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Theoretical perspectives on the design of dynamic visualisation software

Theoretical perspectives on the design of dynamic visualisation software
Theoretical perspectives on the design of dynamic visualisation software
Designing learning environments entails drawing on theoretical perspectives on learning while, at the same time, being cognisant of the affordances and constraints of the technology. This paper reflects on the design process through utilising evidence from the design stage of the development of a dynamic visualisation software environment called 3DMath. During the development of 3DMath, a dynamic three-dimensional geometry microworld aimed at enabling learners to construct, observe and manipulate geometrical figures in a 3D-like space, the key elements of visualisation – covering mental images, external representations, and the processes and abilities of visualisation – were taken into consideration. The aim of this paper is to illustrate how the design of this particular software was informed by these elements of visualisation, as well as by theories related to the philosophical basis of mathematical knowledge and by semiotics. The paper illustrates how the features of software may be designed to take account of relevant theoretical notions and to satisfy the characteristics of instructional techniques that are appropriate to theoretical perspectives on learning.
mathematics, education, technology
253-259
International Commission on Mathematical Instruction
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Christou, Constantinos
61329eb1-2313-4ec7-ad54-038da0afb22e
Pittalis, Marios
ecaebb74-5524-47af-a36b-586f366bc5e2
Mousoulides, Nicholas
258b8cb9-0b6d-4fa6-bf93-f91ff78794d7
Hoyles, Celia
Lagrange, Jean-Baptiste
Son, Le Hung
Sinclair, Nathalie
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Christou, Constantinos
61329eb1-2313-4ec7-ad54-038da0afb22e
Pittalis, Marios
ecaebb74-5524-47af-a36b-586f366bc5e2
Mousoulides, Nicholas
258b8cb9-0b6d-4fa6-bf93-f91ff78794d7
Hoyles, Celia
Lagrange, Jean-Baptiste
Son, Le Hung
Sinclair, Nathalie

Jones, Keith, Christou, Constantinos, Pittalis, Marios and Mousoulides, Nicholas (2006) Theoretical perspectives on the design of dynamic visualisation software. Hoyles, Celia, Lagrange, Jean-Baptiste, Son, Le Hung and Sinclair, Nathalie (eds.) In Proceedings of ICMI Study 17 Conference: Digital technologies and mathematics teaching and learning: Rethinking the terrain. vol. 2, International Commission on Mathematical Instruction. pp. 253-259 .

Record type: Conference or Workshop Item (Paper)

Abstract

Designing learning environments entails drawing on theoretical perspectives on learning while, at the same time, being cognisant of the affordances and constraints of the technology. This paper reflects on the design process through utilising evidence from the design stage of the development of a dynamic visualisation software environment called 3DMath. During the development of 3DMath, a dynamic three-dimensional geometry microworld aimed at enabling learners to construct, observe and manipulate geometrical figures in a 3D-like space, the key elements of visualisation – covering mental images, external representations, and the processes and abilities of visualisation – were taken into consideration. The aim of this paper is to illustrate how the design of this particular software was informed by these elements of visualisation, as well as by theories related to the philosophical basis of mathematical knowledge and by semiotics. The paper illustrates how the features of software may be designed to take account of relevant theoretical notions and to satisfy the characteristics of instructional techniques that are appropriate to theoretical perspectives on learning.

Text
Jones-etc_theoretical_design_visual_software_ICMI17_2006 - Accepted Manuscript
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More information

Published date: December 2006
Venue - Dates: ICMI Study 17 Conference: Digital technologies and mathematics teaching and learning: Rethinking the terrain, Hanoi University of Technology, Hanoi, Viet Nam, 2006-12-03 - 2006-12-08
Keywords: mathematics, education, technology

Identifiers

Local EPrints ID: 445786
URI: http://eprints.soton.ac.uk/id/eprint/445786
PURE UUID: 0958621e-1654-4ab9-90cc-1fb95166add8
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

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Date deposited: 07 Jan 2021 17:33
Last modified: 16 Mar 2024 10:26

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Contributors

Author: Keith Jones ORCID iD
Author: Constantinos Christou
Author: Marios Pittalis
Author: Nicholas Mousoulides
Editor: Celia Hoyles
Editor: Jean-Baptiste Lagrange
Editor: Le Hung Son
Editor: Nathalie Sinclair

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