apprendre (quelque chose) : to learn (something)
J'apprends la cuisine I’m learning how to cook.
J'apprends à nager I’m learning how to swim.
apprendre (quelque chose) à (quelqu'un) : to teach (something) to (someone)
In this context, apprendre is synonymous with enseigner (both mean 'to teach').
Marcel apprend le cricket à Muriel. Muriel lui apprend les mathématiques. Marcel is teaching Muriel cricket. Muriel is teaching him mathematics.
enseigner : to teach
J’enseigne le français. Je suis professeur. I teach French. I am a teacher.
J’enseigne le français aux adultes. I teach French to adults.

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