Recent Research Publications

The Mathematics Department faculty are very active in publishing their original research in academic journals, books, and conference proceedings. Below are some sample citations of the department’s recent publications (since 2017). This is not an exhaustive list. Please consult a faculty member’s profile page for a more detailed list of their publications and access to their curriculum vitae.

• Bal D., P. Bennett, S. English, C. Macrury, P. Prałat. 2021. Zero-forcing in random regular graphs. Journal of Combinatorics, Volume 12 (1) pp. 85-116.
• Bal D., J. DeGaetani. 2021. A note on a candy sharing game. The Art of Discrete and Applied Mathematics, Volume 4.
• Satyam V.R., A. Simpson, J. DiNapoli, X. Yao. 2021. Building a robot: Making mathematics visible in a non-formal STEM learning environment. PME-NA 42 Proceedings.
• DiNapoli J., E. Murray, D. O’Roark, J. Russell. 2021. Analyzing Teacher Learning in a Community of Practice Centered on Video Cases of Mathematics Teaching. Community for Advancing Discovery Research in Education Webinar.
• Dinapoli J., N. Delson, L. Van Den Einde, L. Cowan. 2021. Implementing a feedback hierarchy to support mathematical perseverance in a digital sketching application. INTED2021 Proceedings.
• Leonard H., V.D. Bonaccorso, J. DiNapoli, E. Murray. 2021. Methodological Advancements for Analyzing Teachers’ Learning in a Community of Practice. American Educational Research Association 2021 Proceedings.
• DiNapoli J., M. Amenya, L.V. D. Einde, N. Delson, E. Cowan. 2021. Simulating Remote Support for Mathematical Perseverance Through a Digital Sketching Application. Journal of Higher Education Theory and Practice.
• Greenstein S., D. Jeannotte, E. Fernández, J. Davidson, E. Pomponio, D. Akuom. 2021. Exploring The Interwoven Discourses Associated With Learning To Teach Mathematics In A Making Context. PME-NA 42 Proceedings.
• Mohamed M.M., T. Paoletti, M. Vishnubhotla, S. Greenstein, S.S. Lim. 2021. Supporting Students’ Meanings For Quadratics: Integrating Rme, Quantitative Reasoning And Designing For Abstraction. PME-NA 42 Proceedings.
• Pomponio E., S. Greenstein, D. Akuom. 2021. Harmony And Dissonance: An Enactivist Analysis Of The Struggle For Sense Making In Problem Solving. PMENA 2021.
• Akuom D.O., S. Greenstein. 2021. Prospective Mathematics Teachers’ Designed Manipulatives As Anchors For Their Pedagogical And Conceptual Knowledge. PMENA 2021.
• Munakata M., A. Vaidya, C. Monahan, E. Krupa. 2021. Promoting Creativity in General Education Mathematics Courses. PRIMUS, Volume 31.
• Golnabi A.H., E. Murray, H. Su. 2021. How Precalculus Course Coordination Can Impact Students’ Academic Performance. Journal of Higher Education Theory and Practice, Volume 21 (5).
• Chioffi D., S.O. Nita, V.N. Nita, B.G. Nita. 2021. Mathematics and Music: Finding and characterizing equally tempered scales using continued fractions approximations. Parabola, Volume 57 (2).
• Basu D., N. Panorkou. 2021. Utilizing Mathematics To Examine Sea Level Rise As An Environmental And A Social Issue. PME-NA 42 Proceedings.
• Panorkou N., T. York. 2021. Designing For An Integrated Stem+C Experience. PME-NA 42 Proceedings.
• Panorkou N., E. Germia. 2021. Examining Students’ Reasoning About Multiple Quantities. PME-NA 42 Proceedings.
• Panorkou N.. 2021. Exploring Students’ Dynamic Measurement Reasoning About Right Prisms and Cylinders. Cognition and Instruction.
• O’Meara J., A. Vaidya. 2021. A Network Theory Approach to Curriculum Design. Entropy, Volume 23 (10) pp. 1346.
• Vaidya A.. 2021. Entropy Binding: A General Semantics of Environmentalism. ETC: A Review of General Semantics, Volume 77 (3-4).
• Fitzgerald K., M. Massoudi, A. Vaidya. 2021. On the Modified Least Action Principle with Dissipation. European Journal of Mechanics B (Fluids), Volume 89 pp. 301-311.
• Vaidya A.. 2021. Contributions to the Teaching and Learning of Fluid Mechanics. Fluids, Volume 6 (8) pp. 296.
• Bal D., E. Schudrich. 2020. On the size Ramsey number of all cycles versus a path. arXiv Mathematics.
• Anastos M., D. Bal. 2020. A Ramsey Property of Random Regular and k-out Graphs. Journal of Graph Theory Volume 93 (3) pp. 363-371.
• Bal D., P. Bennett. 2020. The Bipartite K₂,₂-Free Process and Bipartite Ramsey Number b(2,t). The Electronic Journal of Combinatorics, Volume 27 (4).
• Bal D., R. Berkowitz, P. Devlin, M. Schacht. 2020. Hamiltonian Berge cycles in random hypergraphs. Combinatorics, Probability and Computing, Volume 30 (2).
• Chung B.J., A. Vaidya. 2020. Self-organization in physical and biological systems: Comment on “Morphogenesis as Bayesian inference: A variational approach to pattern formation and control in complex biological systems” by Franz Kuchling et al.. Physics of Life Reviews, Volume 33 pp. 115-118.
• Cutler J., N. Kass. 2020. Homomorphisms into Loop-Threshold Graphs. The Electronic Journal of Combinatorics, Volume 27 (2).
• Suppa S., J. DiNapoli, E. Thanheiser, J. Tobias, Y. Sheunghyun. 2020. Supporting Novice Mathematics Teacher Educators Teaching Elementary Mathematics Content Courses for the First Time.. The Mathematics Enthusiast, Volume 17 (3) pp. 493-536.
• DiNapoli J., E. Miller. 2020. Recognizing and Supporting Perseverance in Mathematical Problem-Solving via Conceptual Thinking Scaffolds. International Society of the Learning Sciences.
• Marzocchi A.S., J. Dinapoli. 2020. Infusing Pedagogy in Mathematics Content Courses for Future Elementary Teachers. IUMPST: The Journal. Volume 2 (Pedagogy).
• Dinapoli J., M. Amenya, L. Van Den Einde, N. Delson, E. Cowan. 2020. Supporting Mathematical Perseverance Remotely Through A Digital Sketching Application. International Conference of Education, Research and Innovation Proceedings.
• Dinapoli J., H. Morales. 2020. Translanguaging to Persevere: Supporting and Recognizing the Meaning-Making Process for Latinx Bilingual Students of Mathematics. Teaching for Excellence and Equity in Mathematics, Volume 11 (2) pp. 26-34.
• Golnabi A.H., E. Murray, H. Su. 2020. Effects of course coordination and part-time precalculus instructor support on student academic performance. Polytechnic University of Valencia Congress, Sixth International Conference on Higher Education Advances.
• Zhang D., A. Indyk, S. Greenstein. 2020. Effects of Schematic Chunking on Enhancing Geometry Performance in Students With Math Difficulties and Students at Risk of Math Failure. Learning Disability Quarterly.
• Li A, R. Miller, R.P. Tucci. 2020. A Note on the Uniqueness of Zero-Divisor Graphs with Loops (Research). Advances in Mathematical Sciences. Association for Women in Mathematics Series, Volume 21 pp. 173-179.
• Monahan C., M. Munakata, A. Vaidya. 2020. Engaging in Probabilistic Thinking through Play. Mathematics Teacher: Learning and Teaching PK-12, Volume 113 (9).
• Monahan, C., M. Munakata, A. Vaidya, S. Gandini. 2020. Inspiring Mathematical Creativity through Juggling. Journal of Humanistic Mathematics, Volume 10 (2) pp. 291-314.
• Karlson M., B.G. Nita, A. Vaidya. 2020. Numerical Computations of Vortex Formation Length in Flow Past an Elliptical Cylinder. Fluids, Volume 5 (3) pp. 157.
• Germia E., N. Panorkou. 2020. Exploring Angles in a Programming Environment. Cognitive and Affective Studies of STME pp. 121-129.
• Germia E., N. Panorkou. 2020. Using Scratch Programming to Explore Coordinates. Mathematics Teacher: Learning and Teaching PK-12 Volume 113 (4) pp. 293-300.
• Panorkou N., E. Germia. 2020. Examining Students’ Quantitative Reasoning in a Virtual Ecosystem Simulation of the Water Cycle . ICLS 2020 Proceedings.
• Panorkou N.. 2020. Reasoning Dynamically About the Area of a Rectangle: The Case of Lora and Isaac. Digital Experiences in Mathematics Education .
• Panorkou N., E.F. Germia. 2020. Integrating math and science content through covariational reasoning: the case of gravity. Mathematical Thinking and Learning.
• Basu D., N. Panorkou, M. Zhu, P. Lal, B.K. Samanthula. 2020. Exploring the Mathematics of Gravity. Mathematics Teacher: Learning and Teaching PK-12, Volume 113 (1).
• Panorkou N.. 2020. Dynamic Measurement Reasoning for Area and Volume. For the Learning of Mathematics, Volume 40 (3) pp. 9-13.
• Moore K.C., B. Liang, I.E. Stevens, H. Tasova, T. Paoletti, Y. Ying. 2020. A Quantitative Reasoning Framing of Concept Construction. Conference: Proceedings of the Twenty-Third Annual Conference on Research in Undergraduate Mathematics Education.
• Samanthula B.K., M. Mehran, M. Zhu, N. Panorkou, P. Lal. 2020. Experiences Toward An Interactive Cloud-Based Learning System for STEM Education. IEEE Integrated STEM Education Conference (ISEC) Proceedings.
• Rana P., P. Bose, A. Vaidya, V. Rangachari, P. Ghosh. 2020. Global fitting and parameter identifiability for amyloid-β aggregation with competing pathways. 2020 IEEE 20th International Conference on Bioinformatics and Bioengineering (BIBE).
• Ghosh P., P. Rana, V. Rangachari, J. Saha, E. Steen, A. Vaidya. 2020. A game-theoretic approach to deciphering the dynamics of amyloid-β aggregation along competing pathways. Royal Society Open Science, Volume 7 (4).
• Ghosh P., J. Pateras, V. Rangachari, A.Vaidya. 2020. A network thermodynamic analysis of amyloid aggregation along competing pathways. Applied Mathematics and Computation, Volume 393.
• Bal D., L. DeBiasio. 2019. New lower bounds on the size-Ramsey number of a path. arxiv.org.
• Araneo J., B.J. Chung, M. Cristaldi, J. Pateras, A. Vaidya, R. Wulandana. 2019. Experimental control from wake induced autorotation with applications to energy harvesting. International Journal of Green Energy, Volume 16 (15).
• DiNapoli J.. 2019. “Getting Better at Sticking with It”: Examining Perseverance Improvement in Secondary Mathematics Students. PME-NA 41 Proceedings.
• Morales H., J. DiNapoli, C. Willey. 2019. Translanguaging to Persevere: Exploring Latinx Bilingual Students’ Collective Problem-solving. PME-NA 41 Proceedings.
• Fernández E., E. Leszczynski. 2019. Engaging Mathematically in Synchronous Platforms: Examples and Insights. Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education.
• Greenstein S., E. Fernandez, J. Davidson. 2019. Revealing Teacher Knowledge Through Making: A Case Study of Two Prospective Mathematics Teachers. PME-NA 41 Proceedings.
• Greenstein S., M. Russo. 2019. Teaching for Social Justice through Critical Mathematical Inquiry. Occasional Paper Series, Volume 41.
• Basu D., Greenstein S.. 2019. Cultivating a Space for Critical Mathematical Inquiry through Knowledge-Eliciting Mathematical Activity. Occasional Paper Series, Volume 41.
• Monahan C., M. Munakata, A. Vaidya. 2019. Creativity as an Emergent Property of Complex Educational System. Northeast Journal of Complex Systems.
• Trabona K., M. Taylor, E.J. Klein, M. Munakata, Z. Rahman. 2019. Collaborative professional learning: cultivating science teacher leaders through vertical communities of practice. Professional Development in Education, Volume 45 (3).
• Krupa E.E., M. Munakata, K. Yu. 2019. A Math Field Day: Embed Content with Play. Mathematics Teaching in the Middle School, Volume 24 (5) pp. 296-299.
• Nita B., S. Ramanathan. 2019. Fluids in Music: The Mathematics of Pan’s Flutes. Fluids, Volume 4 (4) pp. 181.
• Basu D., N. Panorkou. 2019. Integrating Covariational Reasoning and Technology into the Teaching and Learning of the Greenhouse Effect. Journal of Mathematics Education, Volume 12(1), pp. 6-23.
• Basu D., N. Panorkou. 2019. Expanding Students’ Contextual Neighbourhoods Of Measurement Through Dynamic Measurement. Proceedings of the 40th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education.
• Panorkou N.. 2019. Examining Dynamic Measurement Reasoning for Area and Volume. PME-NA 41 Proceedings.
• Panorkou N.. 2019. Exploring dynamic measurement for volume. PME 43 Conference of the International Group Proceedings .
• Basu D., N. Panorkou, M. Zhu. 2019. Examining the Social Aspect of Climate Change through Mathematics. IEEE Integrated STEM Education Conference (ISEC) 2019 Proceedings.
• Paoletti T., M. Vishnubhotla, M. Mohamed. 2019. Reasoning Covariationally To Develop Productive Meanings Of Systems Of Relationships And Inequalities. 43rd Annual Meeting of the International Group for the Psychology of Mathematics Education, Volume 4.
• Paoletti, T., S. Greenstein, M. Vishnubhotla, M. Mohamed. 2019. Designing Tasks and 3D Physical Manipulatives to Promote Students’ Covariational Reasoning. PME 43 Conference of the International Group Proceedings .
• Cutler J., A.J. Radcliffe. 2018. Minimizing the number of independent sets in triangle-free regular graphs. Discrete Mathematics, Volume 341 (3).
• DiNapoli J.. 2018. Leveraging collaborative competition in mathematics classrooms. Australian Mathematics Teacher, Volume 74 (2) pp. 10-18.
• DiNapoli J.. 2018. Supporting secondary students’ perseverance for solving challenging mathematics tasks. PME-NA 40 Proceedings.
• Morales H., J. DiNapoli. 2018. Latinx bilinguals’ perseverance on a mathematical task. PME-NA 40 Proceedings.
• Morales H., J. DiNapoli. 2018. Latinx Bilingual Students’ Perseverance on a Mathematical Task: A Rehumanizing Perspective. Journal of Research in Mathematics Education, Volume (3).
• Suppa S., J. DiNapoli, R. Mixell. 2018. Teacher Preparation “Does” Matter: Relationships between Elementary Mathematics Content Courses and Graduates’ Analyses of Teaching. Mathematics Teacher Education and Development, Volume 20 (2) pp. 25-57.
• Greenstein S.. 2018. Designing a Microworld for Topological Equivalence. Digital Experiences in Mathematics Education, 4(1), 1-19.
• Greenstein S., S. Baglieri. 2018. Imagining Mathematical Thinking for Inclusive Curriculum: A Conversation. Investigations in Mathematics Learning, 10(3), 1-12.
• Greenstein S., J. Seventko. 2018. Race to 20. Teaching Children Mathematics, Volume 24 (5) pp. 336.
• Greenstein S., J. Olmanson. 2018. Reconceptualizing Pedagogical and Curricular Knowledge Development Through Making . Emerging Learning Design Journal.
• Casey S., K. Lesseig, E. Krupa, D. Monson. 2018. Examining Preservice Secondary Mathematics Teachers’ Responses to Student Work to Solve Linear Equations. Mathematics Teacher Education and Development.
• Monahan C., M. Munakata, A. Vaidya. 2018. Mathematical Creativity through Play: A Sample Lesson in Probability. accepted for publication in Mathematics Teacher.
• Vishnubhotla M., M. Munakata. 2018. The Mathematics of Loopy Picture Frames. National Council of Teachers of Mathematics Volume 23 Issue 4 pp. 231-235.
• Taylor M., E.J. Klein, M. Munakata, K. Trabona, Z. Rahman, J. McManus. 2018. Professional development for teacher leaders: using activity theory to understand the complexities of sustainable change. International Journal of Leadership in Education, Volume 22 (6).
• Klein E.J., M. Taylor, M. Munakata, K. Trabona, Z. Rahman, J. McManus. 2018. Navigating Teacher Leaders’ Complex Relationships Using a Distributed Leadership Framework. Teacher Education Quarterly, Volume 45 (2) pp. 89-112.
• Rahman Z.G., M. Munakata, E. Klein, M. Taylor, K. Trabona. 2018. Growing our Own: Fostering Teacher Leadership in K-12 Science Teachers through School–University Partnerships. J. Hunzicker (Ed.), Teacher Leadership in Professional Development Schools pp. 235-253.
• Murray E., K. Durkin, T. Chao, J.R. Star, R. Vig. 2018. Exploring connections between content knowledge, pedagogical content knowledge, and the opportunities to learn mathematics: Findings from the TEDS-M dataset. Mathematics Teacher Education and Development.
• Basu D., N. Panorkou. 2018. Examining the social aspects of the Greenhouse Effect through Mathematical Modeling. PME-NA 40 Proceedings.
• Basu D., N. Panorkou. 2018. Expanding students’ contextual neighborhoods of measurement through dynamic measurement. PME-NA 40 Proceedings.
• Panorkou N., D. Basu, M. Vishnubhotla. 2018. Investigating volume as base times height through dynamic task design. PME-NA 40 Proceedings.
• Panorkou N.. 2018. Rethinking the Teaching and Learning of Area Measurement. ICLS 2018 Proceedings.
• Paoletti T., I.E. Stevens, N.L.F. Hobson, K.C. Moore, K.R. LaForest. 2018. Inverse function: Pre-service teachers’ techniques and meanings. Educational Studies in Mathematics, 97(1), 93-109.
• Paoletti T., V. Krupnik, D. Papadopoulos, J. Olsen, T. Fukawa-Connelly, K. Weber. 2018. Teacher questioning and invitations to participate in advanced mathematics lectures. Educational Studies in Mathematics, 98(1), 1-17.
• Rana P., D.N. Dean, A. Vaidya, V. Rangachari, P. Ghosh. 2018. A review of experiments and modeling of Aβ-lipid/Surfactant interactions. Biophysica Bichimica Acta-Biomembranes, Volume 1860 pp. 1652-1662.
• Massoudi M., A. Vaidya. 2018. Simplicity and Sustainability: Pointers from Ethics and Science. accepted for publication in Sustainability (special issue on Sustainability and Ethics: Reflections on the UN Sustainable Development Goals), Volume 10 Issue 4, pp. 1303.
• Bal D., L. DeBiasio. 2017. Partitioning random graphs into monochromatic components. Electron. J. Combin. 24, Issue 1, Paper #P1.18.
• Bal D., P. Bennett, T. Bohman, A. Frieze. 2017. A greedy algorithm for finding a large 2‐matching on a random cubic graph. Journal of Graph Theory Volume 88 (3) pp. 449-481.
• Cutler J., L. Pebody. 2017. Maximal-clique partitions and the Roller Coaster Conjecture. Journal of Combinatorial Theory Series A 145 pp. 25-35.
• Cutler J., A.J. Radcliffe. 2017. The maximum number of complete subgraphs of fixed size in a graph with given maximum degree. Journal of Graph Theory 84 pp. 134-145.
• Greenstein S., E. Leszczynski, E. Fernandez. 2017. 3D Designing for Mathematical Learning. Mathematics Teaching in the Middle School, 23(1), 51-52.
• Greenstein S., C. Ekici. 2017. At the Intersection of Teaching and Cultural Diversity: Modeling a Culturally Responsive Mathematics Pedagogy for the U.S. Virgin Islands. Journal of Mathematics and Culture.
• Krupa E., M. Huey, K. Lesseig, S. Casey, D. Monson. 2017. Investigating Secondary Preservice Teacher Noticing of Students’ Mathematical Thinking. E. O. Schack, J. Wilhelm, & M. H. Fisher (Eds.). Research in Mathematics Education (Volume 6): Springer.
• Krupa E., M. Huey, K. Lesseig, S. Casey, D. Monson. 2017. Investigating Secondary Preservice Teacher Noticing of Students’ Mathematical Thinking. In E. O. Schack, J. Wilhelm, & M. H. Fisher (Eds.). Research in Mathematics Education (Volume 6): Springer.
• Leszczynski E., E. Murray, M. Petrou. 2017. Unpacking division of fractions. OnCore.
• Leszczynski E., C. Monahan, M. Munakata, A. Vaidya. 2017. The Windwalker Project: An Open-Ended Approach to Physics Instruction. Journal of College Science Teaching (National Science Teacher’s Association), Volume 46 Issue 6 pp. 27-33.
• Murray E., E. Baldinger, N. Wasserman, S. Broderick, D. White. 2017. Connecting advanced and secondary mathematics. Undergraduate Mathematics Preparation of School Teachers: The Journal.
• Nita B., P. Nolan, A. Vaidya. 2017. Numerical Study of Body Shape and Wing Flexibility in Fluid Structure Interaction. accepted for publication in Computational and AMSTematics, Volume 36 Issue 4 pp. 1733-1746.
• Panorkou N., J. Kobrin. 2017. Enhancing Teachers’ Formative Assessment Practices through Learning Trajectory-Based Professional Development. Mathematics Teacher Educator. Mathematics Teacher Educator.
• Paoletti T., M. Vishnubhotla, Z. Rahman, J. Seventko, D. Basu. 2017. Comparing graph use in STEM textbooks and practitioner journals. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, & S. Brown (Eds.). Proceedings of the Twentieth Annual Conference on Research in Undergraduate Mathematics Education (pp. 1386-1392). San Diego, CA.
• Paoletti T., C. Monahan, M. Vishnubhotla. 2017. Designing GeoGebra applets to maximize student engagement. Mathematics Teacher, 110(8), 628-630.
• Paoletti T., J. Silverman, C. Monahan, Z. Rahman, M. Vishnubhotla, E.F. Germia. 2017. Graphing Rules or Understandings? Teachers’ Understandings. . 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. 536). Indianapolis, IA: Hoosier Association of Mathematics Teacher Educators.
• Stevens I.E., T. Paoletti, K.C. Moore, B. Liang, H.H. Hardison. 2017. Principles for Designing Tasks that Promote Covariational Reasoning. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, & S. Brown (Eds.). Proceedings of the 20th Annual Conference on Research in Undergraduate Mathematics Education (pp. 928–936). San Diego, CA.
• Paoletti T.. 2017. Quantitative Reasoning and Inverse Function: A Mismatch. 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. 973-976). Indianapolis, IA: Hoosier Association of Mathematics Teacher Educators.
• Paoletti T., K.C. Moore, Moore. 2017. The parametric nature of two students’ covariational reasoning. The Journal of Mathematical Behavior, 48, 137-151.
• Paoletti T., Stevens, K.C. Moore. 2017. Tricks may inhibit student reasoning. Mathematics Teacher, 110(6), pp. 446-453.
• Chung B.J., B. Ortega, A. Vaidya. 2017. Entropy Production in a Fluid-Solid System Far From Thermodynamic Equilibrium. European Physical Journal E: Soft Matter and Biological Physics, Volume 40 pp. 105.
• Rana P., D.N. Dean, E. Steen, A. Vaidya, V. Rangachari, P. Ghosh. 2017. Fatty Acid Concentration and Phase Transitions Modulate Aβ Aggregation Pathways. Scientific Reports (Nature) Volume 7 Article 10370 pp. 1-16.
• Castillo D., B.J. Chung, K. Schnitzer, K. Soriano, A. Vaidya. 2017. Metastable states in orientation of hinged symmetric bodies in a flow. International Journal of Engineering Science, Volume 111 pp. 19-27.