Search results for "mathematics teaching development"
showing 4 items of 4 documents
Critical alignment in inquiry-based practice in developing mathematics teaching
2013
Published version of an article in the journal: Educational Studies in Mathematics. Also available from the publisher at: http://dx.doi.org/10.1007/s10649-013-9489-z This paper reports a case study from a mathematics teaching developmental research project. The theoretical foundation for the research comprises communities of inquiry and critical alignment, with which the developmental methodology has a particular synergy. This synergy is the main focus of the paper. The paper elaborates theoretical and methodological antecedents of the project and traces these through a case study of developments in the practices of one upper secondary school team and a group of university didacticians (mat…
Mathematics teaching development: Learning from developmental research in Norway
2014
Published version of an article in the journal: ZDM - International Journal on Mathematics Education. Also available from the publisher at: http://dx.doi.org/10.1007/s11858-013-0567-6 This paper is a product of mathematics teaching developmental research projects based on establishing communities of inquiry comprising schoolteachers working at all grades and university-based teacher educator/researchers (didacticians). The projects are established on the principle that teachers taking an inquiry stance in their practice can assert their agency to develop their teaching to enable improved learning experiences for their students. The educational context and the societal pressure to develop ma…
Revisiting the didactic triangle: from the particular to the general
2012
Published version of an article in the journal: ZDM. Also available from the publisher at: http://www.springerlink.com/content/61p78l089tnx8rn5/ The basic notion of a didactic triangle is explained with historical annotations on its origins and subsequent theorization in the literature. Instances of its application to classroom environments to demonstrate its representational capabilities are presented. Generalizations of the triangle are proposed that integrate the role of technology, the researcher in mathematics teaching developmental research, and mediating complexes in the student–teacher–content interfaces. Further, the use of the didactic triangle as a heuristic device is also discus…
Mediated action in teachers’ discussions about mathematics tasks
2012
Published version of an article in the journal: ZDM. Also available from the publisher at: http://dx.doi.org/10.1007/s11858-012-0423-0 This paper presents analyses of teachers’ discussions within mathematics teaching developmental research projects, taking mediation as the central construct. The relations in the so-called ‘didactic triangle’ form the basic framework for the analysis of two episodes in which upper secondary school teachers discuss and prepare tasks for classroom use. The analysis leads to the suggestion that the focus on tasks places an emphasis on the task as object and its resolution as goal; mathematics has the role of a mediating artefact. Subject content in the didactic…