der Turnverein
gymnastics club
A sports club whose focus is on gymnastics, but which often also offers other sports.
Als Kind war ich Mitglied im örtlichen Turnverein.
As a child, I was a member of the local gymnastics club.

gymnastics club
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gymnastics club
A sports club whose focus is on gymnastics, but which often also offers other sports.
Als Kind war ich Mitglied im örtlichen Turnverein.
As a child, I was a member of the local gymnastics club.

'Turnverein' (gymnastics club) is a compound noun made from the stem of the verb 'turnen' (to do gymnastics) and the noun 'der Verein' (club/association). So it is literally a club where people do gymnastics.
Der Turnverein in unserem Dorf feiert dieses Jahr sein 100-jähriges Jubiläum.
The gymnastics club in our village is celebrating its 100th anniversary this year.
You use 'in' with the dative to express membership or activity ('im Turnverein sein' — to be in the gymnastics club). To describe joining or going there, you use 'in' with the accusative ('in den Turnverein eintreten' — to join the gymnastics club).
Meine Tochter ist seit zwei Jahren im Turnverein.
My daughter has been in the gymnastics club for two years.
Common verbs in connection with the gymnastics club are '(in einen Verein) eintreten' (to join a club), 'Mitglied sein' (to be a member), or 'trainieren' (to train/practice).
Jeden Mittwochnachmittag trainieren die Kinder im Turnverein.
Every Wednesday afternoon, the children train at the gymnastics club.
sports club
'der Sportverein' and 'der Turnverein' both mean a club where people do sports. 'Sportverein' is general and can include many sports. 'Turnverein' is more specific: its focus is on gymnastics, even though it often also has other sports activities. Learners may confuse the words because a gymnastics club is usually also a sports club. If you are speaking generally about a club for sports, 'Sportverein' fits. If the club is especially connected with gymnastics, 'Turnverein' is more precise.

Leon geht jeden Mittwoch in den Turnverein, weil er Geräteturnen üben möchte.
Leon goes to the gymnastics club every Wednesday because he wants to practice apparatus gymnastics.
Der Sportverein bietet im Sommer auch Training im Park an.
The sports club also offers training in the park in summer.