The Rawdah is the area between Nabi's grave (or originally his house) and his pulpit (minbar) in Masjid al-Nabawi. Nabi (shallallahu alaihi wa sallam) described it as 'a garden from the gardens of Paradise,' indicating its immense spiritual significance. Prayer in this area is one of the most virtuous acts a visitor to Madinah can perform, as it combines the virtue of praying in Nabi's Masjid (which equals 1,000 shalat elsewhere) with the specific blessing of this sacred space.
Sheikh Ibn Baz stated that the jamaah haji should try to pray two rak'ahs in the Rawdah if possible, make heartfelt doa, and then send salam upon Nabi from whatever location they are in the masjid. He emphasized that the virtue of the Rawdah does not mean that shalat in other parts of Nabi's Masjid are without reward — the entire masjid carries immense virtue. A person who cannot access the Rawdah due to crowds should pray anywhere in the masjid and still earns the multiplied reward.
Sheikh Ibn Uthaymeen warned against several improper behaviors that occur at the Rawdah: pushing and shoving others to reach the area (which is sinful and negates the reward), extending shalat or doa for an unreasonable time while others wait, touching or wiping the pillars or walls seeking blessings (this has no basis in the Sunnah), and treating the Rawdah visit as more important than the wajib shalat (some pengunjung miss the congregational shalat to sit in the Rawdah, which is misguided).