As you read this text, pay attention to the concept of functional fixedness. How can you overcome it to help solve problems? How does an algorithm save you time and energy when solving a problem?
People face problems every day - usually, multiple problems throughout the day. Sometimes these problems are straightforward: To double a recipe for pizza dough, for example, all that is required is that each ingredient in the recipe be doubled. Sometimes, however, the problems we encounter are more complex. For example, say you have a work deadline, and you must mail a printed copy of a report to your supervisor by the end of the business day. The report is time-sensitive and must be sent overnight. You finished the report last night, but your printer will not work today. What should you do? First, you need to identify the problem and then apply a strategy for solving the problem.
A problem-solving strategy is a plan of action used to find a solution. Different strategies have different action plans associated with them (Table 7.2). For example, a well-known strategy is trial and error. The old adage, "If at first you don't succeed, try, try again" describes trial and error. In terms of your broken printer, you could try checking the ink levels, and if that doesn't work, you could check to make sure the paper tray isn't jammed. Or maybe the printer isn't actually connected to your laptop. When using trial and error, you would continue to try different solutions until you solved your problem. Although trial and error is not typically one of the most time-efficient strategies, it is a commonly used one.
Method | Description | Example |
---|---|---|
Trial and error | Continue trying different solutions until problem is solved | Restarting phone, turning off WiFi, turning off bluetooth in order to determine why your phone is malfunctioning |
Algorithm | Step-by-step problem-solving formula | Instructional video for installing new software on your computer |
Heuristic | General problem-solving framework | Working backwards; breaking a task into steps |
Another useful heuristic is the practice of accomplishing a large goal or task by breaking it into a series of smaller steps. Students often use this common method to complete a large research project or long essay for school. For example, students typically brainstorm, develop a thesis or main topic, research the chosen topic, organize their information into an outline, write a rough draft, revise and edit the rough draft, develop a final draft, organize the references list, and proofread their work before turning in the project. The large task becomes less overwhelming when it is broken down into a series of small steps.
Problem-solving abilities can improve with practice. Many people challenge themselves every day with puzzles and other mental exercises to sharpen their problem-solving skills. Sudoku puzzles appear daily in most newspapers. Typically, a sudoku puzzle is a 9×9 grid. The simple sudoku below (Figure 7.7) is a 4×4 grid. To solve the puzzle, fill in the empty boxes with a single digit: 1, 2, 3, or 4. Here are the rules: The numbers must total 10 in each bolded box, each row, and each column; however, each digit can only appear once in a bolded box, row, and column. Time yourself as you solve this puzzle and compare your time with a classmate.
Figure 7.7 How long did it take you to solve this sudoku puzzle? (You can see the answer at the end of this section).
Here is another popular type of puzzle (Figure 7.8) that challenges your spatial reasoning skills. Connect all nine dots with four connecting straight lines without lifting your pencil from the paper:
Figure 7.8 Did you figure it out? (The answer is at the end of this section). Once you understand how to crack this puzzle, you won't forget.
Take a look at the "Puzzling Scales" logic puzzle below (Figure 7.9). Sam Loyd, a well-known puzzle master, created and refined countless puzzles throughout his lifetime (Cyclopedia of Puzzles, n.d.).
Figure 7.9 What steps did you take to solve this puzzle? You can read the solution at the end of this section.
Figure 7.10 In Duncker's classic study, participants were provided the three objects in the top panel and asked to solve the problem. The solution is shown in the bottom portion.
Researchers have investigated whether functional fixedness is affected by culture. In one experiment, individuals from the Shuar group in Ecuador were asked to use an object for a purpose other than that for which the object was originally intended. For example, the participants were told a story about a bear and a rabbit that were separated by a river and asked to select among various objects, including a spoon, a cup, erasers, and so on, to help the animals.
The spoon was the only object long enough to span the imaginary river, but if the spoon was presented in a way that reflected its normal usage, it took participants longer to choose the spoon to solve the problem. The researchers wanted to know if exposure to highly specialized tools, as occurs with individuals in industrialized nations, affects their ability to transcend functional fixedness. It was determined that functional fixedness is experienced in both industrialized and nonindustrialized cultures.
In order to make good decisions, we use our knowledge and our reasoning. Often, this knowledge and reasoning is sound and solid. Sometimes, however, we are swayed by biases or by others manipulating a situation. For example, let's say you and three friends wanted to rent a house and had a combined target budget of $1,600. The realtor shows you only very run-down houses for $1,600 and then shows you a very nice house for $2,000. Might you ask each person to pay more in rent to get the $2,000 home?Finally, the availability heuristic is a heuristic in which you make a decision based on an example, information, or recent experience that is that readily available to you, even though it may not be the best example to inform your decision. Biases tend to "preserve that which is already established - to maintain our preexisting knowledge, beliefs, attitudes, and hypotheses". These biases are summarized in Table 7.3.
Bias | Description |
---|---|
Anchoring | Tendency to focus on one particular piece of information when making decisions or problem-solving |
Confirmation | Focuses on information that confirms existing beliefs |
Hindsight | Belief that the event just experienced was predictable |
Representative | Unintentional stereotyping of someone or something |
Availability | Decision is based upon either an available precedent or an example that may be faulty |
Source: Rice University, https://openstax.org/books/psychology-2e/pages/7-3-problem-solving
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