This sort of approach to dealing with what are often seen as artificial situations, created especially for the mathematics class, does not directly address the idea of problem solving as a process to be studied for its own sake, and not merely as a facilitator. People do not solve ‘‘age problems,’’ ‘‘motion problems,’’ ‘‘mixture problems,’’ and so on in their real lives. Historically, we always have considered the study of mathematics topically. Without a conscious effort by educators, this will clearly continue to be the case. We might rearrange the topics in the syllabus in various orders, but it will still be the topics themselves that link the courses together rather than the mathematical procedures involved, and this is not the way that most people think! Reasoning involves a broad spectrum of thinking. We hope to encourage this thinking here.