# Investigating students’ academic numeracy in 1st level university courses

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## Abstract

This paper investigates how an online test (‘Self-Test’ developed at the University of Southern Queensland) can enrich students’ understanding of their academic numeracy, through a purpose-built, self-assessment tool aligned with online modules. Since its creation and evaluation, the tool has been developed and tailored to suit other first year courses based around an academic numeracy framework of competence, confidence and critical awareness (Galligan 2013a). This paper will highlight how the new Self-Test is underpinned by this framework and how students’ levels of numeracy can be better understood by the lecturer through Self-Test in a first year nursing for numeracy course and a maths for teachers course. It particularly addresses over- and under-confidence, error analysis and students’ reflective comments, and how this understanding can better inform course development and teaching.

## Keywords

Nursing Academic numeracy Pre-service teaching Diagnostic testing## References

- Abdulla, S., Dalby, T., Robinson, C., Galligan, L., Frederiks, A., Pigozzo, R., et al. (2013). Students’ mathematical preparation part B: students’ perceptions. In D. King, B. Loch, & L. Rylands (Eds.),
*Shining through the fog: proceedings of the 9th Delta conference on teaching and learning of undergraduate mathematics and statistics*(pp. 30–39). Melbourne: The University of Western Sydney, School of Computing, Engineering and Mathematics.Google Scholar - Afamasaga-Fuata’i, K., Meyer, P., & Falo, N. (2008). Assessing primary preservice teachers’ mathematical competence. In M. Goos, R. Brown, & K. Makar (Eds.),
*Navigating currents and charting directions: proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia*(pp. 43–49). Sydney: MERGA.Google Scholar - AMSI (2012). Nobel winner says maths counts. http://www.amsi.org.au/news/87-general-and-outreach-news/820-nobel-winner-says-maths-counts. Accessed 16 May 2013.
- Ancker, J. S. D. K. (2007). Rethinking health numeracy: a multidisciplinary literature review.
*Journal of the American Medical Association, 14*, 713–721. doi: 10.1197/jamia.M2464.Google Scholar - Barrington, F. (2012). 2011 Year 12 mathematics student numbers.
*Australian Mathematical Sciences Insitute. Discipline profile of the mathematical sciences. Paper submitted as part of the Forum -‐ Maths for the Future: Keep Australia Competitive, Camberra, February 2012*.Google Scholar - Britton, S., Daners, D., & Stewart, M. (2007). A self-assessment test for incoming students.
*International Journal of Mathematical Education in Science and Technology, 38*(7), 861–868. doi: 10.1080/00207390701558534.CrossRefGoogle Scholar - Brown, G. (2009).
*Review of education in mathematics, data science and quantitative disciplines: report to the group of eight universities*. Turner, ACT: Group of Eight.Google Scholar - Brown, G., & Quinn, R. J. (2006). Algebra students’ difficulty with fractions: an error analysis.
*Australian Mathematics Teacher, 26*(4), 28–40.Google Scholar - Bryk, A., & Treisman, U. (2010). Make math a gateway, not a gatekeeper. http://www.completecollege.org/docs/Pre%20Reading,%20CCA%20Remediation%20Institute.pdf. Accessed 25 June 2013.
- Burton, L. J., Albion, M., Shepherd, M., McBride, W., & Kavanagh, L. Helping first year engineering students Get Set for success in their studies. In Proceedings of the 36th Higher Education Research and Development Society of Australasia Conference (HERDSA 2013), 2013: Higher Education Research and Development Society of Australasia (HERDSA)Google Scholar
- Callingham, R., Chick, H. L., & Thornton, S. (2013). Evidence-based approaches to developing content knowledge and pedagogical content knowledge in pre-service mathematics teacher education.
*Mathematics Teacher Education and Development, 14*(2), 1–3.Google Scholar - Carmichael, C., & Taylor, J. A. (2005). Analysis of student beliefs in a tertiary preparatory mathematics course.
*International Journal of Mathematical Education in Science and Technology, 36*, 713–719.CrossRefGoogle Scholar - Crawford, K., Gordon, S., Nicholas, J., & Prosser, M. (1998). Qualitatively different experiences of learning mathematics at university.
*Learning and Instruction, 8*(5), 455–468. doi: 10.1016/S0959-4752(98)00005-X.CrossRefGoogle Scholar - Department of Industry Innovation Science Research and Tertiary Education (2012, 2013).
*Undergraduate applications, offers and acceptances*. Canberra: DIISRTE.Google Scholar - Ellerton, N. F., & Clements, M. A. (1996). Newman error analysis: a comparative study involving year 7 students in Malaysia and Australia. In P. C. Clarkson (Ed.),
*Technology and mathematics education: proceedings of the 19th annual conference of the mathematics education research group of Australasia*(Vol. 1, pp. 186–193). Melbourne: MERGA.Google Scholar - Forman, S., & Steen, L. A. (1995). Mathematics for work and life. In I. Carl (Ed.),
*Prospects for school mathematics: seventy five years of progress*. NCTM: Reston, VA.Google Scholar - Freeman, M. (2010).
*Quantitative skills for historians*. History at the HEA: University of Warwick, Coventry.Google Scholar - Galligan, L. (2011a).
*Developing a model of embedding academic numeracy in university programs: a case study from nursing. Unpublished doctoral thesis*. Brisbane: Queensland University of Technlogy.Google Scholar - Galligan, L. (2011b). Measuring academic numeracy: Beyond competence testing. In J. Clark, B. Kissane, J. Mousley, T. Spencer, & S. Thornton (Eds.),
*Mathematics: Traditions and [new] practices: Proceedings of the 34th Annual Conference of the Mathematics Education Research Group of Australasia .and the Australian Association of Mathematics Teachers*(pp. 288–296). Adelaide: AAMT and MERGA.Google Scholar - Galligan, L. (2013a).
*Academic numeracy as a framework for course development. In synergy—working together to achieve more than the sum of the parts: proceedings of the 19th adults learning mathematics conference*. Auckland: ALM.Google Scholar - Galligan, L. (2013b). A systematic approach to embedding academic numeracy at university.
*Higher Education Research and Development, 32*(5), 734–747. doi: 10.1080/07294360.2013.777037.CrossRefGoogle Scholar - Galligan, L., Surman, P., & Harris, P. (1994). Measurement of metacognition in adult students of mathematics—a report on initial investigations. In J. Nicolas & S. Gordon (Eds.),
*Australian bridging mathematics network conference*(Vol. 2, pp. 20–30). Sydney: University of Sydney.Google Scholar - Galligan, L., Wandel, A., Pigozzo, R., Frederiks, A., Robinson, C., Abdulla, S., et al. (2013). Students’ mathematical preparation Part A: lecturers’ perceptions. In D. King, B. Loch, & L. Rylands (Eds.),
*Lighthouse delta 2013: the 9th delta conference on teaching and learning of undergraduate mathematics and statistics, 24–29 November 2013, Kiama, Australia*(pp. 40–49). Melbourne: The University of Western Sydney, School of Computing, Engineering and Mathematics.Google Scholar - Gordon, S., & Nicholas, J. (2013). Students’ conceptions of mathematics bridging courses.
*Journal of Further and Higher Education, 37*(1), 109–125. doi: 10.1080/0309877X.2011.644779.CrossRefGoogle Scholar - Hoyles, C., Wolf, A., Molyneux-Hodgson, S., & Kent, P. (2002).
*Mathematical skills in the workplace: final report to the science, technology and mathematics council*. London: Institute of Education, University of London.Google Scholar - James Cook University (2013). English Language and Numeracy Policy. http://www.jcu.edu.au/policy/allatoh/JCU_114776.html. Accessed 25 June 2013.
- James, R., Krause, K., & Jennings, C. (2010).
*The first year experience in Australian universities: findings from 1994–2009*. Melbourne: CSHE.Google Scholar - Kemp, M., Fletcher, D., & Middleton, H. (2011).
*Encouraging preparedness for first-year subjects involving quantitative concepts and skills*. Freemantle WA: Paper presented at the 14th Pacific Rim Conference in First Year Higher Education.Google Scholar - MacGillivray, H. (2009). Learning support, numeracy, mathematics, statistics, student progression.
*International Journal of Mathematical Education in Science and Technology, 40*(4), 455–472.CrossRefGoogle Scholar - Matthews, K. E., Adams, P., & Goos, M. (2009). Putting it into perspective: mathematics in the undergraduate science curriculum.
*International Journal of Mathematical Education in Science and Technology, 40*(7), 891–902. doi: 10.1080/00207390903199244.CrossRefGoogle Scholar - McLoughlin, C., & Lee, M. (2010). Personalised and self regulated learning in the Web 2.0 era: international exemplars of innovative pedagogy using social software.
*Australasian Journal of Educational Technology, 26*(1), 28–43.Google Scholar - Melguizo, T., Bos, J., & Prather, G. (2011). Is developmental education helping community college students persist? A critical review of the literature.
*American Behavioral Scientist, 55*(2), 173–184.CrossRefGoogle Scholar - Noyes, A. (2009). Participation in mathematics: what is the problem?
*Improving Schools, 12*(3), 277–288. doi: 10.1177/1365480209342682.CrossRefGoogle Scholar - Parsons, S., Croft, T., & Harrison, M. (2009). Does students’ confidence in their ability in mathematics matter?
*Teaching Mathematics Applications, 28*(2), 53–68.CrossRefGoogle Scholar - Passmore, T., Brookshaw, L., & Butler, H. (2011). A flexible, extensible online testing system for mathematics.
*Australasian Journal of Educational Technology, 27*(6), 896–906.Google Scholar - Robinson, C. L., & Croft, A. C. (2003). Engineering students: diagnostic testing and follow up.
*Teaching Mathematics & its Applications, 22*(4), 177–181.CrossRefGoogle Scholar - Sierpinska, A., Bobos, G., & Knipping, C. (2008). Sources of students’ frustration in pre-university level, prerequisite mathematics courses.
*Instructional Science, 36*(4), 289–320. doi: 10.1007/s11251-007-9033-6.CrossRefGoogle Scholar - Skalicky, J., Adam, A., Brown, N., Caney, A., & Lejda, A. (2010).
*Tertiary Numeracy Enquiry. Hobart: Centre for the Advancement of Learning and Teaching (CALT)*. Australia: University of Tasmania.Google Scholar - Stillman, G. (1998). The emperor’s new clothes? Teaching and assessment of mathematical applications at the senior secondary level. In P. Galbraith, W. Blum, G. Booker, & I. Huntley (Eds.),
*Mathematical modelling: teaching and assessment in a technology rich world*(pp. 243–253). Chichester: Horwood Publishing.Google Scholar - Tariq, V. N. (2008). Defining the problem: mathematical errors and misconceptions exhibited by first-year bioscience undergraduates.
*International Journal of Mathematical Education in Science and Technology, 39*(7), 889–904. doi: 10.1080/0020739080213651.CrossRefGoogle Scholar - Tariq, V. N., & Durrani, N. (2012). Factors influencing undergraduates’ self-evaluation of numerical competence.
*International Journal of Mathematical Education in Science and Technology, 43*(3), 337–356. doi: 10.1080/0020739×.2011.618552.CrossRefGoogle Scholar - Taylor, J. A. (1998). Self test: a flexible self assessment package for distance and other learners.
*Computers & Education, 31*, 319–328.CrossRefGoogle Scholar - Taylor, J. A., Galligan, L., & Van Vuuren, P. (1998).
*Perceived mathematical proficiencies required for first year study at the University of Southern Queensland. (pp. 44)*. Toowoomba: University of Southern Queensland.Google Scholar - Taylor, J. A., Mander, D., & McDonald, C. (2004). Transition to engineering mathematics: issues and solutions. In C. Snook & D. Thorpe (Eds.),
*Proceedings of the 15th Australasian Conference for the Australasian Association for Engineering Education*(pp. 164–172). Toowoomba: Faculty of Engineering and Surveying, University of Southern Queensland.Google Scholar - Twenge, J. M., Campbell, W. K., & Gentile, B. (2012). Generational increases in agentic self-evaluations among American college students, 1966–2009.
*Self and Identity, 11*(4), 409–427. doi: 10.1080/15298868.2011.576820.CrossRefGoogle Scholar - Varsavsky, C. (2010). Chances of success in and engagement with mathematics for students who enter university with a weak mathematics background.
*International Journal of Mathematical Education in Science and Technology, 41*(8), 1037–1049. doi: 10.1080/0020739X.2010.493238.CrossRefGoogle Scholar - Wilson, T., & MacGillivray, H. (2007). Counting on the basics: mathematical skills among tertiary entrants.
*International Journal of Mathematical Education in Science and Technology, 38*(1), 19–41.CrossRefGoogle Scholar