Heuristically

[hyoo-ris-tik or, often, yoo-] /hyʊˈrɪs tɪk or, often, yʊ-/

adjective
1.
serving to indicate or point out; stimulating interest as a means of furthering investigation.
2.
encouraging a person to learn, discover, understand, or solve problems on his or her own, as by experimenting, evaluating possible answers or solutions, or by trial and error:
a heuristic teaching method.
3.
of, relating to, or based on experimentation, evaluation, or trial-and-error methods.
4.
Computers, Mathematics. pertaining to a trial-and-error method of problem solving used when an algorithmic approach is impractical.
noun
5.
a heuristic method of argument.
6.
the study of heuristic procedure.
/hjʊəˈrɪstɪk/
adjective
1.
helping to learn; guiding in discovery or investigation
2.
(of a method of teaching) allowing pupils to learn things for themselves
3.

noun
4.
(pl) the science of heuristic procedure
adj.

“serving to discover or find out,” 1821, irregular formation from Greek heuretikos “inventive,” related to heuriskein “to find” (from PIE *were- “to find;” cf. Old Irish fuar “I have found”) + -istic. As a noun, from 1860.