Transitions in Mathematics Education: Investigating students’ sense of belonging in post-primary and university mathematical learning
Author(s):
Conference:
ECER 2016
Format:
Paper

Session Information

24 SES 02, Insights in Mathematics Educational Research

Paper Session

Time:
2016-08-23
15:15-16:45
Room:
Vet-Theatre 114
Chair:
Man Ching Esther Chan

Contribution

A sense of belonging to mathematics has been established as an important factor in predicting students’ further involvement in mathematics, particularly at the undergraduate level (Bartholomew, Darragh, Ell, & Saunders, 2011; Good, Rattan, & Dweck, 2012). This ‘sense of belonging to mathematics’ relates to whether students feel they fit in, or are members of,  a mathematical academic community, or if they feel valued and accepted by members of that community (Good et al. 2012).  It can also relate to whether students are experiencing learning of mathematics as “legitimate peripheral participation” (Lave & Wenger, 1991, p34) in that community. A student’s sense of belonging can be adversely affected through messages, perceived or otherwise, received from the environment. This has been especially highlighted in mathematics where students’ perceptions of messages they have received on the nature of mathematical ability as a ‘fixed’ entity and of gender stereotyping have affected their desire to pursue mathematics (Anderson, Valero, & Meaney, 2015; Good et al., 2012; Rattan, Good, & Dweck, 2012). 

Students perceive more positive messages around mathematics in classrooms which foster a classroom community (Goos, 2004) and which encourage constructivist approaches to learning where there are varied opportunities for students to communicate their mathematical thinking, where the teacher acts as a facilitator of learning, and where students are encouraged to solve unfamiliar problems (e.g. Boaler, 1998; Verschaffel et al., 1999) (Good et al., 2012).  Prior to a national curriculum reform in post-primary mathematics in Ireland, research shows that the majority of Irish post-primary classrooms did not subscribe to such constructivist approaches to teaching and learning mathematics (Lyons, Lynch, Close, Sheerin, & Boland, 2003). However, despite the introduction of the new mathematics curriculum encouraging reform of classroom practices, teaching and learning of mathematics in many post-primary classrooms remains teacher-centred (Jeffes et al., 2013).

A recent national report on why prospective Irish undergraduate students avoid choosing mathematics or science based undergraduate courses found a fear of “not fitting in” with classmates (i.e. a sense of belonging) ranked the number one reason why students opted out of these pathways of study (Kennedy & O'Dwyer-Duggan, 2014). In this research, we focus on students’ sense of belonging to mathematics in their transition from post-primary to university learners of mathematics. Transitions are critical times for development of and changes to students’ sense of belonging and mathematical identity and, at a time when low numbers of undergraduate students studying mathematics remains a concern (Bartholomew et al., 2011), it is important to investigate factors which may impact a students’ decision to continue pursuing their mathematical studies. Students in this study are all enrolled on a Science degree programme at a university in Ireland and, although their first year subject choice will enable them to pursue a mathematics (or mathematics-related) degree, they do not have to choose their major until the end of second year. These students therefore have the choice to opt out of further study of mathematics afterfirst or second year.

In this research we aim to:

  • Identify the ways the transition from post-primary mathematics to university mathematics affects high-achieving students’ sense of belonging to mathematics.
  • Determine whether high-achieving students perceive messages of an entity theory and/or gender stereotyping coming from their environment at post-primary and university level, and whether the transition has impacted on these perceptions.
  • Identify environmental factors that influence high-achieving students’ sense of belonging to maths at post-primary and university level
  • Identify ways in which high-achieving students believe that messages about the nature of maths ability and gender stereotyping have been/are communicated at post-primary level.

Method

Participants in this study were all first year undergraduate students enrolled on a Science degree programme at a large, research-intensive university in Ireland. On this programme, students have the flexibility to choose their subjects in first year, and do not commit to their major until the end of second year. Forty first year students registered to a module called ‘Teaching & Learning Mathematics’ were invited to participate in this research. This module is optional for all students on the science programme, but is compulsory for students who wish to become post-primary teachers of mathematics. The majority of students taking this module were also taking advanced mathematics modules as part of their first year undergraduate studies. Of the 40 students registered in the module, 34 (20 female and 14 male) participated in this research. Participants completed a questionnaire which incorporated both qualitative and quantitative responses and which investigated students’ sense of belonging to (Dweck, 1999; Good et al., 2012) and attitudes towards mathematics (Fennema & Sherman, 1976). In addition to the questionnaire, students were invited to take part in individual interviews which would further investigate their sense of belonging to mathematics at post-primary level and during the first year of their university education. Seven students (three female and three male) volunteered to participate in one-to-one interviews, which averaged 18 minutes in length. Initial statistical analysis of the quantitative data has shown that, for the majority of students, there is a negative shift in their sense of belonging to mathematics from post-primary to university. For the majority of students who would have originally perceived themselves as ‘good’ at mathematics, their sense of belonging (and confidence in their mathematical ability) is negatively affected in their transition to third level (i.e. university) education. Qualitative analysis of the open-ended survey questions and the student interviews is underway and a framework of mathematical messages (Boaler, 2015), as related to students’ sense of belonging to mathematics (Dweck, 1999), will be employed on this data and related to the quantitative findings.

Expected Outcomes

This study further contributes to the literature in generating qualitative data, in parallel with quantitative data, in further investigating students’ own perceptions of their sense of belonging to mathematics during their transition from post-primary to third level education. Correlating with Good et al.’s (2012) research from a US university, initial quantitative analysis of the data has shown that there is a decrease in students’ sense of belonging in their early experiences of learning mathematics at third level. Furthermore, the majority of students participating in this research have felt less confident in their mathematical ability in the transition from post-primary to university education. Initial analysis of qualitative data suggests that this decrease in sense of belonging is due, in part, to the fact that students do not experience any sense of ‘community’ (Lave & Wenger, 1991) in their mathematics modules, likely due to the large class sizes and resulting difficulties in identifying peers to work with. Students have also identified their “anonymity” and wanting to “fade into the background” as mathematics students in university as contrasting with their learning of mathematics at post-primary level. There is some evidence of reform of classroom practices due to the revised national curriculum (e.g. Ni Shuilleabhain, 2014) and initial analysis of the data suggests that students who have experienced constructivist approaches in their post-primary mathematics learning, as evidenced in their qualitative questionnaire responses and individual interviews, demonstrate a higher sense of belonging to mathematics at post-primary level than their peers who have experienced a traditional approach to teaching and learning. Further analysis is required to identify how these students are affected in the transition from university education and will be contrasted with those students who have defined a lower sense of belonging to mathematics on their entrance to university.

References

Anderson, A., Valero, P., & Meaney, T. (2015). "I am [not always] a maths hater": Shifting students' identity narratives in context. Educational Studies in Mathematics, 90, 143-161. Bartholomew, H., Darragh, L., Ell, F., & Saunders, J. (2011). 'I'm a natural and I do it for love!": exploring students' accounts of studying mathematics. International Journal of Mathematical Education in Science and Technology, 42(7), 915-924. Boaler, J. (1998). Open and Closed Mathematics: Student Experiences and Understandings. Journal for Research in Mathematics Education, 29(1), 41-62. Retrieved from http://www.jstor.org/stable/749717 Boaler, J. (2015). Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching. San Francisco: Jossey-Bass. Dweck, C. S. (1999). Self-Theories: Their Role in Motivation, Personality, and Development. Lillington, NC: Taylor & Francis. Fennema, E., & Sherman, J. A. (1976). Fennema-Sherman Mathematics Attitudes Scales: Instruments Designed to Measure Attitudes toward the Learning of Mathematics by Females and Males. Journal for Research in Mathematics Education, 7(5), 324-326. Good, C., Rattan, A., & Dweck, C. S. (2012). Why do women opt out? Sense of belonging and women's representation in mathematics. Journal of Personality and Social Psychology, 102(4), 700-717. Goos, M. (2004). Learning Mathematics in a Classroom Community of Inquiry. Journal for Research in Mathematics Education, 35(4), 258-291. doi:10.2307/30034810 Jeffes, J., Jones, E., Wilson, M., Lamont, E., Straw, S., Wheater, R., & Dawson, A. (2013). Final Report: Research into the impact of Project Maths on student achievement, learning and motivation. UK. Kennedy, P., & O'Dwyer-Duggan, E. (2014). SFI STEM Research. Dublin. Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. NY: Cambridge University Press. Lyons, M., Lynch, K., Close, S., Sheerin, E., & Boland, P. (2003). Inside Classrooms: The Teaching and Learning of Mathematics in Social Context. Dublin: Insitute of Public Administration. Ni Shuilleabhain, A. (2014). Lesson study and Project Maths: A Professional Development Intervention for Mathematics Teachers Engaging in a New Curriculum. In S. Pope (Ed.), 8th British Congress of Mathematics Education (pp. 255-262). Rattan, A., Good, C., & Dweck, C. S. (2012). "It's ok - Not everyone can be good at math": Instructors with an entity theory comfort (and demotivate) students. Journal of Experimental Psychology, 48, 731-737. Verschaffel, L., De Corte, E., Lasure, S., Van Vaerenbergh, G., Bogaerts, H., & Ratinckx, E. (1999). Learning to Solve Mathematical Application Problems: A Design Experiment with Fifth Graders. Mathematical Thinking and Learning, 1(3), 195-229.

Author Information

Aoibhinn Ni Shuilleabhain (presenting / submitting)
University College Dublin
School of Mathematics & Statistics
Dublin
Maria Meehan (presenting)
University College Dublin
School of Mathematics and Statistics
Dublin
University College Dublin, Ireland
University College Dublin
School of Mathematics and Statistics
Dublin

Update Modus of this Database

The current conference programme can be browsed in the conference management system (conftool) and, closer to the conference, in the conference app.
This database will be updated with the conference data after ECER. 

Search the ECER Programme

  • Search for keywords and phrases in "Text Search"
  • Restrict in which part of the abstracts to search in "Where to search"
  • Search for authors and in the respective field.
  • For planning your conference attendance, please use the conference app, which will be issued some weeks before the conference and the conference agenda provided in conftool.
  • If you are a session chair, best look up your chairing duties in the conference system (Conftool) or the app.