Please edit my short summary :) Thank you in advance ~

Integrated Essay “Problem Solving”
According to In the reading, the author breaks down explicates “Solving Problem” [is "Solving Problem" the name of the article?] step by step. in the several steps and their breaking points for each steps. The first step is to distinguish whether or not information is relevant or irrelevant ;however, this can be it is difficult to figure out this process sometimes, because of due to “Functional fixedness”, which is the allowing of preconceived notions and even prejudices to color the facts. The second step is to speculate consider the alternatives for a possible solutions. but it is also Solutions are limited by prior experiences, so called, known as “Mental Sets”. And, The final step in the process problem solving is to select the most adoptable solution. among the alternatives. In the During lecture, the professor talk talks about the role of breaks in “Solving Problem”. Initially, she refer refers to the episode that F. A. Kekule's solved epiphany regarding his problem about the mysteries of the carbon atoms. by Kekule claims he reached that epiphany while in a dream as taking a break, ;and however she the professor proposes a this dilemma: that “ Were the dreamers really asleep or were they relaxed but awake when they solved the problem?” Finally, she brings two explanations with examples for reasons why a breaks supports problem solving while we’re awake. One possibility is that during the break, information may appear that provides a solution. the other Another possibility is that breaks help refresh the mind/thought process just to emphasize the value of a break as the role of keep out of an ineffective pattern of thinking.

Nice job on your summary. Just a few points:

1. Simplicity is key in writing. Ideally, the reader should be able to read through once and understand what you want to express. This means shorter sentences and using definitive vocabulary. In other words, choose words that carry the most accurate meaning, not sound the fanciest. In the first sentence you use the word "explicates" when a word like explain/describe/demonstrate or something of the like would work more effectively because explicate isn't common language. Most of what I did is just to remove excess words and boil down your sentences into concrete statements.

2. Get rid of any ambiguity. There is one ambiguity in your writing that I'm still unsure about. In this sentence "The second step is to speculate the alternatives for a solution, but it is also limited by prior experiences, so called, “Mental Sets”. What does the word "it" refer to? The second step? The alternative solutions? Try and be as explicit as possible. 

3. Careful with tense and plurality. Sometimes your verbs didn't agree with the subject. She talk vs. She talks. It also looks like you're still getting the hang of knowing when to make a noun plural. 

Excellent job, though. You're English is impeccable. You've got quite the vocabulary!