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21 - Undergraduate Research in Mathematics

from Part III.1 - STEM

Published online by Cambridge University Press:  11 August 2022

By
Michael Dorff
Edited by
Harald A. Mieg ,
Elizabeth Ambos ,
Angela Brew ,
Dominique Galli  and
Judith Lehmann
Harald A. Mieg
Affiliation:
Humboldt-Universität zu Berlin
Elizabeth Ambos
Affiliation:
Council on Undergraduate Research, Washington DC
Angela Brew
Affiliation:
Macquarie University, Sydney
Dominique Galli
Affiliation:
Indiana University–Purdue University, Indianapolis
Judith Lehmann
Affiliation:
Universidad de Buenos Aires, Argentina
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Summary

Undergraduate research in mathematics is growing and has become a standard practice in some countries. However, for a novice there is much to learn about mentoring students in mathematics research. In this chapter, we discuss the state of undergraduate research in mathematics and detail a set of best practices for successfully mentoring undergraduate students. Also, we explore some needs and future directions that would help improve undergraduate research in mathematics. Throughout the chapter, we include resources for more information on various topics.

Keywords

undergraduateresearchmathematicsmentoringproblemsrecruitinggroup dynamicscommunicationindustryvirtual
Type
Chapter
Information
The Cambridge Handbook of Undergraduate Research , pp. 215 - 221
Publisher: Cambridge University Press
Print publication year: 2022

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References

Diamantopoulos, J. C. D., Dorff, M., & Richardson, S. (2014). How much undergraduate research in mathematics is being done? Notices of the American Mathematical Society, 61(4), 384–386.CrossRefGoogle Scholar
Dorff, M., Henrich, A., & Pudwell, L. (2017). Successfully mentoring undergraduates in research: A how to guide for mathematicians. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 27(3), 320–336.CrossRefGoogle Scholar
Dorff, M., Henrich, A., & Pudwell, L. (2019). A mathematician’s practical guide to mentoring undergraduate research. MAA Press: An Imprint of the American Mathematical Society.Google Scholar
Dorff, M., & Weekes, S. (2019). A student research course on data analytics problems from industry – PIC Math. Scholarship and Practice of Undergraduate Research (SPUR), 2(4), 37–42.Google Scholar
Gallian, J. A. (2012). Undergraduate research in mathematics has come of age. Notices of the American Mathematical Society, 59(8), 1113–1114.CrossRefGoogle Scholar
Gallian, J. A. (2015). A history of undergraduate research in mathematics. In Kennedy, S. F. (Ed.), A century of advancing mathematics (pp. 263–274). Mathematical Association of America.CrossRefGoogle Scholar
Highlander, H. C. (2017). Keys to successful mentoring of undergraduate research teams with an emphasis in applied mathematics research. Letters in Biomathematics, 4(1), 244–255.CrossRefGoogle Scholar
Leonard, K. (2008). Adventures in academic year undergraduate research. Notices of the American Mathematical Society, 55(11), 1422–1426.Google Scholar
Narayan, D. A. (Ed.). (2014). Trends in undergraduate research in the mathematical sciences (Chicago, 2012), Involve, 7(3, special issue). Available at http://msp.org/involve/2014/7-3/.Google Scholar
Wootton, A., Peterson, V., & Lee, C. (Eds.). (2018). A primer for undergraduate research: From groups and tiles to frames and vaccines. Birkhäuser.Google Scholar

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