List of publications related to the project:

**Publications**

- Wangberg, A. (2020). Student Reasoning with Graphs, Contour Maps, and Rate of Change for Multivariable Functions. In Proceedings of the 23rd Annual Conference on Research in Undergraduate Mathematics Education (CRUME)
- Wangberg, A. & Gire, E. (2019). Raising Calculus to the Surface: Extending derivatives and concepts with multivariable representations. In Calculus in upper secondary and beginning university mathematics – Conference proceedings. J. Monaghan, E. Nardi and T. Dreyfus (Eds.), Kristiansand, Norway: MatRIC. https://matric-calculus.sciencesconf.org/
- Brian Fisher, Jason Samuels, Aaron Wangberg, Eric Weber (2018). The Gold Mine: Tangent Plane Approximation using Tangible Surfaces.
*Tactile Learning Activities in Mathematics: A Recipe Book for the Undergraduate Classroom. Julie Barnes-Jessica Libertini - Maa Press, an imprint of the American Mathematical Society.* *Aaron Wangberg, Tisha Hooks, Elizabeth Gire, Jason Samuels and Brian Fisher (2017). Factors influencing instructor use of student ideas in the multivariable calculus classroom. In Proceedings of the 20th Annual Conference on Research in Undergraduate Mathematics Education (CRUME).**Brian Fisher and Jason Samuels (2017). Instrumental Genesis and Generalization in Multivariable Calculus. In Proceedings of the 20th Annual Conference on Research in Undergraduate Mathematics Education (CRUME)**John Thompson, Benjamin Schermerhorn and J. Caleb Speirs (2017). Student Understanding of Elements of Multivariable Calculus. In Proceedings of the 20th Annual Conference on Research in Undergraduate Mathematics Education (CRUME).**Wangberg, A. & Gire, E. & Fisher, B. & Samuels, J. (2016). A case for whole class discussion: Two case studies of the interaction between instructor role and instructor experience with a research-informed curriculum. In Fukawa-Connolly, Karakok, Keene & Zandieh (Eds.) Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education (CRUME).**Wangberg, A. & Gire, E. & Fisher, B. & Samuels, J. (2016). A case study on the impact of investigating multivariable calculus concepts through geometry and multiple representations.. 13th Annual International Congress on Mathematics Education.. Hamburg, Germany.**Brian Fisher, Jason Samuels and Aaron Wangberg (2016). Student conceptions of definite integration and accumulation functions. In (Eds.) T. Fukawa-Connelly, N. Infante, M. Wawro, and S. Brown, Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education, Pittsburgh, Pennsylvania.**Discovering Calculus on the Surface Aaron Wangberg, Ben Johnson. PRIMUS Vol. 23, Iss. 7, 2013. [Note:**This is an Author's Accepted Manuscript of an article published in PRIMUS, 2013 ©Taylor & Francis, available online at:**http://www.tandfonline.com/10.1080/10511970.2013.775202*

**Presentations**

*Wangberg, A., Fisher, B., Samuels, J., Hooks, T., Gire, E. (2019). Raising Calculus to the Surface: Using physical manipulatives to discovering multivariable calculus concepts.. Joint Mathematics Meetings of the AMS and MAA. Baltimore, MD.**Wangberg, A., Samuels, J., Fisher, B., Gire, E., Hooks, T. (2019). Raising Calculus to the Surface. Joint Mathematics Meetings of the AMS and MAA.. Baltimore, MD.**Alfson, J., Emigh, P., Wangberg, R., Wangberg, A., and Gire, E. (2018). Visualizing Multivariable Functions with 3D Plastic Surfaces.. American Association of Physics Teachers Summer Meeting.. Washington, D.C..**Wangberg, A., Wangberg, R., and Gire, E. (2018). Incorporating New Materials, Content, and Pedagogy in Professional Development Workshops.. American Association of Physics Teachers Summer Meeting.. Washington, D.C..**Gire, E., Alfson, J., Emigh, P., Wangberg, R., and Wangberg, A. (2018). Helping Students Learn Thermo with Raising Physics to the Surface.. 2018 Physics Education Research Conference.. Washington, D.C..**Manogue, C., Dray, T., Emigh, P., Gire, E., Kustusch, B., Vignal, M., Alfson, J., and Wangberg, A. (2018). Encouraging Students to Have Wonderful Ideas About Functions of Several Variables in Multiple Physics Contexts.. 2018 Physics Education Research Conference. Washington, D.C.**Wangberg, A. Gire, E., & Wangberg, R. (2019). Collaborative Research: Raising Physics to the Surface.. Joint Mathematics Meetings of the AMS and MAA.. Baltimore, MD.**Wangberg, R., Wangberg, A., and Gire, E. (2018). Activities Exploring Potentials and Electric Fields Using Raising Physics to the Surface Manipulatives.. American Association of Physics Teachers Summer Meeting.. Washington D.C.**Aaron Wangberg, Elizabeth Gire, Robyn Wangberg (2018). From concrete to abstract: Student discoveries and conjectures using physical surfaces in multivariable calculus and physics.. Joint Mathematics Meetings of the MAA & AMS. San Diego, CA.**Aaron Wangberg (2018). Inquiry in Multivariable Calculus using tangible surfaces.. Joint Mathematics Meetings of the MAA & AMS. San Diego, CA.**Aaron Wangberg, Elizabeth Gire (2017). Physicists’ Use of Raising Calculus Materials in Mathematical Methods. American Association of Physics Teachers. Cincinnati, Ohio.**Aaron Wangberg (2018). Promoting Discussion Using Manipulatives in Multivariable Calculus. National IBL Conference. Austin, TX.**Aaron Wangberg, Jason Samuels, Brian Fisher, Elizabeth Gire, Tisha Hooks (2018). Raising Calculus to the Surface.. Joint Mathematics Meetings of the MAA & AMS. San Diego, CA.**Wangberg, A. & Gire, E. & Fisher, B. & Samuels, J. (2016). A case study on the impact of investigating multivariable calculus concepts through geometry and multiple representations. 13th Annual International Congress on Mathematics Education.. Hamburg, Germany.**Aaron Wangberg, Tisha Hooks, Brian Fisher, Jason Samuels (2016). Factors Influencing Instructor Use of Student Ideas in the Multivariable Calculus Classroom. Fall Meeting of the North Central Section of the MAA. Minneapolis, MN.**Aaron Wangberg, Tisha Hooks, Elizabeth Gire, Jason Samuels and Brian Fisher (2017). Factors influencing instructor use of student ideas in the multivariable calculus classroom. Conference on Research on Undergraduate Mathematics Education. San Diego, CA.**Brian Fisher, Jason Samuels (2017). Instrumental Genesis and Generalization in Multivariable Calculus. Conference on Research on Undergraduate Mathematics Education. San Diego, CA.**Aaron Wangberg, Jason Samuels, Brian Fisher, Tisha Hooks, Elizabeth Gire (2017). Raising Calculus to the Surface.. 2017 Joint Mathematics Meetings. Atlanta, GA.**John Thompson, Benjamin Schermerhorn and J. Caleb Speirs (2017). Student Understanding of Elements of Multivariable Calculus. Conference on Research on Undergraduate Mathematics Education. San Diego, CA.**Aaron Wangberg, Brian Fisher, Jason Samuels, Tisha Hooks, Elizabeth Gire (2017). Supporting Instructional Change: The Raising Calculus to the Surface Project.. 2017 Joint Mathematics Meetings. Atlanta, GA.**Samuels, J. & Wangberg, A. & Fisher, B. (2015). Teaching multivariable calculus with 3-D manipulatives.. 41st American Mathematical Association of Two Year Colleges Annual Conference. New Orleans, LA.**Fisher, B. & Samuels, J. & Wangberg, A. (2016). Student conceptions of definite integration and accumulation functions. Conference on Research in Undergraduate Mathematics Education. Pittsburgh, PA.**Samuels, J. & Wangberg, A. & Fisher, B. (2016). Developing Deep Student Understanding of the Partial Derivative using 3D Manipulatives.. 99th Annual Joint Mathematics Meetings of the American Mathematical Association, Mathematical Association of America, and Society for Industrial and Applied Mathematics. Seattle, WA.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2015). A Geometric Viewpoint of Multivariable Derivatives.. North Central Section of the Mathematical Association of America Spring Conference. Winona, MN.**Samuels, J. & Wangberg, A. & Fisher, B. & Weber, E. (2015). An Innovative, Three-Dimensional Approach to Multivariable Calculus Instruction.. 98th Annual Joint Mathematics Meetings (JMM). San Antonio, TX.**Samuels, J. & Wangberg, A. & Fisher, B. & Weber, E. (2014). How do we raise calculus to the surface?: Exploring the motivation of multivariable calculus with 3D manipulatives.. Proof Comprehension Research Group (PCRG) at Rutgers University. Rutgers University, New Brunswick NJ.**Eric Weber, Corinne Manogue, Aaron Wangberg (with Tevian Dray, Brian Fisher, Jason Samuels) (2014). Issues in Multivariable Calculus: Rates, Representations and Reasoning. 17th Annual Conference on Research in Undergraduate Mathematics Education. Denver, CO.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2014). Making sense of multivariable settings: Discovering geometric reasoning with tangible surfaces.. Physics Education Research Conference (PERC). Minneapolis, MN.**Aaron Wangberg Brian Fisher Eric Weber Jason Samuels (2014). Raising Calculus to the Surface. MinnMATYC Spring Conference. Duluth, MN.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2015). Raising Calculus to the Surface. Department of Mathematics Teaching Seminar at University of Northern Colorado.. University of Northern Colorado, Greeley, Colorado.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2015). Raising Calculus to the Surface.. 98th Annual Joint Mathematics Meetings (JMM). San Antonio, TX.**Aaron Wangberg, Brian Fisher, Jason Samuels , Eric Weber (2015). Raising Calculus to the Surface.. MinnMATYC Spring Conference. Duluth, MN.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2015). Raising Calculus to the Surface.. Augsburg Colloquium. Augsburg College, Minneapolis, MN.**Brian Fisher, Eric Weber, Jason Samuels, Aaron Wangberg (2013). Raising Calculus to the Surface: Discovering Multivariable Calculus Concepts Using Physical Manipulatives. Southern California - Nevada Section of the MAA Fall Conference. California State University Dominguez Hills.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2014). Raising Calculus to the Surface: Discovering Geometry Using Tangible Models.. American Association of Physics Teachers Summer Meeting (AAPT). Minneapolis, MN.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2015). Raising Calculus to the Surface: Discovering geometric connections behind multivariable calculus.. 98th Annual Joint Mathematics Meetings (JMM). San Antonio, TX.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2014). Raising Calculus to the Surface: Discovering geometric reasoning in multivariable calculus.. Workshop on the Status of the Upper-Division Physics Curriculum Program. Corvallis, Oregon.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2014). Raising Calculus to the Surface: Engaging Discovery Using Tangible Models.. American Association of Physics Teachers Summer Meeting (AAPT). Minneapolis, MN.**Fisher, B. & Samuels, J. & Wangberg, A. & Weber, E. (2015). Raising Calculus to the Surface: Using Physical Surfaces to Facilitate Inquiry-Based Learning in Multivariable Calculus.. 98th Annual Joint Mathematics Meetings (JMM). San Antonio, TX.**Wangberg, A. & Fisher, B. & Samuels, J. & Weber, E. (2014). Raising Calculus to the surface in Physics: Explorations using surfaces. (Workshop). Physics Education Research Conference (PERC). Minneapolis, MN.**Aaron Wangberg Brian Fisher Eric Weber Jason Samuels (2014). Raising Calculus to the Surface. MinnMATYC Spring Conference. Duluth, MN. May 2-3, 2014.**Aaron Wangberg Eric Weber Brian Fisher Jason Samuels (2014). Student insight from Raising Calculus to the Surface. North Central Section of the Mathematical Association of America Spring Conference. St. Cloud, Minnesota. April 24-25, 2014**Brian Fisher Eric Weber Jason Samuels Aaron Wangberg (2014). Raising Calculus to the Surface. Lubbock Christian University Mathematics Seminar. Lubbock Christian University. April, 2014**Eric Weber, Corinne Manogue, Aaron Wangberg (with Tevian Dray, Brian Fisher, Jason Samuels) (2014). "Issues in Multivariable Calculus: Rates, Representations and Reasoning". Conference on Research on Undergraduate Mathematics Education, Denver, CO. February 27 - March 1, 2014.**Aaron Wangberg Brian Fisher Eric Weber Jason Samuels (2014). Raising Calculus To The Surface: Discovering Multivariable Calculus Concepts Using Physical Manipulatives. Conference on Research on Undergraduate Mathematics in Education. Denver, CO. February 27 - March 1, 2014.**"Raising Calculus to the Surface". MAA Poster Session of Projects, Supported by the NSF Division of Undergraduate Education. AMS/MAA/SIAM Joint Mathematics Meetings, Baltimore, MD. January 15-18, 2014.**Jason Samuels, Brian Fisher, Aaron Wangberg, Eric Weber (2013). Raising Calculus to the Surface.. The New York State Mathematics Association of Two-Year Colleges (NYSMATYC) Region IV Conference. Brooklyn, NY. October 20, 2013.**Brian Fisher, Eric Weber, Jason Samuels, Aaron Wangberg (2013). Raising Calculus to the Surface: Discovering Multivariable Calculus Concepts Using Physical Manipulatives. Southern California - Nevada Section of the MAA Fall Conference. California State University Dominguez Hills. October 12, 2013.*