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Definition of teachable : Capable of being taught; apt to learn; also, willing to receive instruction; docile.

Synonyms:

manageable, compliant, submissive, pliable, yielding, tame, docile, educable, gentle, obedient, teach, tractable, amenable, pliant, trainable

eager, able, sympathetic, intelligent, open to instructions, willing, apt, bright, willing to learn

Usage examples:

• " True, you're teachable, Simon," said he. - "Simon Dale", Anthony Hope.
• True, he had not yet been tried; but the trials of a pure, honest, teachable youth, must, however severe, be very different from those of one unteachable. - "Warlock o' Glenwarlock", George MacDonald.
• Begin by praying much for Him to show you how, and to equip you for the work, and begin in a humble, submissive, teachable spirit. - "Godliness", Catherine Booth.