Mapping Pedagogical Opportunities Provided by Mathematics Analysis Software
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This paper proposes a taxonomy of the pedagogical opportunities that are offered by mathematics analysis software such as computer algebra systems, graphics calculators, dynamic geometry or statistical packages. Mathematics analysis software is software for purposes such as calculating, drawing graphs and making accurate diagrams. However, its availability in classrooms also provides opportunities for positive changes to teaching and learning. Very many examples are documented in the professional and research literature, and in this paper we organize them into 10 types. These are displayed in the form of a ‘pedagogical map’, which further classifies them according to whether the opportunity arises from new opportunities for the mathematical tasks used, change to interpersonal aspects of the classroom or change to the point of view on mathematics as a subject. The map can be used in teacher professional development to draw attention to possibilities for lessons or as a catalyst for professional discussion. For research on teaching, it can be used to map current practice, or to track professional growth. The intention of the map is to summarise the potential benefits of teaching with technology in a form that may be useful for both teachers and researchers.
KeywordsTechnology Mathematics Pedagogical opportunities Computer algebra systems Dynamic geometry Spreadsheets Graphics calculators
This work is based in part on research undertaken as part of projects C00002058 and LP 0453701 funded by the Australian Research Council with partners Texas Instruments, Casio and Hewlett-Packard and numerous schools. We thank all the teachers and students who participated.
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