Academic Numeracies Framework in the GenAI Era

Presentation


Howarth, Debi, Salmeron, Raquel and Galligan, Linda. 2024. "Academic Numeracies Framework in the GenAI Era." 2024 Learning and Teaching Symposium . Online 18 - 18 Oct 2024 Australia.
Paper/Presentation Title

Academic Numeracies Framework in the GenAI Era

Presentation TypePresentation
AuthorsHowarth, Debi, Salmeron, Raquel and Galligan, Linda
Number of Pages11
Year2024
Place of PublicationAustralia
Conference/Event2024 Learning and Teaching Symposium
Event Details
2024 Learning and Teaching Symposium
Delivery
Online
Event Date
18 to end of 18 Oct 2024
Event Location
Online
Event Venue
Torrens University Australia
Abstract

The Academic Numeracies Framework (ANF) systematically embeds numeracy competencies into tertiary courses and learning development initiatives. Using action research and mixed-methods analysis, the ANF is being refined through focus-group feedback and trialed in a commencing course.

In the GenAI era, students must use and apply key numeracy competencies through appropriate use of GenAI, and across disciplines (Steele et al, 2008).  Karaali (2023) suggests ChatGPT can make mistakes in “quantitatively rich contexts”, even with basic problems. It is, therefore, critical that students engage with numeracy competencies that equip them to recognise errors.

The ANF competency use of mathematical tools can naturally incorporate AI-fluency concepts (Yee et al. 2023). All other ANF competencies (communication, mathematising, mathematical representation, reasoning and judgment, devising problem-solving strategies, and using symbolic language and operations) can seamlessly include effective and meaningful interactions with GenAI. That is, effectively interacting with AI in mathematics involves formulating problems using precise prompts, applying technical language, ensuring sound methods, interpreting responses, and evaluating the reasonableness of AI-generated solutions.

Focussing on academic numeracy (Brady 2016) competencies may support a transition from assessing knowledge via artefacts to assessing the learning process itself. This change is critical in the AI-enabled era, where the production of artefacts is not an effective indicator of learning.  

KeywordsAcademic Numeracy; Artificial Intelligence
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020390109. Mathematics and numeracy curriculum and pedagogy
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Byline AffiliationsTorrens University
University of Southern Queensland
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Budaj, J., Kocifaj, M., Salmeron, R. and Hubeny, I.. 2015. "Tables of phase functions, opacities, albedos, equilibrium temperatures, and radiative accelerations of dust grains in exoplanets." Monthly Notices of the Royal Astronomical Society. 454 (1), pp. 2-27. https://doi.org/10.1093/mnras/stv1711
Magnetocentrifugal jets and chondrule formation in protostellar disks
Salmeron, Raquel and Ireland, Trevor. 2014. "Magnetocentrifugal jets and chondrule formation in protostellar disks." Booth, Mark, Matthews, Brenda C. and Graham, James R. (ed.) 2013 IAU Symposium: Exploring the Formation and Evolution of Planetary Systems. Victoria, Canada 02 - 07 Jun 2013 United States. https://doi.org/10.1017/S1743921313008442
Multi-epoch sub-arcsecond [Fe II] spectroimaging of the DG Tau outflows with NIFS – I. First data epoch
White, M. C., McGregor, P. J, Bicknell, G. V., Salmeron, R. and Beck, T. L.. 2014. "Multi-epoch sub-arcsecond [Fe II] spectroimaging of the DG Tau outflows with NIFS – I. First data epoch." Monthly Notices of the Royal Astronomical Society. 441 (2), pp. 1681-1707. https://doi.org/10.1093/mnras/stu654
Multi-epoch subarcsecond [Fe II] spectroimaging of the DG Tau outflows with NIFS – II. On the nature of the bipolar outflow asymmetry
White, M. C., Bicknell, G. V., McGregor, P. J. and Salmeron, R. 2014. "Multi-epoch subarcsecond [Fe II] spectroimaging of the DG Tau outflows with NIFS – II. On the nature of the bipolar outflow asymmetry." Monthly Notices of the Royal Astronomical Society. 442 (1), pp. 28-42. https://doi.org/10.1093/mnras/stu788
Academic numeracy as a framework for course development
Galligan, Linda. 2013. "Academic numeracy as a framework for course development." Hector-Mason, Anestine and Coben, Diana (ed.) 19th International Conference of Adults Learning Mathematics - A Research Forum (ALM 2013): Synergy: Working Together to Achieve more than the Sum of the Parts. Auckland, New Zealand 26 - 29 Jun 2013 Hamilton, New Zealand.
Students using digital technologies to produce screencasts that support learning in mathematics
Galligan, Linda and Hobohm, Carola. 2013. "Students using digital technologies to produce screencasts that support learning in mathematics." Steinle, V., Ball, L. and Bardini, C. (ed.) 36th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA36). Melbourne, Australia 07 - 11 Jul 2013 Adelaide, Australia.
Students' mathematical preparation Part A: lecturers' perceptions
Galligan, Linda, Wandel, Andrew, Pigozzo, Robyn, Frederiks, Anita, Robinson, Clare, Abdulla, Shahab and Dalby, Tim. 2013. "Students' mathematical preparation Part A: lecturers' perceptions." Deborah, King, Birgit, Loch and Leanne, Rylands (ed.) 9th Delta Conference of Teaching and Learning of Undergraduate Mathematics and Statistics 2013: Shining Through the Fog. Kiama, Australia 24 - 29 Nov 2013 Sydney, Australia.
Students' mathematical preparation Part B: students' perceptions
Dalby, Tim, Robinson, Clare, Abdulla, Shahab, Galligan, Linda, Frederiks, Anita, Pigozzo, Robyn and Wandel, Andrew. 2013. "Students' mathematical preparation Part B: students' perceptions." King, Deborah, Loch, Birgit and Rylands, Leanne (ed.) 9th Delta Conference of Teaching and Learning of Undergraduate Mathematics and Statistics 2013: Shining Through the Fog. Kiama, Australia 24 - 29 Nov 2013 Sydney, Australia.
Wireless tablet PCs for enhanced teaching at an Australian regional university teaching both campus and distance modes
Goh, Steven Chingnam, Galligan, Linda Ann and Ku, Harry. 2013. "Wireless tablet PCs for enhanced teaching at an Australian regional university teaching both campus and distance modes." 120th American Society for Engineering Education Annual Conference and Exposition (ASEE 2013): Engineering Education: Frankly, We Do Give a D*mn. Atlanta, GA. United States 23 - 26 Jun 2013 Washington, DC. United States.
A systematic approach to embedding academic numeracy at university
Galligan, Linda. 2013. "A systematic approach to embedding academic numeracy at university." Higher Education Research and Development. 32 (5), pp. 734-747. https://doi.org/10.1080/07294360.2013.777037
Becoming competent, confident and critically aware: tracing academic numeracy development in nursing
Galligan, Linda. 2013. "Becoming competent, confident and critically aware: tracing academic numeracy development in nursing." Adults Learning Mathematics: An International Journal. 8 (1), pp. 20-30.
Tablet technology to facilitate improved interaction and communication with students studying mathematics at a distance
Galligan, Linda, Hobohm, Carola and Loch, Birgit. 2012. "Tablet technology to facilitate improved interaction and communication with students studying mathematics at a distance." Journal of Computers in Mathematics and Science Teaching. 31 (4), pp. 363-385.
Measuring academic numeracy: beyond competence testing
Galligan, Linda. 2011. "Measuring academic numeracy: beyond competence testing." Clark, Julie, Kissane, Barry, Mousley, Judith, Spencer, Toby and Thornton, Steve (ed.) 34th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA34). Alice Springs, Australia 03 - 07 Jul 2011 Adelaide, South Australia.
Learner-centred mathematics and statistics education using netbook tablet PCs
Loch, Birgit, Galligan, Linda, Hobohm, Carola and McDonald, Christine. 2011. "Learner-centred mathematics and statistics education using netbook tablet PCs." International Journal of Mathematical Education in Science and Technology. 42 (7), pp. 939-949. https://doi.org/10.1080/0020739X.2011.611910
Hall diffusion and the magnetorotational instability in protoplanetary discs
Wardle, Mark and Salmeron, Raquel. 2012. "Hall diffusion and the magnetorotational instability in protoplanetary discs." Monthly Notices of the Royal Astronomical Society. 422 (4), pp. 2737-2755. https://doi.org/10.1111/j.1365-2966.2011.20022.x
Reframing e-assessment: building professional nursing and academic attributes in a first year nursing course
Lawrence, Jill, Loch, Birgit and Galligan, Linda. 2008. "Reframing e-assessment: building professional nursing and academic attributes in a first year nursing course." Learning, Media and Technology. 33 (3), pp. 169-189. https://doi.org/10.1080/17439880802324020
Employing interdisciplinary collaborations to redefine academic practices in a university Nursing program
Lawrence, Jill, Loch, Birgit and Galligan, Linda. 2010. "Employing interdisciplinary collaborations to redefine academic practices in a university Nursing program." Devlin, M., Nagy, J. and Lichtenberg, A. (ed.) 33rd Higher Education Research and Development Society of Australasia Annual Conference (HERDSA 2010). Melbourne, Australia 06 - 09 Jul 2010 Milperra, Australia.
Scaffolding distance learning in mathematics for engineering: identifying key troublesome knowledge
Galligan, Linda, Wandel, Andrew P. and Hartle, R. Todd. 2010. "Scaffolding distance learning in mathematics for engineering: identifying key troublesome knowledge." Hudson, Peter, Chandra, Vinesh, King, Donna and Lee, Kar-Tin (ed.) 1st Science, Technology, Engineering and Mathematics in Education Conference (STEM 2010). Brisbane, Australia 26 - 27 Nov 2010 Brisbane, Australia.
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.
Wind-driving protostellar accretion discs – II. Numerical method and illustrative solutions
Salmeron, Raquel, Konigl, Arieh and Wardle, Mark. 2011. "Wind-driving protostellar accretion discs – II. Numerical method and illustrative solutions." Monthly Notices of the Royal Astronomical Society. 412 (2), pp. 1162-1180. https://doi.org/10.1111/j.1365-2966.2010.17974.x
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.
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.
MRI and Outflows: Angular Momentum Transport in Protoplanetary Disks
Salmeron, Raquel. 2009. "MRI and Outflows: Angular Momentum Transport in Protoplanetary Disks ." Astrophysics and Space Science. Springer. https://doi.org/10.1007/978-3-642-00576-3_92
Wind-driving protostellar accretion discs – I. Formulation and parameter constraints
Konigl, Arieh, Salmeron, Raquel and Wardle, Mark. 2009. "Wind-driving protostellar accretion discs – I. Formulation and parameter constraints." Monthly Notices of the Royal Astronomical Society. 401 (1), pp. 479-499. https://doi.org/10.1111/j.1365-2966.2009.15664.x
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
Magnetorotational instability in protoplanetary discs: the effect of dust grains
Salmeron, Raquel and Wardle, Mark. 2008. "Magnetorotational instability in protoplanetary discs: the effect of dust grains." Monthly Notices of the Royal Astronomical Society. 388 (3), pp. 1223-1238. https://doi.org/10.1111/j.1365-2966.2008.13430.x
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.
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.
Radial and vertical angular momentum transport in protostellar discs
Salmeron, Raquel, Konigl, Arieh and Wardle, Mark. 2007. "Radial and vertical angular momentum transport in protostellar discs." Astrophysics and Space Science: an international journal of astronomy, astrophysics and space science. 311 (1-3), pp. 81-85. https://doi.org/10.1007/s10509-007-9563-z
Angular momentum transport in protostellar discs
Salmeron, Raquel, Konigl, Arieh and Wardle, Mark. 2007. "Angular momentum transport in protostellar discs." Monthly Notices of the Royal Astronomical Society. 375 (1), pp. 177-183. https://doi.org/10.1111/j.1365-2966.2006.11277.x
Magnetorotational instability in protoplanetary discs
Salmeron, Raquel and Wardle, Mark. 2005. "Magnetorotational instability in protoplanetary discs." Monthly Notices of the Royal Astronomical Society. 361 (1), pp. 45-69. https://doi.org/10.1111/j.1365-2966.2005.09060.x
Magnetorotational instability in stratified, weakly ionized accretion discs
Salmeron, Raquel and Wardle, Mark. 2003. "Magnetorotational instability in stratified, weakly ionized accretion discs." Monthly Notices of the Royal Astronomical Society. 345 (3), pp. 992-1008. https://doi.org/10.1046/j.1365-8711.2003.07024.x