وَحَدَّثَنِي عَنْ مَالِكٍ، عَنْ نَافِعٍ، 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 ‏.‏

Yahya related to me from Malik from Nafi that Abdullah ibn Umarused to do tayammum up to his elbows. Malik was asked abouthow tayammum was done and what parts were covered and he said, "Strikethe ground once for the face and once for the arms and wipe them tothe elbows." Translation Not Available

Book Ref: Muwatta Imam Malik Book 2 Hadith 123
Web Ref:  Muwatta Imam Malik Book 2 Hadith 93