Amie Albrecht

Prof Amie Albrecht

Dean Academic, EBSS

Office of Education, Behavioural and Social Sciences

College of Education, Behavioural and Social Sciences

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

Amie Albrecht is Professor of Mathematics Education and Professorial Lead in UniSA Education Futures.
Amie's teaching expertise lies in developing mathematical thinking and problem-solving skills in students, and in innovative design of curricula and assessment that supports student growth. Her work has been recognised with national and university teaching awards, including an 2019 AAUT Citation for Outstanding Contributions to Student Learning. She is a regular speaker to maths teachers and school students, having given more than 30 invited keynotes, presentations and workshops across Australia since 2016.
Amie's interest in creating supportive learning environments and inclusive professional communities has led to a number of service and leadership roles within the mathematics profession and education communities.
Prior to moving to Education Futures, Amie's research focussed mainly on industrial applications of mathematics, particularly scheduling and control methods for railway operations and energy-efficient driving, and has been funded by the ARC Discovery and Linkage schemes and Cooperative Research Centres. 
She is one of 16 women featured in the Australian Women of Mathematics gallery of portraits.

Efficient rail transport

The Energymiser in-cab driver advice system, developed by the UniSA Scheduling and Control Group, uses optimal control theory to help train drivers stay on time and minimise energy use. The system is used by railways around the world, including passenger trains in the UK and TGV trains in France. ARC Linkage Project with Peter Pudney and Phil Howlett (UniSA).

Perturbed linear operators

Numerical solution procedures for the inversion of linear matrix pencils. ARC Discovery Project with Phil Howlett and Geetika Verma (UniSA) and Kostia Avrachenkov (INRIA France).

Year Citation
2025 Kapsis, M., Pudney, P., Howlett, P., Zhou, P., & Albrecht, A. (2025). REDUCING ENERGY DURING SPECIFIED TIME INTERVALS FOR MULTIPLE TRAINS USING SIMPLE TRAIN MODELS. Anziam Journal, 67(e30), 1-16.
DOI Scopus1 WoS1
2024 Beinke, A., O'Keeffe, L., Albrecht, A., & White, B. (2024). An approach to building thinking classrooms in year 7 mathematics. The Australian Mathematics Education Journal, 6(1), 4-10.
2023 Howlett, P., Pudney, P., & Albrecht, A. (2023). An optimal train journey with bounds on energy consumption during specified intermediate time intervals. Journal of Rail Transport Planning and Management, 27(100391), 100391.
DOI Scopus5 WoS5
2023 Howlett, P., Pudney, P., & Albrecht, A. (2023). Optimal Driving Strategies for a Fleet of Trains on Level Track with Prescribed Intermediate Signal Times and Safe Separation. Transportation Science, 57(2), 399-423.
DOI Scopus7 WoS5
2022 Albrecht, A., Howlett, P., & Pudney, P. (2022). Optimal Driving Strategies for Two Successive Trains on Level Track with Safe Separation. IEEE Transactions on Intelligent Transportation Systems, 23(1), 280-295.
DOI Scopus7 WoS6
2020 Scheepmaker, G. M., Pudney, P. J., Albrecht, A. R., Goverde, R. M. P., & Howlett, P. G. (2020). Optimal running time supplement distribution in train schedules for energy-efficient train control. Journal of Rail Transport Planning and Management, 14(100180), 100180.
DOI Scopus40 WoS33
2020 Albrecht, A., Howlett, P., & Verma, G. (2020). Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity. Linear Algebra and its Applications, 595, 33-62.
DOI Scopus6 WoS5
2020 Albrecht, A., Avrachenkov, K., Howlett, P., & Verma, G. (2020). Evolutionary dynamics in discrete time for the perturbed positive definite replicator equation. ANZIAM Journal, 62(2), 148-184.
DOI Scopus3 WoS3
2020 Albrecht, A., Howlett, P., & Verma, G. (2020). Inversion of operator pencils on Hilbert space. Journal of the Australian Mathematical Society, 108 8(2), 1-32.
DOI Scopus5 WoS4
2019 Albrecht, A., Howlett, P., & Verma, G. (2019). The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra. Linear algebra and its applications, 574, 216-251.
DOI Scopus7 WoS7
2019 Trenholm, S., Hajek, B., Robinson, C., Chinnappan, M., Albrecht, A., & Ashman, H. (2019). Investigating undergraduate mathematics learners' cognitive engagement with recorded lecture videos. International journal of mathematical education in science and technology, 50(1), 3-24.
DOI Scopus40 WoS32
2018 Albrecht, A., Howlett, P., & Verma, G. (2018). Optimal splitting of Parseval frames using Walsh matrices. Poincare journal of analysis and applications, 2018(2, SI II), 39-58.
DOI
2018 Albrecht, A., Howlett, P., & Verma, G. (2018). Optimal splitting of Parseval frames using Walsh matrices. Poincare Journal of Analysis and Applications, 2018(2 Special Issue), 39-58.
Scopus1
2018 Galapitage, A., Albrecht, A. R., Pudney, P., Vu, X., & Zhou, P. (2018). Optimal real-time junction scheduling for trains with connected driver advice systems. Journal of Rail Transport Planning and Management, 8(1), 29-41.
DOI Scopus12 WoS9
2018 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2018). The two-train separation problem on non-level track—driving strategies that minimize total required tractive energy subject to prescribed section clearance times. Transportation Research Part B Methodological, 111, 135-167.
DOI Scopus23 WoS21
2016 Albrecht, A., Howlett, P., & Pudney, P. (2016). The cost-time curve for an optimal train journey on level track. Anziam Journal, 58(1), 10-32.
DOI Scopus10 WoS8
2016 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2016). The key principles of optimal train control—Part 2: Existence of an optimal strategy, the local energy minimization principle, uniqueness, computational techniques. Transportation Research Part B Methodological, 94, 509-538.
DOI Scopus213 WoS163
2016 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2016). The key principles of optimal train control—Part 1: Formulation of the model, strategies of optimal type, evolutionary lines, location of optimal switching points. Transportation Research Part B Methodological, 94, 482-508.
DOI Scopus277 WoS221
2016 Albrecht, A. R., Howlett, P. G., Pudney, P. J., Vu, X., & Zhou, P. (2016). An optimal timetable for the two train separation problem on level track. Pacific journal of optimization, 12(2), 327-353.
WoS3
2015 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.
DOI Scopus9 WoS6
2015 Albrecht, A. R., Howlett, P. G., Pudney, P. J., Vu, X., & Zhou, P. (2015). Energy-efficient train control: The two-train separation problem on level track. Journal of Rail Transport Planning and Management, 5(3), 163-182.
DOI Scopus51 WoS43
2014 Albrecht, A., Howlett, P., & Pearce, C. (2014). The fundamental equations for inversion of operator pencils on Banach space. Journal of Mathematical Analysis and Applications, 413(1), 411-421.
DOI Scopus11 WoS10
2013 Albrecht, A. R., Howlett, P. G., Pudney, P. J., & Vu, X. (2013). Energy-efficient train control: From local convexity to global optimization and uniqueness. Automatica, 49(10), 3072-3078.
DOI Scopus202 WoS164
2013 Pudney, P., Albrecht, A., Bunker, J., & Howlett, P. (2013). Estimating the robustness of long-haul train plans. Proceedings of the Institution of Mechanical Engineers Part F Journal of Rail and Rapid Transit, 227(5), 582-590.
DOI Scopus2 WoS1
2013 Anjomshoa, H., Albrecht, A. R., Lee, D. H., & Pudney, P. J. (2013). Optimising passing bay locations and vehicle schedules in underground mines. Journal of the Operational Research Society, 64(2), 241-249.
DOI Scopus2 WoS2
2013 Albrecht, A. R., Panton, D. M., & Lee, D. H. (2013). Rescheduling rail networks with maintenance disruptions using problem space search. Computers & operations research, 40(3), 703-712.
DOI Scopus109 WoS101
2012 Anjomshoa, H., Albrecht, A. R., Lee, D. H., & Pudney, P. J. (2012). Efficient vehicle haulage in underground mines. Transactions of the Institutions of Mining and Metallurgy Section A Mining Technology, 121(2), 83-90.
DOI Scopus2 WoS1
2011 Albrecht, A. R., Howlett, P. G., & Pearce, C. E. M. (2011). Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series. Journal of mathematical analysis and applications, 383(1), 95-110.
DOI Scopus8 WoS8
2010 Howlett, P., Albrecht, A., & Pearce, C. (2010). Laurent series for inversion of linearly perturbed bounded linear operators on Banach space. Journal of Mathematical Analysis and Applications, 366(1), 112-123.
DOI Scopus7 WoS6
2010 Anjomshoa, H., Lee, D. H., Pudney, P. J., Albrecht, A. R., & MacKenzie, S. A. (2010). Passing bays in an underground mine. Transactions of the Institutions of Mining and Metallurgy Section A Mining Technology, 119(1), 31-33.
DOI Scopus3 WoS2
2009 Albrecht, A. R., De Jong, J., Howlett, P. G., & Pudney, P. J. (2009). Estimating the robustness of train plans for single-line corridors with crossing loops. Anziam Journal, 51(SUPPL.), C768-C783.
DOI Scopus1
2009 Albrecht, A., Howlett, P., & Coleman, D. (2009). Application of OD matrices to the design of train services. Australasian journal of engineering education, 15(2), 95-104.
2009 Albrecht, A. R., Howlett, P. G., & Coleman, D. (2009). Application of origin-destination matrices to the design of train services. Australasian journal of engineering education, 15(2), 95-104.
2008 Albrecht, A. R., & White, K. (2008). Counting paths on a grid. Australian Mathematical Society Gazette, 35(1), 43-48.
2008 Albrecht, A. R., & White, K. (2008). Counting paths in a grid. Aust MS Gazette, 35(1), 43-48.

Year Citation
2024 Albrecht, A., & O'Keeffe, L. (2024). Beyond qualifications: identity of out-of-field teachers in years 7-10 mathematics in South Australia. In Surfing the waves of mathematics education. Proceedings of the 46th annual conference of the Mathematics Education Research Group of Australasia (pp. 87-94). Australia: The Mathematics Education Research Group of Australasia.
2023 Gorman, V., O'Keeffe, L., Albrecht, A., & McPhee, J. (2023). Challenges to numeracy across the curriculum: reflections from a case study. In B. Reid-O'Connor, E. Prieto-Rodriguez, K. Holmes, & A. Hughes (Eds.), Proceedings of the 45th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 227-234). Australia: Mathematics Education Research Group of Australasia Inc.
2023 Albrecht, A., O'Keeffe, L., & Morrison, A. (2023). What matters with out-of-field teaching: a preliminary analysis of middle years teachers of mathematics in South Australia. In B. Reid-O'Connor (Ed.), Proceedings of the 45th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 81-89). Australia: The Mathematics Education Research Group of Australasia.
2022 O'Keeffe, L., White, B., Albrecht, A., & O'Leary, M. (2022). A snapshot of gender and mathematics anxiety in years 5 to 8. In N. Fitzallen (Ed.), Proceedings of the 44th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 426-433). Australia: The Mathematics Education Research Group of Australasia.
2019 Galapitage, A., Albrecht, A. R., Zhou, P., & Pudney, P. (2019). Optimal real-time line scheduling for trains with connected driver advice systems. In A. Peterson, & M. Bohlin (Eds.), 8th International Conference on Railway Operations Modelling and Analysis (ICROMA) conference proceedings (pp. 340-359). Sweden: Linköping University Electronic Press.
2019 Kapsis, M., Albrecht, A. R., & Pudney, P. J. (2019). Optimal partitioning of photovoltaic modules on a curved solar collector. In 23rd International Congress on Modelling and Simulation Supporting Evidence Based Decision Making the Role of Modelling and Simulation Modsim 2019 (pp. 109-115). Australia: Modelling and Simulation Society of Australia and New Zealand.
DOI Scopus1
2018 Sweatman, W., White, K., Albrecht, A., Peron, M., Pudney, P., & Whittle, D. (2018). Mining sequencing to control blend quality. In ANZIAM Journal Vol. 58 (pp. 33). United Kingdom: Australian Mathematical Publishing Association, Inc..
DOI
2015 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2015). Optimal driving strategies for two successive trains on level track subject to a safe separation condition. In Proceedings of the American Control Conference Vol. 2015-July (pp. 2924-2929). United States: IEEE.
DOI Scopus14
2015 Albrecht, A., Belchamber, E. R., Bradford, E. V., Galapitage, A. H. N., Mills, S. J., Nguyen, T. T. T., . . . Williams, P. B. (2015). Mathematical techniques to aid the Australian Army in selecting new defence vehicles. In R. Anderssen, T. Weber, & M. McPhee (Eds.), MODSIM (pp. 788-794). Australia: Modelling and Simulation Society of Australia and New Zealand.
2015 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2015). Energy-efficient train control: the two-train separation problem on level track. In Proceedings of the 6th International Conference on Railway Operations Modelling and Analysis - RailTokyo2015 (pp. 1-17). US: RailTec.
2015 Webby, B., Quinn, D., Albrecht, A., & White, K. (2015). Mind the Gap: Exploring knowledge decay in online sequential mathematics courses. In Ascilite 2015 (pp. 582-587). Australia: Australasian Society for Computers in Learning in Tertiary Education (ASCILITE).
2015 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2015). Optimal driving strategies for two successive trains on level track subject to a safe separation condition. In 2015 AMERICAN CONTROL CONFERENCE (ACC) (pp. 2924-2929). IL, Chicago: IEEE.
WoS12
2015 Albrecht, A. (2015). More than mathematics: developing effective problem solvers. In N. Davis, & T. Spencer (Eds.), Mathematics: learn, lead, link (pp. 8-19). Australia: Australian Association of Mathematics Teachers.
2014 Albrecht, A., Howlett, P., Pudney, P., Vu, X., Zhou, P., & Chen, D. (2014). Using maximum power to save energy∗. In 2014 17th IEEE International Conference on Intelligent Transportation Systems ITSC 2014 (pp. 1205-1208). US: IEEE.
DOI Scopus6 WoS3
2014 Albrecht, A., Koelewijn, J., & Pudney, P. (2014). Energy-efficient recovery of delays in a rail network. In Atrf 2011 34th Australasian Transport Research Forum (pp. 1-7). Australia: Australasian Transport Research Forum.
Scopus7
2013 Albrecht, A., & Pudney, P. (2013). Coordinated charging of electric vehicles. In Proceedings 20th International Congress on Modelling and Simulation Modsim 2013 (pp. 1468-1474). Australia: Modelling and Simulation Society of Australia and New Zealand.
2013 Albrecht, A., Howlett, P., Pudney, P., Vu, X., & Zhou, P. (2013). The two train separation problem on level track. In P. Gaertner (Ed.), 22nd National Conference of the Australian Society for Operations Research (ASOR 2013) (pp. 247-253). Australia: The Australian Society for Operations Research.
2013 Albrecht, A., & Pudney, P. (2013). Pickup and delivery with a solar-recharged vehicle. In P. Gaertner (Ed.), 22nd National Conference of the Australian Society for Operations Research (ASOR 2013) (pp. 239-246). Australia: The Australian Society for Operations Research.
2013 Kamarazaman, M., Albrecht, A., & Pudney, P. (2013). Train scheduling and cooperative games. In P. Gaertner (Ed.), 22nd National Conference of the Australian Society for Operations Research (ASOR 2013) (pp. 261-271). Australia: Australian Society for Operations Research.
2012 Pudney, P., Albrecht, A., Stoltz, C., Ghys, S., & Coleman, D. (2012). Integrating Driving Advice with Safeworking Displays. In CORE 2012: Global Perspectives; Conference on railway engineering (pp. 601-605). Australia: Informit.
2011 Albrecht, A., Howlett, P., Pudney, P., & Vu, X. (2011). Optimal train control: Analysis of a new local optimization principle. In Proceedings of the American Control Conference (pp. 1928-1933). Piscataway, New Jersey, US: IEEE.
DOI Scopus30 WoS4
2011 Pudney, P. J., Howlett, P. G., Albrecht, A. R., Coleman, D., Vu, X., & Koelewijn, J. (2011). Optimal driving strategies with intermediate timing points. In International heavy haul association conference : IHHA 2011 (pp. 1-4). US: International Heavy Haul Association.
2009 Albrecht, A., De Jong, J., Howlett, P. G., Panton, D. M., & Pudney, P. J. (2009). Assessing Australian interstate train plans. In Conference on Transportation Scheduling and Disruption Handling (pp. 1-15). Australia: CTI-Monash Centre for Optimisation.
2009 Albrecht, A. R., Holyoak, N., Raicu, R., Pudney, P. J., & Zito, R. (2009). Electric vehicles: the solution to emissions from transport?. In AutoCRC conference 2009 : conference proceedings (pp. 1-10). Pt. Melbourne, Vic.: Cooperative Research Centre for Advanced Automotive Technology.
2009 Taylor, M. A. P., Pudney, P., Zito, R., Holyoak, N., Albrecht, A., & Raicu, R. (2009). Planning for electric vehicles in Australia - Can we match environmental requirements, technology and travel demand?. In 32nd Australasian Transport Research Forum Atrf 2009. New Zealand: Ministry of Transport.
Scopus8
2009 Coleman, D., Stoltz, C., Pudney, P., Howlett, P., Vu, X., & Albrecht, A. (2009). Using simulation to assess the benefits of energy-efficient driving strategies. In Proceedings 9th International Heavy Haul Conference Heavy Haul and Innovation Development (pp. 1048-1052). China: China Railway Publishing House.
Scopus1
2001 Ong, H. T., Albrecht, A. R., & Oxenham, M. (2001). Estimating a target's origin or destination from track and location information. In 4th International conference on information fusion, volume 2. Montreal, Quebec: International Society of Information Fusion (ISIF).

Year Citation
2012 Pudney, P. J., Howlett, P. G., & Albrecht, A. R. (2012). WO2012119197, Improving timekeeping and energy efficiency for trains.

  • The fundamental equations for inversion of operator pencils, ARC - Discovery Projects, 01/04/2016 - 31/08/2019

  • Improving train flows with connected driver advice systems, TTG Transportation Technology Pty Limited, 01/07/2015 - 31/12/2018

  • Improving train flows with connected driver advice systems , ARC - Linkage Project, 15/12/2015 - 31/12/2018

Courses I teach

  • EDUC 4242 Mathematics Curriculum 2 (2025)
  • EDUC 5292 Mathematics for Secondary Teaching 2 (2025)
  • EDUC 4242 Mathematics Curriculum 2 (2024)
  • EDUC 4244 Thinking and Working Mathematically (2024)
  • EDUC 5292 Mathematics for Secondary Teaching 2 (2024)

Date Role Research Topic Program Degree Type Student Load Student Name
2025 Co-Supervisor Developmental Dyscalculia: An investigation of Australian and UK policies and practices Doctor of Philosophy Doctorate Part Time Claire Nicholls
2025 Principal Supervisor The Primary Mathematics Teacher Educator Landscape in Australian Universities - Doctorate Part Time Ms Helen Booth
2023 Principal Supervisor Measuring students mathematical resilience to inform teacher practice in the middle years - Doctorate Part Time Vanessa Ann Gorman
2023 Co-Supervisor Managing peak power demands for a fleet of trains Doctor of Philosophy Doctorate Full Time Miss Maria Kapsis
2023 Principal Supervisor Minding the gap: strategies for differentiating mathematics instruction in the middle years - Doctorate Part Time Mrs Kim Athalie Thomas
2022 Co-Supervisor Teachers' engagement with numeracy across the curriculum - Doctorate Part Time Sean Venning
2016 Principal Supervisor Computational methods for the inversion of matrix pencils Doctor of Philosophy Doctorate Part Time Ms Liz Bradford

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