Throughout the duration of what has been termed the “math wars”, many overlygeneralized statements by both sides have detracted from the quest for a solution to the conflict between conceptual and procedural approaches to mathematics study. In terms of philosophies of mathematics education, the absolutist view posits that mathematical knowledge is certain and unchallengeable while the fallibilist view is that mathematical knowledge is never beyond revision and correction. We suggest that the major mathematics education reforms have been absolutist in focus and have not reflected the changing nature of the discipline. Thus we believe that true reform will reflect changing perceptions in mathematics education along with changes in American culture and its expectations of mathematics education.
Davison, David M. and Mitchell, Johanna E.
"How is Mathematics Education Philosophy Reflected in the Math Wars?,"
The Mathematics Enthusiast: Vol. 5
, Article 15.
Available at: http://scholarworks.umt.edu/tme/vol5/iss1/15