Under the weight of official policies, the future of Islam appears precarious in Xinjiang, a remote region facing Central Asia in China’s northwest corner. Outside observers say scores of mosques have been demolished, which Beijing denies, and locals say the number of worshippers is declining. Tursunjan Mamat, a practicing Muslim there, said he is fasting for Ramadan but his daughters, ages 8 and 10, are not. Religious activity including fasting is not permitted for minors, he explained. “My children know who our holy creator is, but I don’t give them detailed religious knowledge,” he said, speaking through a translator. “After they reach 18, they can receive religious education according to their own will.”