Recent advances in the representation theory of semigroups have elucidated the complex interplay between algebraic operations, combinatorial structures, and graph theory.

Examples of how students connect functions, algebra, and modeling to describe relationships between quantities * Understand and use function notation (for example, f (x) denotes the output of f ...

Karina J. Wilkie, Students' use of variables and multiple representations in generalizing functional relationships prior to secondary school, Educational Studies in Mathematics, Vol. 93, No. 3 ...

Their modeling efforts allowed them to analyze their understanding of representations of quantities, relationships among quantities, and relationships among the representations of quantities in both ...