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Abstract

Our study investigated the impact of active learning on student learning in a large, first-year, multi-section Calculus for Life sciences course(s). Two cohorts of students in control (traditional lectures) and experimental (active learning) conditions were compared based on achievement on identical test items, administered in a supervised in-person environment. We additionally held focus groups to ascertain student perspectives on active learning. Findings suggest that in both sets of cohorts, students in experimental conditions performed better, on average. Further, students felt that learning this way supported the development of transferable skills, such as work habits, self-directed learning and metacognition. We contend that with the combination of these results, in addition to our context and design, this study offers new evidence and insights into the impact of active learning in tertiary mathematics. We argue that, when implemented properly, active learning methods can improve student performance, even in large-enrollment and multi-section mathematics classes.

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Data Availability

Data collected in this study are available from the corresponding author upon reasonable request. Sharing of the data may be restricted to protect the confidentiality and privacy of participants, as per our ethics board approval protocol.

Notes

  1. The word “traditional” is used in this paper to reflect historically common pedagogy in higher education that relies on teacher-centered forms of teaching, most often lecturing (e.g., Kim et al., 2019).

  2. Note that we use the term “active learning” as shorthand for “active learning pedagogy.” We note that it is the learners who engage in active learning, and we seek to investigate pedagogical practices that support student’s active learning within classroom settings.

  3. This is not a supervised quiz, but merely a homework assignment labeled as 'a quiz' on our learning management system.

  4. “Highlights” are a component of each class structure where important ideas related to a concept/topic are discussed (this can be done orally, on a projected slide, a handout, etc.).

References

  • Aji, C. A., & Khan, M. J. (2019). The impact of active learning on students’ academic performance. Open Journal of Social Sciences, 7, 204–211.

    Article  Google Scholar 

  • Apkarian, N., Henderson, C., Stains, M., Raker, J., Johnson, E., & Dancy, M. (2021). What really impacts the use of active learning in undergraduate STEM education? Results from a national survey of chemistry, mathematics, and physics instructors. PLoS ONE, 16(2), e0247544.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Bennoun, S., & Holm, T. (2020). Establishing consistent active learning in a calculus I course. PRIMUS. https://doi.org/10.1080/10511970.2020.1746453

    Article  Google Scholar 

  • Bowers, J., Smith, W., Ren, L., & Hanna, R. (2019). Integrating active learning labs in precalculus: Measuring the value added. Investigations in Mathematics Learning, 11(1), 1–15.

    Article  Google Scholar 

  • Cavanagh, M. (2011). Students’ experiences of active engagement through cooperative learning activities in lectures. Active Learning in Higher Education, 12(1), 23–33.

    Article  Google Scholar 

  • Code, W., Piccolo, C., Kohler, D., & MacLean, M. (2014). Teaching methods comparison in a large calculus class. ZDM Mathematics Education, 46, 589–601.

    Article  Google Scholar 

  • Conference Board of the Mathematical Sciences. (2016). Active learning in post-secondary mathematics education. Retrieved January 1, 2018, from https://www.cbmsweb.org/wp-content/uploads/2016/07/active_learning_statement.pdf

  • Creswell, J. W., & Plano Clark, V. L. (2011). Designing and Conducting Mixed Methods Research. SAGE Publications.

    Google Scholar 

  • Deslauriers, L., Schelew, E., & Wieman, C. (2011). Improved learning in a large-enrollment physics class. Science, 332(6031), 862–864.

    Article  ADS  CAS  PubMed  Google Scholar 

  • Deslauriers, L., McCarty, L. S., Miller, K., Callaghan, K., & Kestin, G. (2019). Measuring actual learning versus feeling of learning in response to being actively engaged in the classroom. Proceedings of the National Academy of Sciences, 116(39), 19251–19257.

    Article  ADS  CAS  Google Scholar 

  • ETR. (2013). Best Practices in Research & Evaluation: Focus Groups. ETR Best Practice Guides. Scotts Valley CA. https://www.etr.org/ebi/assets/File/etr_best_practices_focus_groups.pdf

  • Faust, J. L., & Paulson, D. R. (1998). Active learning in the college classroom. Journal on Excellence in College Teaching, 9(2), 3–24.

    Google Scholar 

  • Flick, U. (2017). The Sage handbook of qualitative data collection. The SAGE Handbook of Qualitative Data Collection, 1–736.

  • Frederick, P. J. (1987). Student involvement: Active learning in large classes. New Directions for Teaching and Learning, 32, 45–56.

    Article  Google Scholar 

  • Freeman, S., Eddy, S. L., McDonough, M., Smith, M. K., Okoroafor, N., Jordt, H., & Wenderoth, M. P. (2014). Active learning increases student performance in science, engineering, and mathematics. PNAS, 111(23), 8410–8415.

    Article  ADS  CAS  PubMed  PubMed Central  Google Scholar 

  • Gasiewski, J. A., Eagan, M. K., Garcia, G. A., Hurtado, S., & Chang, M. J. (2012). From gatekeeping to engagement: A multicontextual mixed method study of student academic engagement in introductory STEM courses. Research in Higher Education, 53, 229–261.

    Article  PubMed  Google Scholar 

  • Gilbert, A., Tait-McCutcheon, S., & Knewstubb, B. (2021). Innovative teaching in higher education: Teachers’ perceptions of support and constraint. Innovations in Education and Teaching International, 58(2), 123–134.

    Article  Google Scholar 

  • Hass, J., Heil, C., Weir, M. D., & Thomas, G. B. (2017). Thomas’ calculus. Pearson.

  • Jungic, V., Kaur, H., Mulholland, J., & Xin, C. (2015). On flipping the classroom in large first year calculus courses. International Journal of Mathematical Education in Science and Technology, 46(4), 508–520.

    Article  ADS  Google Scholar 

  • Kim, A. M., Speed, A. M., & Macaulay, J. O. (2019). Barriers and strategies: Implementing active learning in biomedical science lectures. Biochemistry and Molecular Biology Education, 47(1), 29–40.

    Article  CAS  PubMed  Google Scholar 

  • Kogan, M., & Laursen, S. L. (2014). Assessing long-term effects of inquiry-based learning: A case study from college mathematics. Innovations in Higher Education, 39, 183–199.

    Article  Google Scholar 

  • Kolb, S. M. (2012). Grounded theory and the constant comparative method: Valid research strategies for educators. Journal of Emerging Trends in Educational Research and Policy Studies, 3(1), 83–86.

    Google Scholar 

  • Kramer, L., Fuller, E., Watson, C., Castillo, A., Oliva, P. D., & Potvin, G. (2023). Establishing a new standard of care for calculus using trials with randomized student allocation. Science, 381, 995–998.

    Article  ADS  CAS  PubMed  Google Scholar 

  • Kvam, P. H. (2000). The effect of active learning methods on student retention in engineering statistics. The American Statistician, 54(2), 136–140.

    Google Scholar 

  • Lenz, L. (2015). Active learning in a math for liberal arts classroom. Primus, 25(3), 279–296.

    Article  Google Scholar 

  • Lugosi, E., & Uribe, G. (2022). Active learning strategies with positive effects on students’ achievements in undergraduate mathematics education. International Journal of Mathematical Education in Science and Technology, 53(2), 403–424.

    Article  ADS  Google Scholar 

  • Lumpkin, A., Achen, R. M., & Dodd, R. K. (2015). Student perceptions of active learning. College Student Journal, 49(1), 121–133.

    Google Scholar 

  • Maciejewski, W. (2016). Flipping the calculus classroom: An evaluative study. Teaching Mathematics and Its Applications, 35, 187–201.

    Google Scholar 

  • Miller, E., Fowler, J., Johns, C., Johnson, J., Jr., Ramsey, B., & Snapp, B. (2020). Increasing active learning in large tightly coordinated calculus courses. PRIMUS. https://doi.org/10.1080/10511970.2020.1772923

    Article  Google Scholar 

  • Moravec, M., Williams, A., Aguilar-Roca, N., & O’Dowd, D. K. (2010). Learn before lecture: A strategy that improves learning outcomes in a large introductory biology class. CBE-Life Sciences Education, 9(4), 473–481.

    Article  PubMed  PubMed Central  Google Scholar 

  • Poirier, C. R., & Feldman, R. S. (2007). Promoting active learning using individual response technology in large introductory psychology classes. Technology and Teaching, 34(3), 194–196.

    Google Scholar 

  • Price, P. C., Jhangiani, R., & Chiang, I. C. A. (2015). Research methods in psychology. BCCampus.

  • Prince, M. (2004). Does active learning work? A review of the research. Journal of Engineering Education, X, 223–231.

    Article  Google Scholar 

  • Reinholz, D. L. (2018). Large lecture halls: Whiteboards, not bored students. Primus, 28(7), 670–682.

    Article  Google Scholar 

  • Roop, J. P., Edoh, K., & Kurepa, A. (2018). Instructional selection of active learning and traditional courses increases student achievement in college mathematics. Journal of Education and Learning, 7(5), 11–19.

    Article  Google Scholar 

  • Rosenthal, J. S. (1995). Active learning strategies in advanced mathematics classes. Studies in Higher Education, 20(2), 223–228.

    Article  Google Scholar 

  • Saldaña, J. (2013). The coding manual for qualitative researchers.

  • Shadle, S. E., Marker, A., & Earl, B. (2017). Faculty drivers and barriers; Laying the groundwork for undergraduate STEM education reform in academic departments. International Journal of STEM Education, 4(8), 1–13.

    Google Scholar 

  • Sletten, S. R. (2017). Investigating flipped learning: Student self-regulated learning, perceptions, and achievement in an introductory biology course. Journal of Science Education and Technology, 26, 347–358.

    Article  ADS  Google Scholar 

  • Smith, C. V., & Cardaciotto, L. (2011). Is active learning like broccoli? Student perceptions of active learning in large lecture classes. Journal of the Scholarship of Teaching and Learning, 11(1), 53–61.

    Google Scholar 

  • Stains, M., Harshman, J., Barker, M. K., Chasteen, S. V., Cole, R., DeChenne-Peters, S. E., Eagan, M. K., Jr., Esson, J. M., Knight, J. K., Laski, F. A., Levis-Fitzgerald, M., Lee, C. J., Lo, S. M., McDonnell, L. M., McKay, T. A., Michelotti, N., Musgrove, A., Palmer, M. S., Plank, K. M., … Young, A. M. (2018). Anatomy of STEM teaching in North American universities. Science, 359(6383), 1468–1470.

    Article  ADS  CAS  PubMed  PubMed Central  Google Scholar 

  • Styers, M. L., Van Zandt, P. A., & Hayden, K. L. (2018). Active learning in flipped life science courses promotes development of critical thinking skills. CBE - Life Sciences Education, 17(3), 1–13.

    Article  Google Scholar 

  • Teddlie, C., & Yu, F. (2007). Mixed methods sampling: A typology with examples. Journal of Mixed Methods Research, 1(1), 77–100.

    Article  Google Scholar 

  • Theobald, E. J., Hill, M. J., Tran, E., Agrawal, S., Arroyo, E. N., Behling, S., ... & Freeman, S. (2020). Active learning narrows achievement gaps for underrepresented students in undergraduate science, technology, engineering, and math. Proceedings of the National Academy of Sciences, 117(12), 6476–6483.

    Article  ADS  CAS  Google Scholar 

  • Weiman, C. E. (2014). Large-scale comparison of science teaching methods sends clear message. PNAS, 111(23), 8319–8320.

    Article  ADS  Google Scholar 

  • Weurlander, M., Cronhjort, M., & Filipsson, L. (2017). Engineering students’ experiences of interactive teaching in calculus. Higher Education Research & Development, 36(4), 852–865.

    Article  Google Scholar 

  • White, C., Bradley, E., Martindale, J., Roy, P., Patel, K., Yoon, M., & Worden, M. K. (2014). Why are medical students “checking out” of active learning in a new curriculum? Medical Education, 48, 315–324.

    Article  PubMed  Google Scholar 

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Correspondence to Shay Fuchs.

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Fuchs, S., Sahmbi, G. Investigating the Impact of Active Learning in Large Coordinated Calculus Courses. Int. J. Res. Undergrad. Math. Ed. (2024). https://doi.org/10.1007/s40753-024-00234-6

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