Abstract
Mathematics education is seen as a right for all children, and important to ensure a prosperous future. However, in Australia and other nations, rural students and students from low socioeconomic backgrounds both perform less well in mathematics and are less likely to pursue advanced mathematics. This paper presents a case study of a low socioeconomic status, rural government school that has high engagement and achievement in senior mathematics, despite its setting. The study uses a conceptual framework informed by Appreciative Inquiry and the theory of Practice Architectures to explore the activities and facilitatory elements that have likely contributed to the school’s mathematics success. Rather than being attributed to one or two key programmes, the school’s mathematics success seemed associated with a collection of whole-school factors. Setting high expectations while providing proactive learning support, differentiating instruction, emphasising the value of mathematics, linking mathematics to careers, and building mathematics teacher capacity were all associated with the school’s higher than expected mathematics performance. Rather than hindering the school’s mathematics programme, its small size and rural context were used to enable practices that contributed to mathematics success.
Similar content being viewed by others
Data availability
Not applicable
Notes
The Victorian Certificate of Education (VCE) is generally completed by Victorian students across the last 2 years of secondary school (Victorian Curriculum and Assessment Authority [VCAA] 2020). Results from the final year of the VCE are commonly used by tertiary institutions to determine student entry into further education (Victorian Tertiary Admissions Centre 2016).
The National Assessment Program – Literacy and Numeracy (NAPLAN) aims to assess all Australian grade 3, 5, 7, and 9 students’ abilities in Literacy and Numeracy (ACARA, 2017). NAPLAN tests are set and assessed centrally, and all schools administer the tests over the same 3-day period.
The ICSEA is a measure of social advantage calculated for each Australian school, factoring in parental occupation and income, as well as school remoteness, proportion of Indigenous students, and proportion of students from language backgrounds other than English (ACARA, 2015). The ICSEA has a mean of 1000 and a standard deviation of 100.
References
Anthony, G., Hunter, J., & Hunter, R. (2019). Working towards equity in mathematics education: is differentiation the answer? Mathematics Education Research: Impacting Practice (Proceedings of the 42nd annual conference of the Mathematics Education Research Group of Australasia), Perth.
Anderson, R., & Chang, B. (2011). Mathematics course-taking in rural high schools. Journal of Research in Rural Education, 26(1), 1–10 http://sites.psu.edu/jrre/wp-content/uploads/sites/6347/2014/02/26-1.pdf.
Australian Curriculum Assessment and Reporting Authority. (2015). What does the ICSEA value mean?. https://docs.acara.edu.au/resources/20160418_ACARA_ICSEA.pdf
Australian Curriculum Assessment and Reporting Authority. (2017). NAPLAN achievement in reading, writing, language conventions and numeracy: national report for 2017. ACARA. https://www.nap.edu.au/docs/default-source/default-document-library/naplan-national-report-2017_final_04dec2017.pdf?sfvrsn=0
Australian Curriculum Assessment and Reporting Authority. (2019). My School. https://www.myschool.edu.au/
Australian Industry Group. (2015). Progressing STEM skills in Australia. Australian Industry Group. http://cdn.aigroup.com.au/Reports/2015/14571_STEM_Skills_Report_Final_-.pdf
Avery, L. M., & Kassam, K.-A. (2011). Phronesis: children’s local rural knowledge of science and engineering. Journal of Research in Rural Education (Online), 26(2), 1.
Baker, D., Fabrega, R., Galindo, C., & Mishook, J. (2004). Instructional time and national achievement: cross-national evidence. PROSPECTS, 34(3), 311–334. https://doi.org/10.1007/s11125-004-5310-1.
Barley, Z., & Beesley, A. (2007). Rural school success: what can we learn? Journal of Research in Rural Education, 22(1), 1–16 http://cep.org.au/files/2010/11/Rural-School-Success-What-can-we-learn.pdf.
Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology [Article]. Qualitative Research in Psychology, 3(2), 77–101. https://doi.org/10.1191/1478088706qp063oa.
Centre for Education Statistics and Evaluation. (2013). Rural and remote education: literature review. New South Wales Department of Education and Communities. https://www.cese.nsw.gov.au/component/k2/item/42-rural-and-remote-education-literature-review
Clark, L., Majumdar, S., Bhattacharjee, J., & Hanks, A. C. (2015). Creating an atmosphere for STEM literacy in the rural south through student-collected weather data. Journal of Geoscience Education, 63(2), 105–115. https://doi.org/10.5408/13-066.1.
Committee on STEM Education. (2018). Charting a course for success: America’s strategy for STEM education. National Science & Technology Council. https://www.whitehouse.gov/wp-content/uploads/2018/12/STEM-Education-Strategic-Plan-2018.pdf
Deunk, M. I., Smale-Jacobse, A. E., de Boer, H., Doolaard, S., & Bosker, R. J. (2018). Effective differentiation practices: a systematic review and meta-analysis of studies on the cognitive effects of differentiation practices in primary education. Educational Research Review, 24, 31–54.
Echazarra, A. & Radinger, T. (2019). Learning in rural schools: insights from PISA, TALIS and the literature. OECD Education Working Paper. Organisation for Economic Co-operation and Development. http://www.oecd.org/officialdocuments/publicdisplaydocumentpdf/?cote=EDU/WKP(2019)4&docLanguage=En
Education Council. (2018). Optimising STEM industry-school partnerships: inspiring Australia’s next generation. Education Council. http://www.educationcouncil.edu.au/site/DefaultSite/filesystem/documents/Reports%20and%20publications/Publications/Optimising%20STEM%20Industry-School%20Partnerships%20-%20Final%20Report.pdf
Elle, F., & Meissel, K. (2011). Working collaboratively to improve the learning and teaching of mathematics in a rural New Zealand community. Mathematics Education Research Journal, 23(2), 169–187. https://doi.org/10.1007/s13394-011-0010-7.
Gideon, L., & Moskos, P. (2012). Interviewing. In L. Gideon (Ed.), Handbook of survey methodology for the social sciences (pp. 108–118). Springer.
Goddard, Y., Goddard, R., Bailes, L., & Nichols, R. (2019). From school leadership to differentiated instruction: a pathway to student learning in schools. The Elementary School Journal, 120(2), 197–219.
Goos, M., Dole, S., & Geiger, V. (2011). Improving numeracy education in rural schools: a professional development approach. Mathematics Education Research Journal, 23(2), 129–148.
Goos, M., & Kaya, S. (2020). Understanding and promoting students’ mathematical thinking: a review of research published in ESM. Educational Studies in Mathematics, 103(1), 7–25 https://doi-org.ezproxy.csu.edu.au/10.1007/s10649-019-09921-7.
Graham, S., & Provost, L. (2012). Mathematics achievement gaps between suburban students and their rural and urban peers increase over time. Carsey Institute Issue Brief, 52, 1–8 https://files.eric.ed.gov/fulltext/ED535962.pdf.
Halsey, J. (2018). Independent review into regional, rural and remote education—Final report. Commonwealth of Australia. https://docs.education.gov.au/system/files/doc/other/01218_independent_review_accessible.pdf
Handal, B., Watson, K., Petocz, P., & Maher, M. (2013). Retaining mathematics and science teachers in rural and remote schools. Australian and International Journal of Rural Education, 23(3), 14–30 http://www.spera.asn.au/school/publications/journals/15/57.
Hardre, P. (2011). Motivation for math in rural schools: student and teacher perspectives. Mathematics Education Research Journal, 23(2), 213–233.
Hardre, P. L., Sullivan, D. W., & Crowson, H. M. (2009). Student characteristics and motivation in rural high schools. Journal of Research in Rural Education, 24(16), 1–19.
Hibberts, M., Johnson, R. B., & Hudson, K. (2012). Common survey sampling techniques. In L. Gideon (Ed.), Handbook of survey methodology for the social sciences. Springer.
House of Common Science and Technology Committee. (2017). Industrial strategy: science and STEM skills. House of Commons. https://publications.parliament.uk/pa/cm201617/cmselect/cmsctech/991/991.pdf
Howley, C. B., Showalter, D., Klein, R. K., Sturgill, D. J., & Smith, M. A. (2013). Rural math talent, now and then. Roeper Review, 35(2), 102–114. https://doi.org/10.1080/02783193.2013.766963.
Ihrig, L. M., Lane, E., Mahatmya, D., & Assouline, S. G. (2018). STEM excellence and leadership program: increasing the level of STEM challenge and engagement for high-achieving students in economically disadvantaged rural communities. Journal for the Education of the Gifted, 41(1), 24–42. https://doi.org/10.1177/0162353217745158.
Jorgensen, R. (2016). Middle leadership: a key role of numeracy reform [Article]. Australian Primary Mathematics Classroom, 21(3), 32–37 http://ezproxy.csu.edu.au/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=ehh&AN=118245963&site=ehost-live.
Kemmis, S. (2008). Praxis and practice architectures in mathematics education Navigating currents and charting directions, (Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia), Brisbane.
Kemmis, S., Wilkinson, J., Edwards-Groves, C., Hardy, I., Grootenboer, P., & Bristol, L. (2014). Praxis, practice and Practice Architectures. In S. Kemmis, J. Wilkinson, C. Edwards-Groves, I. Hardy, P. Grootenboer, & L. Bristol (Eds.), Changing practices, changing education (pp. 25–42). Springer.
Luschei, T., & Fagioli, L. (2016). A vanishing rural school advantage? Changing urban/rural student achievement differences in Latin America and the Caribbean. Comparative Education Review, 60(4), 703–745. https://doi.org/10.1086/688394.
Lyons, T., Cooksey, R., Panizzon, D., Parnell, A., & Pegg, J. (2006). Science, ICT and mathematics education in rural and regional Australia - The SiMERR National Survey. University of New England. https://simerr.une.edu.au/pages/projects/1nationalsurvey/Abridged%20report/Abridged_Full.pdf
Marginson, S., Tytler, R., Freeman, B., & Roberts, K. (2013). STEM: country comparisons. Report for the Australian council of learned academies. Australian Council of Learned Academies. http://dro.deakin.edu.au/eserv/DU:30059041/tytler-stemcountry-2013.pdf
McPhan, G., Morony, W., Pegg, J., Cooksey, R., & Lynch, T. (2008). Maths? Why not? DEEWR. http://www.gsu.uts.edu.au/academicboard/cabs/082/papers/082-item6-1.pdf
McPhan, G., & Tobias, S. (2011). MERJ special issue - editorial. Mathematics Education Research Journal, 23, 77–81.
Morgan, R., & Kirby, C. (2016). The UK STEM education landscape: a report for the Lloyd’s register foundation from the royal academy of engineering education and skills committee. https://www.raeng.org.uk/publications/reports/uk-stem-education-landscape
Murphy, S. (2019a). School location and socioeconomic status and patterns of participation and achievement in senior secondary mathematics. Mathematics Education Research Journal, 31(3), 219–235.
Murphy (2019b). Practices contributing to Mathematics success in a low socioeconomic rural Victorian school. In G. Hine, S. Blackley, & A. Cooke (Eds.) Education Research: Impacting Practice, Proceedings of the 42nd annual conference of the Mathematics Education Research Group of Australasia Mathematics [Conference Proceedings]. (pp. 516–523). MERGA.
Murphy, S. (2020a). Achieving STEM education success against the odds. Curriculum Perspectives, 40(2), 241–246.
Murphy, S. (2020b). Science education success in a rural Australian school: Practices and arrangements contributing to high senior science enrolments and achievement in an isolated rural school. Research in Science Education. https://doi.org/10.1007/s11165-020-09947-5.
OECD. (2019). PISA 2018 Results. https://doi.org/10.1787/5f07c754-en.
Pegg, J., & Panizzon, D. (2011). Collaborative innovations with rural and regional secondary teachers: enhancing student learning in mathematics. Mathematics Education Research Journal, 23(2), 149–167.
Prast, E. J., Van de Weijer-Bergsma, E., Kroesbergen, E. H., & Van Luit, J. E. H. (2015). Differentiation in primary school mathematics: expert recommendations and teacher self-assessment. Frontline Learning Research, 3(2), 90–116.
Prast, E. J., Van de Weijer-Bergsma, E., Kroesbergen, E. H., & Van Luit, J. E. H. (2018). Differentiated instruction in primary mathematics: effects of teacher professional development on student achievement. Learning and Instruction, 54, 22–34. https://doi.org/10.1016/j.learninstruc.2018.01.009.
Prince, G., & O’Connor, M. (2018). Crunching the numbers on out-of-field teaching in maths. Australian Mathematical Sciences Institute. https://schools.amsi.org.au/2019/01/14/crunching-the-numbers-out-of-feild-teaching/
Reed, J. (2007). Appreciative inquiry. Thousand Oaks. https://doi.org/10.4135/9781412983464.
Rönnerman, K., & Kemmis, S. (2016). Stirring doctoral candidates into academic practices: a doctoral course and its practice architectures. Education Inquiry, 7(2), 27558. https://doi.org/10.3402/edui.v7.27558.
Semke, C. A., & Sheridan, S. M. (2012). Family-school connections in rural educational settings: a systematic review of the empirical literature. School Community Journal, 22(1), 21–47 http://ezproxy.csu.edu.au/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=ehh&AN=77393015&site=ehost-live.
Smit, R., & Humpert, W. (2012). Differentiated instruction in small schools. Teaching and Teacher Education, 28(8), 1152–1162.
Thomson, S., De Bortoli, L., & Underwood, C. (2017a). PISA 2015: reporting Australia’s results. Australian Council for Educational Research. https://research.acer.edu.au/ozpisa/22/
Thomson, S., Wernert, N., O’Grady, E., & Rodrigues, S. (2017b). TIMSS 2015: reporting Australia’s results. Australian Council for Educational Research. https://research.acer.edu.au/timss_2015/2/
Tracy, S. J. (2010). Qualitative quality: eight “Big-Tent” criteria for excellent qualitative research. Qualitative Inquiry, 16(10), 837–851. https://doi.org/10.1177/1077800410383121.
Victorian Curriculum and Assessment Authority. (2020). VCE and VCAL administrative handbook. VCAA. https://www.vcaa.vic.edu.au/administration/vce-vcalhandbook/Pages/index.aspx.
Victorian Tertiary Admissions Centre. (2016). Prerequisites for 2018. VTAC. http://www.vtac.edu.au/files/pdf/publications/prerequisites-2018.pdf
Watson, J., Beswick, K., & Brown, N. (2012). Educational research and professional learning in changing times. Springer Verlag.
Watson, J., Wright, S., Hay, I., Beswick, K., Allen, J., & Cranston, N. (2016). Rural and regional students’ perceptions of schooling and factors that influence their aspirations. Australian and International Journal of Rural Education, 26(2), 4.
Weldon, P. (2016). Out-of-field teaching in Australian seconday schools (Policy Insights), Issue. https://research.acer.edu.au/cgi/viewcontent.cgi?article=1005&context=policyinsights
Williams, J. H. (2005). Cross-national variations in rural mathematics achievement. Journal of Research Education, 20(5), 1–18.
Yin, R. K. (2014). Case study research : design and methods (5th ed.). SAGE Publications, Inc.
Acknowledgements
The author would like to acknowledge the support of the Victorian Department of Education and Training, along with his supervisors, A/Prof Lena Danaia and A/Prof Amy MacDonald, in completing this research.
Funding
This research was supported by an Australian Government Research Training Program (RTP) Scholarship.
Author information
Authors and Affiliations
Contributions
The paper and the research described within are the sole work of the author. Elements of this paper have been previously published in MERGA conference proceedings:
Murphy (2019b). Practices contributing to Mathematics success in a low socioeconomic rural Victorian school. In G. Hine, S. Blackley, & A. Cooke (Eds.) Education Research: Impacting Practice, Proceedings of the 42nd annual conference of the Mathematics Education Research Group of Australasia Mathematics [Conference Proceedings]. (pp. 516–523). MERGA.
Corresponding author
Ethics declarations
Conflict of interest
Not applicable
Code availability
Analysis used NVivo and thematic codes identified in the paper.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Murphy, S. Mathematics success against the odds: the case of a low socioeconomic status, rural Australian school with sustained high mathematics performance. Math Ed Res J 34, 767–787 (2022). https://doi.org/10.1007/s13394-020-00361-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13394-020-00361-8