Tertiary mathematics education

Edited book (chapter)


Coupland, Mary, Dunn, Peter K., Galligan, Linda, Oates, Greg and Trenholm, Sven. 2016. "Tertiary mathematics education." Maker, Katie, Dole, Shelley, Visnovska, Jana, Goos, Merrilyn, Bennison, Anne and Fry, Kym (ed.) Research in Mathematics Education in Australasia 2012-2015. Singapore. Springer. pp. 187-211
Chapter Title

Tertiary mathematics education

Book Chapter CategoryEdited book (chapter)
ERA Publisher ID3337
Book TitleResearch in Mathematics Education in Australasia 2012-2015
AuthorsCoupland, Mary (Author), Dunn, Peter K. (Author), Galligan, Linda (Author), Oates, Greg (Author) and Trenholm, Sven (Author)
EditorsMaker, Katie, Dole, Shelley, Visnovska, Jana, Goos, Merrilyn, Bennison, Anne and Fry, Kym
Page Range187-211
Chapter Number10
Number of Pages25
Year2016
PublisherSpringer
Place of PublicationSingapore
ISBN9789811014178
9789811014192
Digital Object Identifier (DOI)https://doi.org/10.1007/978-981-10-1419-2_10
Web Address (URL)http://link.springer.com/chapter/10.1007/978-981-10-1419-2_10
Abstract

Mathematical and Statistical Education Research relevant to students in tertiary 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.

KeywordsUndergraduate mathematics and statistics education; Digital technology in learning mathematics and statistics
ANZSRC Field of Research 2020390109. Mathematics and numeracy curriculum and pedagogy
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Byline AffiliationsUniversity of Technology Sydney
University of the Sunshine Coast
School of Agricultural, Computational and Environmental Sciences
University of Tasmania
University of South Australia
Institution of OriginUniversity of Southern Queensland
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Building academic numeracy in a first year nursing course using an evaluative model of program development
Galligan, Linda, Loch, Birgit and Lawrence, Jill. 2010. "Building academic numeracy in a first year nursing course using an evaluative model of program development." Coben, Diana and O'Donoghue, John (ed.) ICME 11: Adult Mathematics Education. Monterrey, Mexico 06 - 13 Jul 2008 Limerick, Ireland.
Commonality of rainfall variables influencing suspended solids concentrations in storm runoff from three different urban impervious surfaces
Brodie, Ian M. and Dunn, Peter K.. 2010. "Commonality of rainfall variables influencing suspended solids concentrations in storm runoff from three different urban impervious surfaces." Journal of Hydrology. 387 (3-4), pp. 202-211. https://doi.org/10.1016/j.jhydrol.2010.04.008
The use of tablet and related technologies in mathematics teaching
Galligan, Linda, Loch, Birgit, McDonald, Christine and Taylor, Janet A.. 2010. "The use of tablet and related technologies in mathematics teaching." Australian Senior Mathematics Journal. 24 (1), pp. 38-51.
Becoming more numerate: the journey of Tania
Galligan, Linda. 2010. "Becoming more numerate: the journey of Tania." Sparrow, Len, Kissane, Barry and Hurst, Chris (ed.) 33rd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA33). Fremantle, Australia 03 - 07 Jul 2010 Sydney, Australia.
Evolution and emerging trends of university writing groups
Galligan, Linda, Cretchley, Patricia, George, Lucy, Martin-McDonald, Kris, McDonald, Jacquie and Rankin, Janet. 2003. "Evolution and emerging trends of university writing groups." Queensland Journal of Educational Research. 19 (1), pp. 28-41.
Tertiary students with a disability or chronic illness: stigma and study
Hammer, Sara, Werth, Shalene and Dunn, Peter. 2009. "Tertiary students with a disability or chronic illness: stigma and study." Bedford, Tas, Huijser, Henk and Muller, Sarah (ed.) Enabling Pathways: 3rd National Conference of Enabling Educators. Toowoomba, Australia 25 - 27 Nov 2009 Toowoomba, Australia.
Perceived mathematical proficiencies required for first year study at The University of Southern Queensland
Taylor, Janet A., Galligan, Linda and Van Vuuren, Peter. 1998. Perceived mathematical proficiencies required for first year study at The University of Southern Queensland. Toowoomba, Australia. University of Southern Queensland.
Suspended particle characteristics in storm runoff from urban impervious surfaces in Toowoomba, Australia
Brodie, Ian M. and Dunn, Peter K.. 2009. "Suspended particle characteristics in storm runoff from urban impervious surfaces in Toowoomba, Australia." Urban Water Journal. 6 (2), pp. 137-146. https://doi.org/10.1080/15730620802541607
The impact of disabilities and long-term medical conditions on the student learning experience at USQ
Lawson, Kym, Werth, Shalene, Dunn, Peter and d'Abadie, Danielle. 2008. "The impact of disabilities and long-term medical conditions on the student learning experience at USQ." Pathways 9. Melbourne, Australia 02 - 05 Dec 2008 Melbourne, Australia.
Evaluating individual teaching on the road to embedding academic skills
Huijser, Hendrik, Kimmins, Lindy and Galligan, Linda. 2008. "Evaluating individual teaching on the road to embedding academic skills." Journal of Academic Language and Learning. 2 (1), pp. 23-38.
An integrative approach to building professional attributes in a first year nursing course: description and preliminary analysis of academic numeracy
Galligan, Linda, Loch, Birgit and Lawrence, Jill. 2010. "An integrative approach to building professional attributes in a first year nursing course: description and preliminary analysis of academic numeracy." Coben, Diana and O'Donoghue, John (ed.) ICME 11: Adult Mathematics Education. Monterrey, Mexico 06 - 13 Jul 2008 Limerick, Ireland.
Using Valsiner
Galligan, Linda. 2008. "Using Valsiner." Goos, Merrilyn, Brown, Ray and Makar, Katie (ed.) 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA 31). Brisbane, Australia 28 Jun - 01 Jul 2008 Wahroonga, Sydney, Australia.
Adults returning to study mathematics
Galligan, Linda and Taylor, Janet A.. 2008. "Adults returning to study mathematics." Forgasz, Helen, Barkatsas, Anastasios, Bishop, Alan, Clarke, Barbara, Keast, Stephen, Seah, Wee Tiong and Sullivan, Peter (ed.) Research in mathematics education in Australasia 2004-2007. Rotterdam, Netherlands. Sense Publishers. pp. 99-118
Evaluation of Tweedie exponential dispersion model densities by Fourier inversion
Dunn, Peter K. and Smyth, Gordon K.. 2008. "Evaluation of Tweedie exponential dispersion model densities by Fourier inversion." Statistics and Computing. 18 (1), pp. 73-86. https://doi.org/10.1007/s11222-007-9039-6
Building-in quality rather than assessing quality afterwards: a technological solution to ensuring computational accuracy in learning materials
Dunn, Peter K.. 2008. "Building-in quality rather than assessing quality afterwards: a technological solution to ensuring computational accuracy in learning materials." Journal of Computers in Mathematics and Science Teaching. 27 (1), pp. 47-63.
Future scenarios for endangered species habitat in an intensifying agricultural landscape
Apan, Armando, Maron, Martine and Dunn, Peter. 2007. "Future scenarios for endangered species habitat in an intensifying agricultural landscape." ESA 2007: Adapting to Change. Perth, Australia 25 - 30 Nov 2007 Perth, Australia. Ecological Society of Australia.
Analysis of the rainfall data in Queensland using the Tweedie GLM
Ohnishi, Toshio and Dunn, Peter K.. 2007. "Analysis of the rainfall data in Queensland using the Tweedie GLM ." 2007 Japanese Joint Statistical Meeting. Kobe, Japan 06 - 09 Sep 2007 Japan.
Cloud observations for the statistical evaluation of the UV index at Toowoomba, Australia
Parisi, A. V., Sabburg, J., Turner, J. and Dunn, P. K.. 2008. "Cloud observations for the statistical evaluation of the UV index at Toowoomba, Australia." International Journal of Biometeorology: the description, causes, and implications of climatic change. 52 (3), pp. 159-166. https://doi.org/10.1007/s00484-007-0106-7
What happens with all that maths? (Part 2)
Dunn, Peter K.. 2004. "What happens with all that maths? (Part 2)." Teaching Mathematics. 29 (1), pp. 18-24.
What happens with all that maths?
Dunn, Peter K.. 2003. "What happens with all that maths?" Teaching Mathematics. 28 (4), pp. 29-34.
Overcoming beliefs, attitudes and past experiences: the use of video for adult tertiary students studying mathematics in isolation
Taylor, Janet A. and Galligan, Linda. 2002. "Overcoming beliefs, attitudes and past experiences: the use of video for adult tertiary students studying mathematics in isolation." Australian Senior Mathematics Journal. 16 (1), pp. 20-33.
Continent-scale pattern in temporal dynamics of avian assemblages
Apan, Armando, Maron, Martine and Dunn, Peter K.. 2007. "Continent-scale pattern in temporal dynamics of avian assemblages." Bunce, R., Jongman, Rob, Hojas, L. and Weel, S. (ed.) IALE 2007: 25 Years Landscape Ecology: Scientific Principles in Practice. Wageningen, Netherlands 08 - 12 Jul 2007 Wageningen, Netherlands.
Research into research on adults in Bridging Mathematics: the past, the present and the future
Taylor, Janet A. and Galligan, Linda. 2006. "Research into research on adults in Bridging Mathematics: the past, the present and the future." Horne, M. and Marr, B. (ed.) 12th Annual International Conference of Adults Learning Mathematics-A Research Forum (ALM) jointly with the Australian Council for Adult Literacy. Melbourne, Australia 03 - 07 Jul 2005 Melbourne, Australia.
Mathematics for maths anxious tertiary students: integrating the cognitive and affective domains using interactive multimedia
Taylor, Janet and Galligan, Linda. 2006. "Mathematics for maths anxious tertiary students: integrating the cognitive and affective domains using interactive multimedia." Literacy and Numeracy Studies. 15 (1), pp. 23-43.
Estimating crop area using seasonal time series of Enhanced Vegetation Index from MODIS satellite imagery
Potgieter, Andries B., Apan, Armando, Dunn, Peter K. and Hammer, Graeme L.. 2007. "Estimating crop area using seasonal time series of Enhanced Vegetation Index from MODIS satellite imagery." Crop and Pasture Science. 58 (4), pp. 316-325. https://doi.org/10.1071/AR06279
Bootstrap confidence intervals for predicted rainfall quantiles
Dunn, Peter K.. 2001. "Bootstrap confidence intervals for predicted rainfall quantiles." International Journal of Climatology. 21 (1), pp. 89-94. https://doi.org/10.1002/joc.596
Calculus demonstrations using Matlab
Dunn, Peter K. and Harman, Chris. 2002. "Calculus demonstrations using Matlab." International Journal of Mathematical Education in Science and Technology. 33 (4), pp. 584-596. https://doi.org/10.1080/002073902320300856
Understanding statistics using computer demonstrations
Dunn, Peter K.. 2003. "Understanding statistics using computer demonstrations." Journal of Computers in Mathematics and Science Teaching. 22 (3), pp. 261-281.
Occurrence and quantity of precipitation can be modelled simultaneously
Dunn, Peter K.. 2004. "Occurrence and quantity of precipitation can be modelled simultaneously ." International Journal of Climatology. 24 (10), pp. 1231-1239. https://doi.org/10.1002/joc.1063
Statistical evaluation of data from tractor guidance systems
Dunn, Peter K., Powierski, Andrew P. and Hill, Rodger. 2006. "Statistical evaluation of data from tractor guidance systems." Precision Agriculture. 7 (3), pp. 179-192. https://doi.org/10.1007/s11119-006-9007-8
Series evaluation of Tweedie exponential dispersion model densities
Dunn, Peter K. and Smyth, Gordon K.. 2005. "Series evaluation of Tweedie exponential dispersion model densities." Statistics and Computing. 15 (4), pp. 267-280. https://doi.org/10.1007/s11222-005-4070-y
Identifying at-risk students: is it possible in a tertiary preparation course for adults?
Carmichael, Colin S., Dunn, Peter K. and Taylor, Janet A.. 2006. "Identifying at-risk students: is it possible in a tertiary preparation course for adults?" Grootenboer, Peter, Zevenbergen, Robyn and Chinnappan, Mohan (ed.) 29th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA29). Canberra, Australia 01 - 05 Jul 2006 Wahroonga, Sydney, Australia.
Power-variance models for modelling rainfall
Dunn, Peter K. and White, Neil. 2005. "Power-variance models for modelling rainfall." Francis, A. R., Matawie, K. M., Oshlack, A. and Smyth, Gordon K. (ed.) 20th International Workshop on Statistical Modelling. Sydney, Australia 10 - 15 Jul 2005
Spying on the winter wheat crop - generating objective planted area and crop production estimates using MODIS imagery
Potgieter, Andries B., Apan, Armando, Hammer, Graeme L. and Dunn, Peter K.. 2005. "Spying on the winter wheat crop - generating objective planted area and crop production estimates using MODIS imagery." Bellman, Chris, Cartwright, William and Shortis, Mark (ed.) 2005 Spatial Sciences Institute Biennial Conference: Spatial Intelligence, Innovation and Praxis (SSC2005). Melbourne, Australia 12 - 16 Sep 2005
We can still learn about probability by rolling dice and tossing coins
Dunn, Peter K.. 2005. "We can still learn about probability by rolling dice and tossing coins." Teaching Statistics. 27 (2), pp. 37-41. https://doi.org/10.1111/j.1467-9639.2005.00205.x