Skip to main content

Abstract

Mathematical and statistical education research relevant to students in tertiary settings is reviewed. This is an expanding field and is evolving as researchers shift their attention from the reporting of innovations in lecturing practice and course design to include a deeper consideration of the experiences of educators and learners in this space. The purposeful inclusion of group work and discussion, focus on concepts, authentic problem solving, interactions in lectures with student response systems and online learning are all changing the way mathematics and statistics are taught at this level. The authors note that traditional measures of achievement in the form of exam marks are still relied upon, and call for theory-based and theory-building research including investigations of depth of understanding, and of transfer of knowledge and skills to new situations. An emphasis on the learner’s experience and the employment of cross-disciplinary teams of researchers are further suggestions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Abdulla, S., Dalby, T., Robinson, C., Galligan, L., Frederiks, A., Pigozzo, R., & Wandel, A. (2013). Students’ mathematical preparation Part B: Students’ perceptions. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 30–39). Melbourne: University of Western Sydney.

    Google Scholar 

  • Artigue, M. (2010). The future of teaching and learning mathematics with digital technologies. In C. Hoyles & J.-B. Lagrange (Eds.), Mathematics education and technology—Rethinking the terrain. The 17th ICMI study (pp. 463–475). New York: Springer.

    Google Scholar 

  • Australian Qualifications Framework. (2013). AQF Qualifications Pathways Policy. Retrieved from http://www.aqf.edu.au/wp-content/uploads/2013/05/AQF_pathways_jan2013.pdf.

  • Australian Workforce Productivity Agency (AWPA). (2013). Future Focus, 2013 National Workforce Development Strategy. Canberra: AWPA.

    Google Scholar 

  • Baglin, J. (2013). Applying a theoretical model for explaining the development of technological skills in statistics education. Technology Innovations in Statistics Education, 7(2). Retrieved from http://escholarship.org/uc/item/8w97p75s.

  • Baglin, J., Bedford, A., & Bulmer, M. (2013). Students’ experiences and perceptions of using a virtual environment for project-based assessment in an online introductory statistics course. Technology Innovations in Statistics Education, 7(2). Retrieved from http://escholarship.org/uc/item/8w97p75s.

  • Baglin, J., & Da Costa, C. (2012). An experimental study evaluating error management training for learning to operate a statistical package in an introductory statistics course: Is less guidance more? International Journal of Innovation in Science and Mathematics Education (formerly CAL-laborate International), 20(3), 48–67.

    Google Scholar 

  • Baglin, J., & Da Costa, C. (2013). Comparing training approaches for technological skill development in introductory statistics courses. Technology Innovations in Statistics Education, 7(1). Retrieved from http://escholarship.org/uc/item/1hc308sv.

  • Balatti, J., & Belward, S. (2012). Improving first year mathematics teaching through making connections: An action research approach. In J. Dindyal, L. P. Cheng, & S. F. Ng (Eds.), Proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 106–113). Singapore: MERGA.

    Google Scholar 

  • Bardini, C., Oldenburg, R., Stacey, K., & Pierce, R. (2013a). Technology prompts new understandings: The case of equality. In V. Steinle, L. Ball, & C. Bardini (Eds.), Proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 82–89). Melbourne: MERGA.

    Google Scholar 

  • Bardini, C., Pierce, R., & Vincent, J. (2013). First year university students’ understanding of functions: Over a decade after the introduction of CAS in Australian high schools, what is new? Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 2–11). Melbourne: University of Western Sydney.

    Google Scholar 

  • Barton, B., Oates, G., Paterson, J., & Thomas, M. (2014). A marriage of continuance: Professional development for mathematics lecturers. Mathematics Education Research Journal, 27(2), 147–164.

    Article  Google Scholar 

  • Beddie, F. (2015). The outcomes of education and training: What the Australian research is telling us, 2011–14. Adelaide: NCVER.

    Google Scholar 

  • Berghella, T., & Molenaar, J. (2013). Seeking the N in LLN. Adelaide: NCVER.

    Google Scholar 

  • Bier, P. (2013). The mathematics of juggling [Abstract]. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics (p. 219). Melbourne: The University of Western Sydney.

    Google Scholar 

  • Bilgin, A. A. (2013). Discussion: How can technology be used to teach statistical practice? Technology Innovations in Statistics Education, 7(2). Retrieved from http://escholarship.org/uc/item/5kv9f111.

  • Bilgin, A. A., Bulger, D., & Robertson G,. (2013). Is there a relationship between learning space and satisfaction with learning experience in a first year statistics tutorial class? Proceedings of the 9th DELTA Conference of Teaching and Learning of Undergraduate Mathematics and Statistics 2013 (pp. 113–123). Melbourne: University of Western Sydney.

    Google Scholar 

  • Black, S., Yasukawa, K., & Brown, T. (2013). Investigating the’crisis’: Production workers’ literacy and numeracy practices. Adelaide: NCVER.

    Google Scholar 

  • Black, S., Yasukawa, K., & Brown, T. (2014). Changing conceptualisations of literacy and numeracy in lean production training: Two case studies of manufacturing companies. Studies in the Education of Adults, 46(1), 58–73.

    Google Scholar 

  • Blyth, B. (2013). Maximum problems without calculus: Design, teaching and assessment using Maple. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 12–21). Melbourne: University of Western Sydney.

    Google Scholar 

  • Brooks, R. (2012). Using carbon emissions data to ‘heat up’ descriptive statistics. Teaching Statistics, 34(1), 25–30.

    Article  Google Scholar 

  • Budgett, S., Pfannkuch, M., Regan, M., & Wild, C. J. (2013). Dynamic visualizations and the randomization test. Technology Innovations in Statistics Education, 7(2). Retrieved from http://escholarship.org/uc/item/9dg6h7wb.

  • Callan, V., & Bowman, K. (2015). Lessons from VET providers delivering degrees. Adelaide: NCVER.

    Google Scholar 

  • Circelli, M., Gillis, S., Dulhunty, M., Wu, M., & Calvitto, L. (2012). Does 1 = 1? Mapping measures of adult literacy and numeracy. Research report. National Centre for Vocational Education Research: Victoria University.

    Google Scholar 

  • Clark, K., James, A., & Montelle, C. (2014). “We definitely wouldn’t be able to solve it all by ourselves, but together…”: Group synergy in tertiary students’ problem-solving practices. Research in Mathematics Education, 16(3), 306–323.

    Article  Google Scholar 

  • Coben, D., & Weeks, K. (2014). Meeting the mathematical demands of the safety-critical workplace: Medication dosage calculation problem-solving for nursing. Educational Studies in Mathematics, 86(2), 253–270.

    Article  Google Scholar 

  • Croft, T., Duah, F., & Loch, B. (2013). ‘I’m worried about the correctness’: Undergraduate students as producers of screencasts of mathematical explanations for their peers–lecturer and student perceptions. International Journal of Mathematical Education in Science and Technology, 44(7), 1045–1055.

    Article  Google Scholar 

  • Dalby, T., Robinson, C., Abdulla, S., Galligan, L., Frederiks, A., Pigozzo, R., & Wandel, A. (2013). Students’ mathematical preparation Part B: students’ perceptions. Proceedings of the 9th DELTA Conference of Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 30–39). Melbourne: University of Western Sydney.

    Google Scholar 

  • Dalitz, J. (2014). Undergraduate mathematics study groups: What mathematical talk actually takes place? In J. Anderson, M. Cavanagh, & A. Prescott (Eds.), Proceedings of the 37th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 167–174). Sydney: MERGA.

    Google Scholar 

  • David, I., & Brown, J. A. (2012). Beyond statistical methods: Teaching critical thinking to first-year university students. International Journal of Mathematical Education in Science and Technology, 43(8), 1057–1065.

    Article  Google Scholar 

  • Department of Education and Training. (2015). National Foundation Skills Strategy for Adults. Retrieved November 13, 2015, from https://www.education.gov.au/national-foundation-skills-strategy-adults.

  • Donnison, S., Dunn, P. K., Cole, R., Bulmer, M., Roiko, A. H., & Muller, F. (2014). A virtual human population: An e-learning solution to improved student outcomes in higher education. In M. Baguley (Ed.), Proceedings of the 2014 Australian Association of Research in Education Conference, (pp. 1–8). Brisbane: AARE.

    Google Scholar 

  • Dunn, P. K. (2012). Assessing claims made by a pizza chain. Journal of Statistics Education, 20(1), 1-19.

    Google Scholar 

  • Dunn, P. K. (2013). Comparing the lifetimes of two brands of batteries. Journal of Statistics Education, 21(1), 1–19.

    Google Scholar 

  • Dunn, P. K., McDonald, C., & Loch, B. (2015). StatsCasts: Screencasts for complementing lectures in statistics classes. International Journal for Mathematical Education in Science and Technology, 46(4), 521–532.

    Article  Google Scholar 

  • Dunn, P. K., Richardson, A., McDonald, C., & Oprescu, F. (2012). Instructor perceptions of using a mobile-phone-based free classroom response system in first-year statistics undergraduate courses. International Journal of Mathematical Education in Science and Technology, 43(8), 1041–1056.

    Article  Google Scholar 

  • Dunn, P. K., Richardson, A., Oprescu, F., & McDonald, C. (2013). Mobile-phone-based classroom response systems: Students’ perceptions of engagement and learning in a large undergraduate course. International Journal of Mathematical Education in Science and Technology, 44(8), 1160–1174.

    Article  Google Scholar 

  • Edwards, D., Pearce, J., Perkins, K., & Brown, J. (2014). Focus groups for informing AWPA’s Engineering Workforce Study 2014: Final report. Retrieved from http://research.acer.edu.au/higher_education/37.

  • Edwards, D., Perkins, K., Pearce, J., & Hong, J. (2015). Work Integrated Learning in STEM in Australian Universities. Melbourne: Australian Council for Educational Research.

    Google Scholar 

  • FitzSimons, G., & Mitsui, T. (2013). Education/training with industry participation. In A. Damlamian, J. F. Rodrigues, & R. Sträßer (Eds.), Educational interfaces between mathematics and industry (pp. 95–107). New York: Springer.

    Chapter  Google Scholar 

  • Flegg, J., Mallett, D., & Lupton, M. (2012). Students’ perceptions of the relevance of mathematics in engineering. International Journal of Mathematical Education in Science and Technology, 43(6), 717–732.

    Article  Google Scholar 

  • Forbes, S. (2014). The coming of age of statistics education in New Zealand, and its influence internationally. Journal of Statistics Education, 22(2), 1–19.

    Google Scholar 

  • Forgasz, H., Barkatsas, A., Bishop, A. J., Clarke, B. K., Keast, S., Seah, W. T., & Sullivan, P. (2008). Research in mathematics education in Australasia 2004–2007. Rotterdam, The Netherlands: Sense Publishers.

    Google Scholar 

  • Gal, I., & Tout, D. (2014). Comparison of PIAAC and PISA frameworks for mumeracy and mathematical literacy. OECD education working papers, No. 102. Paris: OECD Publishing.

    Google Scholar 

  • Galligan, L. (2013a). A systematic approach to embedding academic numeracy at university. Higher Education Research & Development, 32(5), 734–747.

    Article  Google Scholar 

  • Galligan, L. (2013b). Becoming competent, confident and critically aware: Tracing academic numeracy development in nursing. Adults Learning Mathematics, 8(1), 20–30.

    Google Scholar 

  • Galligan, L., & Hobohm, C. (2015). Investigating students’ academic numeracy in first level university courses. Mathematics Education Research Journal, 27(2), 129–145.

    Article  Google Scholar 

  • Galligan, L., Wandel, A., Pigozzo, R., Frederiks, A., Robinson, C., Abdulla, S., & Dalby, T. (2013). Students’ mathematical preparation Part A: lecturers’ perceptions. In D. King, B. Loch, & L. Rylands (Eds.), The 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics, Kiama, Australia (pp. 40–49). Melbourne: The University of Western Sydney.

    Google Scholar 

  • Geiger, V. (2013). Mathematical applications, modelling and technology as windows into industry based mathematical practice. In A. Damlamian, J. F. Rodrigues, & R. Sträßer (Eds.), Educational interfaces between mathematics and industry (pp. 271–278). New York: Springer.

    Chapter  Google Scholar 

  • Getenet, S. T., & Beswick, K. (2014). Using ICT in teaching a specific mathematics concept: Graphs of logarithmic functions. In S. Oesterle, P. Liljedahl, C. Nichol, & D. Allan (Eds.), Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education (pp. 153–160). Vancouver: PME.

    Google Scholar 

  • Goos, M. (2015). Learning at the boundaries. In M. Marshman, V. Geiger, & A. Bennison (Eds.), Proceedings of the 38th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 269–276). Sunshine Coast, QLD: MERGA.

    Google Scholar 

  • Gordon, S., & Nicholas, J. (2013). Students’ conceptions of mathematics bridging courses. Journal of Further and Higher Education, 37(1), 109–125.

    Article  Google Scholar 

  • Groen, L., Coupland, M., Langtry, T., Memar, J., Moore, B., & Stanley, J. (2015). The mathematics problem and mastery learning for first-year, undergraduate STEM students. International Journal of Learning, Teaching and Educational Research, 11(1), 141–160.

    Google Scholar 

  • Hannah, J., Stewart, S., & Thomas, M. (2013). Emphasizing language and visualization in teaching linear algebra. International Journal of Mathematical Education in Science and Technology, 44(4), 475–489.

    Article  Google Scholar 

  • Hillock, P.-W., Jennings, M., Roberts, A., & Scharaschkin, V. (2013). A mathematics support programme for first-year engineering students. International Journal of Mathematical Education in Science and Technology, 44(7), 1030–1044.

    Article  Google Scholar 

  • Hoadley, S., Kyng, T., Tickle, L., & Wood, L. N. (2015). Threshold concepts in finance: Student perspectives. International Journal of Mathematical Education in Science and Technology, 46(7), 1004–1020.

    Article  Google Scholar 

  • Hong, Y. Y., & Thomas, M. O. (2015). Graphical construction of a local perspective on differentiation and integration. Mathematics Education Research Journal, 27(2), 183–200.

    Article  Google Scholar 

  • Hood, M., Creed, P. A., & Neumann, D. L. (2012). Using the expectancy value model of motivation to understand the relationship between student attitudes and achievement in statistics. Statistics Education Research Journal, 11(2), 72–85.

    Google Scholar 

  • Jackson, D. C., & Johnson, E. D. (2013). A hybrid model of mathematics support for science students emphasizing basic skills and discipline relevance. International Journal of Mathematical Education in Science and Technology, 44(6), 846–864.

    Article  Google Scholar 

  • Kachapova, F., & Kachapov, I. (2012). Students’ misconceptions about random variables. International Journal of Mathematical Education in Science and Technology, 43(7), 963–971.

    Article  Google Scholar 

  • Karmel, T., Roberts, D., & Lim, P. (2014). The impact of increasing university participation on the pool of apprentices: Research Report. Adelaide: NCVER.

    Google Scholar 

  • Kensington-Miller, B., Sneddon, J., & Stewart, S. (2014). Crossing new uncharted territory: Shifts in academic identity as a result of modifying teaching practice in undergraduate mathematics. International Journal of Mathematical Education in Science and Technology, 45(6), 827–838.

    Article  Google Scholar 

  • Khan, R. N. (2013). Teaching first-year business statistics three ways. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 24–29). Melbourne: The University of Western Sydney.

    Google Scholar 

  • Khan, R. N. (2015). Assessments: An open and closed case. International Journal of Mathematical Education in Science and Technology, 46(7), 1061–1074.

    Article  Google Scholar 

  • Kilpatrick, S. (2015). Development of mathematical pathways for VET students to articulate to related higher education courses. Canberra: Office for Learning and Teaching.

    Google Scholar 

  • King, D., & Cattlin, J. (2015). The impact of assumed knowledge entry standards on undergraduate mathematics teaching in Australia. International Journal of Mathematical Education in Science and Technology, 46(7), 1032–1045.

    Article  Google Scholar 

  • King, D., Loch, B., & Rylands, L. (2013). Perceptions of feedback in mathematics–Results from a preliminary investigation at three Australian universities. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA conference on teaching and learning of undergraduate mathematics and statisitcs. Melbourne: The University of Western Sydney.

    Google Scholar 

  • Klymchuk, S. (2014). Experience with using counterexamples in an introductory calculus class. International Journal of Mathematical Education in Science and Technology, 45(8), 1260–1265.

    Article  Google Scholar 

  • Klymchuk, S., & Kachapova, F. (2012). Paradoxes and counterexamples in teaching and learning of probability at university. International Journal of Mathematical Education in Science and Technology, 43(6), 803–811.

    Article  Google Scholar 

  • Laborde, C., & Sträßer, R. (2010). Place and use of new technology in the teaching of mathematics: ICMI activities in the past 25 years. ZDM, 42(1), 121–133.

    Article  Google Scholar 

  • Langworthy, A., & Johns, S. (2012). Why is it important for higher education to connect with the VET sector. Higher Education Research and Development, 35, 118–128.

    Google Scholar 

  • Lenard, C., McCarthy, S., & Terence, M. (2014). Ethics in statistics. Australian Senior Mathematics Journal, 28(1), 38.

    Google Scholar 

  • Lim, L. L., Thiel, D. V., & Searles, D. J. (2012). Fine tuning the teaching methods used for second year university mathematics. International Journal of Mathematical Education in Science and Technology, 43(1), 1–9.

    Article  Google Scholar 

  • Loch, B., & Borland, R. (2014). The transition from traditional face-to-face teaching to blended learning—Implications and challenges from a mathematics discipline perspective. In B. Hegarty, J. McDonald, & S.-K. Loke (Eds.), Proceedings of ascilite 2014 (pp. 708–712). Retrieved from http://www.ascilite.org/conferences/dunedin2014/proceedings/.

  • Loch, B., Jordan, C., Lowe, T., & Mestel, B. (2014). Do screencasts help to revise prerequisite mathematics? An investigation of student performance and perception. International Journal of Mathematical Education in Science and Technology, 45(2), 256–268.

    Article  Google Scholar 

  • Loch, B., & McLoughlin, C. (2012). Teaching threshold concepts in engineering mathematics using MathsCasts. In L. Mann & S. Daniel (Eds.), 23rd Annual Conference of the Australasian Association for Engineering Education (pp. 1079–1086). Melbourne: Engineers Australia.

    Google Scholar 

  • Loughlin, W. A., Watters, D. J., Brown, C. L., & Johnston, P. R. (2015). Snapshot of mathematical background demographics of a broad cohort of first year chemistry science students. International Journal of Innovation in Science and Mathematics Education, 23(1), 21–36.

    Google Scholar 

  • MacGillivray, H. L., Martin, M., & Phillips, B. (Eds.). (2014). Topics from Australian Conferences on Teaching Statistics: OZCOTS 2008–2012. New York: Springer.

    Google Scholar 

  • Maclaren, P. (2014). The new chalkboard: The role of digital pen technologies in tertiary mathematics teaching. Teaching Mathematics and its Applications, 33(1), 16–26.

    Article  Google Scholar 

  • Mallet, D. (2013). An example of cognitive obstacles in advanced integration: The case of scalar line integrals. International Journal of Mathematical Education in Science and Technology, 44(1), 152–157.

    Article  Google Scholar 

  • Maltas, D., & Prescott, A. (2014). Calculus-based mathematics: An Australian endangered species? Australian Senior Mathematics Journal, 28(2), 39–49.

    Google Scholar 

  • Matthews, K. E., Belward, S., Coady, C., Rylands, L., Simbag, V., Adams, P., & Tariq, V. (2012). The state of quantitative skills in undergraduate science education: Findings from an Australian study. Report. Canberra: Office for Learning and Teaching.

    Google Scholar 

  • Maxson, K., & Szaniszlo, Z. (2015). The flipped classroom and a look at its effectiveness as an instructional model. PRIMUS, 25(9–10), 765–767.

    Article  Google Scholar 

  • McDonald, C. (2013). Evaluating the use of online synchronous communication to enhance learning in statistics (Unpublished doctoratal dissertation). Brisbane: Queensland University of Technology.

    Google Scholar 

  • McMullen, S., Oates, G., & Thomas, M. (2015). An integrated technology course at university: Orchestration and mediation. In K. Beswick, T. Muir, & J. Wells (Eds.), Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 249–256). Hobart, Australia: PME.

    Google Scholar 

  • McNaught, K. (2013). When a mathematics support pilot program fails miserably: Looking for answers. In V. Steinle, L. Ball, & C. Bardini (Eds.), Proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 490–497). Melbourne: MERGA.

    Google Scholar 

  • Mendiolea, D. (2013). Student preferences in design of worked solutions in undergraduate mathematics. In V. Steinle, L. Ball, & C. Bardini (Eds.), Proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 498–505). Melbourne: MERGA.

    Google Scholar 

  • Neumann, D. L., Hood, M., & Neumann, M. M. (2013). Using real-life data when teaching statistics: Student perceptions of this strategy in an introductory statistics course. Statistics Education Research Journal, 12(2), 59–70.

    Google Scholar 

  • Noll, J., & Sharma, S. (2014). Qualitative meta-analysis on the hospital task: Implications for research. Journal of Statistics Education, 22(2), 1–26.

    Google Scholar 

  • O’Flaherty, J., & Phillips, C. (2015). The use of flipped classrooms in higher education: A scoping review. The Internet and Higher Education, 25, 85–95.

    Article  Google Scholar 

  • Oates, G. N. (2012). Applications and implications of recent research for the teaching of calculus: A report from the 2011 DELTA conference on undergraduate mathematics teaching and learning. In S. J. Cho (Ed.), Pre-proceedings of the 12th International Congress on Mathematical Education (pp. 2770–2779). Seoul, Korea: ICMI.

    Google Scholar 

  • Ollerton, R. L. (2015). A unifying framework for teaching probability event types. International Journal of Mathematical Education in Science and Technology, 46(5), 790–794.

    Article  Google Scholar 

  • Paterson, J., & Barton, B. (2013). Undergraduate mathematics outcomes: The mantis shrimp spectrum. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statisitcs (pp. 141–149). Melbourne: University of Western Sydney.

    Google Scholar 

  • Paterson, J., & Evans, T. (2013). Audience insights: Feed forward in professional development. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings the 9th DELTA Conference of Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 132–140). Melbourne: University of Western Sydney.

    Google Scholar 

  • Penesis, I., Kilpatrick, S., Broun, D., Belward, S., Barnes, R., Roddick, J., & Battersby, P. (2015). Development of mathematical pathways for VET students to articulate to related higher education courses: A focus on engineering. International Journal of Innovation in Science and Mathematics Education, 23(1), 52–63.

    Google Scholar 

  • Perry, B., Lowrie, T., Logan, T., MacDonald, A., & Greenlees, J. (Eds.). (2012). Research in mathematics education in Australasia 2008–2011. Rotterdam, The Netherlands: Sense Publishers.

    Google Scholar 

  • Petocz, P., Newnham, A., Trussell, E., Warwick, K., Jarrett, A., Reid, A., & Bilgin, A. (2014). Peer learning in statistics beyond the university curriculum. In K. Makar, B. d. Sousa, & R. Gould (Eds.), Proceedings of the Ninth International Conference on Teaching Statistics (ICOTS9). Voorburg, The Netherlands: International Statistical Institute.

    Google Scholar 

  • Pfannkuch, M., & Wild, C. J. (2012). Laying foundations for statistical inference. In S. J. Cho (Ed.), Proceedings of the 12th International Congress on Mathematics Education, Regular Lectures 1-9 (pp. 317–329). Seoul, Korea: ICME.

    Google Scholar 

  • Pfannkuch, M., Wild, C. J., & Parsonage, R. (2012). A conceptual pathway to confidence intervals. ZDM, 44(7), 899–911.

    Article  Google Scholar 

  • Pfannkuch, M., Wild, C. J., & Regan, M. (2014). Students’ difficulties in practicing computer-supported statistical inference: Some hypothetical generalizations from a study. In T. Wassong, D. Frischmeier, P. Fischer, R. Hochmuth, & P. Bender (Eds.), Mit Werkzeugen Mathematik und Stochastik lernen–Using Tools for Learning Mathematics and Statistics (pp. 393–403). New York: Springer.

    Chapter  Google Scholar 

  • Phan, H. P. (2013). Expectancy-value and cognitive process outcomes in mathematics learning: A structural equation analysis. Higher Education Research and Development, 33(2), 325–340.

    Article  Google Scholar 

  • Poladian, L., & Nicholas, J. (2013). Mathematics bridging courses and success in first year calculus. In In D. King, B. Loch, & L. Rylands (Eds.), Proceedings the 9th DELTA Conference of Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 150–159). Melbourne: University of Western Sydney.

    Google Scholar 

  • Quinn, D., Albrecht, A., Webby, B., & White, K. (2015). Learning from experience: The realities of developing mathematics courses for an online engineering programme. International Journal of Mathematical Education in Science and Technology, 46(7), 991–1003.

    Article  Google Scholar 

  • Reaburn, R. (2013). Students’ understanding of conditional probability on entering university. In V. Steinle, L. Ball, & C. Bardini (Eds.), Proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 570–577). Melbourne: MERGA.

    Google Scholar 

  • Reaburn, R. (2014). Introductory statistics course tertiary students’ understanding of p-values. Statistics Education Research Journal, 13(1), 53–65.

    Google Scholar 

  • Rice, J. W. (2013). Calculus unlimited [Abstract]. In K. D, B. Loch, & L. Rylands (Eds.), The 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics, (pp. 249). Melbourne: University of Western Sydney.

    Google Scholar 

  • Richardson, A. M., Dunn, P. K., & Hutchins, R. (2013). Identification and definition of lexically ambiguous words in statistics by tutors and students. International Journal of Mathematical Education in Science and Technology, 44(7), 1007–1019.

    Article  Google Scholar 

  • Robinson, M., Loch, B., & Croft, T. (2015). Student perceptions of screencast feedback on mathematics assessment. International Journal of Research in Undergraduate Mathematics Education, 1(3), 363–385.

    Article  Google Scholar 

  • Ross, J. (2014, June 25). Online Education on course for rapid growth. The Australian. Retrieved from http://www.theaustralian.com.au/higher-education/online-education-on-course-for-rapid-growth/story-e6frgcjx-1226965514263?sv=68b5cb265988b8d5274b43821f0b28ab.

  • Roth, W.-M. (2014). Rules of bending, bending the rules: The geometry of electrical conduit bending in college and workplace. Educational Studies in Mathematics, 86(2), 177–192.

    Article  Google Scholar 

  • Rylands, L., & Shearman, D. (2015). Supporting engagement or engaging support? International Journal of Innovation in Science and Mathematics Education, 23(1), 64–73.

    Google Scholar 

  • Rylands, L., Simbag, V., Matthews, K. E., Coady, C., & Belward, S. (2013). Scientists and mathematicians collaborating to build quantitative skills in undergraduate science. International Journal of Mathematical Education in Science and Technology, 44(6), 834–845.

    Article  Google Scholar 

  • Rylands, L. J. (2013). Mathematics and ocean swimming. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statistics (pp. 172–179). Melbourne: University of Western Sydney.

    Google Scholar 

  • Seaton, K. A. (2013). Efficacy and efficiency in formative assessment: An informed reflection on the value of partial marking. International Journal of Mathematical Education in Science and Technology, 44(7), 963–971.

    Article  Google Scholar 

  • Seaton, K. A., King, D. M., & Sandison, C. E. (2014). Flipping the maths tutorial: A tale of n departments. Gazette of the Australian Mathematical Society, 41(2), 99–113.

    Google Scholar 

  • Shearman, D., Rylands, L., & Coady, C. (2012). Improving student engagement in mathematics using simple but effective methods. In J. Wright (Ed.), Proceedings of the 2012 Australian Association of Research in Education Conference (pp. 1–8). Sydney: AARE.

    Google Scholar 

  • Sheryn, L., & Ell, F. (2014). Teaching undergraduate mathematics in interactive groups: How does it fit with students’ learning? International Journal of Mathematical Education in Science and Technology, 45(6), 863–878.

    Article  Google Scholar 

  • Skerritt, M. (2014). Tools for teaching computational mathematics (Unpublished Masters thesis). University of Newcastle, Newcastle, NSW. Retrieved from http://hdl.handle.net/1959.13/1052941.

  • Smedley, F. (2013). An emerging framework for ethnography of adult mathematical and numeracy practices. In A. Hector-Mason & D. Coben (Eds.), Proceedings of Adult Learning Mathematics—A Research Forum: 19th International Conference (pp. 202–208). Auckland: The National Centre of Literacy & Numeracy for Adults.

    Google Scholar 

  • Stillman, G., & Ng, K. (2013). Embedding authentic real world tasks into secondary mathematics curricula. In A. Damlamian, J. F. Rodrigues, & R. Sträßer (Eds.), Educational interfaces between mathematics and industry (pp. 299–307). New York: Springer.

    Chapter  Google Scholar 

  • Sugden, S. (2012). The Number Crunch game: A simple vehicle for building algebraic reasoning skills. International Journal of Mathematical Education in Science and Technology, 43(2), 244–258.

    Article  Google Scholar 

  • Sugden, S. J., & Stocks, P. (2013). Letters & Numbers: A vehicle to illustrate mathematical and computing fundamentals. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statisitcs (pp. 180–189). Melbourne: University of Western Sydney.

    Google Scholar 

  • Summit, R., & Rickards, T. (2013). A constructivist approach to mathematics laboratory classes. In D. King, B. Loch, & L. Rylands (Eds.), Proceedings of the 9th DELTA Conference on Teaching and Learning of Undergraduate Mathematics and Statisitcs (pp. 190–198). Melbourne: University of Western Sydney.

    Google Scholar 

  • Surith, D. (2015). Dynamic and static nature of university mathematics lecturing. In K. Beswick, T. Muir, & J. Wells (Eds.), Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 217–224). Hobart: PME.

    Google Scholar 

  • The Australian Industry Group. (2013). Lifting our Science, Technology, Engineering and Maths (STEM) Skills. Report of 2012 Survey. Sydney: Australian Industry Group.

    Google Scholar 

  • Thomas, M., de Freitas, E. Druck, I., Huillet, D., Ju, M.-K., Nardi, E., Rasmussen, C., & Xie, J. (2012). Survey team 4: Key mathematical concepts in the transition from secondary to university. Seoul, Korea: ICME 12.

    Google Scholar 

  • Thomas, M., & Klymchuk, S. (2012). The school–tertiary interface in mathematics: Teaching style and assessment practice. Mathematics Education Research Journal, 24(3), 283–300.

    Article  Google Scholar 

  • Trenholm, S., Alcock, L., & Robinson, C. (2015). An investigation of assessment and feedback practices in fully asynchronous online undergraduate mathematics courses. International Journal of Mathematical Education in Science and Technology, 46(8), 1197–1221.

    Article  Google Scholar 

  • Trenholm, S., Alcock, L., & Robinson, C. L. (2012). Mathematics lecturing in the digital age. International Journal of Mathematical Education in Science and Technology, 43(6), 703–716.

    Article  Google Scholar 

  • Varsavsky, C. (2012). Use of CAS in secondary school: A factor influencing the transition to university-level mathematics? International Journal of Mathematical Education in Science and Technology, 43(1), 33–42.

    Article  Google Scholar 

  • Varvasky, C., King, D., Coady, C., & Hogeboom, K. (2014). Developing a shared understanding of assessment criteria and standards for undergraduate mathematics. Final Report. Canberra: Australian Government Office for Learning and Teaching.

    Google Scholar 

  • Walker, R. (2013). Language, literacy and numeracy and vocational education collaboration: Enablers and barriers. In L. O’Connor (Ed.), 22nd National Vocational Education and Training Research Conference ‘No Frills’ (pp. 36–45). Mooloolaba, QLD: NCVER.

    Google Scholar 

  • Wandel, A. P., Robinson, C., Abdulla, S., Dalby, T., Frederiks, A., & Galligan, L. (2015). Students’ mathematical preparation: Differences in staff and student perceptions. International Journal of Innovation in Science and Mathematics Education, 23(1), 82–93.

    Google Scholar 

  • Weeks, K. W., Sabin, M., Pontin, D., & Woolley, N. (2012). Safety in numbers: An introduction to the nurse education in practice series. Nurse Education in Practice, 13(2), e4–e10.

    Article  Google Scholar 

  • Wheelahan, L., Leahy, M., Fredman, N., Moodie, G., Arkoudis, S., & Bexley, E. (2012). Missing links: The fragmented relationship between tertiary education and jobs. Research Report. Adelaide: NCVER.

    Google Scholar 

  • Whitten, D. (2013). The Influence of mathematical beliefs on low-achieving adults. In V. Steinle, L. Ball, & C. Bardini (Eds.), Proceedings of the 36th Annual Conference of the Mathematical Education Research Group of Australaisa (pp. 650–657). Melbourne: MERGA.

    Google Scholar 

  • Wood, L. N., Mather, G., Petocz, P., Reid, A., Engelbrecht, J., Harding, A., et al. (2012). University students’ views of the role of mathematics in their future. International Journal of Science and Mathematics Education, 10(1), 99–109.

    Article  Google Scholar 

  • Wood, L. N., Reid, A., & Petocz, P. (2012). Becoming a mathematician: An international perspective. Dordrecht, The Netherlands: Springer.

    Book  Google Scholar 

  • Worsley, S. (2014). Students’ attitudes, learning behaviours and achievement in undergraduate mathematics: A longitudinal study (Unpublished doctoral dissertation). Brisbane: The University of Queensland.

    Google Scholar 

  • Zhang, L., & Govindaraju, K. (2012). Sensitivity analysis in statistics teaching. Teaching Statistics, 34(1), 38–40.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mary Coupland .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media Singapore

About this chapter

Cite this chapter

Coupland, M., Dunn, P.K., Galligan, L., Oates, G., Trenholm, S. (2016). Tertiary Mathematics Education. In: Makar, K., Dole, S., Visnovska, J., Goos, M., Bennison, A., Fry, K. (eds) Research in Mathematics Education in Australasia 2012-2015. Springer, Singapore. https://doi.org/10.1007/978-981-10-1419-2_10

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-1419-2_10

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1417-8

  • Online ISBN: 978-981-10-1419-2

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics