emperical and pure intuitions concerning math

in the first part, kant says that if math consist of synthetic a priori, we must be able to distinguish different concepts in the form of pure intuitions. pure intuitions basically are a point of view. kant distinguishes between emperical intuition and pure intuition. emperical intuiton from my understanding is basically sensing something, like something thats known as a fact or so. kant believes that math is synthetic a priori meaning that it has to be pure intuitions. we are able to understand math because theres something innate in us that allows us to distinguish different concepts, we dont have to have experience to undestand math.