In light of anticipated changes in mathematics education, an alternative for the well-known “research-development-diffusion” model is presented. It is based on an integration of curriculum research and design embedded in “educational development.” In this context curriculum development is described as purposeful and sensible tinkering. It is argued that the theory production implied in this process may be exploited in “developmental research.” However, developmental research is not yet well established as a research discipline. The core of this article is an effort to explicate the characteristics of developmental research and to discuss its methodological aspects.
Wil Oonk, Nico Verloop and Koeno P. E. Gravemeijer
This study concentrated on the theory–practice problem in mathematics teacher education. We examined 13 student teachers' use of theory when they reflected on teaching practice in a class specifically designed to optimize the chance for theory use. We developed a Reflection Analysis Instrument with which the student teachers' use of theory could be identified univocally and described in a systematic way. We describe a case study that illustrates the nature and level of one student teacher's use of theory and discuss variations in all of the student teachers' reasoning and differences in their depth of theory use.