Yahya related to me from Malik from Nafi that Abdullah ibn Umar and he were approaching Juruf. When they got to Mirbad, Abdullah got down and did tayammum with some good earth. He wiped his face, and his arms to the elbows, and then prayed.  

أَنَّهُ أَقْبَلَ هُوَ وَعَبْدُ اللَّهِ بْنُ عُمَرَ مِنَ الْجُرُفِ حَتَّى إِذَا كَانَا بِالْمِرْبَدِ نَزَلَ عَبْدُ اللَّهِ فَتَيَمَّمَ صَعِيدًا طَيِّبًا فَمَسَحَ وَجْهَهُ وَيَدَيْهِ إِلَى الْمِرْفَقَيْنِ ثُمَّ صَلَّى  

Yahya related to me from Malik from Nafi that Abdullah ibn Umar used to do tayammum up to his elbows. Malik was asked about how tayammum was done and what parts were covered and he said, "Strike the ground once for the face and once for the arms and wipe them to the elbows."  

أَنَّ عَبْدَ اللَّهِ بْنَ عُمَرَ كَانَ يَتَيَمَّمُ إِلَى الْمِرْفَقَيْنِ وَسُئِلَ مَالِكٌ كَيْفَ التَّيَمُّمُ وَأَيْنَ يَبْلُغُ بِهِ فَقَالَ يَضْرِبُ ضَرْبَةً لِلْوَجْهِ وَضَرْبَةً لِلْيَدَيْنِ وَيَمْسَحُهُمَا إِلَى الْمِرْفَقَيْنِ