Search results for "mathematics teaching"
showing 4 items of 14 documents
Teacher Guidance in Mathematical Problem-Solving Lessons : Insights from Two Professional Development Programs
2019
When implementing a problem-solving lesson, the teacher needs to provide students appropriate guidance during problem solving. This demanding task requires understanding students’ work in progress and giving them necessary help without constraining their thinking. In this article, we share insights from two professional development programs on how teachers guided students’ problem solving and how they reflected on these instances. One of the programs included Finnish pre-service teachers, while the other program included US in-service teachers. We analyzed video-recorded problem-solving lessons from 16 Finnish and 2 US teachers in grades 6–9. We found two themes about teacher guidance of st…
Les ouvrages de mathématiques dans l'histoire
2013
Les frontières qui séparent les ouvrages de mathématiques, qu'ils soient destinés à la recherche, l'enseignement ou la culture, sont poreuses. L'auteur d'un ouvrage destiné à des chercheurs doit se faire comprendre, surtout s'il propose des notions inédites. L'auteur d'un ouvrage d'enseignement voit parfois des problèmes d'enseignement devenir des problèmes mathématiques. Un ouvrage destiné à la culture mathématique accumule les difficultés : diffuser des idées nouvelles à un public non averti. Le propos de ces études sur les ouvrages de mathématiques est de parcourir ces frontières pour questionner aussi bien l'existence des ouvrages, leur production et leur matérialité, que les visées de …
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…
Exploring responsive mathematics teaching
2018
Responsive mathematics teaching places students’ ideas and scientific thinking in a central position. It is based upon the expectation that students have resourceful scientific thinking. The responsive teacher advances the acquisition of mathematical knowledge by pursuing the substance of students’ ideas and fostering the practices of the mathematical community. This study focuses on illustrating the responsive mathematics teaching accounts of a second graders teacher. To fulfil this aim, the teaching structure of one teacher has been thoroughly scrutinized and presented in detail. The data, collected through a semi structured interview, classroom observation and field notes, has been analy…