The aim of this study is to analyse and discuss those strategies for learning that are essential for toddlers' development of an understanding of basic aspects of mathematics. Analysis focuses on authentic episodes where toddlers aged one to three are interacting with other people. The settings chosen for the qualitative analysis emanate from a variation theory of learning approach. In such an approach, learning is defined as a change in understanding, and in order to change a person's understanding of a certain phenomenon, various aspects must be focused on simultaneously. Accordingly, critical aspects that a learner has not been previously able to focus on may emerge during interaction with others since such settings provide an opportunity for the problemisation of differing aspects and perspectives. This study seeks to discern toddlers' strategies for learning through the observation of those strategies that the toddlers themselves initiate, which may reveal the competence for learning that young children possess. (Contains 1 figure.)