What your argument equates to is turning every writing assignment into free writes, journals, rants and blogs. These are appropriate exercises to build off of, but that's all they are. Your refutation also assumes the five paragraph essay stops at five paragraphs, when it is really just the starting point for everything else. And I am confused when you argue "The five paragraph essay limits students into about 1 1/2 pages"; most are really about 3-4 pages of three transparent, well developed body paragraphs that define, present evidence, and explain with examples. All the emphasis on common core, Aristotle, and argument seem like red herrings in this argument about the five paragraph importance. If you are a high school teacher who wants to truly prepare your student for college or work, then you SHOULD be teaching students to use the five paragraph as a starting point of construction. You'll be doing them a big favor.
There are two methods suitable for making your essay flow logically, and which one to choose depends on the aim of your essay. The first one is a point-by-point method, where you select one aspect and apply it to both of the subjects, in our case, to high school and college. The second one is to concentrate on only one subject first and on the second one later. In this case, the structure will look like this:
Compare and Contrast essay High School vs. College - …
More study time is also required in college because the subjects, homework, and tests, and other requirements are more difficult than in high school. In college, students are expected by professors to have a higher level of critical and analytical thinking than in high school (Grove). Both high school and college are important in a student’s life. Regardless of their similarities and differences, students should always do their best to be an A student to be able to reach their goals and dreams in the future. Hence, both high school and college have significant roles in a student’s life and should be taken seriously.