assoziieren mit
to associate with
To make a mental connection between different things, people, or ideas.
Viele Menschen assoziieren den Geruch von Zimt mit Weihnachten.
Many people associate the smell of cinnamon with Christmas.

to associate
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to associate with
To make a mental connection between different things, people, or ideas.
Viele Menschen assoziieren den Geruch von Zimt mit Weihnachten.
Many people associate the smell of cinnamon with Christmas.

The ending '-ieren' often shows that a verb comes from another language. Such verbs are always weak and form their past participle with 'hat' and without 'ge-' ('hat assoziiert' — has associated).
Ich habe mit diesem Begriff noch nie etwas Positives assoziiert.
I have never associated anything positive with this term.
The use of the reflexive pronoun 'sich' changes the meaning. Without 'sich', it is about a mental connection; with 'sich', it means joining or associating oneself with a group.
Ich assoziiere den Sommer mit langen Abenden am See.
I associate summer with long evenings by the lake.
'Assoziieren' (to associate) belongs more to elevated written language or educated language. It is used less often in normal everyday speech.
Der Künstler assoziiert in seinen Werken oft Gegensätze wie Leben und Tod.
In his works, the artist often associates opposites such as life and death.
When making a mental connection, the preposition 'mit' (with) and the dative are always used. The structure is: etwas (accusative) mit etwas (dative) assoziieren — to associate something with something.
Er assoziiert den Geruch von frisch gebackenem Brot mit seiner Kindheit.
He associates the smell of freshly baked bread with his childhood.
to connect / to bandage
'verbinden' and 'assoziieren' can both express a mental connection. 'verbinden mit' is the more normal and broader word here: you can connect memories, feelings, or ideas with something. 'assoziieren mit' also means that one thing brings another thing to mind, but it sounds somewhat more formal or technical. Learners may confuse the words because both are often used with 'mit'. In everyday language, 'verbinden' is usually more natural; 'assoziieren' fits well when you are consciously talking about thoughts, images, or ideas.

Viele Menschen assoziieren den Geruch von Kaffee mit einem gemütlichen Morgen.
Many people associate the smell of coffee with a cozy morning.
Mit diesem Lied verbinde ich schöne Erinnerungen an den Sommer.
I associate this song with beautiful memories of the summer.