Learn Arabic (Modern Standard): تشاركت المديرة رؤية إيجابية مع الفريق. - The manager shared a positive vision with the team.

Form III شاركت (shārakat) is very common for "shared" and would be perfectly correct. However, using the Form VI تشاركت (tashārakat) adds a subtle layer of mutual participation. It implies the manager and the team are engaged in this vision together, rather than her just handing it down to them. The ـت at the end is simply the feminine "she" marker for المديرة (the female manager).

The lesson is about assimilated roots (starting with Waaw). Is there one hiding in the word إيجابية?

Yes! The root for "positive" is و ج ب (w-j-b). Just like a Waaw merges into a doubled Taa' in Form VIII verbs (like اتّصل), it mutates here too. When forced into the Form IV verbal noun pattern (which starts with an i-sound), the awkward sequence "iwjaab" transforms. The Kasra (i-sound) pulls the Waaw into a Yaa', making it إيجاب (ījaab). Adding the suffix ـية gives us the adjective "positive".

Why is the Hamza in رؤية written on a Waaw (ؤ)?

In the middle of a word, a Hamza's "seat" is determined by a battle between its own vowel and the vowel of the letter right before it. In رؤية (ru'ya), the Raa' has a Damma (u-sound) and the Hamza itself is silent (has a sukuun). Because the Damma is stronger than a sukuun, the Hamza sits on a Waaw to match that u-sound.

Why does "with the team" use the word مع instead of the prefix بـ?