A Faculty Learning Community Implements Research-based Curriculum and Pedagogy to Redesign Precalculus

REFERENCES

• Alberte, J., G. Barreto, A. Cruz, N. Rodriguez, and T. Pitzer. 2013. Ten year cumulative analysis on the implementation of PLTL in biology undergraduate education. Proceedings of the Conference of the Peer-Led Team Learning International Society. Houston, Texas.
   Google Scholar
• Asiala, M., A. Brown, D. Devries, D. Mathews, and K. Thomas. 1996. A framework for research and curriculum development in undergraduate mathematics education, research in collegiate mathematics education II. CBMS Issues in Mathematics Education. 6: 1–32.
   Google Scholar
• Brewe, E. 2008. Modeling theory applied: Modeling instruction in introductory physics. American Journal of Physics. 76: 1155.
   Web of Science ®Google Scholar
• Brewe, E., L. Kramer, and G. O’Brien. 2009. Modeling instruction: Positive attitudinal shifts in introductory physics measured with CLASS. Physical Review Special Topics - Physics Education Research. 5: 013102.
   Google Scholar
• Carlson, M. 1998. A cross-sectional investigation of the development of the function concept. In E. Dubinsky, A. H. Schoenfeld, and J. Kaput (Eds), Research in Collegiate Mathematics Education III, pp. 114–162. Providence, RI: American Mathematical Society.
   Google Scholar
• Carlson, M. 2018. Calculus Readiness Exam. Unpublished Measurement Instrument.
   Google Scholar
• Carlson, M., I. Bloom, and P. Glick. 2008. Promoting effective mathematical practices in students: Insights from problem solving research. In M. Carlson and C. Rasmussen (Eds), Making the Connection: Research and Teaching in Undergraduate Mathematics Education, pp. 275–288. Washington, DC: Mathematical Association of America.
   Google Scholar
• Carlson, M., S. Jacobs, E. Coe, S. Larsen, and E. Hsu. 2002. Applying covariational reasoning while modeling dynamic events: A framework and a study. Journal for Research in Mathematics Education. 33: 352–378.
   Web of Science ®Google Scholar
• Carlson, M., M. Oehrtman, and N. Engelke. 2010. The Precalculus concept assessment: A tool for assessing students’ reasoning abilities and understandings. Cognition and Instruction. 28: 113–145.
   Web of Science ®Google Scholar
• Carlson, M., M. Oehrtman, K. Moore, and A. O’Bryan. 2020. Precalculus: Pathways to Calculus. A Problem Solving Approach, 8th Edition Student Workbook. Plymouth, MI: Hayden-McNeil.
   Google Scholar
• Castillo, A., C. Watson, P. Duran, E. Fuller, G. Potvin, and L. Kramer. 2020. Active learning approaches and student self-confidence in calculus: A preliminary report. Proceedings of the 23rd Annual Conference on Research in Undergraduate Mathematics Education. Boston, MA.
   Google Scholar
• Cox, M. D. 2004. Introduction to faculty learning communities. New Directions for Teaching and Learning. 2004(97): 5–23.
   Google Scholar
• Florida Department of Education. 2020. Statewide course numbering system. https://flscns.fldoe.org/TaxonomyList.aspx.
   Google Scholar
• Florida International University. 2015. Beyond possible 2020 strategic plan. https://president.fiu.edu/download/beyond-possible-2020-strategic-plan2015-2020/?wpdmdl=9404.
   Google Scholar
• Florida International University. 2020. About FIU. https://www.fiu.edu/about/index.html.
   Google Scholar
• Florida International University, Office of Analysis & Information Management. 2019. Student perceptions & behavior survey, Spring 2019.
   Google Scholar
• Furco, A. and B. E. Moely. 2012. Using learning communities to build faculty support for pedagogical innovation: A multi-campus study. The Journal of Higher Education. 83(1): 128–153.
   Web of Science ®Google Scholar
• Goertzen, R. M., E. Brewe, L. H. Kramer, L. Wells, and D. Jones. 2011. Moving toward change: Institutionalizing reform through implementation of the Learning Assistant model and Open Source Tutorials. Physical Review Special Topics - Physics Education Research. 7: 020105.
   Google Scholar
• McNicholl, T. H., K. Frank, K. Hogenson, J. Roat, and M. P. Carlson. 2021. Improving student success and supporting student meaning-making in large-lecture Precalculus classes. PRIMUS. 31(7): 792–810.
   Google Scholar
• Moore, K. C. and M. P. Carlson. 2012. Students’ images of problem contexts when solving applied problems. The Journal of Mathematical Behavior. 31(1): 48–59.
   Google Scholar
• Nilson, L. 2015. Specifications Grading: Restoring Rigor, Motivating Students, and Saving Faculty Time. Sterling, VA: Stylus Publishing.
   Google Scholar
• Oehrtman, M., M. Carlson, and P. W. Thompson. 2008. Foundational reasoning abilities that promote coherence in students’ function understanding. In M. Carlson and C. Rasmussen (Eds), Making the Connection: Research and Teaching in Undergraduate Mathematics Education, pp. 27–42. Washington, DC: Mathematical Association of America.
   Google Scholar
• Rational Reasoning, LLC. 2019. Sliding Interval Applet for Exponential Growth. https://imathas.rationalreasoning.net/.
   Google Scholar
• Reinhold, J. September 2, 2016. Active Learning & Adaptive Assessment in a Large Enrollment Physics Class. Colloquium presented to the Department of Physics, FIU, Miami, FL.
   Google Scholar
• Rose, S. and L. Wells. June 3, 2015. Student Success and Retention through Transformation of Lower Division STEM Critical Courses. [Conference presentation]. Science-Math Teaching Imperative 2015 Conference. New Orleans, LA, United States.
   Google Scholar
• State University System of Florida. 2019. Performance Based Funding Overview. https://www.flbog.edu/wp-content/uploads/Overview-Doc-Performance-Funding-10-Metric-Model-Condensed-Version-Nov-2019.pdf.
   Google Scholar
• Swamy, U. and L. Wells. March 19, 2019. It Takes a Village: Growth of Evidence-Based Teaching Practices in Gateway Chemistry Courses through Varied Stakeholders and Institutional Units [Conference presentation]. 2019 Gateway Course Experience Conference, Atlanta, GA, United States.
   Google Scholar
• Tallman, M., M. P. Carlson, D. Bressoud, and M. Pearson. 2016. A characterization of calculus I final exams in U.S. colleges and universities. International Journal of Research in Undergraduate Mathematics Education. 2(1): 105–133.
   Google Scholar
• Thompson, P. W. 1985. Experience, problem solving, and learning mathematics: Considerations in developing mathematics curricula. In E. A. Silver (Ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives, pp. 189–243. Hillsdale, NJ: Erlbaum.
   Google Scholar
• Winkelmes, M. 2013. Transparency in teaching: Faculty share data and improve students’ learning. Liberal Education. 2: 48. https://onlinelearningconsortium.org/wp-content/uploads/2016/05/OLC-Handout-June-10-2016_winkelmes.pdf.
   Google Scholar