 47th annual meeting of the International Group for the Psychology of Mathematics Education. Auckland, New Zealand.
Task Design Principles to Support Graph Reasoning
Paoletti, T., Gantt, A., Acharya, S., & Margolis, C. (2024, July). Task design principles to support graph reasoning. Poster presented at the 47th annual meeting of the International Group for the Psychology of Mathematics Education. Auckland, New Zealand.
Moving Beyond ‘Over-and-Up’: One Student’s Productive Shifts in Point Plotting and Graphing Activity
Paoletti, T., Acharya, S., Gantt, A., & Margolis, C. (2024, July). Moving beyond ‘Over-and-up’: One student’s productive shifts in point plotting and graphing activity. Paper presented at the 15th International Congress on Mathematical Education. Sydney, Australia.
The Impact of Immediate Graphical Feedback on Students’ Goal-Directed Activity
Margolis, C., Paoletti, T., Gantt, A., & Acharya, S. (2024, July). The impact of immediate graphical feedback on students’ goal-directed activity. Paper presented at the 15th International Congress on Mathematical Education. Sydney, Australia.
Supporting students’ meanings for graphs as representing two changing quantities
Paoletti, T. (2024, April). Supporting students’ meanings for graphs as representing two changing quantities. Presentation for the Department of Mathematical and Statistical Sciences University of Colorado Denver Spring, 2024 Seminar Series. Denver, CO.
Digital Task Design to Support Students’ Developing Graphing Meanings
Margolis, C., Paoletti, T., & Olshefke, A. (2024, February). Digital Task Design to Support Students’ Developing Graphing Meanings. Paper presented at the 26th Annual Conference on Research in Undergraduate Mathematics Education, Omaha, NE.
“Like Reverse Psychology”: Supporting Middle Schoolers’ Graphical Reasoning
Gantt, A. L., Paoletti, T., Acharya, S., Margolis, C. (2023, October). “Like reverse psychology”: Supporting middle schoolers’ graphical reasoning. Paper presented at the National Council for Teachers of Mathematics Annual Research Conference.
Growing Triangle Task: Using Desmos to Support Students’ Understandings of Graphs and Non-Linear Change
Paoletti, T., Gantt, A. L., Acharya, S., Grant, K., & Bieryla, E. (2023, October). The Growing Triangle Task: Using Desmos to support students’ understandings of graphs and non-linear change. Presentation at the National Council for Teachers of Mathematics Annual Meeting & Exposition.
Growing Triangle/Rectangle: A Desmos Task for Diving Deeply into Linear and Nonlinear Relationships
Gantt, A. L., Paoletti, T., Acharya, S., Grant, K., & Bieryla, E. (2023, October). Growing Triangle/Rectangle: A Desmos task for diving deeply into linear and nonlinear relationships. Presentation at the National Council for Teachers of Mathematics Annual Meeting & Exposition.
Bridging Situational and Graphical Reasoning to Support Emergent Graphical Shape Thinking
Gantt, A. L.,Paoletti, T., Acharya, S., & Margolis, C. (2023, October). Bridging situational and graphical reasoning to support emergent graphical shape thinking. Paper presented at the forty-fifth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Reno, NV.
CAREER: Covariational and Algebraic Reasoning: A New Path to Algebra
Paoletti, T., Gantt A. L., Acharya, S. V., & Margolis, C. (2023, June). CAREER: Covariational and Algebraic Reasoning: A New Path to Algebra. Poster presented at the Discovery Research PreK-12 PI Meeting, Arlington, VA.