Analysing genomgång: a Swedish mathematics teaching lesson event
Abstract
In this paper, drawing on group interviews focused on Swedish upper secondary students’ perspectives on school mathematics, we analyse participants’ use of the noun genomgång. Loosely translated as a ”whole class event during which the teacher goes through something” and for which there is no English equivalent, the word was used by both interviewers and interviewees even when referring to different forms of whole class activity. Analyses identified four broad categories of genomgång based on their form and function. With respect to form, genomgångs were either transmissive or participative. With respect to function they were either instructional or problem solving.
References
Abelson, R. (1979). Differences between belief and knowledge systems. Cognitive Science, 3 (4), 355-366. https://doi.org/10.1016/S0364-0213(79)80013-0
Abelson, R. (1986). Beliefs are like possessions. Journal for the Theory of Social Behaviour, 16 (3), 223-250. https://doi.org/10.1111/j.1468-5914.1986.tb00078.x
Andersson, R. & Turner, L. (2014). Segregation, gentrification, and residualisation: from public housing to market-driven housing allocation in inner city Stockholm. International Journal of Housing Policy, 14 (1), 3-29. https://doi.org/10.1080/14616718.2013.872949
Andrews, P. (1999). Looking behind the rhetoric: some new insights from Hungary. Mathematics Teaching, 167, 6-10.
Andrews, P. (2003). Opportunities to learn in the Budapest mathematics classroom. International Journal of Science and Mathematics Education, 1 (2), 201-225. https://doi.org/10.1023/B:IJMA.0000016874.07706.5a
Andrews, P. & Diego-Mantecón, J. (2015). Instrument adaptation in cross- cultural studies of students' mathematics-related beliefs: learning from healthcare research. Compare: A Journal of Comparative and International Education, 45 (4), 545-567. https://doi.org/10.1080/03057925.2014.884346
Andrews, P. & Sayers, J. (2013). Comparative studies of mathematics teaching: Does the means of analysis determine the outcome? ZDM, 45 (1), 133-144. https://doi.org/10.1007/s11858-012-0481-3
Bauman, S. & Del Rio, A. (2005). Knowledge and beliefs about bullying in schools: comparing pre-service teachers in the United States and the United Kingdom. School Psychology International, 26 (4), 428-442. https://doi.org/10.1177/0143034305059019
Bishop, A., Seah, W. & Chin, C. (2003). Values in mathematics teaching - the hidden persuaders? In A. Bishop, M. Clements, C. Keitel, J. Kilpatrick & F. Leung (Eds.), Springer international handbooks of education: Vol. 10. Second international handbook of mathematics education (pp. 717- 765). Dordrecht: Kluwer. https://doi.org/10.1007/978-94-010-0273-8_24
Buchmann, M. (1987). Teaching knowledge: the lights that teachers live by. Oxford Review of Education, 13 (2), 151-164. https://doi.org/10.1080/0305498870130203
Callejo, M. & Vila, A. (2009). Approach to mathematical problem solving and students' belief systems: two case studies. Educational Studies in Mathematics, 72 (1), 111-126. https://doi.org/10.1007/s10649-009-9195-z
Clarke, D., Keitel, C. & Shimizu, Y. (Eds.). (2006). Mathematics classrooms in twelve countries: the insider's perspective. Rotterdam: Sense. https://doi.org/10.1163/9789087901622
Clarke, D., Mesiti, C., O'Keefe, C., Xu, L., Jablonka, E. et al. (2007). Addressing the challenge of legitimate international comparisons of classroom practice. International Journal of Educational Research, 46 (5), 280-293. https://doi.org/10.1016/j.ijer.2007.10.009
Clarke, D. & Xu, L. (2008). Distinguishing between mathematics classrooms in Australia, China, Japan, Korea and the USA through the lens of the distribution of responsibility for knowledge generation: public oral interactivity and mathematical orality. ZDM, 40 (6), 963-972. https://doi.org/10.1007/s11858-008-0129-5
Cobb, P. (1986). Contexts, goals, beliefs, and learning mathematics. For the Learning of Mathematics, 6 (2), 2-9.
Cummings, W. (1999). The institutions of education: compare, compare, compare! Comparative Education Review, 43 (4), 413-437. https://doi.org/10.1086/447578
DeBellis, V. & Goldin, G. (2006). Affect and meta-affect in mathematical problem solving: a representational perspective. Educational Studies in Mathematics, 63 (2), 131-147. https://doi.org/10.1007/s10649-006-9026-4
Emanuelsson, J. & Sahlström, F. (2006). Same from the outside, different on the inside: Swedish mathematics classrooms from students' points of view. In D. Clarke, C. Keitel & Y. Shimizu (Eds.), Mathematics classrooms in twelve countries: the insider's perspective (pp. 307-322). Rotterdam: Sense. https://doi.org/10.1163/9789087901622_022
Ernest, P. (1989). The knowledge, beliefs and attitudes of the mathematics teacher: a model. Journal of Education for Teaching, 15 (1), 13-33. https://doi.org/10.1080/0260747890150102
Frey, J. & Fontana, A. (1991). The group interview in social research. The Social Science Journal, 28 (2), 175-187. https://doi.org/10.1016/0362-3319(91)90003-M
Green, T. (1971). The activities of teaching. London: McGraw Hill.
Guest, G., Bunce, A. & Johnson, L. (2006). How many interviews are enough? An experiment with data saturation and variability. Field Methods, 18 (1), 59-82. https://doi.org/10.1177/1525822X05279903
Harvey, O. (1986). Belief systems and attitudes toward the death penalty and other punishments. Journal of Personality, 54 (4), 659-675. https://doi.org/10.1111/j.1467-6494.1986.tb00418.x
Hayashi, A. & Tobin, J. (2011). The Japanese preschool's pedagogy of peripheral participation. Ethos, 39 (2), 139-164. https://doi.org/10.1111/j.1548-1352.2011.01182.x
Hiebert, J. (1999). Relationships between research and the NCTM Standards. Journal for Research in Mathematics Education, 30 (1), 3-19. https://doi.org/10.2307/749627
Häggström, J. (2006). The introduction of new content: What is possible to learn? In D. Clarke, J. Emanuelsson, E. Jablonka & I. Mok (Eds.), Making connections: comparing mathematics classrooms around the world (pp. 185-199). Rotterdam: Sense. https://doi.org/10.1163/9789087901639_010
Johnston, L. & Carroll, D. (1998). The context of emotional responses to athletic injury: a qualitative analysis. Journal of Sport Rehabilitation, 7, 206-220. https://doi.org/10.1123/jsr.7.3.206
Larson, N. (2014). Matematikämnet och stadiebytet mellan grundskolan och gymnasieskolan: en enkät- och klassrumsstudie [Mathematics and the transition from lower to upper secondary school: a survey and classroom study]. (Doctoral thesis). Dep. of Mathematics, Linköping University.
Leinhardt, G. (2001). Instructional explanations: a commonplace for teaching and location for contrast. In V. Richardson (Ed.), Handbook of research on teaching (4th ed., pp. 333-357). Washington: AERA.
Liljestrand, J. & Runesson, U. (2006). Interaction, organisation, tasks and responsibilities for learning about mathematical relationships: a Swedish classroom compared with a US classroom. In D. Clarke, J. Emanuelsson, E. Jablonka & I. Mok (Eds.), Making connections: comparing mathematics classrooms around the world (pp. 165-183). Rotterdam: Sense. https://doi.org/10.1163/9789087901639_009
Lui, K. & Leung, F. (2013). Curriculum traditions in Berlin and Hong Kong: a comparative case study of the implemented mathematics curriculum. ZDM, 45(1), 35-46. https://doi.org/10.1007/s11858-012-0387-0
Marcińczak, S., Tammaru, T., Strömgren, M. & Lindgren, U. (2015). Changing patterns of residential and workplace segregation in the Stockholm metropolitan area. Urban Geography, 36 (7), 969-992. https://doi.org/10.1080/02723638.2015.1012364
Martínez-Sierra, G. & García-González, M. del S. (2017). Students' emotions in the high school mathematical class: appraisals in terms of a structure of goals. International Journal of Science and Mathematics Education, 15 (2), 349-369. https://doi.org/10.1007/s10763-015-9698-2
Mesiti, C. & Clarke, D. (2006). Beginning the lesson: the first ten minutes. In D. Clarke, J. Emanuelsson, E. Jablonka & I. Mok (Eds.), Making connections: comparing mathematics classrooms around the world (pp. 47-71). Rotterdam: Sense. https://doi.org/10.1163/9789087901639_004
Mok, I. & Clarke, D. (2015). The contemporary importance of triangulation in a post-positivist world: examples from the Learner's perspective study. In A. Bikner-Ahsbahs, C. Knipping & N. Presmeg (Eds.), Approaches to qualitative research in mathematics education (pp. 403-425). Dordrecht: Springer Netherlands. https://doi.org/10.1007/978-94-017-9181-6_15
Nespor, J. (1987). The role of beliefs in the practice of teaching. Journal of Curriculum Studies, 19 (4), 317-328. https://doi.org/10.1080/0022027870190403
Nyström, P. (2003). Lika barn leka bäst? En gymnasielärardiskurs om nivågruppering i matematik. Pedagogisk Forskning i Sverige, 8 (4), 225-245.
O'Keefe, C., Xu, L. & Clarke, D. (2006). Kikan-Shido: between desks instruction. In D. Clarke, J. Emanuelsson, E. Jablonka & I. Mok (Eds.), Making connections: comparing mathematics classrooms around the world (pp. 73-105). Rotterdam: Sense. https://doi.org/10.1163/9789087901639_005
O'Reilly, M. & Parker, N. (2013). 'Unsatisfactory saturation': a critical exploration of the notion of saturated sample sizes in qualitative research. Qualitative Research, 13 (2), 190-197. https://doi.org/10.1177/1468794112446106
Op 't Eynde, P., De Corte, E. & Verschaffel, L. (2002). Framing students' mathematics-related beliefs: a quest for conceptual clarity and a comprehensive categorization. In G. Leder, E. Pehkonen & G. Törner (Eds.), Beliefs: a hidden variable in mathematics education? (pp. 13-37). Dordrecht: Kluwer. https://doi.org/10.1007/0-306-47958-3_2
Op 't Eynde, P., De Corte, E. & Verschaffel, L. (2006). Epistemic dimensions of students' mathematics-related belief systems. International Journal of Educational Research, 45 (1-2), 57-70. https://doi.org/10.1016/j.ijer.2006.08.004
Organisation for Economic Co-operation and Development (2006). OECD territorial reviews: Stockholm, Sweden. Paris: OECD.
Philipp, R. (2007). Mathematics teachers' beliefs and affect. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning: a project of the National Council of Teachers of Mathematics (pp. 257-315). Charlotte: Information Age.
Santagata, R., Zannoni, C. & Stigler, J. (2007). The role of lesson analysis in pre-service teacher education: an empirical investigation of teacher learning from a virtual video-based field experience. Journal of Mathematics Teacher Education, 10 (2), 123-140. https://doi.org/10.1007/s10857-007-9029-9
Shimizu, Y. (1999). Aspects of mathematics teacher education in Japan: focusing on teachers' roles. Journal of Mathematics Teacher Education, 2(1), 107-116. https://doi.org/10.1023/A:1009960710624
Skott, J. (2009). Contextualising the notion of 'belief enactment'. Journal of Mathematics Teacher Education, 12 (1), 27-46. https://doi.org/10.1007/s10857-008-9093-9
Stigler, J. & Hiebert, J. (1999). The teaching gap. New York: The Free Press.
Thompson, A. (1992). Teachers' beliefs and conceptions: a synthesis of the research. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127-146). New York: Macmillan.
Tobin, J. & Hayashi, A. (2015). Using video for microanalysis of teachers' embodied pedagogical practices. Research in Comparative and International Education, 10 (3), 326-336. https://doi.org/10.1177/1745499915580424
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