The Importance of the Social Relationship in Teaching Mathematics - An Ethical Choice to Meet Pupils' Differences
Author(s):
Ann-Louise Ljungblad (presenting / submitting)
Conference:
ECER 2012
Format:
Paper

Session Information

ERG SES F 06, Mathematics Education

Parallel paper session

Time:
2012-09-18
09:00-10:30
Room:
FCEE - Aula 2.6
Chair:
Aidan Seery

Contribution

 

Huge economical investments have been done in Sweden to develop math education; still TIMSS (2007) shows deteriorate result compared to earlier studies. Furthermore, PISA (2009) shows that the part of low performing students significantly has increased. However, a powerful influence on pupils learning result that has been found lately is trustful relations between the pupils and the teacher (Hattie, 2009) – a professional competence teachers probably are more or less incline to develop. I have met some teachers who manage to meet pupils' differences in teaching, and I am fascinated by their social and relational professionalism. They are genuinely interested, and succeed in addressing pupils' diverse questions and experiences. They show a relational professionalism which seems to have been developed in practice since they left university. How can these social, relational and ethical dimensions of math teaching become visible and put into words for future teacher education? Today these aspects are not in focus of math teaching programs in universities, nor in the field of math education research. Referring to Aspelin & Persson (2011), I see a study which aims to reveal and improve the understanding and the importance of relation processes in education.

 

My research proposal is based on a unique selection process. The Childs Rights Convention (2007) emphasizes the child's right to education (Article 28) where the education should be aimed at developing the child's full potential in terms of personality, talents, physical and mental capacity (Article 29). It is essential to realize the child's right to be heard and respected within children's involvement in the learning process (Article 12). In this study the pupils have described to me as a researcher, some teachers who succeed in their relational work and could be of importance to study. This is an important child perspective that is seldom used in research. By following this group of teachers in practice I will focus on how they create, develop and maintain successful relational processes. Another question is if they develop a dialogue with mutual consideration of diversity, where differences and respect for the Other person (Levinas, 1969) is included? An unpredictable process in which one can never know how the Other responds in the next moment (Aspelin 2010; Ljungblad: 2010; Ljungblad & Lennerstad, 2011). How do these teachers handle diversity in education – as a disturbance from the outside or not? This is an interesting research question within math culture when all children learn mathematics, and presents an opportunity where new professional knowledge can be developed.

 

This study intends to build upon the following approaches;

        Pedagogical relational work  (Mead, 1934; Buber, 1994; Aspelin, 2010)

        Socio-cultural and historical theory  (Vygotsky, 1978; Säljö, 2000)

        Power, Ethics, Diversity and Differences (Arendt, 2008; Levinas, 1969; Biesta, 2006; Säfström, 2005)

 

“In the beginning is the relationship” said Buber (1994), which is an unusual theoretical approach within teaching mathematics. Linell (2009) refers to Salgado & Ferreira (2005) that the dialogist world-view would emphasize inter-subjectivity rather than subjectivity, and it would endorse ontologies of dynamic processes and relations.

Method

For one year I will follow four math teachers, spending 6 days in each classroom doing observations and video-filming math lessons. After school time we will study film clips from the lesson and discuss situations in stimulated recall. We will focus on two kinds of processes, though it is reasonable to believe that teachers act different in diverse situations. One is called flow – where the pupil and the teacher understand each other, the other is called dilemma – where problems occur for one or both partners. From the 5 themes we will discuss their social relational work; seeing, doing, questioning, thinking, and listening. For example, do they listen differently to the pupils in flow or dilemma situations? Do they use different kinds of questions when a child does not understand? What challenges are presented and how do the teachers reflect upon different issues? Obviously these teachers manage in their relational work according to the pupils, but they do not seem to be aware of it. Can stimulated recall and writing a diary about dilemmas and flow situations according to these five themes support the development of a professional language about how this relational work is done?

Expected Outcomes

Is the social relational work more developed in other subjects compared to relational processes within math education? For example, 1+1=2 which might give a smaller space for negotiations among different ways of seeing what is to be learnt and can be hard for pupils to understand. Teachers in this study work hard with their relational work according to the pupils. And the math culture in Sweden, as well as in many other countries, is a huge problem field in the educational system. My hope is that this study can generate and visualize a primary qualitative professionalism: how relations, pluralism, differences and democracy can be united. This study is important given the current situation of today's education in mathematics and it is also highly relevant for general school improvement in other school subjects and within the field of inclusion. The possibilities in this research proposal are broad, diverse and innovative, stemming from children's opportunities for a humane education that truly meet and understand diversity and differences.

References

Arendt, H. (2008). Om våld. Göteborg: Daidalos. Aspelin, J. (2010). Sociala relationer och pedagogiskt ansvar. Malmö: Gleerups. Aspelin, J & Persson, S. (2011). Om relationell pedagogik. Malmö: Gleerups. Biesta, G. (2006). Bortom lärandet. Lund: Studentlitteratur. Buber, M. (1994). Jag och Du. Ludvika: Dualis förlag. Hattie, J. A. C. (2009). Visible Learning: a synthesis of over 800 meta-analyses relating to achievement. London, New York: Routledge. Levinas, E. (1969). Totality and Infinity: An Essay on Exteriority. Pittsburgh: Duquesne University Press. Linell, P. (2009). Rethinking Language, Mind, and World Dialogically. Interactional and Contextual Theories of Human Sense-making. Charlotte, NC: IAP. Ljungblad, A-L. (2010). Challenges in teaching mathematics – Becoming special for all. Paper presented at the 5th Nordic research Conference on Special Needs Education in Mathematics. University of Iceland: School of Education. http://stofnanir.hi.is/norsma/sites/files/norsma/imagecache/Ljungblad%20.pdf Ljungblad, A-L. & Lennerstad, H. (2011). Matematik och respekt. Matematikens mångfald och lyssnandets konst. Stockholm: Liber. Mead, G, H. (1934). Medvetandet, jaget och samhället. Lund: Argos. Office of the United Nations High Commissioner for Human Rights & Save the Children, Sweden. (2007). Legislative History of the Convention on the Rights of the Child, volume 1 and 2. Geneve: United Nations. Salgado, J. & Ferreira, T. (2005). Dialogical relationships as triads: Implications for the dialogical self theory. In p. Oles & H. Hermans (Eds.), The Dialogical self: Theory and research (pp. 141-152). Lublin: Wydawnictwo KUL. Skolverket (2008), Rapport 323. TIMSS 2007: Svenska grundskoleelevers kunskaper i matematik och naturvetenskap i ett internationellt perspektiv. www.skolverket.se Skolverket. (2009). PISA, Programme for International Student Assessment. www.skolverket.se Säfström, C-A. (2005). Skillnadens pedagogik. Lund: Studentlitteratur. Säljö, R. (2000). Lärande i praktiken. Ett sociokulturellt perspektiv. Stockholm: Prisma. Vygotsky. L. S. (1978). Mind in society. The development of higher psychological processes. Cambridge, MA: Harvard University Press.

Author Information

Ann-Louise Ljungblad (presenting / submitting)
Gothenburg university
department for Education and Specialeducation
Gothenburg

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