Investigating how Curriculum Reform at Second Level is being Perceived by Third Level Mathematics Lectures
Author(s):
Mark Prendergast (presenting / submitting) Fiona Faulkner (presenting) Cormac Breen Michael Carr
Conference:
ECER 2016
Format:
Paper

Session Information

24 SES 01, STEM

Paper Session

Time:
2016-08-23
13:15-14:45
Room:
Vet-Theatre 114
Chair:
Javier Diez-Palomar

Contribution

In recent years low retention rates in STEM (Science, Technology, Engineering, Mathematics) courses at third level have resulted in international concern regarding the transition of students from second level to further education (Bourn, 2007). Much of this concern has focused on the mathematical under-preparedness of incoming third level students. This phenomenon in which students are under prepared for the mathematical demands of their undergraduate courses has been reported in Ireland, UK, Australia, and the United States and is regularly referred to as the ‘Maths Problem’ (Lawson,Croft and Waller, 2012). It is characterised by beginning undergraduates displaying a lack of basic mathematical skills, as well as fragmented understanding, inadequate concept knowledge, and an inability to successfully solve mathematical problems (Rylands and Coady, 2009; Gill, O’Donoghue, Faulkner & Hannigan, 2010).

In Ireland, measures have recently been put in place in second level education in an attempt to counteract the deficiencies reported in students’ mathematical performances upon entry to third level education. Significant changes have been made to the second level mathematics curriculum with the introduction of ‘Project Maths’. This new curriculum aims to place greater emphasis on student understanding of mathematical concepts, enabling students to relate mathematics to everyday scenarios with increased use of contexts and applications. Project Maths also aims to promote further focus on problem-solving skills and the alignment of assessment with the aforementioned revised classroom practices. Changes were rolled out nationally on a phased basis in September 2010 with different strands being introduced each year and subsequent adaptations being made to assessment in national examinations. Strands 1 and 2 of the revised syllabi were first examined at senior cycle level in all schools nationally in June 2012. Hence the first students who had encountered Project Maths entered third level education in September 2012. The phased implementation means that for each consecutive year after 2012, students have entered third level after being examined on more and more of the Project Maths syllabi. It will be 2017 before the first cohort of students who have experienced all 5 strands of Project Maths throughout their entire second level education will enter third level.

Hence while it is very early to evaluate the success of the curriculum reform at second level, an interim report has found that there is emerging evidence of the positive impacts of Project Maths on students’ experiences of, and attitudes towards, mathematics (Jeffers et al., 2013). Furthermore, students’ have been found to achieve more at individual strand level (Jeffers et al., 2013). However despite these early positives, there is also evidence to suggest that the reform is not having the desired effect at third level. Research carried out by Treacy and Faulkner (2015) has found that the transition to the new curriculum has coincided with a further decline of basic mathematics skills which are required in higher education. Additionally there is anecdotal evidence of negative attitudes and ambiguity towards the reform amongst third level mathematics lecturers (The Irish Times, June 2015).  This study aims to investigate how Project Maths is being perceived by third level mathematics lecturers and whether they have made any adaptions to course content, teaching and assessment approaches as a result of the introduction of Project Maths. The intention of this research is to gather data from mathematics lecturers to answer the following research question:

Are mathematics lecturers informed on the changes made to the teaching, learning and assessment practices at second level mathematics education and have they changed their practices at third level as a result? 

Method

The methodology involved the distribution of a mixed methods questionnaire to mathematics lecturers in Irish third level universities and institutes of technology. This questionnaire was designed by the authors and consisted of twelve questions, including a mixture of dichotomous questions, rating scales and open ended questions. The questions looked to gather information on a range of matters in relation to third level lecturers’ awareness of Project Maths. For example in the first three questions participants were asked to indicate how familiar they were with any changes to the syllabus, teaching approaches and assessment at second level. They were also asked to describe any of the changes which they were familiar with and outline any modifications to their teaching practices that they had made to reflect these changes. Prior to distribution, the questionnaire was piloted with five mathematics lectures who offered advice regarding the layout and structure of the questionnaire and the wording of some questions. The finalized version was then transcribed into Google forms and circulated via email to all mathematics departments in third level institutions around the country. A total of 44 mathematics lectures responded to the questionnaire. The majority of respondents were male (72%), aged 51 – 60 years old (40%) and were full time mathematics lecturers (86%) in universities (51%). The quantitative data from the questionnaires was inputted and analysed using Statistical Package for Social Sciences (SPSS) (Version 22.0) and a statistical analysis was conducted. The qualitative data was analysed using a thematic content analysis. Although there was not a huge amount of qualitative data it was decided that the authors would carry out such analysis in order to increase comprehensibility and to provide sound interpretation of the data.

Expected Outcomes

A separate Irish study found that 80% of school leavers in Ireland reported significant differences in approaches to teaching and learning mathematics between second and third level education (McCoy, 2014). This study carried out by the authors further emphasises the discrepancies which appear to be present at this transition stage. The findings show that although many lecturers are mindful of the concept of Project Maths, they are not aware of the changes in full and how it may impact upon their own course content, teaching and assessment strategies. For example 61% of the mathematics lecturers surveyed stated that they were either not at all familiar or slightly familiar with changes to teaching approaches and 67% detailed the same regarding changes to assessment. These findings are underscored by the fact that only 16% have adapted their teaching approaches and only 12% have adapted their assessment approaches. While second level mathematics teachers are receiving intensive retraining on how to modify their teaching methods, content and assessment strategies, third level mathematics lecturers have not been provided with the same professional development with 50% of lecturers maintaining that they do not need such upskilling. The quantitative data showed a near even split, both in favour of and in opposition to the reform. Many agreed that “something needed to be done” but others expressed concern regarding the “dumbing down” of the syllabus. These are just some of the preliminary findings of this study. Full results and findings will be presented at the conference. However it is clear from the findings that more needs to be done to ensure that there is coherent and uniform approaches to the teaching, learning and assessment of mathematics in the transition from second to third level education. This need is particularly heightened during periods of curriculum reform at either level.

References

Bourn, J. (2007). Staying the course: the retention of students in higher education. London: National Audit Office. Gill, O., O’Donoghue, J., Faulkner, F., & Hannigan, A. (2010). Trends in performance of science and technology students in Ireland. International Journal of Mathematical Education in Science and Technology, 41(3), 323–339. Jeffes, J., Jones, E., Wilson, M., Lamont, E., Straw, S., Wheater, R., & Dawson, A. (2013). Research into the impact of Project Maths, Slough: NFER. Lawson, D. (2003). Changes in student entry competencies 1991–2001. Teaching Mathematics and its Applications, 22(4), 171–175. Lawson, D., Croft, T., & Waller, D. (2012). Mathematics support past, present and future. Innovation, Practice and Research in Engineering Education. Retrieved on 14/08/2015 from http://www.academia.edu/2715773/Mathematics_support_past_present_and_future. McCoy, S. (2014). Leaving School in Ireland: a longitudinal study of post school transitions. Dublin: ESRI. Rylands, L., & Coady, C. (2009). Performance of students with weak mathematics in first-year mathematics and science. International Journal of Mathematical Education in Science and Technology, 40 (6),741–753. Leaving Cert: higher maths paper 1 ‘easiest on record’ (2015, June 24). The Irish Times. Retrieved on 21/10/2015 from http://www.irishtimes.com/news/education/leaving-cert-higher-maths-paper-1-easiest-on-record-1.2240566 Treacy, P. & Faulkner, F. (2015). Trends in basic mathematical competencies of beginning undergraduates in Ireland, 2003–2013, International Journal of Mathematical Education in Science and Technology, DOI: 10.1080/0020739X.2015.1050707.

Author Information

Mark Prendergast (presenting / submitting)
Trinity College Dublin, Ireland
Fiona Faulkner (presenting)
Dublin Institute of Technology
Hospitality and Tourism
Dublin
Dublin Institute of Technology, Ireland
Dublin Institute of Technology, Ireland

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