Students' developing knowledge in a subject discipline: Insights from combining quantitative and qualitative methods

International Journal of Social Research Methodology: Theory and Practice

Volumn 8, Issue 3, 2005, Pages 225-238

  Hoyles, Celia ^a,d   Küchemann, Dietmar ^a   Healy, Lulu ^b   Yang, Min ^c  

^a Institute of Education   (United Kingdom)

^b PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^c QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^d UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22544464707     PISSN: 13645579     EISSN: None     Source Type: Journal    
DOI: 10.1080/13645570500154899     Document Type: Article

References (15)

1. Balacheff, N. (1988). Aspects of proof in pupils' practice of school mathematics. In D. Pimm (Ed.), Mathematics, teachers and children (pp. 216-235). London: Hodder & Stoughton.
2. Brannen, J. (Ed.). (1992). Mixing methods: Qualitative and quantitative research. Aldershot, UK: Avebury.
3. De Villiers, M. (1990). The role and function of proof in mathematics. Pythagoras, 24, 17-24.
4. Fischbein, E. (1982). Intuition and proof. For the Learning of Mathematics, 3(2), 9-18.
5. Goldstein, H. (2000). Multilevel statistical models (2nd ed.). London: Arnold.
6. Goldstein, H., & Healy, M. J. R. (1995). The graphical presentation of a collection of means. Journal of the Royal Statistical Society, A158, 175-177.
7. Hanna, G. (1989). Proofs that prove and proofs that explain. In G. Vernaud, J. Rogalski, & M. Artigue (Eds.), Proceedings of the 13th conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 45-51). Paris: EDRS.
8. Healy, L., & Hoyles, C. (2000). A study of proof conceptions in algebra. Journal for Research in Mathematics Education, 31(4), 396-428.
9. Healy, L., & Yang, M. (2003). Multilevel models of the year 10 data. In D. Küchemann & C. Hoyles (Eds.), Technical reports of the Longitudinal Proof Project, Years 8, 9 and 10. Retrieved from the Institute of Education web site: http://www.ioe.ac.uk/proof/techreps.html
10. Hoyles, C. (1997). The curricular shaping of students' approaches to proof. For the Learning of Mathematics, 17(1), 7-16.
11. Hoyles, C., & Healy, L. (in press). Curriculum change and geometrical reasoning. In P. Boero (Ed.), Theorems in school. Dordrecht, The Netherlands: Kluwer Academic Publishers.
12. Keys, W., Harris, S., & Fernandes, C. (1996). Third International Mathematics and Science Study, First National Report Part 1. Windsor, UK: NFER.
13. Küchemann, D., & Hoyles, C. (2003). Technical reports of the Longitudinal Proof Project, Years 8, 9 and 10. Retrieved from the Institute of Education web site: http://www.ioe.ac.uk/proof/techreps.html
14. Wang, D. (2003). Multilevel models of the Y9 data. In D. Küchemann & C. Hoyles (Eds.), Technical reports of the Longitudinal Proof Project, Years 8, 9 and 10. Retrieved from the Institute of Education web site: http://www.ioe.ac.uk/proof/techreps.html
15. Woodhouse, G. (2003). Longitudinal proof project: Multilevel models of the first year's data. In D. Küchemann & C. Hoyles (Eds.), Technical reports of the Longitudinal Proof Project, Years 8, 9 and 10. Retrieved from the Institute of Education web site: http://www.ioe.ac.uk/proof/techreps.html