Early math experiences predict children's later math abilities and beliefs. However, less is known about longer-term associations between early childhood math experiences and adult math outcomes. The present study examined emerging adults' earliest memories of mathematics and reading experiences, asking whether characteristics of their early…

To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

Despite research demonstrating the importance of mathematics achievement to children's educational success and trajectories, many children enter kindergarten without the foundational mathematics skills needed to succeed (Garcia & Weiss, 2015). Children's executive function (EF) skills and their learning-related behaviors (Anthony & Ogg,…

A study was conducted on the involvement of visuospatial working memory (VSWM) in intuitive geometry and in school performance in geometry at secondary school. A total of 166 pupils were administered: (1) six VSWM tasks, comprising simple storage and complex span tasks; and (2) the intuitive geometry task devised by Dehaene, Izard, Pica, and…

Math achievement is not a unidimensional construct but includes different skills that require different cognitive abilities. The focus of this study was to examine associations between a number of cognitive abilities and three domains of math skills (knowing, applying and problem solving) simultaneously in a multivariate framework. Participants…

Metacognition is one of the promising contemporary research fields in psychology and education. The concept has been introduced to describe and explain how people gain control over their learning and thinking, particularly in the case of cognitive failures and difficulties they meet when dealing with information processing and problem solving…

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…

Between 5% and 8% of school-age children have some form of memory or cognitive deficit that interferes with their ability to learn concepts or procedures in one or more mathematical domains. A review of the arithmetical competencies of these children is provided, along with discussion of underlying memory and cognitive deficits and potential…

Discusses the organization and retrieval of information. Describes the tip-of-the-tongue state during mathematics problem solving. Provides five rules for a deep level of processing of new concepts. (YP)

The effects on mathematics achievement of having fifth graders engage in elaborative and integrative processing were studied using 121 students. Subjects were randomly assigned to cognitive-processing, fact-sheet, or control groups. Results show that cognitive processing is related to memory and understanding and is more effective for higher…