Synonyms for Construct (same or very similar meaning)
WordNet sense 1 (an abstract or general idea inferred or derived from specific instances):
concept, conception
WordNet sense 2 (make by combining materials and parts):
build, make
WordNet sense 3 (put together out of components or parts):
fabricate, manufacture
WordNet sense 4 (reassemble mentally):
reconstruct, retrace
From the ODE community, based on WordNet
add/edit