Ordinary schooling of any subject does not tend toward the writing of criticism. Schooling in general tends toward acquisition of knowledge and skills rather than the writing of reviews. For instance, English classes focus on writing essays involving identification of story elements and figuring implied meanings rather than personal assessments of value. As the author likely agrees, certainly the ability to intelligently criticize the work of others is a worthwhile skill, and is good to have integrated into schooling. What is not obvious, however, is how much background knowledge is needed in a mathematical topic to come up with more than a cursory statement of feeling about someone else's work. It would be helpful also if the author provided guidelines for the assessment of students' criticisms.