Identity as a Teacher of Numeracy: One teacher’s story
Author(s):
Anne Bennison (presenting / submitting)
Conference:
ECER 2014
Format:
Paper

Session Information

ERG SES D 11, Identity and Education

Paper Session

Time:
2014-09-01
13:30-15:00
Room:
FPCEUP - 250
Chair:
Meinert Arnd Meyer

Contribution

Numeracy, sometimes called mathematical or quantitative literacy, includes the disposition to be confident and willing to use mathematical knowledge and appropriate tools in a given context (Goos, 2007). These attributes are important for individuals and countries in an increasingly globalised world (OECD & Statistics Canada, 2011). However, results from the OECD’s PISA 2012 assessment of mathematical literacy indicate that 23% of students from participating countries did not reach internationally accepted baseline levels of proficiency (OECD, 2013). As numeracy is more than mathematical skills, numeracy capabilities need to be developed in different contexts (Steen, 2001). For school students this means in all school subjects. If such an across the curriculum approach is to be successful, teachers need to see themselves, (i.e., have an identity) as a teacher of numeracy. In Australia, there is evidence to suggest that for many beginning secondary teachers this is not the case (Milton, Rohl, & House, 2007). While a similar study does not appear to have been conducted with practicing teachers, this result suggests a need for in-service professional development to assist teachers from all disciplines to develop a strong identity as a teacher of numeracy. To do this it is first necessary to have a better understanding of this construct.

Identities are complex and context dependent (Wenger, 1998). While there has been an increasing amount of research on teacher identity in the last decade, there does not appear to have been any research on teacher identity in the context of teachers fostering the development students’ numeracy capabilities. Drawing on the literature of teacher identity, we developed a conceptual framework for identity as a teacher of numeracy (Bennison & Goos, 2013b). This framework focuses on those characteristics thought to be most relevant for a teacher promoting students’ numeracy capabilities. Therefore, it overcomes some of the difficulties associated with investigating teacher identity (Enyedy, Goldberg, & Welsh, 2005) because it is comprehensive for this particular context yet still amenable to empirical studies. The framework is arranged around four interconnected domains, a knowledge domain, an affective domain, a social domain and a life history domain.

As the framework brings together both cognitive and social elements it lends itself to analysis from a sociocultural perspective. The focus of the study reported on here is teacher learning and development, therefore the approach taken by (Goos, 2005) that used an adaptation of Valsiner’s (1997) zone theory is an appropriate theoretical framework. This approach involves mapping the characteristics that constitute the four domains of influence onto a teacher’s Zone of Proximal Development (ZPD), Zone of Free Movement (ZFM), and Zone of Promoted Action (ZPA) (see Bennison & Goos, 2013a). The ZPD includes mathematical content knowledge, pedagogical content knowledge, and curriculum knowledge as well as beliefs and confidence related to numeracy. Support (or otherwise) from colleagues and administrators, curriculum requirements, and characteristics of students are included in the ZFM. Participation in professional development and research projects as well as interactions with colleagues contributes to the ZPA.

This paper presents some initial findings from a two-year study that aims to develop an understanding of identity as a teacher of numeracy. The purpose of the paper is to extend previous research that has developed a conceptual framework (Bennison & Goos, 2013b) and suggested that an adaptation of Valsiner’s (1997) zone theory could be used as a theoretical framework (Bennison & Goos, 2013a) for the study of this construct. Specifically this paper addresses the question of how identity as a teacher of numeracy can be described in terms a teacher’s ZPD, ZFM and ZPA.

Method

The research reported on here is part of a two-year study (2013 - 2014) being conducted in Australia. While the study is non-interventionist, the eight teachers that were recruited for the study had previously agreed to participate in a larger research project (hereafter referred to as the Numeracy Project) that is investigating the potential of a professional development intervention based on Goos’s (2007) numeracy model. These teachers have different disciplinary backgrounds and levels of experience and come from two schools, one metropolitan and one regional. The focus of this paper is Michelle, a mid-career history teacher from the metropolitan school. In 2013 Michelle was visited twice in her school. During these visits at least two lessons were observed and she was interviewed about the tasks she used, student learning, and her own learning. She also participated in a scoping interview that asked her about her background, beliefs about numeracy, school context, and the opportunities she has had to learn about supporting her students' numeracy development through the subjects she teaches. All interviews were semi-structured to allow for follow-up questions, recorded, and transcribed for later analysis. Classroom observations focussed on the tasks used and how they provided opportunities for students to develop the numeracy capabilities in Goos’s (2007) numeracy model. These tasks, as well as Michelle’s personal conception of numeracy, were described in terms of this model as has been done previously by Goos and colleagues (e.g., Goos, Geiger, & Dole, 2011). Information from these data collection events was analysed by mapping it onto Michelle’s ZPD, ZFM, and ZPA. For example, information provided by Michelle during the scoping interview contributes to all three zones. Details of her pre-service education are included in her ZPD as this gives some information about her MCK and PCK. Comments about colleagues contribute to her ZFM or ZPA depending on the nature of the comment. For example, remarks about negative attitudes held by colleagues towards numeracy across the curriculum would be part of her ZFM while mentoring from colleagues would be part of her ZPA. Also contributing to this latter zone would be information about her participation in numeracy-related professional development, such as the Numeracy Project. Drawing on this analysis, a preliminary case study of Michelle was developed that includes a description of her identity as a teacher of numeracy in terms of her ZPD, ZFM, and ZPA.

Expected Outcomes

Michelle's potential for developing her identity as a teacher of numeracy is supported to some extent by her beliefs about numeracy and includes MCK that is appropriate for the mathematics that students are likely to encounter while studying history (ZPD). However, she may lack the PCK to be able to design appropriate learning activities because of limited opportunities to learn how to do this in the past, something that may be addressed through her participation in the Numeracy Project (ZPA). Her ability to implement the approaches promoted by this project may be influenced by the views of her colleagues who see numeracy as the domain of the mathematics department (ZFM). These findings suggest that one way of supporting Michelle to develop a strong identity as a teacher of numeracy would be to promote growth in her understanding of how numeracy can support learning in history. This would enable her to be better able to justify having a numeracy focus in history lessons to her colleagues. This paper presents some initial findings about one of the teachers participating in a two-year study that aims to develop an understanding of identity as a teacher of numeracy. Further work is needed to develop this case study and those of the other teachers participating in the study. Identification of similarities and differences through cross-case analysis will assist in designing professional development that supports teachers from all disciplines in promoting growth in the numeracy capabilities of their students through the subjects they teach. If teachers have enhanced capacity to do this they will be better able to prepare students for the opportunities and demands of life beyond school.

References

Bennison, A., & Goos, M. (2013a, December). Exploring Numeracy Teacher Identity: An Adaptation of Valsiner’s Zone Theory. Paper presented at the annual conference of the Australian Association for Research in Education, Adelaide. Bennison, A., & Goos, M. (2013b). Teacher identity and numeracy: Developing an analytic lens for understanding numeracy teacher identity. In V. Steinle, L. Ball & C. Bardini (Eds.), Mathematics Education: Yesterday, today and tomorrow (Proceedings of the 36th annual conference of the Mathematics Education Research Group of Australasia, Vol. 1, pp. 90-97). Melbourne: MERGA. Enyedy, N., Goldberg, J., & Welsh, K. M. (2005). Complex dilemmas of identity and practice. Science Education, 90, 68-93. doi: 10.1002/sce.20096 Goos, M. (2005). A sociocultural analysis of the development of pre-service and beginning teachers’ pedagogical identities as users of technology. Journal of Mathematics Teacher Education, 8, 35-59. doi: 10.1007/s10857-005-0457-0 Goos, M. (2007, September). New tools, new learners … new numeracies? Keynote address delivered at the South Australian Literacy and Numeracy Expo. Adelaide. Goos, M., Geiger, V., & Dole, S. (2011). Teachers' personal conceptions of numeracy. In B. Ubuz (Ed.), Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 2, pp. 457-464). Ankara, Turkey: PME. Milton, M., Rohl, M., & House, H. (2007). Secondary beginning teachers preparedness to teach literacy and numeracy: A survey. Australian Journal of Teacher Education, 32(2), 1-20. Organisation for Economic Co-operation and Development (OECD). (2013). PISA 2012 Results: What students know and can do - Student performance in mathematics, reading and science (Volume 1). PISA, OECD Publishing. doi: 10.1787/9789264201118-en. Organisation for Economic Co-operation and Development (OECD), & Statistics Canada. (2011). Literacy for life: Further results from the Adult Literacy and Life Skills Survey. OECD Publishing. doi: 9789264128859-en Steen, L. A. (2001). The case for quantitative literacy. In L. A. Steen (Ed.), Mathematics and democracy: The case for quantitative literacy (pp. 1-22). Princeton, N.J.: National Council on Education and the Disciplines. Valsiner, J. (1997). Culture and the development of children's action: A theory for human development (2nd ed.). New York: John Wiley & Sons. Wenger, E. (1998). Communities of practice: Learning, meaning and identity. Cambridge: Cambridge University Press.

Author Information

Anne Bennison (presenting / submitting)
The University of Queensland
Brisbane

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