Developing the 3DMath dynamic geometry software: theoretical perspectives on design
Developing the 3DMath dynamic geometry software: theoretical perspectives on design
Designing successful 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 reports on the development of a software environment called 3DMath, a dynamic three-dimensional geometry microworld aimed at enabling learners to construct, observe and manipulate geometrical figures in a 3D-like space. During the development of 3DMath, the key elements of visualisation, including theoretical ideas of 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 can 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.
pedagogy, curriculum, stereometry, 3D, three, dimensions, dimensional, visualization, visualisation, dynamic, representations, modelling, semiotics, software, computers, ICT, 3DMath, teaching, learning, geometry, goemetric, theory, theories, school, schools, classroom
168-174
Christou, Constantinos
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Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Mousoulides, Nicholas
258b8cb9-0b6d-4fa6-bf93-f91ff78794d7
Pittalis, Marios
7e75ec39-527e-4a98-be25-d94e4c2bd596
2006
Christou, Constantinos
61329eb1-2313-4ec7-ad54-038da0afb22e
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Mousoulides, Nicholas
258b8cb9-0b6d-4fa6-bf93-f91ff78794d7
Pittalis, Marios
7e75ec39-527e-4a98-be25-d94e4c2bd596
Christou, Constantinos, Jones, Keith, Mousoulides, Nicholas and Pittalis, Marios
(2006)
Developing the 3DMath dynamic geometry software: theoretical perspectives on design.
International Journal for Technology in Mathematics Education, 13 (4), .
Abstract
Designing successful 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 reports on the development of a software environment called 3DMath, a dynamic three-dimensional geometry microworld aimed at enabling learners to construct, observe and manipulate geometrical figures in a 3D-like space. During the development of 3DMath, the key elements of visualisation, including theoretical ideas of 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 can 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
Christou__et_al_designing_3Dmath_IJTME_13-4_2006.pdf
- Accepted Manuscript
More information
Published date: 2006
Keywords:
pedagogy, curriculum, stereometry, 3D, three, dimensions, dimensional, visualization, visualisation, dynamic, representations, modelling, semiotics, software, computers, ICT, 3DMath, teaching, learning, geometry, goemetric, theory, theories, school, schools, classroom
Organisations:
Mathematics, Science & Health Education
Identifiers
Local EPrints ID: 42114
URI: http://eprints.soton.ac.uk/id/eprint/42114
ISSN: 1744-2710
PURE UUID: 479efdaf-cbc3-4276-a2c0-8b4a174dc90a
Catalogue record
Date deposited: 17 Nov 2006
Last modified: 15 Mar 2024 08:44
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Contributors
Author:
Constantinos Christou
Author:
Nicholas Mousoulides
Author:
Marios Pittalis
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