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Graphs are a versatile representation of many systems in
computer science, the social sciences, and mathematics, but
graph theory is not taught in schools. We present our work
on Graphmaster, a computationally enhanced construction
kit that enables children to build graphs of their own and
investigate their properties by experimenting with
algorithms that operate on them. The system is distributed;
microcontrollers inside each node execute an interpreted
language in parallel. Graphmaster, with its magnetic
connectors, illuminated edges, and capacitive sensing,
encourages children to develop intuitions about
connectivity long before they are introduced to the notation
and formulas of graph theory.