This paper reviews research on learners' knowledge of three arithmetic principles:
Commutativity, Relation to Operands, and Inversion. Studies of arithmetic principle …

The current study investigated how young learners' experiences with arithmetic equations
can lead to learning of an arithmetic principle. The focus was elementary school children's …

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

The current study presents a series of computational simulations that demonstrate how the
neural coding of numerical magnitude may influence number cognition and development …

The purpose of this study was to explore problem solving with kindergarten students. This
line of inquiry is highly significant given that Common Core State Standards emphasize …