Developing new Representations and Mathematical Models in a Computational Learning Environment
N. Mousoulides, and G. Philippou. Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education, page 1061-1070. (2005)
Abstract
In this study, we explore the relationship between the learners' visualisations, actions and the environment in which these are articulated. ToonTalk is a visual programming microworld, designed to help students construct mathematical
meanings by linking their actions with multiple representations and with the mediation of programming to build structures and relations. Through a case study of two students interacting with ToonTalk and WebReports, we illustrate a view of
mathematics learning which places at its core the medium of expression, and the building of connections between different modes of representations to discover the related mathematical concepts.
%0 Conference Paper
%1 mousoulides:dnr
%A Mousoulides, Nicholas
%A Philippou, George
%B Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education
%D 2005
%K Fibonacci Representation ToonTalk microworld model mythesis streams weblabs
%P 1061-1070
%T Developing new Representations and Mathematical Models in a Computational Learning Environment
%U http://ermeweb.free.fr/CERME4/CERME4_WG9.pdf#page=137
%X In this study, we explore the relationship between the learners' visualisations, actions and the environment in which these are articulated. ToonTalk is a visual programming microworld, designed to help students construct mathematical
meanings by linking their actions with multiple representations and with the mediation of programming to build structures and relations. Through a case study of two students interacting with ToonTalk and WebReports, we illustrate a view of
mathematics learning which places at its core the medium of expression, and the building of connections between different modes of representations to discover the related mathematical concepts.
@inproceedings{mousoulides:dnr,
abstract = {In this study, we explore the relationship between the learners' visualisations, actions and the environment in which these are articulated. ToonTalk is a visual programming microworld, designed to help students construct mathematical
meanings by linking their actions with multiple representations and with the mediation of programming to build structures and relations. Through a case study of two students interacting with ToonTalk and WebReports, we illustrate a view of
mathematics learning which places at its core the medium of expression, and the building of connections between different modes of representations to discover the related mathematical concepts.},
added-at = {2010-08-05T08:45:06.000+0200},
author = {Mousoulides, Nicholas and Philippou, George},
biburl = {https://www.bibsonomy.org/bibtex/20c960d0ea7268670096dbfcf4649d7a8/yish},
booktitle = {Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education},
interhash = {35b2006eb6e6baeaf1a49e3bd98c5299},
intrahash = {0c960d0ea7268670096dbfcf4649d7a8},
keywords = {Fibonacci Representation ToonTalk microworld model mythesis streams weblabs},
pages = {1061-1070},
timestamp = {2010-08-05T08:45:06.000+0200},
title = {Developing new Representations and Mathematical Models in a Computational Learning Environment},
url = {http://ermeweb.free.fr/CERME4/CERME4_WG9.pdf#page=137},
year = 2005
}