Teaching models of alligation problems in the Spanish school encyclopedias

Abstract

Alligation problems are part of mathematics since ancient times. Currently they have lost educational value, although they are still present in algebra issues and in daily life. In this paper, we present the teaching model of these problems in school encyclopaedias that were used from the twenties to the seventies of the last century. We characterize the teaching model and we look at the contextual, structural, procedural, and organizational aspects of the alligation problems. We classify the types of problems, the contexts used, the resolution methods and lesson organization.

Keywords:
Didactics; Mathematics; Alloy; Models of teaching; Encyclopedias