why do students fail university mathematics?...why do students fail university mathematics?...

1
CUTL Centre for University Teaching and Learning For more than a decade in Australia concerns have been raised about our declining interest and ability in mathematics, and subjects requiring higher levels of numeracy. The problem The proportion of non-school-leavers entering university has increased. Many have been away from mathematics for some considerable time, and school-leavers are now arriving less prepared. Many university courses mandate the study of a mathematics unit in the first year, but unprepared students find these challenging. In 2010, Murdoch University integrated a voluntary online diagnostic quiz (Figure 1) into the enrolment process for units of study that required numeracy, enabling students to assess their own mathematical ability, and further direct them to the extra-curricular, pre- commencement ‘Bridging Maths’ program (Figure 2). Students who have insufficient background in mathematics are encouraged to study MAS164 ‘Fundamentals of Mathematics’, and there are support programs and help-clinics for this and other mathematics units. Despite the perceived availability and success of extra-curricular support programs, every year a considerable number of students fail mathematics in their first year at university. Are we missing something? What could we be doing differently? Our proposal The majority of studies in this field focus on quantitative methods using self-report questionnaires to measure students’ perceptions (the ability to know or understand something) of mathematics. In this study, we propose a different approach by using a teacher-student partnership to inform teachers of the issues faced by students who fail mathematics. Using grounded theory methodology and following semi-structured interviews we will ask students why they failed first-year university mathematics, (MAS164) from their perspective (a particular attitude towards or way of regarding something). Aims We hope to follow up with a broader quantitative study to investigate the relative importance of factors contributing to failure in 1st-year maths. By asking some guiding questions and listening to the students’ stories in this study, we will gain an insight to inform future developments of both learning support and mainstream teaching of first-year mathematics. Figure 1. Homepage for the Maths Diagnostic Quiz. Students have access to the quiz directly after enrolment. Figure 2. Excerpt from the CUTL homepage where students enrol in math workshops for BUS130, CHE140, EDN114, MAS164, MAS180, MAS183 & PSY173 To generate theory on the perspectives of students on why they fail first-year mathematics. Review diagnostic and support programs in light of students’ perspectives. Assess the consequences for pedagogy in mathematics. “Australia’s distinguished tradition and capability in mathematics and statistics is on a truly perilous path. The decline has already taken its toll: the university presence has been decimated, in part by unanticipated consequences of funding formulas and by neglect of the basic principle that mathematics be taught by mathematicians, and the supply of students and graduates is falling short of national needs.” National Strategic Review of Mathematical Science Research in Australia 2006 “For decades, support for research has been rationed; and interest in science and mathematics in schools and universities has declined…... There is an urgent need to act if we are not to be left behind.” Ian Chubb, Chief Scientist (2013) “Mathematics is in a death spiral in Australian schools. Just one in 10 students studied advanced maths in year 12 last year.” Financial Review (2014) References Cano, F., & Berbén, A. B. G. (2009). University students' achievement goals and approaches to learning in mathematics. British Journal of Educational Psychology, 79(1), 131-153. doi: 10.1348/000709908X314928 Cohen, L., Manion, L., & Morrison, K. (2000). Research methods in education. New York; London: Routledge. Crawford, K., Gordon, S., Nicholas, J., & Prosser, M. (1994). Conceptions of mathematics and how it is learned: The perspectives of students entering university. Learning and Instruction, 4(4), 331-345. doi: http://dx.doi.org/10.1016/0959-4752(94)90005-1 Crawford, K., Gordon, S., Nicholas, J., & Prosser, M. (1998). Qualitatively different experiences of learning mathematics at university. Learning and Instruction, 8(5), 455-468. doi: http://dx.doi.org/10.1016/S0959-4752(98)00005-X Creswell, J.W. (2005). Educational research: planning, conducting, and evaluating quantitative and qualitative research. Boston: Pearson. Felten, P. (2013). Principles of good practice in SoTL. Teaching and Learning Inquiry: The ISSOTL Journal, 1(1), 121-125. Fielding, M. (2001). Students as radical agents of change. Journal of educational change, 2(2), 123-141. Galligan, L. (2013). A systematic approach to embedding academic numeracy at university. Higher Education Research & Development, 32(5), 734-747. doi: 10.1080/07294360.2013.777037 Healey, M., Flint, A., & Harrington, K. (2014). Engagement through partnership: Students as partners in learning and teaching in higher education. The Higher Education Academy. Retrieved from https://www.heacademy.ac.uk/sites/default/files/resources/Engagement_through_partnership.pdf 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 & Technology, 44(6), 846-864. doi: 10.1080/0020739X.2013.808769 Jameson, M.M., & Fusco, B.R. (2014). Math anxiety, math self-concept, and math self-efficacy in adult learners compared to traditional undergraduate students. Adult Education Quarterly, 64(4), 306-322. doi: 10.1177/0741713614541461 Legg, A.M., & Locker, L. Jr. (2009). Math performance and its relationship to math anxiety and metacognition. North American Journal of Psychology, 11, 471. Marks, G.N. (2009). The Social effects of the Australian Higher Education Contribution Scheme (HECS). Higher Education, 57(1), 71-84. doi: 10.1007/s10734-008-9133-5 Mather, J., & Tadros, E. (2014, June 7). Australia’s maths crisis. Financial Review. Retrieved from http://www.afr.com/news/policy/education/australias-maths- crisis-20140606-iwfn1 National Strategic Review of Mathematics Sciences Research in Australia. (2006). Mathematics and statistics: Critical skills for Australia’s future. Parkville, Victoria: Department of Mathematics and Statistics, University of Melbourne. Neuman, W.L. (2000). Social research methods: qualitative and quantitative approaches. Boston: Allyn and Bacon. Norton, A. (2014). Unleashing student demand by ending number controls in Australia: An incomplete experiment. Higher Education Policy Institute. Tariq, V. N., & Durrani, N. (2012). Factors influencing undergraduates' self-evaluation of numerical competence. International Journal of Mathematical Education in Science and Technology, 43(3), 337-356. doi: 10.1080/0020739X.2011.618552 Woods, P. (1992). Symbolic Interactionism. In J. Goetz (Ed.), A Handbook of Qualitative Research in Education. London: Sage. Yorke, M., & Longden, B.(2004). Retention and student success in higher education. Maidenhead: Society for Research into Higher Education & Open University Press. Why do students fail university mathematics? Informing teachers through the student perspective Peter Geerlings 1 , Helen Cole 1 , Helen Middleton 2 & Doug Fletcher 2 Centre for University Teaching and Learning 1 School of Engineering and Information Technology 2 , Murdoch University, Western Australia

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Page 1: Why do students fail university mathematics?...Why do students fail university mathematics? Informing teachers through the student perspective Peter Geerlings1, Helen Cole1, Helen

CUTL Centre for University

Teaching and Learning

For more than a decade in Australia concerns have been raised about our declining interest and ability in mathematics,

and subjects requiring higher levels of numeracy.

The problem

The proportion of non-school-leavers entering university has increased. Many have been away from mathematics for some considerable time, and school-leavers are now arriving less prepared. Many university courses mandate the study of a mathematics unit in the first year, but unprepared students find these challenging. In 2010, Murdoch University integrated a voluntary online diagnostic quiz (Figure 1) into the enrolment process for units of study that required numeracy, enabling students to assess their own mathematical ability, and further direct them to the extra-curricular, pre-commencement ‘Bridging Maths’ program (Figure 2). Students who have insufficient background in mathematics are encouraged to study MAS164 ‘Fundamentals of Mathematics’, and there are support programs and help-clinics for this and other mathematics units. Despite the perceived availability and success of extra-curricular support programs, every year a considerable number of students fail mathematics in their first year at university. Are we missing something? What could we be doing differently?

Our proposal

The majority of studies in this field focus on quantitative methods using self-report questionnaires to measure students’ perceptions (the ability to know or understand something) of mathematics. In this study, we propose a different approach by using a teacher-student partnership to inform teachers of the issues faced by students who fail mathematics. Using grounded theory methodology and following semi-structured interviews we will ask students why they failed first-year university mathematics, (MAS164) from their perspective (a particular attitude towards or way of regarding something).

Aims

We hope to follow up with a broader quantitative study to investigate the relative importance of factors contributing to failure in 1st-year maths. By asking some guiding questions and listening to the students’ stories in this study, we will gain an insight to inform future developments of both learning support and mainstream teaching of first-year mathematics.

Figure 1. Homepage for the Maths Diagnostic Quiz. Students have access to the quiz directly after enrolment.

Figure 2. Excerpt from the CUTL homepage where students enrol in math workshops for BUS130, CHE140, EDN114, MAS164, MAS180, MAS183 & PSY173

• To generate theory on the perspectives of students on why they fail first-year mathematics.

• Review diagnostic and support programs in light of students’ perspectives.

• Assess the consequences for pedagogy in mathematics.

“Australia’s distinguished tradition and capability in mathematics and statistics is on a truly perilous path. The decline has already taken its toll: the university presence has been decimated, in part by unanticipated consequences of funding formulas and by neglect of the basic principle that mathematics be taught by mathematicians, and the supply of students and graduates is falling short of national needs.” National Strategic Review of Mathematical Science Research in Australia 2006

“For decades, support for research has been rationed; and interest in science and mathematics in schools and universities has declined…... There is an urgent need to act if we are not to be left behind.” Ian Chubb, Chief Scientist (2013)

“Mathematics is in a death spiral in Australian schools. Just one in 10 students studied advanced maths in year 12 last year.” Financial Review (2014)

References Cano, F., & Berbén, A. B. G. (2009). University students' achievement goals and approaches to learning in mathematics. British Journal of Educational Psychology, 79(1), 131-153. doi: 10.1348/000709908X314928 Cohen, L., Manion, L., & Morrison, K. (2000). Research methods in education. New York; London: Routledge. Crawford, K., Gordon, S., Nicholas, J., & Prosser, M. (1994). Conceptions of mathematics and how it is learned: The perspectives of students entering university. Learning and Instruction, 4(4), 331-345. doi: http://dx.doi.org/10.1016/0959-4752(94)90005-1 Crawford, K., Gordon, S., Nicholas, J., & Prosser, M. (1998). Qualitatively different experiences of learning mathematics at university. Learning and Instruction, 8(5), 455-468. doi: http://dx.doi.org/10.1016/S0959-4752(98)00005-X Creswell, J.W. (2005). Educational research: planning, conducting, and evaluating quantitative and qualitative research. Boston: Pearson. Felten, P. (2013). Principles of good practice in SoTL. Teaching and Learning Inquiry: The ISSOTL Journal, 1(1), 121-125. Fielding, M. (2001). Students as radical agents of change. Journal of educational change, 2(2), 123-141. Galligan, L. (2013). A systematic approach to embedding academic numeracy at university. Higher Education Research & Development, 32(5), 734-747. doi: 10.1080/07294360.2013.777037 Healey, M., Flint, A., & Harrington, K. (2014). Engagement through partnership: Students as partners in learning and teaching in higher education. The Higher Education Academy. Retrieved from https://www.heacademy.ac.uk/sites/default/files/resources/Engagement_through_partnership.pdf 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 & Technology, 44(6), 846-864. doi: 10.1080/0020739X.2013.808769 Jameson, M.M., & Fusco, B.R. (2014). Math anxiety, math self-concept, and math self-efficacy in adult learners compared to traditional undergraduate students. Adult Education Quarterly, 64(4), 306-322. doi: 10.1177/0741713614541461 Legg, A.M., & Locker, L. Jr. (2009). Math performance and its relationship to math anxiety and metacognition. North American Journal of Psychology, 11, 471. Marks, G.N. (2009). The Social effects of the Australian Higher Education Contribution Scheme (HECS). Higher Education, 57(1), 71-84. doi: 10.1007/s10734-008-9133-5 Mather, J., & Tadros, E. (2014, June 7). Australia’s maths crisis. Financial Review. Retrieved from http://www.afr.com/news/policy/education/australias-maths-crisis-20140606-iwfn1 National Strategic Review of Mathematics Sciences Research in Australia. (2006). Mathematics and statistics: Critical skills for Australia’s future. Parkville, Victoria: Department of Mathematics and Statistics, University of Melbourne. Neuman, W.L. (2000). Social research methods: qualitative and quantitative approaches. Boston: Allyn and Bacon. Norton, A. (2014). Unleashing student demand by ending number controls in Australia: An incomplete experiment. Higher Education Policy Institute. Tariq, V. N., & Durrani, N. (2012). Factors influencing undergraduates' self-evaluation of numerical competence. International Journal of Mathematical Education in Science and Technology, 43(3), 337-356. doi: 10.1080/0020739X.2011.618552 Woods, P. (1992). Symbolic Interactionism. In J. Goetz (Ed.), A Handbook of Qualitative Research in Education. London: Sage. Yorke, M., & Longden, B.(2004). Retention and student success in higher education. Maidenhead: Society for Research into Higher Education & Open University Press.

Why do students fail university mathematics? Informing teachers through the student perspective

Peter Geerlings1, Helen Cole1, Helen Middleton2 & Doug Fletcher 2

Centre for University Teaching and Learning1 School of Engineering and Information Technology2, Murdoch University, Western Australia

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Geerlings, P.M., Cole, H. and Fletcher, D. (2014) Why do students fail university mathematics?: Informing teachers through the student perspective. In: The Conversation. Murdoch University Symposium on Learning & Teaching, 26-28 August 2015, Murdoch University, Perth, Western Australia. http://researchrepository.murdoch.edu.au/28362/
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