Think of 矫 as 'bending back into shape'. It contains 矢 (arrow), which must fly straight, so to 矫 is to make something arrow-straight again.
usage
Read jiǎo for the everyday senses of correcting or straightening (矫正, 矫健). A separate colloquial reading jiáo appears only in 矫情 (being deliberately difficult or fussy).
Arrow radical on the left supplies the literal image: bent arrows had to be straightened over heat before they would fly true. From that craft-bench origin 矫 widened to mean any kind of correction or rectification, from orthodontics to posture to character.
Right side supplies the sound: qiáo shifting to jiǎo, a common palatal-initial pattern. The 'tall and upright' sense of 乔 also matches what a straightened arrow becomes: vertical, true, no longer warped.
