Mary has a passion for teaching mathematics based on the firm belief that all students can be motivated and supported to achieve and need not be left behind due to special needs, interruptions to study, family circumstances, or even a past history of low success. She makes it her mission to explain the uses of mathematics in a wide variety of fields, and is well known for presenting interesting lectures and courses that challenge students to think. Currently she is the Subject Co-ordinator for "Arguments, Evidence and Intuition", a quantitative literacy subject available to all UTS students, and also is the Director of the UTS Mathematics and Science Study Support Centre.
Recently she was a co-ordinator of the "Maths Inside" project, to raise engagement in mathematics in years 8-12 in Australian Schools. https://www.uts.edu.au/research-and-teaching/our-research/maths-inside
President, Australian Association of Mathematics Teachers (AAMT) 2014-2016.
President, Mathematical Association of NSW (2010-2011)
Organising committee, Mathematics Education Research Group of Australasia(MERGA) 2014 Annual Conference.
Conference Chair, Engineering Mathematics and Applications Conference (EMAC) 2011 Annual Conference.
Can supervise: YES
Mathematics Curriculum Development, School years 7-12
Mathematics pedagogy and assessment at University
"Arguments, Evidence and Intuition" (Quantitative Literacy)
Mathematics (First year)
Mathematics for Engineers
Groen, L, Coupland, M, Langtry, T, Memar, J, Moore, BJ & Stanley, J 2015, 'The Mathematics Problem and Mastery Learning for First-Year, Undergraduate STEM Students', International Journal of Learning, Teaching and Educational Research, vol. 11, no. 1, pp. 141-160.
In the 2014 academic year Mastery Learning was implemented in four first-year mathematics subjects in an effort to address a lack of preparedness and poor outcomes of increasing numbers of undergraduate students in science, engineering and mathematics programs. This followed partial success in the use of diagnostic testing and pre-teaching, active learning, and a greater emphasis on problem solving in context - under-prepared students were still more likely to fail the pre-teaching subject and to struggle with subsequent mathematics subjects. Also, failure rates overall were higher than benchmarks required. This paper describes the learning design used, and the outcomes achieved, with implementing Mastery Learning – the positive: improved academic success, time management, and attitudes towards learning and Mathematics, an increased sense of independence, confidence and retention of content, and reduced stress and anxiety; and the negative: students having a sense of being taught how to pass a test rather than having a deeper understanding of the content. It will be seen that this negative is a consequence of a small but important difference in implementation.
Groen, L, Coupland, M, Memar, J & Langtry, T 2015, 'Mastery Learning to Address the Assumed Mathematics Knowledge Gap, Encourage Learning and Reflection, and Future-proof Academic Performance', International Journal of Innovation in Science and Mathematics Education, vol. 23, no. 2, pp. 65-79.
UTS Science, Engineering and Mathematics students who have studied General Mathematics at high school are far more likely to fail their first undergraduate mathematics subject compared to their counterparts who meet the non-compulsory "Assumed Knowledge" of 2 unit Mathematics. This problem has been growing in recent years as an increasing number of students seek to improve their tertiary entrance score by taking the no-calculus General Mathematics at the Higher School Certificate. This problem is not unique to the University of Technology, Sydney - mathematical under-preparedness is a problem world-wide, with a decade, or more, long history. For some years, UTS has used diagnostic testing and pre-teaching to assist under-prepared students. Unfortunately, students who studied General Mathematics are also more likely to fail the pre-teaching subject. This suggested something more was required. Mastery Learning was chosen as a potential solution. Results to date have been promising with improvements in academic success for under-prepared students. Students have also reported increased satisfaction, confidence and retention of content. However, some students felt all Mastery Learning taught them was how to pass the Mastery Tests. Differences in student experience appear to be due to differences in how Mastery Learning was implemented.
Langtry, T, Coupland, MP & Moore, BJ 2003, 'Mathematica in context', International Journal of Mathematical Education in Science & Technology, vol. 34, no. 5, pp. 699-718.View/Download from: Publisher's site
Ball, G, Stephenson, B, Smith, G, Wood, L, Coupland, M & Crawford, K 1998, 'Creating a diversity of mathematical experiences for tertiary students', International Journal of Mathematical Education in Science and Technology, vol. 29, no. 6, pp. 827-841.View/Download from: Publisher's site
A process is described for creating a more civerse set of experiences for undergraduate students in mathematics. While we use examples drawn from classes studying linear algebra, the procedures are appropriate for any undergraduate course in mathematics. The diversity of the activities is generated in part through the use of a taxonomy which addresses the nature of the activities rather than a hierarchy of levels of difficulty. All exercises used as illustrations have been attempted by students in second year undergraduate classes. © 1998 Taylor & Francis Group, LLC.
Smith, G, Wood, L, Coupland, M, Stephenson, B, Crawford, K & Ball, G 1996, 'Constructing mathematical examinations to assess a range of knowledge and skills', International Journal of Mathematical Education in Science and Technology, vol. 27, no. 1, pp. 65-77.View/Download from: Publisher's site
In this paper, we describe aspects of a programme to enhance student learning in undergraduate mathematics. We present ways of constructing formal examinations which assess a range of knowledge and skills and which encourage students to reflect on their learning. To assist with this process, we propose a taxonomy to classify assessment tasks ordered by the nature of the activity required to complete each task successfully, rather than in terms of difficulty. An extensive list of university level examples is given to illustrate descriptors in the taxonomy and to provide ideas for those interested in implementing an alternative approach to writing examination questions. © 1996 Taylor & Francis Group, LLC.
COUPLAND, M 1995, 'UNDERSTANDING IN MATHEMATICS - SIERPINSKA,A', EDUCATIONAL REVIEW, vol. 47, no. 2, pp. 232-232.
Galligan, L, Coupland, M, Dunn, PK, Hernandez Martinez, P & Oates, G 2020, 'Research into Teaching and Learning of Tertiary Mathematics and Statistics' in Research in Mathematics Education in Australasia 2016–2019, Springer Nature, Singapore, pp. 269-292.View/Download from: Publisher's site
Reviewed in this chapter is the growing depth and variety of research being undertaken in the tertiary mathematics field. In particular, the scope of the research and issues being examined have been highlighted in sections:
Tertiary mathematics education. The focus is strategies for teaching and learning in mathematics education and the professional learning of the lecturers and tutors.
Mathematical content. Papers reviewed are those that focus on certain content areas in tertiary mathematics, both practical and theoretical.
Tertiary statistics education. The authors reviewed the small but growing area of research that examines the teaching and learning of statistics, content areas of statistics education and some of the innovations being used in this area of teaching and learning.
Transitions and support. The focus is school to university transition and the support structures being implemented to provide academic support for undergraduate students of mathematics.
Service teaching. The authors consider papers that link mathematics into service areas such as engineering and the health sciences.
Coupland, MP, Dunn, P, Galligan, L, Oates, G. & Trenholm, S. 2016, 'Tertiary Mathematics Education.' in Makar, K, Dole, S, Visnovska, J, Bennison, A & Fry, K (eds), Research in Mathematics Education in Australasia 2012-2015, Springer, Singapore, pp. 187-211.
This review aims to critically promote quality research and focus on the building of research capacity in Australasia.
Coupland, MP & Crawford, K 2003, 'Activity theory used in an educational investigation' in Hasan, H, Gould, E & Verenikina, I (eds), Information Systems and Activity Theory, Volume 3, Expanding the Horizon, University of Wollongong Press, Wollongong NSW Australia, pp. 195-217.
Angelini, M, Prescott, A, Schuck, S, Rai, T, Lee, C & Coupland, M 2017, '"Maths Inside": A Project to Raise Interest in Mathematics', 40 years on: We are still learning! Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia, Mathematics Education Research Group of Australasia, 40th Annual Conference, MERGA : Mathematics Education Research Group of Australasia, Melbourne, pp. 181-188.
In this paper, we provide an overview of the "Maths Inside" project, funded by the Australian Maths and Science Partnership Program (AMSPP). The overall aim of the AMSPP is to improve uptake and participation of students in mathematics and science at secondary and tertiary levels. In this research project, we aim to improve student interest in mathematics and support mathematics teachers in their professional learning, through
provision of rich and investigative learning resources, including video case studies of CSIRO scientists and mathematicians. Data collection on the outcomes of the project is ongoing and will be reported in subsequent papers
Coupland, M, Solina, D & Cave, G 2017, 'Mastery Learning: Improving the Model', 40 years on: We are still learning! Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia, 40 years on: We are still learning! Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia, MERGA : Mathematics Education Research Group of Australasia, Melbourne, pp. 189-196.
In this paper, we report on developments in the Mastery Learning (ML) curriculum and assessment model that has been successfully implemented in a metropolitan university for teaching first-year mathematics. Initial responses to ML were positive; however, we ask
whether the nature of the ML tests encourages a focus on shallow learning of procedures, and whether the structure of the assessment regime provides sufficient motivation for learning more complex problem solving. We analysed assessment data, as well as student reports and survey responses in an attempt to answer these questions.
Groen, L, Beames, SY, Coupland, MP, Stanley, J & Bush, S 2013, 'Are science students ready for university mathematics?', Proceedings of the Australian Conference of Science and Mathematics Education (2013), ACSME 2013, University of Sydney, The Australian National University, Canberra.
Coupland, MP, Gardner, AP & Carmody Jones, G 2008, 'Mathematics for Engineering Education: What Students Say', Proceedings of the 31st MERGA Conference: Navigating Currents and Charting Directions, MERGA Conference, Mathematics Education Research Group of Australasia, Brisbane, pp. 139-146.
Coupland, MP & Crawford, K 2006, 'Many dimensions: the complex picture of student encounters with a computer algebra system', Identities Cultures & Learning Spaces, Mathematics Education Research Group of Australasia Inc, Canberra, pp. 155-156.
Coupland, MP 2000, 'First Experiences with a Computer Algebra System', Mathematics Education Beyond 2000. Proceedings of the Twenty-third Annual Conference of the Mathematics Education Research Group of Australasia Inc. held at Fremantle, Western Australia, 5-9 July 2000., M.E.R.G.A., Fremantle, W.A., pp. 204-211.
Groen, L, Coupland, M, Memar, J & Langtry, TN 2014, 'The past, present and future student of Mathematics – mastery learning to address the assumed mathematics knowledge gap, encourage learning and reflection, and future-proof academic performance', The Australia New Zealand Mathematics Convention, Melbourne, Australia.
First year students and academic staff in Science, Technology, Engineering and Mathematics (STEM) disciplines currently face many challenges. Failure rates at UTS are high in first year undergraduate Mathematics subjects for STEM programs. These high failure rates are particularly pronounced in students who studied General Mathematics this includes the subject Foundation Mathematics, a subject designed to address any gap in assumed knowledge and skills of first year students. Attrition is also a concern, with around 10% attrition after one semester and an additional 15% after two semesters. UTS is not alone in facing these challenges – under-preparedness for tertiary mathematics is a problem world-wide. When this problem first came to light more than a decade ago, UTS introduced the Readiness Survey (diagnostic test) to assess the extent to which the "Assumed Knowledge" could indeed be assumed. This assessment of assumed knowledge and the associated pre-teaching could be effective but as the failure rates demonstrate, success has been mixed. A meeting of first year Mathematics academics in 2013 decided to trial a different and historically successful approach – Mastery Learning. Mastery Learning endorses the belief that aptitude relates to the amount of time it takes someone to learn, rather than necessarily capability to master content. The research literature indicates positive effects of Mastery Learning on students, especially in achievement, attitudes towards learning and retention of content. This paper describes the learning design and positives and negatives of implementing Mastery Learning in first year Mathematics subjects.