Problem solving skills are those skills that allow us to analyze the facts of a situation so that we can use that analysis to come to a conclusion about the situation. The name, itself, is the best description. We are faced with a problem that we must overcome or solve to acheive our goal. The situation can be as simple as deciding what clothes to wear today or as complex as an algebra or calculus math problem. Although problem solving skills well deserve their own category, they require the use of the other cognitive skills, particularly those of attention and executive functioning that are needed to recognize facts, gather them together and organize them.
Two of the main types or methods of problem solving are 1) deductive reasoning and 2) inductive reasoning. With deductive reasoning the conclusion is ensured by the facts. This means that when you have gathered and analyzed the facts of a situation you are certain that the conclusion is the true solution. For example, Jack is spraying Tim with the water hose, therefore Tim is wet. We deduce Tim is wet because we see Jack spraying him with the hose. However, if we just saw that Tim was wet, we could not, with certainty, deduce that Jack sprayed him with the water hose. Tim might have fallen into the pond.
With inductive reasoning, analysis of the facts can allow one to predict the conclusion or solution with high probability that the conclusion is correct but without a guarentee the conclusion is correct. The facts might support a particular conclusion but they do not ensure it. Suppose we walked up to Tim’s house and saw that he was wet and also saw that Jack was holding a water hose. We could analyze the facts and conclude that Jack sprayed Tim with the hose. This is inductive reasoning because with just those facts we could not be certain. Tim could have fallen in the pond while Jack was watering the flowers.
In daily life we probably use a combination of deductive and inductive reasoning to come to conclusions and solve problems. If we learn to gather, organize and analyze facts better we could become better and more accurate problem solvers.
We can gather facts just by observing situations. There may or may not be enough facts to just see or hear to solve the problem. If this is the case we may have to engage in more investigative actions to discover more facts. We may have to ask questions. We may have to try to recreate situations to better see how the facts played out. We may have to think up hypothetical conclusions and test them to see if our “educated guess” is consistent with the facts we have gathered. Trial and error learning might fall into this problem solving strategy.
Organizing information better might enable us to see facts we missed when the information was not so organized. This might involve putting information into groups or in a certain order. We may have to group one way and then regroup it another way to make the facts clear to us. We may have to compare one fact or one group of facts with another to see what is true or what goes together or does not go together. Making a decision that some facts cannot go together helps us to come to good conclusion just a much as determining what does go together. For example, there are four children of different heights and without seeing them I must determine which is shortest and which is tallest. Through my investigation of the facts I find that Jim is taller than Bill, Kathy is shorter than Jane and Bill is taller than Jane. Rather than just trying to answer the question of who is tallest or shortest I can help myself by determining who cannot be tallest or shortest. Since Jim is taller than Bill, Jim cannot be shortest. By using the same line of reasoning Jane cannot be shortest since Kathy is shorter than Jane. And since Bill is taller than Jane he cannot be the shortest. Therefore that only leaves Kathy to be the shortest. Then, since Bill is taller than Jane and and Jim is taller than Bill, Jim has to be the tallest. With one line of reasoning I was ruling out possibilities to come to my conclusion and with the second line of reasoning I was focusing in on possibilities to arrive at my conclusion. This example involved organizing and analyzing the information.
It does appear that learning to gather, organize and analyze facts better helps a person to become a better problem solver.