%0 Journal Article %1 sfard2000rma %A Sfard, Anna %D 2000 %I Lawrence Earlbaum %J Mathematical Thinking and Learning %K approach cognition communicational discourse learning mathematical mathematics mythesis narrative %N 3 %P 157-189 %T On Reform Movement and the Limits of Mathematical Discourse %U http://www.msu.edu/~sfard/DiscurseLimits-fin.rtf %V 2 %X In this paper, I am taking a critical look on some popular ideas about teaching mathematics, forcefully promoted these days within the reform movement in many places in the world. The issue in focus is that of the nature and limits of mathematical discourse. While knowing mathematics is conceptualized as an ability to participate in this discourse, a special attention is given to meta-discursive rules that regulate the participation and are therefore quite a central, if mostly only implicit, object of learning. Following the theoretical analysis illustrated with a number of empirical examples, the question is asked how far one may go in re-negotiating and relaxing the rules of mathematical discourse before seriously affecting its learnability.

@article{sfard2000rma, abstract = { In this paper, I am taking a critical look on some popular ideas about teaching mathematics, forcefully promoted these days within the reform movement in many places in the world. The issue in focus is that of the nature and limits of mathematical discourse. While knowing mathematics is conceptualized as an ability to participate in this discourse, a special attention is given to meta-discursive rules that regulate the participation and are therefore quite a central, if mostly only implicit, object of learning. Following the theoretical analysis illustrated with a number of empirical examples, the question is asked how far one may go in re-negotiating and relaxing the rules of mathematical discourse before seriously affecting its learnability. }, added-at = {2007-05-06T16:14:55.000+0200}, author = {Sfard, Anna}, biburl = {https://www.bibsonomy.org/bibtex/2f9c512ce83d38b97d3361a8d76f6c52c/yish}, interhash = {d634c316384ef755cb3c4d71f9a4ad3d}, intrahash = {f9c512ce83d38b97d3361a8d76f6c52c}, journal = {Mathematical Thinking and Learning}, keywords = {approach cognition communicational discourse learning mathematical mathematics mythesis narrative}, number = 3, pages = {157-189}, publisher = {Lawrence Earlbaum}, timestamp = {2008-05-26T18:14:34.000+0200}, title = {On Reform Movement and the Limits of Mathematical Discourse}, url = {http://www.msu.edu/~sfard/DiscurseLimits-fin.rtf}, volume = 2, year = 2000 }