Many children and adults have difficulty gaining a comprehensive understanding of rational
numbers. Although fractions are taught before decimals and percentages in many countries …

Instructional design research promotes interactive and adaptive scaffolds as features of
educational technology. Mathematics education research can guide elaborated fractions …

This article offers an overview of the nature and role of relational thinking and relational
reasoning in human learning and performance, both of which pertain to the discernment of …

What basic capacities lay the foundation for advanced numerical cognition? Are there basic
nonsymbolic abilities that support the understanding of advanced numerical concepts, such …

Analogy is a powerful tool for fostering conceptual understanding and transfer in STEM and
other fields. Well‐constructed analogical comparisons focus attention on the causal …

To understand the development of mathematical cognition and to improve instructional
practices, it is critical to identify early predictors of difficulty in learning complex mathematical …

Fraction and decimal concepts are notoriously difficult for children to learn yet are a major
component of elementary and middle school math curriculum and an important prerequisite …

Although fractions, decimals, and whole numbers can be used to represent the same
rational-number values, it is unclear whether adults conceive of these rational-number …

The association between children's fraction relational reasoning and their algebraic thinking
has not been explored longitudinally. This study used incremental importance analysis and …

There is strong evidence from research conducted in the United States that fraction
magnitude understanding supports mathematics achievement. Unfortunately, there has …