The mathematics textbook – from artefact to instrument

Authors

  • Monica Johansson

DOI:

https://doi.org/10.7146/nomad.v10i3-4.147171

Abstract

This paper describes the mathematics textbook from two sides, the textbook as an artefact and the textbook as an instrument. It includes results from analysis of textbooks from different parts of the world as well as studies of the actual use of textbooks. It is not an attempt to give complete coverage of previous research in the area; it is rather an attempt to highlight some important issues.

References

Bremler, N. (2003). Matteboken som redskap och aktör. En studie av hur derivatan introduceras i svenska läroböcker. Stockholm: Lärarhögskolan.

Brändström, A. (in preparation). Differentiated learning in mathematics textbooks. Luleå University of Technology.

Chávez, Ó. (2003). From the textbook to the enacted curriculum: textbooks use in the middle school mathematics classroom (Ph. D. Thesis). University of Missouri - Columbia. Retrived January 12, 2006 from, http://www. missouri.edu/~chavezo/dissertation/index.shtml

Castell, S. de, Luke, A., & Luke, C. (Eds.). (1989). Language, authority and criticism. London: Falmer Press.

Dormolen, J. van (1986). Textual analysis. In B. Christiansen, G. Howson & M. Otte (Eds.), Perspectives on mathematics education (pp. 141-171). Dordrecht: D. Reidel. https://doi.org/10.1007/978-94-009-4504-3_4

Freeman, D. J., Belli, G. M., Porter, A. C., Floden, R. E., Schmidt, W. H., & Schwille, J. R. (1983). The influence of different styles of textbooks use on instructional validity of standardized tests. Journal of Educational Measurement, 20 (3), 259-270. https://doi.org/10.1111/j.1745-3984.1983.tb00204.x

Freeman, D. J., & Porter, A. C. (1989). Do textbooks dictate the content of mathematics instruction in elementary schools? American Educational Research Journal, 26 (3), 403-421. https://doi.org/10.3102/00028312026003403

Grevholm, B., Nilsson, M., & Bratt, H. (1988). Läroböcker i matematik. In Skolböcker 3. Den (o)möjliga läroboken. Rapport från Läromedelsöverssynen. (Ds 1988:24). Stockholm: Allmänna Förlaget.

Harries, T., & Sutherland, R. (1999). Primary school mathematics textbooks: an international comparison. In I. Thompson (Ed.), Issues in teaching numeracy in primary schools. Buckingham: Open University Press.

Howson, G., Keitel, C., & Kilpatrick, J. (1981). Curriculum development in mathematics. Cambridge: University Press. https://doi.org/10.1017/CBO9780511569722

Johansson, M. (2003). Textbooks in mathematics education: a study of textbooks as the potentially implemented curriculum (Licentiate thesis). Department of Mathematics, Luleå University of Technology.

Johnsen, E. B. (1993). Textbooks in the kaleidoscope: a critical survey of literature and research on educational texts. Oslo: Scandinavian University Press.

Kang, W., & Kilpatrick, J. (1992). Didactic transposition in mathematics textbooks. For the Learning of Mathematics, 12 (1), 2-7.

Lloyd, G. M. (1999). Two teachers' conceptions of a reform-oriented curriculum: implications for mathematics teacher development. Journal of Mathematics Teacher Education, 2 (3), 227-252. https://doi.org/10.1023/A:1009965804662

Love, E., & Pimm, D. (1996). 'This is so': a text on texts. In A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds.), International handbook of mathematics education (Vol. 1, pp. 371-409). Dordrecht: Kluwer.

Luke, C., de Castell, S., Fraser, S., & Luke, A. (1989). Beyond criticism: the authority of the school textbook. In S. de Castell, A. Luke & C. Luke (Eds.), Language, authority and criticism: readings on the school textbook. London: The Falmer Press.

O'Connor, J. J., & Robertson, E. F. (2002, february). The MacTutor history of mathematics archive. Retrieved June, 2004, from http://www-groups.dcs. st-and.ac.uk/~history/

Pepin, B., & Haggarty, L. (2001). Mathematics textbooks and their use in English, French and German classrooms: a way to understand teaching and learning cultures. Zentralblatt fuer Didaktik der Mathematik, 33 (5), 158-175. https://doi.org/10.1007/BF02656616

Rabardel, P., & Samurçay, R. (2001, March). From artifact to instrument - mediated learning. Paper presented at the New Challenges to Research on Learning. International symposium organized by the Center for Activity Theory and Developmental Work Research, University of Helsinki.

Remillard, J. T. (2000). Can curriculum materials support teachers' learning: two fourth-grade teachers' use of a new mathematics text. The Elementary School Journal, 100 (4), 331-350. https://doi.org/10.1086/499645

Reys, R., Reys, B., Lapan, R., Holliday, G., & Wasman, D. (2003). Assessing the impact of standards-based middle grades mathematics curriculum materials on student achievement. Journal for Research in Mathematics Education, 34 (1), 74-95. https://doi.org/10.2307/30034700

Robitaille, D. F., Schmidt, W. H., Raizen, S. A., McKnight, C. C., Britton, E. D., & Nicol, C. (1993). Curriculum frameworks for mathematics and science (TIMSS Monograph No.1). Vancouver: Pacific Educational Press.

Schmidt, W. H., McKnight, C. C., Houang, R. T., Wang, H., Wiley, D. E., Cogan, L. S., et al. (2001). Why schools matter: a cross-national comparison of curriculum and learning. San Francisco: Jossey-Bass.

Schmidt, W. H., McKnight, C. C., Valverde, G. A., Houang, R. T., & Wiley, D. E. (1997). Many visions, many aims: a cross-national investigation of curricular intentions in school mathematics (Vol. 1). Dordrecht: Kluwer. https://doi.org/10.1007/978-94-011-5786-5

Selander, S. (1988). Lärobokskunskap. Pedagogisk textanalys med exempel från läroböcker i historia 1841-1985. Lund: Studentlitteratur.

Skolverket. (2003). Lusten att lära - med fokus på matematik (Report no. 221). Stockholm: Statens skolverk.

Sosniak, L. A., & Stodolsky, S. S. (1993). Teachers and textbooks: materials use in four fourth-grade classrooms. The Elementary School Journal, 93 (3), 249-275. https://doi.org/10.1086/461725

Stodolsky, S. S. (1989). Is Teaching Really by the Book. In P. W. Jackson & S. Haroutunian-Gordon (Eds.), From Socrates to software: the teacher as a text and the text as a teacher (pp. 159-184). The University of Chicago Press. https://doi.org/10.1177/016146818909000510

Stray, C. (1994). Paradigms regained: towards a historical sociology of the textbook. Journal of Curriculum Studies, 26 (1), 1-29. https://doi.org/10.1080/0022027940260101

Strässer, R. (2004). Artefacts - Instruments - Computers. In C. Bergsten & B. Grevholm (Eds.), Proceedings of MADIF 4. The 4th Swedish Education Research Seminar. Linköping: SMDF, Swedish Society for Research in Mathematics Education..

Säljö, R. (2000). Lärande i praktiken: ett sociokulturellt perspektiv. Stockholm: Prisma.

Valverde, G. A., Bianchi, L. J., Wolfe, R. G., Schmidt, W. H., & Houang, R. T. (2002). According to the Book. Using TIMSS to investigate the translation of policy into practice through the world of textbooks. Dordrecht: Kluwer. https://doi.org/10.1007/978-94-007-0844-0

Wartofsky, M. W. (1979). Models: representation and the scientific understanding. Dordrecht: D. Reidel. https://doi.org/10.1007/978-94-009-9357-0

Downloads

Published

2005-10-01

How to Cite

Johansson, M. (2005). The mathematics textbook – from artefact to instrument. NOMAD Nordic Studies in Mathematics Education, 10(3-4), 43–64. https://doi.org/10.7146/nomad.v10i3-4.147171

Issue

Section

Articles