A collective enquiry into critical aspects of teaching the concept of angles
DOI:
https://doi.org/10.7146/nomad.v12i4.148044Abstract
This paper describes an approach to teaching that enhances pupils’ learning in mathematics. The model described – Learning study – involves teachers and researchers cooperating in an iterative process, gathering data about teaching and pupils’ learning, analysing the data, planning and revising their teaching. A particular theoretical framework was used as a guiding principle when designing and analysing learning. The goal was to identify aspects critical for learning the angle concept. It is demonstrated how the teachers were able to identify the critical aspects and change the teaching in a way that promoted pupils’ learning. What these critical aspects may entail and what teachers and researchers can learn from a Learning study is discussed.
References
Bowden, J. & Marton, F. (1998). The university of learning. Beyond quality and competence. London: Kogan Page. https://doi.org/10.1108/et.1999.41.5.ii.2
Cobb, P., Confrey, J., diSessa, A., Lehrer, R. & Schauble, L. (2003). Design experiments in educational research. Educational Researcher, 32(1), 9-13. https://doi.org/10.3102/0013189X032001009
Holmqvist, M. (Ed.). (2006). Lärande i skolan. Learning study som utvecklingsmodell. Lund: Studentlitteratur.
Johnsen, V. (1996). Hva er en vinkel? [What is an angle? In Norwegian]. Nomad. Nordisk matematikdidaktik, 4(1), 25-49.
Keiser, J. M. (2000). The role of definition. Mathematics Teaching in the Middle School, 5(8), 506-511. https://doi.org/10.5951/MTMS.5.8.0506
Lewis, C. (2002). Lesson study: a handbook of teacher-led instructional change. Philadelphia: Research for better schools inc.
Lo, M. L., Pong, W. Y. & Chik, P. (Eds.) (2005). For each and everyone. Catering for individual differences through learning study. Hong Kong: University Press.
Ma, L. P. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Erlbaum Associates. https://doi.org/10.4324/9781410602589
Magina, S. & Hoyles, C. (1997). Children's understandings of turn and angle. In T. Nunes & P. Bryant (Eds.), Learning and teaching mathematics: an international perspective (pp.99-114). London: Taylor & Francis.
Marton, F. & Booth, S. (1997). Learning and awareness. Mahawa NJ: Erlbaum.
Marton, F. & Morris, P. (Eds.). (2002). What matters? Discovering critical differences in classroom learning. Göteborg: Acta universitatis Gothoburgensis.
Marton, F., Runesson, U. & Tsui, B. M. (2004). The space of learning. In F. Marton & A. B. M. Tsui (Eds.), Classroom discourse and the space of learning (pp.3-40). Mahwah, N.J.: Lawrence Erlbaum. https://doi.org/10.4324/9781410609762
Marton, F. & Tsui, A. B. M. (Eds.). (2004). Classroom discourse and the space of learning. Mahwah: N.J.: Lawrence Erlbaum. https://doi.org/10.4324/9781410609762
Mitchelmore, M. C. (1998). Young students' concepts of turning and angle. Cognition and Instruction, 16 (3), 265-284. https://doi.org/10.1207/s1532690xci1603_2
Nuthall, G. (2004). Relating classroom teaching to student learning: a critical analysis of why research has failed to bridge the theory-practice gap. Harvard Educational Review, 74 (3), 273-306. https://doi.org/10.17763/haer.74.3.e08k1276713824u5
Pang, M. F. & Marton, F. (2005). Learning theory as teaching resource: enhancing students' understanding of economic concepts. Instructional Science, 33, 159-191. https://doi.org/10.1007/s11251-005-2811-0
Runesson, U. (2005). Beyond discourse and interaction: variation - a critical aspect for teaching and learning mathematics. Cambridge Journal of Education, 35(1), 69-87. https://doi.org/10.1080/0305764042000332506
Stigler, J. W. & Hiebert, J. (1999). The teaching gap: best ideas from the world's teachers for improving education in the classroom. New York: The Free Press.
Wilson, P. S. & Adams, V. M. (1992). A dynamic way to teach angle and angle measure. Arithmetic Teacher, 39(5), 6-13. https://doi.org/10.5951/AT.39.5.0006
Yoshida, M. (1999). Lesson study: a case of a Japanese approach to improving instruction through a school based teacher development [unpublished doctoral dissertation]. The University of Chicago.
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