Transforming the mathematical practices of learners and teachers through digital technology
Top Cited Papers
- 4 July 2018
- journal article
- research article
- Published by Taylor & Francis Ltd in Research in Mathematics Education
- Vol. 20 (3), 209-228
- https://doi.org/10.1080/14794802.2018.1484799
Abstract
This article argues that mathematical knowledge, and its related pedagogy, is inextricably linked to the tools in which the knowledge is expressed. The focus is on digital tools and the different roles they play in shaping mathematical meanings and in transforming the mathematical practices of learners and teachers. Six categories of digital tool-use that distinguish their differing potential are presented: (1) dynamic and graphical tools; (2) tools that outsource processing power; (3) tools that offer new representational infrastructures for mathematics; (4) tools that help to bridge the gap between school mathematics and the students’ world; (5) tools that exploit high-bandwidth connectivity to support mathematics learning; and (6) tools that offer intelligent support for the teacher when their students engage in exploratory learning with digital technologies Following exemplification of each category, the article ends with some reflections on the progress of research in this area and identifies some remaining challenges.Keywords
This publication has 37 references indexed in Scilit:
- The teacher and the tool: instrumental orchestrations in the technology-rich mathematics classroomEducational Studies in Mathematics, 2010
- The Technological Mediation of Mathematics and Its LearningHuman Development, 2009
- To be or to become: how dynamic geometry changes discourseResearch in Mathematics Education, 2008
- Next steps in implementing Kaput’s research programmeEducational Studies in Mathematics, 2008
- Approaching functions: Cabri tools as instruments of semiotic mediationEducational Studies in Mathematics, 2007
- Ontological Innovation and the Role of Theory in Design ExperimentsJournal of the Learning Sciences, 2004
- Design Experiments in Educational ResearchEducational Researcher, 2003
- Expressing Generality and Roots of AlgebraPublished by Springer Science and Business Media LLC ,1996
- Reconstructing Mathematics Pedagogy from a Constructivist PerspectiveJournal for Research in Mathematics Education, 1995
- Institutional Ecology, `Translations' and Boundary Objects: Amateurs and Professionals in Berkeley's Museum of Vertebrate Zoology, 1907-39Social Studies of Science, 1989