The developmental change of young pupils’ metacognitive ability in mathematics in relation to their cognitive abilities

Metacognition is a multidimensional construct with two main dimensions: knowledge about cognition and regulation of cognition. The present study aimed to model the development of young pupils’ metacognitive abilities in mathematics in relation to processing efficiency, working memory and mathematical performance. We developed instruments measuring pupils’ metacognitive ability, mathematical ability, working memory capacity, and processing efficiency, and administered them to 126 pupils (8–11 years old) three times, with breaks of 3–4 months between them. Dynamic modeling indicated that growth in each of the abilities is affected by the state of the others, especially the state of processing efficiency. Growth modeling was used to specify the nature of change in the main aspects of mind and the possible interrelations in the patterns of change in these aspects. The initial mathematical self-image was found to depend on the corresponding processing efficiency and its advancement to rely on the development of mathematical performance and the previous working memory ability.