Topic: Graphs

Richard Montgomery explores graph theory as the mathematics underlying networks, from infrastructure to biological connections. He discusses his contribution to the proof of Ringel’s conjecture and why extremal questions about graphs are mathematically productive. The interview follows recognition of his work with an EMS Prize.

Visual comparisons are ubiquitous, and they can also be an important source for learning (e.g., Gentner et al., 2016; Kok et al., 2013). In science, technology, engineering, and math (STEM), key information is often conveyed through figures, graphs, and diagrams (Mayer, 1993). Comparing within and across visuals is critical for gleaning insight into the underlying concepts, structures, and processes that they represent. This talk addresses how people make visual comparisons and how visual comparisons can be best supported to improve learning. In particular, the talk will present a series of s