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Learning from others Can PISA and TIMSS really inform curriculum developments in mathematics?

Published online by Cambridge University Press:  23 January 2015

Paul Andrews*
Affiliation:
University of Cambridge, Faculty of Education, 184 Hills Road, Cambridge CB2 8PQ

Extract

One of the problems that will vex any President of the Mathematical Association is the topic of the address with which he or she closes his or her year of office. This occupied me, on and off, for more than a year. In my case, in addition to my desire to acknowledge the honour of the invitation made to me, I was deeply conscious of the fact that I would be the 100th individual to serve as President. I dabbled with some pet themes, typically concerning the lack of genuine problem-solving or proof in English school mathematics, before concluding that the most sensible thing would be to talk on the topic about which I know most. My research interests are in comparative mathematics education. I have been fortunate, over the last twenty years or so, to have been able to visit and videotape mathematics classrooms in several European countries. In so doing I have had my understanding of mathematics teaching transformed in ways that led, almost inevitably, to the theme of both this talk and the conference which brought my Presidency to an end: Learning from Others.

Type
The Presidential Address
Copyright
Copyright © The Mathematical Association 2012

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References

1. Leung, F., The mathematics classroom in Beijing, Hong Kong and London. Educational Studies in Mathematics, (1995) 29 (4), pp. 297325.Google Scholar
2. Kaiser, G., Educational philosophies and their influence on mathematics education – an ethnographic study in English and German mathematics classrooms. Zentralblatt fur Didaktik der Mathematik, (2002) 34 (6), pp.241257.Google Scholar
3. Kaiser, G., Hino, K. & Knipping, C., Proposal for a framework to analyse mathematics education traditions in eastern and western traditions. In Leung, F., Graf, K.-D. & Lopez-Real, F. (Eds.), Mathematics education in different cultural traditions: A comparative study of East Asia and the West, the 13th ICMI Study (pp. 319351). New York: Springer (2006).Google Scholar
4. Haggarty, L. & Pepin, B., An investigation of mathematics textbooks and their use in English, French and German classrooms: who gets an opportunity to learn what? British Educational Research Journal, (2002) 28 (4), pp. 567590.Google Scholar
5. Pepin, B. & Haggarty, L., Mathematics textbooks and their use in English, French and German classrooms: a way to understand teaching and learning cultures. Zentralblatt fur Didaktik der Mathematik, (2001) 33 (5), pp. 158175.Google Scholar
6. Andrews, P., The curricular importance of mathematics: A comparison of English and Hungarian teachers' espoused beliefs. Journal of Curriculum Studies, (2007) 39 (3), pp. 317338.Google Scholar
7. Andrews, P., A comparison of Hungarian and English mathematics teachers' professional goals: Manifestations of implicit cultural expectations. In Gagatsis, A., Rowland, T., Panaoura, A. & Stylianides, A. (Eds.), Mathematics education research at the University of Cyprus and the University of Cambridge: A symposium (pp. 520). Lefkosia: School of Social Sciences and Sciences of Education, the University of Cyprus (2010).Google Scholar
8. Andrews, P., Comparative studies of mathematics teachers' observable learning objectives: validating low inference codes. Educational Studies in Mathematics, (2009) 71(2), pp. 97122.Google Scholar
9. Andrews, P., Mathematics teachers' didactic strategies: Examining the comparative potential of low inference generic descriptors. Comparative Education Review (2009) 53(4), pp. 559581.Google Scholar
10. Clarke, D., The LPS research design. In Clarke, D., Keitel, C. & Shimizu, Y. (Eds.), Mathematics classrooms in twelve countries: The insider's perspective Rotterdam: Sense Publishers (2006) pp. 1536.Google Scholar
11. Usiskin, Z., Misidentifying factors underlying Singapore's high test scores: A strong curriculum is not the sole reason for Singaporean students' success on international assessments. Mathematics Teacher, (2012) 105(9), pp. 666670.Google Scholar
12. Fan, L. & Zhu, Y., From convergence to divergence: the development of mathematical problem solving in research, curriculum, and classroom practice in Singapore. Zentralblatt fur Didaktik der Mathematik, (2007) 39(5/6), pp. 491501.Google Scholar
13. Laukkanen, R., Finnish strategy for high-level education for all. In Soguel, N. C. & Jaccard, P. (Eds.), Governance and Performance of Education Systems (2008) Dordrecht: Springer (pp. 305324).Google Scholar
14. Office for Standards in Education. The education of six year olds in England, Denmark and Finland: An international comparative study. (2003). London: Ofsted.Google Scholar
15. Office for Standards in Education. Finnish pupils' success In mathematics: Factors that contribute to Finnish pupils' success In mathematics (2010). Manchester: Ofsted.Google Scholar
16. Sahlberg, P., The fourth way of Finland. Journal of Educational Change, (2011) 12(2), pp. 173185.Google Scholar
17. Välijärvi, J., The system and how does it work: Some curricular and pedagogical characteristics of the Finnish comprehensive school. Education Journal, (2004) 32, pp. 3155.Google Scholar
18. Lie, S., Linnakylä, P. & Roe, A.. Northern lights on PISA. In Lie, S., Linnakylä, P. & Roe, A. (Eds.), Northern Lights on PISA: Unity and diversity in the Nordic countries in PIS A 2000 (2003). Oslo: Department of Teacher Education and School Development, University of Oslo (pp. 720).Google Scholar
19. Antikainen, A., In search of the Nordic model in education. Scandinavian Journal of Educational Research, (2006) 50(3), pp. 229243.Google Scholar
20. Reinikainen, P., Amazing PISA results in Finnish comprehensive schools. In Niemi, H., Toom, A. & Kallioniemi, A. (Eds.), Miracle of education: The principles and practices of teaching and Learning in Finnish schools (2012). Rotterdam: Sense Publishers (date) pp. 318.Google Scholar
21. Halinen, I. & Jarvinen, R., Towards inclusive education: the case of Finland. Prospects, (2008) 38(1), pp. 7797.Google Scholar
22. Aho, E., Pitkänen, K. & Sahlberg, P., Policy development and reform principles of basic and secondary education in Finland since 1968. Washington: The World Bank. (2006).Google Scholar
23. Sahlberg, P., Education policies for raising student learning: the Finnish approach. Journal of Education Policy, (2007) 22(2), pp. 147171.Google Scholar
24. Poikolainen, J., A case study of parents' school choice strategies in a Finnish urban context. European Educational Research Journal, (2012) 11(1), pp. 127144.Google Scholar
25. Savolainen, H., Responding to diversity and striving for excellence: The case of Finland. Prospects, (2009) 39(3), pp. 281292.Google Scholar
26. Hausstätter, R. S. & Takala, M., Can special education make a difference? Exploring the differences of special educational systems between Finland and Norway in relation to the PISA results. Scandinavian Journal of Disability Research, (2011) 13(4), pp. 271281.Google Scholar
27. Kivirawna, J. & Ruoho, K., Excellence through special education? Lessons from the Finnish school reform. International Review of Education, (2007) 53, pp. 283302.Google Scholar
28. Vilenius-Tuohimaa, P., Aunola, K. & Nurmi, J.-E., The association between mathematical word problems and reading comprehension. Educational Psychology, (2008) 28, pp. 409426.Google Scholar
29. Simola, H., The Finnish miracle of PISA: Historical and sociological remarks on teaching and teacher education. Comparative Education, (2005) 41, pp. 455470.Google Scholar
30. Tuovinen, J., Learning the craft of teaching and learning from world's best practice. The Case of Finland. In McInerney, D. & Liem, A. (Eds.), Teaching and learning: International best practice (2008). Charlotte, NC: Information Age Publishing, pp. 5177.Google Scholar
31. Niemi, H. & Jakku-Sihvonen, R., Research-based teacher education. In Jakku-Sihvonen, R. & Niemi, H. (Eds.), Research-based teacher education in Finland (2006). Turku: Finnish Educational Research Association, pp. 3150.Google Scholar
32. Jyrhämä, R., Kynaslahti, H., Krokfors, L., Byman, R., Maaranen, K., Toom, A. & Kansanen, P., The appreciation and realisation of research-based teacher education: Finnish students' experiences of teacher education. European Journal of Teacher Education, (2008) 31(1), pp. 116.Google Scholar
33. Niemi, H., The societal factors contributing to education and schooling in Finland. In Niemi, H., Toom, A. & Kallioniemi, A. (Eds.), Miracle of education: The principles and practices of teaching and Learning in Finnish schools (2012). Rotterdam: Sense Publishers (2012) pp. 1938.Google Scholar
34. Liang, X., Assessment use, self-efficacy and mathematics achievement: comparative analysis of PISA 2003 data of Finland, Canada and the USA. Evaluation & Research in Education, (2010) 23(3), pp. 213229.Google Scholar
35. Schleicher, A., Securing quality and equity in education: Lessons from PISA. Prospects, (2009) 39(3), pp. 251263.Google Scholar
36. Astala, K., Kivelä, S., Koskela, P., Martio, O., Näätänen, M. & Tarvainen, K., The PISA survey tells only a partial truth of Finnish children's mathematical skills. Matilde, (2006) 29, p. 9.Google Scholar
37. Tarvainen, K. & Kivelä, S., Severe shortcomings in Finnish mathematics skills. Matilde, (2006) 29, p. 10.Google Scholar
38. Malaty, G., Mathematics and mathematics education development in Finland: the impact of curriculum changes on IEA, IMO and PISA results. Paper presented at the Proceedings of the 10th International Conference of the Mathematics Education into the 21st Century Project, Dresden University of Applied Sciences (2010).Google Scholar
39. Adams, R., Response to ‘Cautions on OECD's recent educational survey (PISA). Oxford Review of Education, (2003) 29(3), pp. 377389.Google Scholar
40. Linnakyla, P., Reading in Finland. In Papanastasiou, C. & Froese, V. (Eds.), Reading Literacy in 14 Countries. Lefkosia: University of Cyprus Press (2002).Google Scholar
41. Wallgren, D., Swedish-speaking Finns have strong presence in major corporations, Helsingin Sanomat – International Edition (2011, August 28).Google Scholar
42. Karhunen, J. & Keloharju, M., Shareownership in Finland 2000. Liiketaloudellinen Aikakauskirja (The Finnish Journal of Business Economics) (2001) 2, pp. 188226.Google Scholar
43. Kupiainen, S., Hautamäki, J. & Karjalainen, T., The Finnish education system and PISA: University of Helsinki and the Finland Ministry of Education, Finland (2009).Google Scholar
44. Niemi, E. & Metsämuuronen, J., (Eds.), Miten Matematiikan Kehittyvät?: Matematiikan oppimistulokset peruskoulun viidennen vuosiluokan jälkeen vuonna 2008. Helsinki: Edita Prima Oy(2010).Google Scholar
45. Carlgren, I., Klette, K., Myrdal, S, Schnack, K & Simola, A., Changes in Nordic teaching practices: From individualised teaching to the teaching of individuals. Scandinavian Journal of Educational Research, (2006) 50, pp. 301326.Google Scholar
46. Kupari, P., Recent developments in Finnish mathematics education. Nordic Studies in Mathematics Education, (2004) 9, pp. 720.Google Scholar
47. Norris, N., Asplund, R., MacDonald, B., Schostak, J. & Zamorski, B., An independent evaluation of comprehensive curriculum reform in Finland. Helsinki: National Board of Education (1996).Google Scholar
48. Savoia, L., (2010). Comparison of the classroom practices of Finnish and Icelandic mathematics teachers. Journal of Mathematics Education at Teachers College (Fall-Winter 2010) pp. 713.Google Scholar
49. Pehkonen, E., How Finns learn mathematics: What is the influence of 25 years of research in mathematics education? In Lepis, M. (Ed.), Teaching mathematics: Retrospectives and perspectives (pp. 71101). Tallinn University: Institute of Mathematics and Natural Sciences (2009).Google Scholar
50. Ryve, A., Hemmi, K. & Börjesson, M., Discourses about School-based Mathematics Teacher Education in Finland and Sweden. Scandinavian Journal of Educational Research, (2011) pp. 116.Google Scholar
51. Andrews, P., Finnish mathematics teaching: a case of uniquely implicit didactics. In Dooley, T., Corcoran, D. & Ryan, M. (Eds.), Keynote presentation to the Fourth Conference on Research in Mathematics Education (2011). Dublin: St Patrick's College, pp. 318.Google Scholar
52. Andrews, P., Finnish mathematics teaching from a reform perspective: A video-based case study analysis. Comparative Education Review, 57 (2), (2013).Google Scholar
53. Andrews, P., Ryve, A., Hemmi, K. & Sayers, J., Finnish mathematics teaching and PISA success: An enigma in search of an explanation. Educational Studies in Mathematics, (2012).Google Scholar
54. Meyer, I. De, Vos, H. De & Poele, L. Van de, Worldwide learning at age 15: First results from PISA 2000. Gent: University of Gent and Ministry of the Flemish Community Education Department (2002).Google Scholar
55. Meyer, I. De, Pauly, J. & Poele, L. Van de, Learning for Tomorrow's Problems: First Results from PISA 2003. Gent: University of Gent and the Ministry of Education of the Flemish Community of Belgium (2005).Google Scholar
56. Meyer, I. De, Science competencies for the future in Flanders: The first results from PISA 2006. Gent: University of Gent and the Ministry of Education of the Flemish Community of Belgium (2008).Google Scholar
57. Meyer, I. De & Warlop, N., Leesvaardigheid van 15-jarigen in Vlaanderen: De eerste resultaten van PISA 2009. Gent: Universiteit Gent and Departement Onderwijs and Vorming (2010).Google Scholar
58. Opdenakker, M.-C., Van Damme, J., Fraine, B. De, Van Landeghem, G. & Onghena, P., The Effect of schools and classes on mathematics achievement. School Effectiveness and School Improvement, (2002) 13(4), pp. 399427.Google Scholar
59. Eynde, P. Op't, Corte, E. De & Verschaffel, L., Beliefs and metacognition: An analysis of junior-high students' mathematics-related beliefs. In Veenman, M. & Desoete, A. (Eds.), Metacognition in mathematics education (2006) New York: Nova Science (pp. 83101).Google Scholar
60. Brutsaert, H., Home and school influences on academic performance: state and Catholic elementary schools in Belgium compared. Educational Review, (1998) 50(1), pp. 3744.Google Scholar
61. Pugh, G. & Telhaj, S., Faith schools, social capital and academic attainment: evidence from TIMSS-R mathematics scores in Flemish secondary schools. British Educational Research Journal, (2007) 34(2), pp. 235267.Google Scholar
62. Pustjens, H., Van de Gaer, E., Van Damme, J., Onghena, P. & Van Landeghem, G., The short-term and the long-term effect of primary schools and classes on mathematics and language achievement scores. British Educational Research Journal, (2007) 33(3), pp. 419440.Google Scholar
63. Organisation for Economic Cooperation and Development. The high cost of low educational performance: The long-run economic impact of improving PISA outcomes. Paris: OECD PISA (2010).Google Scholar
64. Hamburger, M., (Ed.). Beethoven: Letters, journals and correspondence. London: Thames and Hudson (1992).Google Scholar
65. Casey, B., Kersh, J. & Young, J., Storytelling sagas: an effective medium for teaching early childhood mathematics. Early Childhood Research Quarterly, (2004) 19(1), pp. 167172.Google Scholar
66. Howell, S. & Kemp, C., Defining early number sense: A participatory Australian study. Educational Psychology, (2005) 25(5), pp. 555571.Google Scholar
67. Yang, D.-C. & Li, M.-N., An investigation of 3rd-grade Taiwanese students' performance in number sense. Educational Studies, (2008), 34(5), pp. 443455.Google Scholar
68. Andrews, P. & Sayers, J., Exemplary teaching of linear equations in Finland, Flanders and Hungary. Journal of Mathematical Behavior, (In press) (2012).Google Scholar
69. Pirie, S., & Martin, L., The equation, the whole equation and nothing but the equation! One approach to the teaching of linear equations. Educational Studies in Mathematics, (1997) 34 (29), pp. 159181.Google Scholar
70. Van den Heuvel-Panhuizen, M., The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, (2003)54(1), pp. 935.Google Scholar
71. Andrews, P., Opportunities to learn in the Budapest mathematics classroom. International Journal of Science and Mathematics Education, (2003) 1 (2), pp. 201225.Google Scholar
72. Bruner, J., Towards a theory of instruction. Cambridge, Mass.: Harvard University Press (1966).Google Scholar
73. Andrews, P., The cultural location of teachers' mathematical knowledge: Another hidden variable in mathematics education research? In Rowland, T. & Ruthven, K. (Eds.), Mathematical knowledge in teaching (2011b) New York: Springer (pp. 99118).Google Scholar