Both Uses

correspond
in
This I Believe
(Edited)

He has been a reporter for the Chicago Tribune and the Washington Post, and a national correspondent for the New York Times, Fountain wrote True Vine: A Young Black Man's Journey of Faith, Hope, and Clarity.†
Chpt 21 *

correspondent = reporter
She sang all the way through her home correspondence courses in floral design and interior decorating.†
Chpt 78 *

correspondence = done from afar

Definitions:

(1) (correspond as in: corresponding time period)
connect or fit together by being equivalent, proportionate, or matched

(Two things are equivalent if they have the same or very similar value, purpose, or result.)
(2) (correspond as in: corresponding by email)
communicate -- typically by writing letters or email

A corresponding secretary is an officer of an organization who is responsible for managing the organization's correspondence and keeping a record of it.
(3) (correspondence as in: a correspondence course)
done from afar

For example, a corresponding member or a correspondence course.

This sense of corresponding arose because people who lived in distant cities and could not be present for meetings, could communicate by sending written communications.
(4) (correspondent as in: foreign correspondent of the paper)
a reporter or other representative -- typically from a foreign country or with a particular expertise
(5) (meaning too rare to warrant focus)