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
      
     
  
  
    
  
    
  
    
  
    
  
   
  
  
    
      December 2006
    
    
  
  
    
      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
      
     
  
    
  
    
  
    
  
    
  
       
    
 
  
    
      
  
  
  
  
    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. 
          
          
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      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
   
  
  
 
          
            
          
            
           
            
           
        
        
       
    
   
  
  
  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
        
  
    
        
          
            
              
            
          
        
    
        
          
        
    
        
          
        
    
        
          
        
    
        
          
            
          
        
    
        
          
            
          
        
    
        
          
            
          
        
    
        
          
            
          
        
    
  
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  Date deposited: 07 Jan 2021 17:33
  Last modified: 16 Mar 2024 10:26
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      Contributors
      
        
      
          
          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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