Background and aim Number sense and arithmetic fluency are fundamental to early
mathematical development. However, these capacities generally fail to predict mathematical …

This study examined adults' frequent, efficient and adaptive use of direct subtraction (DS)
and subtraction by addition (SBA) in mental multi-digit subtraction with the choice/no-choice …

In recent years, an increasing number of studies have examined the association between
mathematical abilities and executive functions (EFs). However, it remains unknown via …

Cognitive arithmetic classically distinguishes procedural and conceptual knowledge as two
determinants of the acquisition of flexible expertise. Whereas procedural knowledge relates …

Understanding of arithmetic concepts in the elementary and middle school years is not only
essential for developing current mathematical skills and knowledge but also as a foundation …

Here we investigate how college students may conceptualize symbolic algebraic properties.
This work uses the theory of Grundvorstellungen (GVs) to analyze how learners' conceptions …

Associativity is a central principle in mathematics. One could argue that associativity is
unambiguous in a strict mathematical sense. However, in an interview study with 16 …

Written for pre-service and in-service educators, as well as parents of children in preschool
through grade five, this book connects research in cognitive development and math …

Current literature suggests that variance in conceptually-based strategy use on multi-term
arithmetic problems is due to individual differences. The present study examined whether …

Tidig algebraundervisning (ibland kallat early algebra) har de senare åren dragit mot att
upptäcka och uttrycka generella strukturer i matematiken (se t. ex. Kieran, Pang, Schifter, & …