# Presentations

Stevens, I. E. (2019, March). *What research has taught us about undergraduate calculus students*. Presented at the University of Georgia Street Mathematics and Related Topics (*SMARTS*)* *Seminar. Athens, GA.

Liang, B. (2019, March). *Construction and application perspective: A review of research on teacher knowledge relevant to student-teacher interaction*. Paper presented at the Twenty-Second Annual Conference on Research in Undergraduate Mathematics Education. Oklahoma City, OK.

Stevens, I. E. (2019, March). *The role of multiplicative objects in a formula*. Paper presented at the Twenty-Second Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (SIGMAA on RUME) Conference. Oklahoma City, OK.

Stevens, I. E. (2019, February). *Using a dynamic geometric context to support students’ constructions of variables*. Paper presented at the Twenty-Second Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (SIGMAA on RUME) Conference. Oklahoma City, OK.

Tasova, H. I., Liang, B., & Moore, K. C. (2019, February). *Generalizing actions of forming: Identifying patterns and relationships between quantities*. Paper presented at the Twenty-Second Annual Conference on Research in Undergraduate Mathematics Education. Oklahoma City, OK.

Tasova, H. I., Lee, H. Y., & Moore, K. C. (2019, February). *Supporting quantitative reasoning through establishing frames of reference*. Presentation at Twenty-Third Annual Conference of the Association of Mathematics Teacher Educators. Orlando, FL.

Tasova, H. I., Liang, B., Stevens, I. E., & Moore, K. C. (2019, January). *Undergraduate students’ quantitative comparisons of covarying quantities’ magnitudes*. Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. Baltimore, MD.

Moore, K. C., Stevens, I. E., Liang, B., & Tasova, H. I. (2019, January). *Concept construction and abstracted quantitative structures*. Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. Baltimore, MD.

Liang, B., Stevens, I. E., Tasova, H. I., & Moore K. C. (2018, November). *Magnitude reasoning: Characterizing a pre-calculus student's quantitative comparison between covarying magnitudes*. Paper presented at the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Greenville, SC.

Paoletti, T., & Moore, K. C. (2018, November). *A covariational understanding of function: Putting a horse before the cart*. Paper presented at the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*. *Greenville, SC.

Stevens, I. E. (2018, November). *The parallelogram problem: Supporting covariational reasoning in the construction of formulas*. Paper presented at the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Greenville, SC.

Tasova, H. I., & Moore, K. C. (2018, November). *Generalization of an invariant relationship between two “quantities"*. Paper presented at the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Greenville, SC.

Tasova, H. I. & Stevens, I. E. (2018, October). *A special content knowledge task on functions and rate of change*. Abstract presented at the 59th Annual Georgia Mathematics Conference. Eatonton, GA.

Tasova, H. I. (2018, October). *What is essential to the concept of rate of change in dynamic situations and graphs? *Abstract presented at the 12th Annual Georgia Association of Mathematics Teacher Educators. Eatonton, GA.

Moore, K.C. (2018, October). *Re-presentation and multiple representations.* Sonoma State University Department of Mathematics and Statistics Public Colloquium Series. Rohnert Park, CA.

Tasova, H. I. (2018, May). *Making sense of rate of change in dynamic situations and graphs through “amount of change**.* Abstract presented at SEER Center Spring Research Forum. Athens, GA.

Tasova, H. I. (2018, April). *Direction of tangent lines as a justification of curvature and its drawbacks: The case of Emma*. Poster presented at Integrative Research and Ideas Symposium. Athens, GA.

Hobson, N. L. F. (2018, March). *Students’ ways of thinking about graphs*. Abstract presented at the Western sectional meeting of the Mathematical Association of America. Portland, OR.

Liang, B., Stevens, I. E., & Tasova, H. I. (2018, March). *Documenting college students’ meanings for partitioning activity.* Poster presented at the 2018 College of Education Research Conference at the University of Georgia. Athens, GA.

Hardison, H. (2018, February).* Prospective teachers' covariational reasoning in circle contexts: Distinguishing figurative from operative thought*. Presentation at the TXST Mathematics Education Seminar. San Marcos, TX.

Hobson, N. L. F. (2018, February). *Habits of Graphing: “I just don’t like that.”* Sonoma State University Department of Mathematics and Statistics, M*A*T*H Colloquium. Rohnert Park, CA.

Hobson, N. (2018, February). *Constant rate of change: The reasoning of a former teacher and current doctoral student*. Poster presented at the Twenty-First Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. San Diego, CA.

Liang, B., Moore, K.C. (2018, February). *Figurative thought and a student’s reasoning of “amounts” of change*. Paper presented at the Twenty-First Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. San Diego, CA.

Paoletti, T. (2018, February). *Katlyn’s inverse dilemma: School mathematics versus quantitative reasoning*. Paper presented at the Twenty-First Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (SIGMAA on RUME) Conference. San Diego, CA.

Paoletti, T., Silverman, J., Moore, K. C., Liss, D. R., Musgrave, S., Vishnubhotla, M., & Rahman, Z. (2018, February). *Conventions or constraints? Pre-service and in-service teachers’ understandings*. Paper presented the Twenty-First Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (SIGMAA on RUME) Conference. San Diego, CA.

Paoletti, T., Silverman, J., Moore, K. C., Vishnubhotla, M., Rahman, Z., Monahan, C., & Germia, E. F. (2018, February). *Reasoning about quantities or conventions: Investigating shifts in in-service teachers’ meanings after an on-line graduate course*. Paper presented at the Twenty-First Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (SIGMAA on RUME) Conference. San Diego, CA.

Stevens, I. E. (2018, February). *Insights into students' images of a geometric object and its formula from a covariational reasoning perspective*. Paper presented at the Twenty-First Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. San Diego, CA.

Tasova, H. & Stevens, I. E., & Moore, K. C. (2018, February).* A framework for analyzing written curriculum from a shape-thinking and (co)variational reasoning perspective.*Paper presented at the Twenty-First Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. San Diego, CA.

Hobson, N. (2018, January). "The slope is increasing"--Students' takeaways from Calculus. Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. San Diego, CA.

Moore, K. C. (2018, January). *Visualization: Constructing what's "out there"**.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. San Diego, CA.

Stevens, I. E. (2018, January). *How a pre-calculus student was able to reason about rates of change using magnitudes**.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. San Diego, CA.

Tasova, H., & Moore, K. C. (2018, January). *Justification** of an invariant relationship between two quantities: Coordinating quantities vs. steepness of tangent lines**.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. San Diego, CA.

Stevens, I. E. & Moore, K. C. (2017, October). *The role of quantification and operative thought in a students' all-encompassing meaning for a graph*. Presentation at the 11th Annual Georgia Association of Mathematics Teacher Educators. Eatonton, GA.

Stevens, I.** **E. & Liang, B. (2017, October). *Exploring linear relationships using various coordinate systems**. *Presentation at the 58^{th} Georgia Mathematics Conference. Eatonton, GA.

Moore, K.C. (2017, October). *Students' graphing activity: Re-presentations of what?* The Michigan State University Program in Mathematics Education Lappan-Phillips-Fitzgerald Mathematics Education Colloquium Series. East Lansing, MI.

Hardison, H., Stevens, I. E., Lee, H. Y., & Moore, K. C. (2017, October). *Lydia's circle concept: The intersection of figurative thought and covariational reasoning*. Poster presented at the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.

Lee, H. Y., Tasova, H., & Moore, K. C. (2017, October).* Reasoning within quantitative frames of reference and graphing: The case of Lydia*. Paper presented at the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.

Liang, B. & Moore, K. C. (2017, October).* Reasoning with change as it relates to partitioning activity*. Paper presented at the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.

Paoletti, T. (2017, October).* Quantitative reasoning and inverse function: A mismatch*. Paper presented at the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.

Paoletti, T., Silverman, J., Vishnubhotla, M., Rahman, Z., Monahan, C., Germia, E. & Moore, K. C. (2017, October).* Graphing rules or conventions: Teachers' understandings*. Poster presented at the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.

Stevens, I. E. & Moore, K. C. (2017, October). *The intersection between quantification and an all-encompassing meaning for a graph*. Paper presented at the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.

Stevens, I. E. (2017, July). *A critical examination of the critiques of radical constructivism as an epistemology for education*. Paper presented at the 41st Conference of the International Group for the Psychology of Mathematics Education*. *Singapore.

Moore, K. C. (2017, July). *Broadening students' representational experiences*. Poster presented at the Transforming Research in Undergraduate STEM Education (TRUSE) Conference. St. Paul, MN.

Tasova, H. I. & Stevens, I. E. (2017, April). *An analysis of U.S. and Turkish textbooks through a shape thinking perspective: Linear functions*. Poster presentation at the University of Georgia's College of Education Graduate Student and Faculty Research Conference. Athens, GA.

Stevens, I. E., Paoletti, Moore, K. C., Liang, B., & Hardison, H. (2017, February).* Principles for designing tasks that promote covariational reasoning.* Paper presented at the Twentieth Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. San Diego, CA.

Hobson, N. & Moore, K. C. (2017, February).* Exploring experts’ covariational reasoning.* Paper presented at the Twentieth Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. San Diego, CA.

Hobson, N. & Moore, K. C. (2017, January).* Exploring Experts’ Reasoning in Modeling Dynamic Situations.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. Atlanta, GA.

Liang, B. & Moore, K. C. (2017, January).* Rate of change as a feature of partitioning activity: The case of Lydia.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. Atlanta, GA.

Stevens, I. E. & Moore, K. C. (2017, January). *A case study: When graphs contain everything**.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. Atlanta, GA.

Tasova, H.I., & Moore, K.C. (2017, January). *A Comparative Analysis of Turkish Textbooks through Shape Thinking Perspective*. Abstract presented at the Southern sectional meeting of the Mathematical Association of America. Macon, GA.

Moore, K. C. (2017, January). *Graphing and fostering operative thought**.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. Atlanta, GA.

Stevens, I. E. & Moore, K. C. (2016, November). *The ferris wheel and justifications of curvature*. Paper presented at the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ.

Hobson, N. L. F. (2016, October). *Exploring Experts’ Reasoning while Graphing Dynamic Situations**. *Presentation at the Oregon State University Mathematics Education Seminar. Corvallis, OR.

Stevens, I.** **E. & Liang, B. (2016, October). Exploring mathematical relationships of an amusement park ride. Presentation at the 57^{th} Georgia Mathematics Conference. Eatonton, GA.

Moore, K. C. & Stevens, I. E. (2016, October). *Broadening students' graphing experiences*. Invited presentation at the 57th Georgia Mathematics Conference. Eatonton, GA. Oct. 20, 2016.

Stevens, I. E., & Liang, B. (2016, October). *Exploring the mathematics of ferris wheels.** *Presentation at the 10th Annual Georgia Association of Mathematics Teacher Educators. Eatonton, GA.

Moore, K. C. (2016). *Graphing as figurative and operative thought*. Paper presented at the 40th Conference of the International Groups for the Psychology of Mathematics Education*. *Szeged, Hungary.

Moore, K. C., & Thompson, P. W. (2016, July). *Ideas of calculus, and graphs as emergent traces*.* *Paper presented at the 13th International Congress on Mathematical Education. Hamburg, Germany.

Paoletti, T., Moore, K. C., & Stevens, I. E. (2016, July). *Task-design principles for covariational reasoning*. Paper presented at the 13th International Congress on Mathematical Education. Hamburg, Germany.

Stevens, I. E., & Moore, K. C. (2016, July). *Undergraduate students' graphing habits*. Poster presented at the 13th International Congress on Mathematical Education. Hamburg, Germany.

Moore, K. C. (2016, May). *Graphs as things to do or things to represent*. Abstract presented at the 50 Years of Mathematics Education at University of Georgia Alumni and Faculty Research Conference. Athens, GA.

Moore, K. C. (2016, April). *Generalizing and undergraduate students’ ways of thinking for graphs*. Given as part of Generalizing Across Multiple Mathematical Areas, a research symposium held at the National Council of Teachers of Mathematics Research Conference. San Francisco, CA.

Stevens, I. E. (2016, April). *A proposed study into preservice teachers’ meanings for symbolic representations*. Poster presentation at the University of Georgia's First Annual EMAT 9640 and ESCI 9630 Presentations. Athens, GA.

Stevens, I. E., & Moore, K. C. (2016, April). *“I think I’m missing something”: How habits of graphing can impact students’ representations*. Poster presentation at the University of Georgia's College of Education Graduate Student and Faculty Research Conference. Athens, GA.

Moore, K., C., Silverman, J., & Sword, S. (2016, June). *Problematizing and assessing secondary mathematics teachers’ ways of** thinking*. National Science Foundation Discovery Research K-12 PI Meeting. Washington, DC.

Hobson, N. L. F., Moore, K. C., Stevens, I. E., Liang, B., & Mauldin, K. D. (2016, March). *Providing students experiences to model** novel situations. *Abstract presented at the American Mathematics Society Spring Southeastern Sectional Meeting at the University of Georgia. Athens, GA.

Moore, K. C., Paoletti, T., Stevens, I. E., Hobson, N. L. F. (2016, February). *Graphing habits: “I just don’t like that”**. *Paper presented at the Nineteenth Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Pittsburgh, PA.

Paoletti, T., & Moore, K. C. (2016, February). *Covariational and parametric reasoning**. *Paper presented at the Nineteenth Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Pittsburgh, PA.

Moore, K. C. (2016, February). *Students’ ways of thinking about graphs: “I just don’t like that”*. Texas State University Department of Mathematics Colloquium Series. San Marcos, TX.

Moore, K. C. (2016, January). *Graphing habits and students’ thinking about graphs emergently**.* Abstract presented at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America. Seattle, WA.

Paoletti, T. (2015, December). *Examining and supporting pre-service teachers’ inverse function meanings*. Presentation for the Mathematics Education Seminar Series at Montclair State University, Montclair, NJ.

Paoletti, T. (2015, November). *Considering and studying students' mathematics: A journey from TCNJ to a Ph.D. in Mathematics** Education*. Presentation for the College of New Jersey Mathematics Department, Ewing, NJ.

Moore, K. C. (2015, November). *What does it mean to understand an idea or concept?** *University of Georgia Department of Mathematics Precalculus Teaching Seminar. Athens, Ga.

Moore, K. C., & Silverman, J. (2015, November). *Maintaining conventions and constraining abstractions*. Paper presented at the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. East Lansing, MI.

Paoletti, T. (2015, November). *Reasoning quantitatively to develop inverse function meanings**. *Paper presented at the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, East Lansing, MI.

Stevens, I. E., Hobson, N. L. F., Moore, K. C., Paoletti, T., LaForest, K. R., & Mauldin, K. D. (2015, November). *Changing cones:Themes in students' representation of a dynamic situation*. Paper presented at the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. East Lansing, MI.

Paoletti, T., Mauldin, K. D., Moore, K. C., Stevens, I. E., Hobson, N. L. F., & LaForest, K. R. (2015, November). *Changing cones: Students’ images of a dynamic situation*. Paper presented as a poster at the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. East Lansing, MI.

Stevens, I. E., LaForest, K. R., Hobson, N. L. F., Paoletti, T., & Moore, K. C. (2015, November). *Undergraduate students’ inverse strategies and meanings*. Paper presented as a poster at the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. East Lansing, MI.

Stevens, I.** **E. (2015, October) *Changing cones and covariational reasoning*. Presentation at the 56^{th} Georgia Mathematics Conference. Eagleton, GA.

Moore, K. C. (2015, March). *Conventions shaping students’ ways of thinking*. Kennesaw State University Department of Mathematics Colloquium. Kennesaw, GA.

Moore, K. C. (2015, March). *Notation, function, and conventions**. *University of Georgia Department of Mathematics Math Teaching Seminar. Athens, Ga.

Mauldin, K. D. (2015, March). *Changing cones: Students’ images of a dynamic situation**. *The University of Georgia's Fifteenth Annual Center for Undergraduate Research Opportunities Symposium. Athens, GA.

Moore, K. C., & Thompson, P. W. (2015, February). *Shape thinking and students’ graphing activity. *Paper presented at the Eighteenth Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Pittsburgh, PA.

Moore, K. C., & Paoletti, T. (2015, February). *Bidirectionality and covariational reasoning**. *Paper presented at the Eighteenth Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Pittsburgh, PA.

Paoletti, T. (2015, February). *Students’ reasoning when constructing quantitatively rich situations*. Paper presented at the Eighteenth Annual Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education (SIGMAA on RUME) Conference. Pittsburgh, PA.

Paoletti, T., Stevens, I. E., Hobson, Natalie L. F., LaForest, K. R., & Moore, K. C. (2015, February). *Pre-service teachers’ inverse** function meanings. *Paper presented at the Eighteenth Annual Special Interest Group of the Mathematical Association of America Conference on Research in Undergraduate Mathematics Education. Pittsburgh, PA.

Mauldin, K. D. (2015, February). *Changing cones: Students’ images of a dynamic situation.* Poster presentation at the University of Georgia's College of Education Graduate Student and Faculty Research Conference. Athens, GA.

Paoletti, T., Stevens, I. E., Hobson, N. L. F., & LaForest, K. L. (2015, February). *College students’ inverse function meanings.* Presentation for the University of Georgia Mathematics Club, Athens, GA.

Moore, K. C., Stevens, I., LaForest, K. (2014, October). *Functions as relationships and quantitative reasoning**.* Invited Presentation at the 55th Georgia Mathematics Conference. Eatonton, GA.