capable of being instructed, as a person; docile.
capable of being taught, as a subject.

1475–85; teach + -able

teachability, teachableness, noun
teachably, adverb
nonteachability, noun
nonteachable, adjective
nonteachableness, noun
nonteachably, adverb
unteachable, adjective
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
teach (tiːtʃ)
vb (often foll by how) , teaches, teaching, taught
1.  to help to learn; tell or show (how): to teach someone to paint; to teach someone how to paint
2.  to give instruction or lessons in (a subject) to (a person or animal): to teach French; to teach children; she teaches
3.  (tr; may take a clause as object or an infinitive) to cause to learn or understand: experience taught him that he could not be a journalist
4.  informal Also: teach someone a lesson to cause (someone) to suffer the unpleasant consequences of some action or behaviour
[Old English tǣcan; related to tācentoken, Old Frisian tēken, Old Saxon tēkan, Old High German zeihhan, Old Norse teikn sign]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
His studies upheld the idea that expertise accrues from experience, so in
  principle good minesweeping should be teachable.
Thank you for the informative coverage of how risk taking in science
  communication can yield teachable moments.
But perhaps because they were written quickly, they offer a teachable moment by
  embedding a common misconception.
The graphics are quite good, and there is real information displayed and used
  in the game that provide lots of teachable moments.
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