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Grouping Practices in New Zealand Mathematics Classrooms: Where Are We at and Where Should We Be?

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Abstract

The practice of grouping mathematics students by perceived levels of attainment, commonly referred to by teachers as ability grouping, is a contentious and long-standing topic of debate in education. Responses from a survey of 102 mathematics support teachers affirm the widespread use of ability grouping within New Zealand primary school mathematics classroom. This contrasts recent literature that suggest changes towards more flexible heterogeneous grouping practices aligned with collaborative problem-solving learning environments will better support equitable and productive learning opportunities. In this paper, we explore teachers’ levels of satisfaction with current grouping practices, with a view to understanding the potential for changes. The mathematics support teachers indicate that postgraduate study, experimentation within their own classrooms, and success working with problem-solving group tasks with struggling students have all served to prompt their rethinking of grouping practices. However, responses also point to teachers’ uncertainty around change, the desire for extended professional learning support and exemplars of alternative practices, and the importance of whole-school leadership within a change process. It is clear that multi-levels of influence will be needed to disrupt embedded practices of ability grouping that currently serve to exclude and marginalise groups of disadvantage groups of students.

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References

  • Alton-Lee, A. (2014). Using educational research as a resource for continuous improvement in education: The best evidence syntheses. In J. Kincheloe & S. Steinberg (Eds.), A companion to research in education (pp. 209–213). New York: Springer.

    Chapter  Google Scholar 

  • Alton-Lee, A., Hunter, R., Sinnema, C., & Pulegatoa-Diggins, C. (2011). BES Exemplar1: Developing communities of mathematical inquiry: Retrieved from http://www.educationcounts.govt.nz/goto/BES.

  • Anthony, G. (1996). When mathematics students fail to use appropriate learning strategies. Mathematics Education Research Journal, 8(1), 23–37.

    Article  Google Scholar 

  • Anthony, G., Hunter, J., & Hunter, R. (2015a). Prospective teachers’ development of adaptive expertise. Teaching and Teacher Education, 49, 108–117.

    Article  Google Scholar 

  • Anthony, G., Hunter, R., & Hunter, J. (2016). Whither ability grouping: Changing the object of groupwork. In B. White, M. Chinnappan, & S. Trenholm (Eds.), Opening up mathematics research. Proceedings of the 38th annual conference of the Mathematics Education Research Group of Australasia (pp. 116–123). Adelaide: MERGA.

    Google Scholar 

  • Anthony, G., Hunter, R., Hunter, J., & Duncan, S. (2015b). How ambitious is “ambitious mathematics teaching”? Set: Research Information for Teachers, 2, 45.

    Article  Google Scholar 

  • Anthony, G., Rawlins, P., Riley, T., & Winsley, J. (2002). Accelerated learning in New Zealand secondary school mathematics. Australian Journal of Gifted Education, 11(2), 11–17.

    Google Scholar 

  • Ball, D. L., & Forzani, F. M. (2011). Building a common core for learning to teach and connecting professional learning to practice. American Educator, 35(2), 17–21.

    Google Scholar 

  • Bartholomew, H. (2003). Ability groups and the construction of different types of learner in mathematics classes. In L. Bragg, C. Campbell, G. Herbert, & J. Mousley (Eds.), Mathematics education research: Innovation, networking, opportunity. Proceedings of the 26th annual conference of the Mathematics Education group of Australasia (pp. 128–135). Sydney: MERGA.

  • Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning. Mahwah: Lawrence Erlbaum.

    Google Scholar 

  • Boaler, J. (2008). Promoting ‘relational equity’ and high mathematics achievement through an innovative mixed-ability approach. British Educational Research Journal, 34(2), 167–194.

    Article  Google Scholar 

  • Boaler, J. (2012). From psychological imprisonment to intellectual freedomThe different roles that school mathematics can take in student’s lives. Paper presented at the 12th International Congress on Mathematics Education Korea.

  • Boaler, J. (2014). Ability grouping in mathematics classrooms. Encyclopaedia of Mathematics Education, 1–5.

  • Boaler, J. (2015). The elephant in the room. London: Souvenir Press.

    Google Scholar 

  • Boaler, J., & Staples, M. (2008). Creating mathematical futures through an equitable teaching approach: The case of Railside school. Teachers College Record, 110(3), 608–645.

    Google Scholar 

  • Bracey, G. W. (2003). RESEARCH: Tracking, by accident and by design. Phi Delta Kappan, 85(4), 332.

    Article  Google Scholar 

  • Burris, C. C., Heubert, J. P., & Levin, H. M. (2006). Accelerating mathematics achievement using heterogeneous grouping. American Educational Research Journal, 43(1), 137–154.

    Article  Google Scholar 

  • Chamberlin, M., & Caygill, R. (2012). Key finding from New Zealand’s participation in the Progress in International Reading Literacy Study (PIRLS) and Trends in International Mathematics and Science Study (TIMSS) in 2010/11. Wellington: Ministry of Education.

    Google Scholar 

  • Civil, M., & Hunter, R. (2015). Participation of non-dominant students in argumentation in the mathematics classroom. Intercultural Education, 26(4), 296–312.

    Article  Google Scholar 

  • Cohen, E. (1994). Designing groupwork: Strategies for the heterogeneous classroom. New York: Teachers College.

    Google Scholar 

  • Education Review Office (ERO). (2013). Mathematics in year 4 to 8: Developing a responsive curriculum. Wellington: New Zealand Government.

    Google Scholar 

  • Elley, W. (1984). To stream or not to stream. Set: Research Information for Teachers, 2, 1–10.

    Google Scholar 

  • Engeström, Y. (1987). Learning by expanding: An activity-theoretical approach to developmental research. Helsinki: Orienta-Konsultit.

    Google Scholar 

  • Engeström, Y. (2001). Expansive learning at work: Towards an activity theoretical reconceptualization. Journal of Education and Work, 14(1), 133–156.

    Article  Google Scholar 

  • Fisher, H. (2014). ‘It would help if the teacher helps you a bit more…instead of going to the brainiest who don’t need a lot of help’: Exploring the perspectives of dissatisfied girls on the periphery of primary classroom life. British Educational Research Journal, 40(1), 150–169.

    Article  Google Scholar 

  • Forgasz, H. (2010). Streaming for mathematics in years 7–10 in Victoria: An issue of equity? Mathematics Education Research Journal, 22(1), 57–90.

    Article  Google Scholar 

  • Francis, B., Archer, L., Hodgen, J., Pepper, D., Taylor, B., & Travers, M. (2015). Exploring the relative lack of impact of research on ‘ability’ grouping in England: A discourse analytic account. Cambridge Journal of Education 1–17.

  • Friedrich, A., Flunger, B., Nagengast, B., Jonkmann, K., & Trautwein, U. (2015). Pygmalion effects in the classroom: Teacher expectancy effects on students’ math achievement. Contemporary Educational Psychology, 41, 1–12.

    Article  Google Scholar 

  • Golds, R. (2014). Cross-grouping in mathematics. (Masters Thesis). Auckland University of Technology: Auckland.

  • Haenga, L. (2015). Parent engagement in mathematics education (Masters Thesis). Massey University: Palmerston North.

  • Hand, V., & Gresalfi, M. (2015). The joint accomplishment of identity. Educational Psychologist, 50(3), 190–203.

    Article  Google Scholar 

  • Hattie, J. (2009). Visible learning: A synthesis of over 800 meta-analyses relating to achievement. London: Routledge.

    Google Scholar 

  • Hodgen, J., & Marks, R. (2009). Mathematical ‘ability’ and identity: A sociocultural perspective on assessment and selection. In L. Black, H. Mendick, & Y. Solomon (Eds.), Mathematical relationships in education (pp. 31–42). New York: Routledge.

  • Hornby, G., & Witte, C. (2014). Ability grouping in New Zealand high schools: Are practices evidence-based? Preventing School Failure: Alternative Education for Children and Youth, 58(2), 90–95.

    Google Scholar 

  • Houssart, J. (2002). Simplification and repetition of mathematical tasks: a recipe for success or failure? The Journal of Mathematical Behavior, 21(2), 191–202.

    Article  Google Scholar 

  • Hunter, R. (2008). Facilitating communities of mathematical inquiry. In M. Goos, R. Brown, & K. Makar (Eds.), Navigating currents and charting directions. Proceedings of the 31st annual Mathematics Education Research Group of Australasia conference (pp. 31–39). Brisbane: MERGA.

  • Hunter, R., & Anthony, G. (2011). Forging mathematical relationships in inquiry-based classrooms with Pasifika students. Journal of Urban Mathematics Education, 4(1), 98–119.

    Google Scholar 

  • Hunter, R., Hunter, J., Bills, T., & Thompson, Z. (2016). Learning by learning: Dynamic mentoring to support culturally responsive mathematical inquiry communities. In B. White, M. Chinnappan, & S. Trenholm (Eds.), Opening up mathematics research. Proceedings of the 38th annual conference of the Mathematics Education Research Group of Australasia (pp. 59–73). Adelaide: MERGA.

  • Ireson, J., Hallam, S., & Hurley, C. (2005). What are the effects of ability grouping on GCSE attainment? British Educational Research Journal, 31(4), 443–458.

    Article  Google Scholar 

  • Jorgensen, R., Gates, P., & Roper, V. (2014). Structural exclusion through school mathematics: Using Bourdieu to understand mathematics as a social practice. Educational Studies in Mathematics, 87(2), 221–239.

    Article  Google Scholar 

  • Kaur, B. (2014). Evolution of Singapore’s school mathematics curriculum. In J. Anderson, M. Cavanagh, & A. Prescott (Eds.), Curriculum in focus: Research guided practice. Proceedings of the 36th annual conference of the Mathematics Education Research Group of Australasia (pp. 24–36). Sydney: MERGA.

    Google Scholar 

  • Lambert, R. (2015). Constructing and resisting disability in mathematics classrooms: a case study exploring the impact of different pedagogies. Educational Studies in Mathematics, 89(1), 1–18.

    Article  Google Scholar 

  • Liem, G. A. D., Marsh, H. W., Martin, A. J., McInerney, D. M., & Yeung, A. S. (2013). The big-fish-little-pond effect and a national policy of within-school ability streaming alternative frames of reference. American Educational Research Journal, 50(2), 326–370.

    Article  Google Scholar 

  • Marks, R. (2012). How do pupils experience setting in primary mathematics? Mathematics Teaching, 230, 5–8.

    Google Scholar 

  • Marks, R. (2013). ‘The blue table means you don’t have a clue’: The persistence of fixed-ability thinking and practices in primary mathematics in English schools. FORUM, 55(1), 31–44.

    Article  Google Scholar 

  • Marks, R. (2014). Educational triage and ability-grouping in primary mathematics: A case-study of the impacts on low-attaining pupils. Research in Mathematics Education, 16(1), 38–53.

    Article  Google Scholar 

  • Miles, M., & Huberman, A. (1994). Qualitative data analysis. Thousand Oaks: Sage.

    Google Scholar 

  • Ministry of Education. (2008). Numeracy professional development projects 2008, Book 3: Getting started. Wellington: Learning Media.

    Google Scholar 

  • Ministry of Education. (2015). Mathematics Support Teacher fact sheet (retrieved from http://nzcurriculum.tki.org.nz/System-of-support-incl.-PLD/School-initiated-supports/Programme-for-Students-PfS).

  • Mueller, M., Yankelewitz, D., & Maher, C. (2014). Teachers promoting student mathematical reasoning. Investigations in Mathematics Learning, 7(2), 1–20.

    Google Scholar 

  • Nunes, T., Bryant, P., T, Sylva, K., & Barros, R. (2009). Development of maths capabilities and confidence in primary school (No. Research Report DCSF-RR118). London: Department for Children, Schools and Families.

  • O’Neill, J., & Snook, I. (2015). What will public education look like in the future and why? New Zealand Journal of Educational Studies, 50(2), 195–209.

    Article  Google Scholar 

  • Ramberg, J. (2014). The extent of ability grouping in Swedish upper secondary schools: A national survey. International Journal of Inclusive Education. Retrieved from http://www.tandfonline.com/loi/tied20. doi:10.1080/13603226.2014.929187.

  • Rattan, A., Good, C., & Dweck, C. S. (2012). “It’s ok: Not everyone can be good at maths”: Instructors with an entity theory comfort (and demotivate) students. Journal of Experimental Social Psychology. Retrieved from http://www.sciencedirect.com/science/article/pii/S0022103111003027

  • Sahlberg, P. (2011). The professional educator: Lessons from Finland. American Educator, 35(2), 34–38.

    Google Scholar 

  • Schleicher, A. (2014). Equity, excellence and inclusiveness in education: Policy lessons from around the world. Report prepared for the fourth international summit on the teaching profession. Paris: OECD.

  • Shinno, Y., Kinone, C., & Baba, T. (2014). Exploring ‘what Japanese students find important in mathematics learning’ based on the third wave project. In C. Nicol, S. Oesterle, P. Liljedahl, & D. Allan (Eds.), Proceedings of the Joint meeting of PME 38 and PME-NA 36 (Vol. 5, pp. 169–176). Vancouver, Canada: PME.

  • Slavin, R. E. (1990). Achievement effects on ability grouping in secondary schools: A best-evidence synthesis. Review of Educational Research, 60(3), 471–499.

    Article  Google Scholar 

  • Stigler, J., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving education in the classroom. New York: The Free Press.

    Google Scholar 

  • Stylianides, G. J., & Stylianides, A. J. (2014). The role of instructional engineering in reducing the uncertainties of ambitious teaching. Cognition and Instruction, 32(4), 374–415.

    Article  Google Scholar 

  • Sullivan, P. (2015). Maximising opportunities in mathematics for all students: Addressing within-school and within-class differences. In A. Bishop, et al. (Eds.), Diversity in mathematics education (pp. 239–253). New York: Springer.

    Google Scholar 

  • Thrupp, M., & White, M. (2013). Research, analysis and insight into National Standards (RAINS) Project Final Report: National standards and the damage done. Hamilton: Wilf Malcolm Institute of Educational Research.

    Google Scholar 

  • Turner, H., Rubie-Davies, C. M., & Webber, M. (2015). Teacher expectations, ethnicity and the achievement gap. New Zealand Journal of Educational Studies, 50(1), 55–69.

    Article  Google Scholar 

  • University of Otago & NZCER. (2014). National monitoring study of student achievement, mathematics and statistics 2013. Wellington: Ministry of Education.

    Google Scholar 

  • Walls, F. (2002). Sociomathematical worlds: The social world of children’s mathematical learning in the middle primary years. (Doctoral thesis), Victoria University of Wellington, Wellington, NZ.

  • Walls, F. (2004). The ‘mathematically able child’ in primary mathematics education: A discursive approach. In I. Putt, R. Faragher & M. McLean (Eds.), Mathematics education for the third millennium, towards 2010. Proceedings of the 27th Annual Conference of Mathematics Education Research Group of Australasia (pp. 549–556). Townsville: MERGA.

    Google Scholar 

  • Wilkinson, S. D., & Penney, D. (2014). The effects of setting on classroom teaching and student learning in mainstream mathematics, English and science lessons: A critical review of the literature in England. Educational Review, 66(4), 411–427.

    Article  Google Scholar 

  • Wilkinson, I., & Townsend, M. (2000). From rata to rimu: Grouping for instruction in best practice New Zealand classrooms. The Reading Teacher, 53(6), 460–471.

    Google Scholar 

  • Zevenbergen, R. (2005). The construction of a mathematical habitus: Implications of ability grouping in the middle years. Journal of Curriculum Studies, 37(5), 607–619.

    Article  Google Scholar 

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Anthony, G., Hunter, R. Grouping Practices in New Zealand Mathematics Classrooms: Where Are We at and Where Should We Be?. NZ J Educ Stud 52, 73–92 (2017). https://doi.org/10.1007/s40841-016-0054-z

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