for the learning of mathematics

an international journal of mathematics education

Amir Asghari - Vol. 32 Num. 3 (2012)
 Specularity in algebra


The purpose of this paper is to reclaim the place of specific examples. It is argued that a plausible step in experiencing the general is to start with a certain general process that can be applied to an already known and specific-for-the-learner object; the specific object is supposed to be there to be treated as a non-specific, particular example of its kind. However, the variation of the objects to which the process may be applied is determined by the perceiver's conception of the objects involved. That is why there are very limited known paths from particular to general.