Quoting Commentary for II Kings 2:13

לבניך [AND THOU SHALT TEACH THEM DILIGENTLY] UNTO THY CHILDREN — These are the disciples. Everywhere do we find that disciples are termed בנים, as it is said, (Deuteronomy 14:1) “Ye are children (בנים) of the Lord your God”; and it says, (2 Kings 2:3), “The sons of (בני) the prophets who were in Bethel”. So. too, do we find in the case of Hezekiah that he taught Torah to all Israel and termed them בנים, as it is said, (II Chronicles 29:11), “My sons (בני) be not now negligent". And even as disciples are termed בנים, “children", so the teacher is termed אב, "father", as it is said, (2 Kings 2:12) that Elisha referred to his teacher Elijah by the words, "My father, my father, the chariot of Israel, etc." (Sifrei Devarim 34:4).

Elisha is not immediately able to split the Yarden (Melachim II 2:13-14).¹⁷²This follows the understanding of Radak that Elisha hits the water twice, unlike Ralbag who believes that Elisha hits the Yarden only once. This creates an opportunity for the Bnei HaNevi’im to see how Elisha reacts to a crisis. Elisha is able to see Eliyahu HaNavi’s ascent to heaven and is thus assured of having twice the power of Eliyahu HaNavi (as he requests in Melachim II 2:9). Elisha must be frustrated when he initially is unable to cross the Yarden as did his teacher.