This paper aims to propose a new teaching process which can help students to read argumentative and logical texts critically. Reading texts critically forms the basis of living independently. With this in mind we teach how to read argumentative texts as a major task of Japanese language teaching. However there are some problems to be solved before we accomplish the task. Creating a new teaching process useful for helping students reading critically is one of the most urgent problems we come up against. The new teaching process takes on the character of five problem solving steps: 1) preparing for reading; 2) getting assignments; 3) tackling the assignments; 4) writing critical essays; 5) evaluating the essays written on the step 4. In this paper we focused on the step 1 and 2 steps.