own ability to discern
Explanation:
I believe this is in context of OJT (on-the-job training) and will answer based on that (if not, my answer will probably be way off).
I think the idea here is that through being shown things by others who have more experience/knowledge, a less-experienced person will be able to gain the know-how to notice more aspects (gain a deeper understanding) of the job. (In Japanese labor economics literature, this is tied into the idea of know-how, OJT, kaizen, etc.[refer to Nonaka, I. or any lit on the "toyota-model"])
Based on this, I would translate as:
"By discovering and experiencing their own ability to "discern" (or "notice" or "be aware") on the job, [the person] can observe that [he/she] is being shown, instructed to some degree."
| sumirec
Local time: 12:08
Native speaker of:  English, Japanese
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The translation workplace 
peer agreement (net): +3
peer agreement (net): +1
