Writers and speakers use counter claims so that they can counter something if it shows up. If there is an opinion that someone says, that could be counted a claim as long as they use evidence. Then if you disagree, you can use a counterclaim to tell them that you have a different opinion that is backed up by an opinion.
Ann is the subject of the sentence has taught is the verb phrase students is the direct object junior high are adjectives that modify the direct object students for several years is a prepositional phrase that modifies the verb taught