Pedagogical Tactfulness A fundament in inclusive mathematics education

Main Article Content

Ann-Louise Ljungblad

Abstract

Situated within the field of inclusive mathematics education, this article presents empirical research from a microethnographic study exploring teacher-student relationships. More specifically, the searchlight was aimed at how math teachers relate to their students when they teach. The classroom study is based on a rich empirical data set collected during a year of field work: video-recorded math lessons, observations and dialogues and interviews in six classes. Four math teachers participated together with 100 students from compulsory school, upper secondary school and schools for children with learning disabilities. Based on a relational perspective on teaching, Pedagogical Relational Teachership, PeRT, (Ljungblad, 2018, 2019) a microanalysis was carried out, about how the teacher’s acknowledgement to students emerged in interpersonal, face-to-face communication. Through a relational turn in mathematics education, exploring interpersonal relationships, an extended relational understanding of situated teaching was acquired. The results illuminated how teachers’ pedagogical tactfulness emerged as a pedagogical fundament in inclusive educational environment. The results also highlighted a moment of specific importance in mathematics education: at that second, when the incalculable (Biesta, 2001, 2007) emerges, the teachers refrain from assessment and, instead, listen and create a space for the students to speak with their unique voices. Over time, such a relational teachership creates trustful and respectful teacher-student relationships.

Article Details

How to Cite
Ljungblad, A.-L. (2020). Pedagogical Tactfulness: A fundament in inclusive mathematics education. Educare - Vetenskapliga Skrifter, (4), 60–87. https://doi.org/10.24834/educare.2020.4.3
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References

Abreu, G., Gorgorió, N., & Björklund, L. (2018). Diversity in Mathematics Education. In T. Dreyfus, M. Artigue, D. Potari, S. Prediger & K. Ruthven (Eds.), Developing Research in Mathematics Education. Twenty years of communication, cooperation and collaboration in Europe. (pp. 211–221). Padstow, Cornwall: Routledge.

Alrø, H., & Skovsmose, O. (2002). Dialogue and Learning in Mathematics Education. Intention, Reflection, Critique. Dordrecht: Kluwer.

Arendt, H. (1998). The Human Condition. Chicago: University of Chicago Press.

Aspelin, J. (2014). Beyond Individualised Teaching. A relational construction of pedagogical attitude. Educational Inquiry, 5(2), 233-245.

Biesta, G. (2001). Preparing for the Incalculable. Deconstruction, Justice, and the Question of Education. In G. Biesta & D. Egéa-Kuehne (Eds.), Derrida & Education. London: Routledge.

Biesta, G. (2004). Mind the Gap! Communication and the educational relation. In C. Bingham & A. Sidorkin (Eds.), No Education without Relation. New York: Peter Lang.

Biesta, G. (2007). Don’t Count Me in – Democracy, Education and the Question of Inclusion. Nordic Studies in Education/Nordisk Pedagogik, 27(1), 18-29.

Biesta, G. (2009). Good Education in an Age of Measurement. On the need to reconnect with the question of purpose in education. Educational Assessment, Evaluation & Accountability, 21(1), 33–46.

Biesta, G. (2012). No Education without Hesitation. Thinking differently about educational relations. In. C. Ruitenberg (Ed.), Philosophy of Education Yearbook, 2012, (pp. 1-13). Urbana-Champaign, IL: PES.

Bingham, C., & Sidorkin, A. (2004) (Eds.). No Education without Relation. New York: Peter Lang.

Boaler, J. (2002). Exploring the Nature of Mathematical Activity. Using theory, research and “working hypothesis” to broaden conceptions of mathematical knowing, Educational Studies in Mathematics, 51(1-2), 3-21.

Boaler, J. (2008). What’s Math Got to Do with It? How parents and teachers can help children learn to love their least favorite subject. New York: Penguin Books.

Boaler, J., & Anderson, R. (2018). Considering the Rights of Learners in Classrooms. The importance of mistakes and growth assessment practices. Democracy and Education, 26(2), Article 7.

Bronfenbrenner, U. (1979), The Ecology of Human Development, Cambridge: Harvard University Press.

Buber, M. (2011). Det Mellanmänskliga. Ludvika: Dualis.

Butterworth, B. (2005). Developmental Dyscalculia. In J. Campell (Ed.), Handbook of Mathematical Cognition. New York: Psychology Press.

Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2005). Three Partial Circuits for Number Processing. In J. Campell (Ed.), Handbook of Mathematical Cognition. New York: Psychology Press.

Derrida, J. (2003). Différance. In J. Culler (Ed.), Deconstruction. Critical Concepts in Literary and Cultural Studies, (pp. 141–166). London: Routledge.

Dowker, A. (2005). Individual Differences in Arithmetic: Implications for psychology, neuroscience and education. Hove: Psychology Press.

Ernest, P., Skovsmose, O., van Bendegem, J. P., Bicudo, M., Miarka, R., Kvasz, L., & Moeller, R. (2016). The Philosophy of Mathematics Education. Zwitzerland: Springer Open.

Fibæk Laursen, P. (2004). Den autentiska läraren. Bli en bra och effektiv undervisare – om du vill. Stockholm: Liber.

Frelin, A. (2010). Teachers’ Relational Practices and Professionality. (Doctoral Thesis). Institutionen för didaktik. Uppsala: Uppsala universitet.

Geary, D. (2004). Mathematics and Learning Disabilities. Journal of Learning Disabilities, 37(1), 4-15.

Gergen, K. (2009). Relational Being: Beyond self and community. Oxford: Oxford University Press.

Gersten, R., Clark, B., & Mazzocco, M. (2007). Historical and Contemporary Perspectives on Mathematical Learning Disabilities. In D. Berch & M. Mazzocco (Eds.), Why is Math So Hard for Some Children? The nature and origins of mathematical learning difficulties and disabilities, (pp. 7-27). Baltimore, MD: Brookes.

Gervasoni, A., & Lindenskov, L. (2011). Students with ‘Special Rights’ for Mathematics Education. In B. Atwey (Ed.), Mapping Equity and Quality in Mathematics Education, (pp. 307-323). Dordrecht: Springer.

Gifford, S. (2008). Dyscalculia: Myths and Models. Research in Mathematics Education, 8(1), 35-51.

Ginsburg, H, P. (1997). Mathematics Learning Disabilities. A view from developmental psychology. Journal of Learning Disabilities. 30(1), 20-33.

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

Lave, J. (1988). Cognition in Practice: Mind, mathematics and culture in everyday life. Cambridge: Cambridge University Press.

Lerman, S. (2000). The Social Turn in Mathematics Education Research. In J. Boaler (Ed.), Multiple Perspectives on Mathematics Teaching and Learning, (pp. 19-44). Westport, CT: Ablex.

Levinas, E. (1998). Otherwise than Being or beyond Essence. Dordrecht: Kluwer Academic.

Lewis, K., & Fisher, M. (2016). Taking Stock of 40 Years of Research on Mathematical Learning Disability. Methodological issues and future directions. Journal for Research in Mathematics Education, 47(4), 338–371.

Ljungblad, A-L. (2016a). Takt och hållning – en relationell studie om det oberäkneliga i matematikundervisningen. [Tact and Stance – a relational study about the incalculable in mathematics teaching]. Doctoral Thesis, Gothenburg Studies in Educational Sciences, 381. Göteborg: Acta Universitatis Gothoburgensis.

Ljungblad, A-L. (2016b). Matematikens grunder – kvalitativ kartläggning. Stockholm: Askunge.

Ljungblad, A-L. (2018). Relationellt lärarskap och pedagogiska möten. Lund: Studentlitteratur.

Ljungblad, A-L. (2019). Pedagogical Relational Teachership (PeRT) – a multi-relational perspective. International Journal of Inclusive Education.

https://www.tandfonline.com/doi/full/10.1080/13603116.2019.1581280

Ljungblad, A-L., & Lennerstad, H. (2011). Matematik och respekt. Matematikens mångfald och lyssnandets konst. Stockholm: Liber.

Ljungblad, A-L., & Rinne, I. (2020, accepted). Pedagogisk takt synliggör komplexiteten i läraryrkets relationella dimension. Nordisk tidsskrift for pedagogikk og kritikk.

Lunde. O. (2011). När siffrorna skapar kaos. Stockholm: Liber.

Lövlie, L. (2007). Takt, humanitet och demokrati. In Y. Boman, C. Ljunggren & M. von Wright (Eds.), Erfarenheter av pragmatism. Lund: Studentlitteratur.

Ma, L. (1999). Knowing and Teaching Elementary Mathematics. Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, New Jersey: Lawrence Erlbaum.

Magne, O. (2006). Historical Aspects on Special Education in Mathematics. Nordic Studies in Mathematics Education, 11(4), 7–35.

Maulana, R., Opdenakker, M-C., den Brok, P., & Bosker, R. (2012). Teacher-Student Interpersonal Behavior in Secondary Mathematics Classes in Indonesia. International Journal of Science & Mathematics Education, 10(1), 21–47.

Mazzocco. M. (2007). Defining and Differentiating Mathematical Learning Disabilities and Difficulties. In D. Berch & M. Mazzocco (Eds.), Why is Math So Hard for Some Children? The nature and origins of mathematical learning difficulties and disabilities (pp. 29-47). Baltimore, MD: Brookes.

Mitchell, D. (2014). What Really Works in Special and Inclusive Education: Using evidence-based teaching strategies. Abingdon, Oxon: Routledge.

Neuman, D. (2013). Att ändra arbetssätt och kultur inom den inledande aritmetikundervisningen. Nordic Studies in Mathematics Education. 18(2), 3-46.

Nordenbo, S-E., Søgaard Larsen, M., Tiftikçi, N., Wendt, E., & Østergaard, S. (2008). Teacher Competences and Pupil Achievement in Pre-School and School. A systematic review carried out for the ministry of education and research, Oslo. Copenhagen: Danish Clearinghouse for Educational Research, School of Education, University of Aarhus.

Popkewitz, T. (2009). Kosmopolitism i skolreformernas tidevarv. Vetenskap, utbildning och samhällsskapande genom konstruktioner av barnet. Stockholm: Liber.

Radford, L. (2009). Why do Gestures Matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70(3), 111-126.

Radford, L., & Roth, W-M. (2011). Intercorporeality and Ethical Commitment. An activity perspective on classroom interaction. Educational Studies in Mathematics, 77(2-3), 227-245.

Roos, H. (2019). The Meaning(s) of Inclusion in Mathematics in Student Talk. Inclusion as a topic when students talk about learning and teaching in mathematics. Doctoral Thesis. Växjö: Linnéuniversitetet.

Scherer, P., Beswick, K., DeBlois, L., Healy, L., & Moser Opitz, E. (2016). Assistance of Students with Mathematical Learning Difficulties: How can research support practice? ZDM Mathematics Education, 48(5), 633-649.

Schoenfeld, A. (2013). Classroom Observations in Theory and Practice. ZDM, 45(4), 607-621.

Schön, D. (1995). The Reflective Practitioner. How professionals think in action. Aldershot: Arena.

Secher Schmidt, M-C. (2015). Inklusionsbestraebelser i matematikundervisningen. En empirisk undersögelse af matematiklaeres klasseledelse og elevers deltagelsesstrategier i folkeskolen. Doctoral Thesis. Aarhus: Aarhus Universitet.

Secher Schmidt, M-C. (2016). Dyscalculia ≠ Maths Difficulties. An analysis of conflicting positions at a time that calls for inclusive practices, European Journal of Special Needs Education, 31(3), 407-421.

Sjöberg, L. (2015). The Construction of Mathematical Knowledge and Learning in and through Individual Education Plans. EDUCARE (1), 7-29.

Skovsmose, O. (2015). Inclusion: A contested concept. In: Anais do VI Seminário Internacional de Pesquisa em Educação Matemática. Pirenópolis: VI SIPEM.

Swanson, L. (2007). Cognitive Aspects of Math Disabilities. In D. Berch & M. Mazzocco (Eds.), Why Is Math So Hard for Some Children? Baltimore: Paul Brookes.

Säfström, C-A. (2005). Skillnadens pedagogik. Nya vägar i den pedagogiska teorin. Lund: Studentlitteratur.

Säljö, R. (2014). Lärande & kulturella redskap. Om lärprocesser och det kollektiva minnet. Stockholm: Norstedts.

UD. (2006). Mänskliga rättigheter. Konventionen om barnets rättigheter. Rev, 05.059. Stockholm: Regeringskansliet.

UNESCO. (1994). The Salamanca Statement and Framework for Action. On Special Needs Education. Paris, United Nations Educational, Scientific and Cultural Organization.

Valero, P. (2012). Preface to a Socio-political look at Equity in the School Organization of Mathematics. In H. Forgasz & F. Rivera (Eds.), Towards Equity in Mathematics Education, Advances in Mathematics Education, (pp. 369–371). Berlin, Heidelberg: Springer.

Vygotsky, L. (1978). Mind in Society: The development of higher psychological processes. Cambridge: Harvard University Press.

Wedege, T. (2010). Ethnomathematics and Mathematical Literacy. People knowing mathematics in society. In C. Bergsten, E. Jablonka & T. Wedege (Eds.), Mathematics and Mathematics Education. Cultural and social dimensions. Proceedings of MADIF 7, Stockholm, 26-27 January 2010.

von Wright, M. (2006). The Punctual Fallacy of Participation. Educational Philosophy and Theory, 38(2), 159-170.

Wubbels, T., & Brekelmans, M. (2005). Two Decades of Research on Teacher-Student Relationships in Class. International Journal of Educational Research, 43(1-2), 6-24.

Zevenbergen, R. (2000). “Cracking the Code” of Mathematics Classrooms: School success, as a function of linguistics, social, and cultural background, In. J. Boaler (Ed.), Multiple Perspectives on Mathematics Teaching and Learning. London: Ablex.

Zijlstra, H., Wubbels, T., Brekelmans, M., & Koomen, H. (2013). Child Perceptions of Teacher Interpersonal Behavior and Associations with Mathematics Achievement in Dutch Early Grade Classrooms. The Elementary School Journal, 113(4), 517-540.

Zittoun, T., Gillespie, A., Cornish, F., & Psaltis, C. (2007). The Metaphor of the Triangle in Theories of Human Development. Human Development 50(4), 208–229.