Time for telling stories: narrative thinking with dynamic geometry
N. Sinclair, L. Healy, и C. Sales. ZDM - The International Journal on Mathematics Education, 41 (4):
441-452(2009)
Аннотация
In his work on human cognition, Bruner (The culture of education, Harvard University Press, Cambridge, 1996) distinguishes between narrative and paradigmatic modes of thinking. While the latter is closely associated with mathematics, Bruner’s writings suggest that the former contributes non-trivially to the learning of mathematics. In this paper, we argue that the very nature of dynamic mathematical representations—being intrinsically temporal, occurring over time—offer very different opportunities for narrative thinking than do the static diagrams and pictures traditionally available to learners. Using examples from our research, we analyse these opportunities both in terms of their potential for enhancing understanding and for their relation to the kind of paradigmatic thinking that usually constitutes mathematical knowledge.
%0 Journal Article
%1 sinclair2009time
%A Sinclair, Natalie
%A Healy, Lulu
%A Sales, Cassia Osorio Reis
%D 2009
%I Springer
%J ZDM - The International Journal on Mathematics Education
%K bruner eLPBookMor mathematics narrative postviva stories
%N 4
%P 441-452
%T Time for telling stories: narrative thinking with dynamic geometry
%U http://www.springerlink.com/content/x03878218j163678/
%V 41
%X In his work on human cognition, Bruner (The culture of education, Harvard University Press, Cambridge, 1996) distinguishes between narrative and paradigmatic modes of thinking. While the latter is closely associated with mathematics, Bruner’s writings suggest that the former contributes non-trivially to the learning of mathematics. In this paper, we argue that the very nature of dynamic mathematical representations—being intrinsically temporal, occurring over time—offer very different opportunities for narrative thinking than do the static diagrams and pictures traditionally available to learners. Using examples from our research, we analyse these opportunities both in terms of their potential for enhancing understanding and for their relation to the kind of paradigmatic thinking that usually constitutes mathematical knowledge.
@article{sinclair2009time,
abstract = {In his work on human cognition, Bruner (The culture of education, Harvard University Press, Cambridge, 1996) distinguishes between narrative and paradigmatic modes of thinking. While the latter is closely associated with mathematics, Bruner’s writings suggest that the former contributes non-trivially to the learning of mathematics. In this paper, we argue that the very nature of dynamic mathematical representations—being intrinsically temporal, occurring over time—offer very different opportunities for narrative thinking than do the static diagrams and pictures traditionally available to learners. Using examples from our research, we analyse these opportunities both in terms of their potential for enhancing understanding and for their relation to the kind of paradigmatic thinking that usually constitutes mathematical knowledge.},
added-at = {2010-08-05T11:52:34.000+0200},
author = {Sinclair, Natalie and Healy, Lulu and Sales, Cassia Osorio Reis},
biburl = {https://www.bibsonomy.org/bibtex/21168ad8da596915c223f2f159431342f/yish},
interhash = {4a8f6f751d29feec270867162c6d8141},
intrahash = {1168ad8da596915c223f2f159431342f},
journal = {ZDM - The International Journal on Mathematics Education},
keywords = {bruner eLPBookMor mathematics narrative postviva stories},
number = 4,
pages = {441-452},
publisher = {Springer},
timestamp = {2010-08-05T11:52:35.000+0200},
title = {Time for telling stories: narrative thinking with dynamic geometry},
url = {http://www.springerlink.com/content/x03878218j163678/},
volume = 41,
year = 2009
}