Real Life’ in Everyday and Academic Math: Analyzing Ways of Teaching Comparison of Numbers in Senior Primary Mathematics Education
DOI:
https://doi.org/10.53555/nnms.v4i7.540Keywords:
teaching comparison, senior primary, mathematics educationAbstract
This paper draws on the author’s experience that is based on teaching practices of Mathematics Education students. Mathematics Education students consist of school mathematics teachers who are already in the teaching field, and are currently upgrading their qualifications, and student teachers who are currently training to became mathematics teachers at the University of Namibia. These student teachers used four different approaches to teach comparison of numbers at senior primary level (Grade5 -7). School mathematics teachers who are already in the teaching field are observed while conducting their microteaching lessons during School-Based-studied (SBS). Student teachers who are currently training to become mathematics teachers at the University of Namibia were observed while giving their Microteaching lessons to fellow trainees. Data from these observations is used to indicate that contexts that teachers incorporate into the mathematics may not necessarily be institutionalized everyday activities. Secondly, these observations are used to challenge the assumption that: (1) individual teachers are always able to design teaching contexts that draw on every day, for mathematics learning, (2) Teachers are able to predict for their students, how mathematics should be learnt through the use of everyday contexts. In analyzing teacher utterances, I draw from Paul Dowling’s notion of recontextualisation, as well as his language of description, that is used to describe school mathematics texts.
References
Arcavi, A. (2002). The everyday and the academic in mathematics. Journal for Research in Mathematics Education, 11, 12-29.
Boaler, J. (1993). 'The role of contexts in the mathematics classroom: do they make mathematics more "real"?'. For the Learning of Mathematics, 13(2), 12-17.
Carraher, D. W., & Schliemann, A. D. (2002). Is everyday mathematics truly relevant to mathematics education? In J. Moshkovich & M. Brenner (Eds.), Everyday and Academic Mathematics in the Classroom. Monographs of the Journal for Research in Mathematics Education (Vol. 11, pp. 238-283).
Cooper, B., & Dunne, M. (1997). Testing National Curriculum mathematics: some critical comments on the treatment of ‘real’ contexts for mathematics'. The Curriculum Journal, 3(3), 231-244.
de Abreu, G., & Crafter, S. (2016). Mathematics learning in and out of school: Towards continuity and discontinuity. In Lyn D. English & David Kirshner (Eds.), Handbook of International Research in Mathematics Education (3 ed., pp. 295-415). New York , London. : Routledge.
Dowling, P. (1998). The Sociology of Mathematics Education: Mathematical myths/Pedagogic texts. London: Falmer.
Dowling, P. (2007). Organising the Social. Philosophy of Mathematics Education Journal, 21, 1-27.
Dowling, P. (2008). Mathematics, myth and method: The problem of alliteration.(1-22). Retrieved from http://www.pauldowling.me/publications/dowling2008a.pdf
Dowling, P. (2009). Sociology as Method: Departures from the forensics of culture, text and knowledge. Rotterdam: Sense.
Hakadiva-Vatileni, F. N. (2016). The Academic and the Everyday: Subject Advisors’ and Teachers’ Interpretations and Classroom Practices Related to the Goal of Connecting School Mathematics and Students’ Everyday Experiences in Namibia. (Doctoral thesis), Kings College London, United Kingdom.
Jablonka, E. (2008). The Everyday and the Academic in the Mathematics Classroom: Confrontation or Conciliation? Paper presented at the The Perspectives on mathematical knowledge, Proceedings of Madif6: The 6th Swedish Mathematics Education Research seminar, Stockholm.
Ministry of Basic Education Sport and Culture [MBESC]. (2008). The National Curriculum for Basic Education. Okahandja: National Institute for Educational Development (NIED) Retrieved from http://www.nied.edu.na/images/National%20Curriculum%20for%20Basic%20Education%20Jan10.pdf.
Ministry of Education [MoE]. (2010a). Junior Secondary Phase Mathematics Syllabus: grade 8-10 including Additional Mathematics Grade 9-10. Okahandja: National Institute for Educational Development (NIED).
Ministry of Education [MoE]. (2010b). Mathematics Syllabus Grade 5-7: Upper Primary Phase. Okahandja: National Institute for Educational Development (NIED).
Ministry of Education [MoE]. (2015). Mathematics Syllabus Grades 4 – 7: Senior Primary Phase. Okahandja: National Institute for Educational Development (NIED)
Nyabanyaba, T. (1999). Whither Relevance? Mathematics Teachers' Discussion of the Use of ‘Real-Life' Contexts in School Mathematics. For the Learning of Mathematics, 19(3), 10-14.
Palm, T. (2006). Word Problems as Simulations of Real-World Situations: A Proposed Framework. For the Learning of Mathematics, 26(1), 42-47. doi:10.2307/40248523
Sethole, G. (2004). Meaningful contexts or dead mock reality: Which form will the everyday take? Pythagoras, 59(June), 18-25.
Sethole, G. (2005). From The everyday, through The inauthentic, to Mathematics: Reflection on the process of teaching from contexts. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 169-175). Melbourne: PME.
Sethole, G., Goba, B., Adler, J., & Vithal, R. (2006). Fine-tuning a language of description for mathematics items which incorporate the Everyday. In D. Clarke, C. Keitel, & Y. Shimizu (Eds.), Mathematics Classrooms in Twelve Countries: The Insider's Perspective (pp. 117-130). Rotterdam: : Sense.
Treffers, A. (1987). Three Dimensions. A Model of Goal and Theory Description in Mathematics Instruction – The Wiskobas Project. Dordrecht, The Netherlands: Reidel Publishing Company.
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