1. An apparatus for speech intent recognition, comprising: a speech recognition device configured to recognize a speech entered by a user and convert the speech into a speech text; a speech intent recognition device configured to extract a user speech intent for the speech text using skill level information of the user and dialogue context information; and a feedback processing device configured to extract an expression depending on the user speech intent and a speech situation of the user, wherein the speech intent recognition device selects a speech-based model among a plurality of speech-based models based on the skill level information of the user, estimates a speech intent for the speech text using the selected speech-based model, estimates a speech intent based on the dialogue context information using a dialogue context-based model, and combines the speech intent based on the speech-based model and the speech intent based on the dialogue context-based model to extract the user speech intent, wherein the apparatus for speech intent recognition outputs the expression extracted by the feedback processing device as a voice through a speaker or as a text form on a display screen, wherein the plurality of speech-based models are separately modeled for respective learner levels and classified into the respective learner levels based on philological information, wherein the dialogue context-based model is based on a list of speeches previous to the speech entered by the user, and wherein the speech intent based on the speech-based model and the speech intent based on the dialogue context-based model are simultaneously estimated.