Najafi Q&A: Intention for Prayer

What is the difference between concentration and attentiveness in prayer?

If a person studies religious rulings, for example, the rulings of prayer, with the intention of showing off their knowledge, is this knowledge correct and is their prayer correct?

If a person intended to perform a specific prayer, like noon prayer for example, but due to distraction or doubt, they started another prayer within it, such as afternoon prayer (Asr), then they recited the Takbir al-Ihram (opening Allahu Akbar) while in this state, and then they turned back, is it sufficient to maintain their initial intention and what they had in mind to be noon prayer? Or is their prayer invalid, and should they repeat the Takbir and correct their intention for noon prayer again?

If a person intended to perform a specific prayer, like noon prayer for example, but due to distraction or doubt, they started another prayer within it, such as afternoon prayer (Asr), then they recited the Takbir al-Ihram (opening Allahu Akbar) while in this state, and then they turned back, is it sufficient to maintain their initial intention and what they had in mind to be noon prayer? Or is their prayer invalid, and should they repeat the Takbir and correct their intention for noon prayer again?

What to say better "I pray morning prayer" or "I pray dawn prayer"? Which one is more correct for the intention of the dawn prayer?