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Examining the role of contextual factors in dosage calculation

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Abstract

Medical students generally learn to calculate drug doses using paper problems containing numerical information. In contrast, once qualified, they have to extract the relevant information from treatment guidelines and use equipment, such as syringes, to dose patients. We compared students’ success in calculating drug doses using those different approaches. After receiving relevant training, 239 consenting first year students were randomised into four groups. Groups 1 and 2 had to calculate a dose, while groups 3 and 4 had to both calculate and then prepare a dose using a syringe and a labelled bottle of medicine. We gave groups 1 and 3 numerical dosage information. Groups 2 and 4 had to extract this information from guidelines. We compared success between groups using a chi-square test. Groups 1 and 3 outperformed groups 2 and 4. Availability of equipment seemed to be related to the improved success between groups 2 and 4, but this was not significant. Students who did not speak English at home were three times more likely to answer incorrectly than English-speaking students. Students who had equipment were more likely than students who did not have equipment to use appropriate units and propose realistic quantities. In light of these findings, we recommend that medical student training and assessment should include both extraction of embedded dosage information from guidelines and use of the equipment used in dosing.

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References

  • Barnes, H. (2005). The theory of realistic mathematics education as a theoretical framework for teaching low attainers in mathematics. Pythagoras, 61, 42–57.

    Google Scholar 

  • Botha, J., Mbali, C., & Harries, C. (2006). Building successful therapeutics into a problem based medical curriculum in Africa. South African Journal of Higher Education, 20(3), 64–78.

    Google Scholar 

  • Carpenter, T. P., Dossey, J. A., & Koehler, J. L. (Eds.). (2004). Classics in mathematics education research (p. 226). National Council of Teachers of Mathematics.

  • Carraher, D. W., & Schliemann, A. D. (2002). Is everyday mathematics truly relevant to mathematics education? In J. M. Brenner & Moshkovich (Eds.), Everyday and academic mathematics in the classroom. Monographs of the Journal for Research in Mathematics Education, 11 (pp. 135–153). National Council of Teachers of Mathematics.

  • Centre for Disease Control and Prevention. (2011). Epi-Info (Version 7.2.2.6). https://www.cdc.gov/epiinfo/support/downloads.html. Accessed  19 Jun 2019.

  • Coben, D. (2010). At the sharp edge of the curriculum for an ethical equitable and numerate society: Working in a safety-critical context - numeracy for nursing. In U. Gellert, E. Jablonka, & C. Morgan (Eds.), Proceedings of the Sixth International Mathematics Education and Society Conference (pp. 9–22). Freie Universität.

  • Coben, D., Hall, C., Hutton, B., Sabin, M., Weeks, K., & Woolley, N. (2008). Numeracy for nursing: The case for a benchmark. In T. Maguire, N. Colleran, O. Gill, & J. O'Donoghue (Eds.), The changing face of adults’ mathematics education: Learning from the past, planning for the future: Proceedings of the 14th international conference of adults learning mathematics–a Research Forum, Limerick, 26–29 June 2007 (pp. 88–102). University of Limerick.

  • Coben, D., Hall, C., Hutton, M., Rowe, D., Weeks, K., & Woolley, N. (2010). Research report: Benchmark assessment of numeracy for nursing: Medication dosage calculation at point of registration. NHS Education for Scotland (NES).

  • Davis, T., Thoong, H., Kelsey, A., & Makin, G. (2013). Categorising paediatric prescribing errors by junior doctors through prescribing competency assessment: Does assessment reflect actual practice? European Journal of Clinical Pharmacology, 69, 1163–1166. https://doi.org/10.1007/s00228-012-1440-1

    Article  Google Scholar 

  • Gillies, R. (2004). Numeracy for nurses: The case for traditional verses non-traditional methods for teaching drug calculation. In I. Putt, R. Faragher, & M. McLean (Eds.), Proceedings of the 27th annual conference of the Mathematics Education Group of Australasia (pp. 255–262). MERGA https://www.merga.net.au/documents/RP292004.pdf. Accessed 28 Aug 2019.

  • Gustafsson, J., Nilsen, T., & Hansen, K. (2018). School characteristics moderating the relation between student socio-economic status and mathematics achievement in grade 8. Evidence from 50 countries in TIMSS 2011. Studies in Educational Evaluation, 57, 16–30. https://doi.org/10.1016/j.stueduc.2016.09.004

    Article  Google Scholar 

  • Hansson, A. (2012). The meaning of mathematics instruction in multilingual classrooms: Analyzing the importance of responsibility for learning. Educational Studies in Mathematics, 81, 103–125. https://doi.org/10.1007/s10649-012-9385-y

    Article  Google Scholar 

  • Harries, C., & Botha, J. (2013a). Can medical students calculate drug doses? Southern African Journal of Anaesthesia and Analgesia, 19(5), 248–251. https://doi.org/10.1080/22201173.2013.10872934

    Article  Google Scholar 

  • Harries, C., & Botha, J. (2013b). Assessing medical students’ competence in calculating drug doses. Pythagoras, 34(2),Article #186. https://doi.org/10.4102/pythagoras.v3412.186

  • Hodgen, J., & Marks, R. (2013). The employment equation: Why our young people need more maths for today’s jobs. The Sutton Trust.

  • Howe, C., Nunes, T., & Bryant, P. (2010). Rational number and proportional reasoning: Using intensive quantities to promote achievement in mathematics and science. International Journal of Mathematics and Science Education, 9(2), 391–417. https://doi.org/10.1007/s10763-010-9249-9

    Article  Google Scholar 

  • Hoyles, C., Noss, R., & Pozzi, S. (2001). Proportional reasoning in nursing practice. Journal for Research in Mathematics Education, 32(1), 4–27. https://doi.org/10.2307/749619

    Article  Google Scholar 

  • Neville-Barton, P., & Barton, B. (2005). The relationship between English language and mathematics learning for non-native speakers. Teaching and Learning Research Initiative final report https://www.tlri.org.nz/index.html. Accessed 2 Feb 2019.

  • Newble, D. I., & Entwistle, N. J. (1986). Learning styles and approaches: Implications for medical education. Medical Education, 20(3), 162–175. https://doi.org/10.1111/j.1365-2923.1986.tb01163.x

    Article  Google Scholar 

  • Noss, R., Pozzi, S., & Hoyles, C. (1999). Touching epistemologies: Meanings of average and variation in nursing practice. Educational Studies in Mathematics, 40(1), 25–51. https://doi.org/10.1023/A:1003763812875

  • Republic of South Africa. Essential Drugs Programme. (2018). Primary healthcare standard treatment guideline and essential medicine list (6th ed.p. 2018). National Department of Health http://www.health.gov.za/index.php/component/phocadownload/category/285-phc. Accessed 17 October 2019

  • Reyna, V. F., & Brainerd, C. J. (2007). The importance of mathematics in health and human judgment: Numeracy, risk communication, and medical decision making. Learning and individual differences., 17, 147–159.

    Article  Google Scholar 

  • Rule, P., & Land, S. (2017). Finding the plot in South African reading education. Reading & Writing, 8(1), a121. https://doi.org/10.4102/rw.v8i1.121

    Article  Google Scholar 

  • Setati, M., Chitera, N., & Essien, A. (2009). Research on multilingualism in mathematics education in South Africa: 2000–2007. African Journal of Research in MST Education, Special Issue, 65–80.

  • Simpson, C. M., Gerben, B. K., & Lind, J. F. (2009). A survey of drug-dose calculation skills of Australian tertiary hospital doctors. Medical Journal of Australia, 190(3), 117–120. https://doi.org/10.5694/j.1326-5377.2009.tb02308.x

    Article  Google Scholar 

  • Stasz, C. (2001). Assessing skills for work: Two perspectives. Oxford Economic Papers, 53(3) Special issue on skills measurement and economic analysis, 385-405. https://doi.org/10.1093/oep/53.3.385

  • Sullivan, P. & Clarkson, P. (1982). Practical aspects of drug calculations. Mathematics Education Centre Report No. 24. Papua New Guinea University of Technology.

  • Swansson, D., & Williams, J. (2014). Making abstract mathematics concrete in and out of school. Educational Studies in Mathematics, 86, 193–209. https://doi.org/10.1007/s10649-014-9536-4

    Article  Google Scholar 

  • Taylor, A. A., Corfield, D. R., & Byrne-Davis, L. M. (2019). The impact of calculators on a test of clinician numeracy: A randomized controlled trial. Numeracy, 12(2). https://scholarcommons.usf.edu/numeracy/vol12/iss2/art6. Accessed 5 Oct 2019.

  • University of Cape Town Division of Clinical Pharmacology. (2010, 2016). South African Medicines Formulary. (9th & 13th edns.). Health and Medical Publishing Group.

  • University of KwaZulu-Natal Applications and Information Office. Undergraduate selection procedure. http://applications.ukzn.ac.za/Selection-Procedures/Undergraduate-Selection-Procedure.aspx Accessed 17 October 2019.

  • University of KwaZulu-Natal College of Health Sciences. Undergraduate Information Brochure. https://chs.ukzn.ac.za/wp-content/uploads/2019/01/Undergraduate-Brochure-NEW-for-web.pdf Accessed 17 October 2019.

  • Vygotsky, L. (1978a). Mind in society: The development of higher psychological processes. Harvard University Press.

  • Vygotsky, L. (1978b). Interaction between learning and development. In Gauvain & Cole (Eds.), Readings on the development of children (pp. 34–40). Scientific American Books.

  • Weeks, K. W., Lyne, P., Moseley, L., & Torrance, C. (2001). The strive for clinical effectiveness in medication dosage calculation problem-solving skills: The role of constructivist learning theory in the design of a computer-based ‘authentic world’ learning environment. Clinical Effectiveness in Nursing, 5(1), 18–25. https://doi.org/10.1054/cein.2001.0180

    Article  Google Scholar 

  • Wertsch, J. V., & Tulviste, P. (1992). L. S. Vygotsky and contemporary developmental psychology. Developmental Psychology, 28(4), 548–557.

    Article  Google Scholar 

  • Wheeler, D. W., Degnan, B. A., Murray, L. J., Dunling, C. P., Whittlestone, K. D., Wood, D. F., … Gupta, A. K. (2008). Retention of drug administration skills after intensive teaching. Anaesthesia, 63, 379–384. https://doi.org/10.1111/j.1365-2044.2007.05379.x

  • Wilson, A. (2003). Nurses’ Maths: Researching a practical approach. Nursing Standard: Official newspaper of the Royal College of Nursing, 17(47), 33–36. https://doi.org/10.7748/ns2003.08.17.47.33.c3433

    Article  Google Scholar 

  • Wright, K. (2007). A written assessment is an invalid test of numeracy skills. British Journal of Nursing, 16(13), 828–831. https://doi.org/10.12968/bjon.2007.16.13.24252

    Article  Google Scholar 

  • Wright, K. (2010). Do calculation errors by nurses cause medication errors in clinical practice? A literature review. Nurse Education Today, 30, 85–97. https://doi.org/10.1016/j.nedt.2009.06.009

    Article  Google Scholar 

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Acknowledgements

The authors would like to thank Prof Renuka Vithal for assistance with project design.

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Correspondence to Catherine Sara Harries.

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Harries, C.S., Botha, J.H. Examining the role of contextual factors in dosage calculation. Educ Stud Math 107, 487–502 (2021). https://doi.org/10.1007/s10649-021-10054-z

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