An informal overview of the ancient and modern roots of ENGRAMMETRON

en: in or, more specifically, within
gramme: record, stroke or line of a pen
metron: that by which anything is measured
tron: a facility to establish new lawful patterns (inferred from thronon, trona, and tronoi)

Source: Henry George Liddell, Robert Scott, A Greek-English Lexicon

Hence, the ENGRAMMETRON is a facility providing a variety of measurement tools from which records, such as electroencephalograms, electrocardiograms, and so on, can be acquired, analysed, and interpreted in an attempt to identify new patterns and determine new laws, specifically those of educational relevance pertaining to mind, brain, and behaviour.

There is a sense in which ENGRAM is also a nod to Sir Karl Spencer Lashley (1890-1958), a pioneer of modern neuroscience. Lashley initiated the study of brain mechanisms of learning and memory. He hypothesised, and failed to prove, the existence of "memory traces," or "engrams," which refer to detectible changes in localised neural cell assemblies constituting physico-chemical embodiments of memory and learning.

Lashley's failure to discover the engram led him to question the assumption that memory traces were localised, and to argue for a more distributed view of memory and cognition, a view that would eventually come to be known as connectionism. Today, it is still widely believed that various aspects of mental function correlate with various aspects of brain and brain behaviour. The quest to understand what constitutes an engram, and to detect its manifestations accordingly, continues.

Source: Wikipedia