Chapter 11: Problem Solving and Creativity Flashcards
What is problem solving?
Problem solving refers to the processes necessary to reach a goal, typically in situations where the solution is not immediately obvious.
What are the features of a problem?
(1) initial state
(2) goal state
(3) obstacles
Define understanding as it relates to problem solving.
Understanding refers to having a well-organized mental representation of the problem, based on both the information provided in the problem and one’s own previous experience.
Why is attention important in problem solving?
Because competing thoughts can cause divided attention, which distracts away from the central task of problem solving. Attention is also important because you need to focus on the appropriate part of a problem in order to understand it.
Explain problem representation.
Problem representation is the way you translate the elements of the problem into a different format. When an appropriate format is selected, you are more likely to solve the problem correctly.
What is a symbol?
Something that is used to represent something else. Symbols are helpful for solving abstract problems like creating an algebraic equation to solve a calculation/find a missing value. The main issue is that people often make mistakes when they translate words to symbols. Two common errors are reversing the role of two variables and oversimplifying the sentence and misrepresenting the information.
What is a matrix?
A grid consisting of rows and columns that shows all possible combinations of items. Matrices are helpful for solving complex problems when the information is categorical and stable, rather than changing over time. The main issue associated with matrices is when people do not use the appropriate labels.
What is a diagram?
A schematic representation that uses visual techniques to represent information. Diagrams are helpful when you need to represent complicated or abstract information in a concrete fashion, when you need to represent a large amount of information, and when you need to show relationships between items. They help people understand problems and leave more “mental space” in working memory for problem-solving.
What is a visual image?
Visual images allow people to escape from the boundaries of traditional, concrete representations.
What is the situated-cognition approach?
The situated-cognition approach says that we often use helpful information in our immediate environment to create spatial representations. It also argues that our ability to solve a problem is tied into the specific physical and social context in which we learned to solve that problem. It emphasizes the external situation that surrounds you.
How to the traditional cognitive approach and situated-cognition approach differ?
The situated-cognition approach argues that the traditional cognitive approach to problem solving is too simplistic. Whereas the traditional approach emphasizes an individual’s internal mental processes, the situated-cognition approach emphasizes taking advantage of the information-rich environment around us.
What is embodied cognition?
Embodied cognition is using our own body and motor actions to express abstract thoughts and knowledge. Research indicates that being able to move parts of our bodies helps people solve certain kinds of problems with higher speed and accuracy.
What is an algorithm?
An algorithm is a method that will always produce a solution to the problem. They are often inefficient and unsophisticated. The exhaustive search method is when people find the solution by trying out all possible answers using a specified solution.
What is a heuristic?
Heuristics are general rules that are usually correct. When people use heuristics in problem solving, they ignore some alternatives and focus on the ones that seem most likely to produce a solution. Unlike an algorithm, heuristics do not guarantee a correct solution. However, heuristics are faster than algorithms. When people are deciding which one to use to solve a problem, they have to weigh the costs and benefits of speed versus possibly missing the solution.
Describe the analogy approach.
The analogy approach is when you use a solution to a similar problem solved earlier in order to help you solve a new problem.
What are problem isomorphs?
Problem isomorphs are a set of problems that have the same underlying structures and solutions, but different specific details.
What are surface features?
Surface features are the specific objects and terms (i.e. details) used in the question that are often irrelevant to the underlying core of the problem. People who use the analogy strategy often pay attention to the surface features instead of the structural features.
What are structural features?
Structural features is the term for the underlying core of the problem that needs to be understood in order to solve it correctly.
Describe the means-end heuristic.
The means-ends heuristic is an approach to problem solving that consists of two components: (1) dividing the problem into multiple smaller problems, called subproblems, and (2) reducing the difference between the initial state and the goal state for each subproblem. It requires identifying the desired ends and then figuring out the means (or methods) to reach them.
Describe the hill-climbing heuristic.
The hill-climbing heuristic is when people reach a choice point and from between a set of alternatives they select the one that seems to lead most directly to their goal. It encourages the most direct alternative to reaching short-term goals. The main weakness is that the indirect alternative may have greater long-term benefits.
What are the domains in which experts differ from novices?
- knowledge base
- memory
- problem-solving strategies
- speed and accuracy
- metacognitive skills
Define mental set.
Mental set is when the same solution used in previous problems is applied, even though there is a different, easier way to solve the problem.
How are mental sets related to mindsets?
The concept of mental set is related to the concept of fixed mindset. A fixed mindset is when you believe that you have a set amount of intelligence and other skills and cannot perform better regardless of how much effort you make. People with a fixed mindset tend to give up on trying to improve their abilities. In contrast, people with a growth mindset believe that intelligence and other skills can be cultivated and they challenge themselves to perform better.
What is functional fixedness?
Functional fixedness is when we assign a stable or fixed function to an object. As a result, people do not think about the features of this object that might be useful in helping solve a problem.
