Chapter 11 Problem Solving & Creativity Flashcards
Components of a problem
Initial state
Goal state
Obstacles
Problem solving is used
When you want to reach a certain goal, but the solution is not immediately obvious
Missing information or obstacles block the path
Understanding the problem
Construct a well-organized mental representation of the problem based on the information provided in the problem and previous experience
Paying attention to important information
Identify and attend to the most relevant information
Bransford and Stein 1984
Algebra story problems
Distracting negative thoughts
Effective problem solvers read the description of a problem very carefully, paying particular attention
to inconsistencies
Symbols
Algebra
Translating words into symbols can cause issues
-oversimplification and misremembering the problem
Matrix
A grid showing all possible combination of items
Matrices
Matrix
Most useful for complex, stable, categorical information
Problem representation
The way you translate the elements of the problem into a different format
Visual images
Escape boundaries of traditional concrete representations
Good visual-imagery skills provide advantage
Diagrams
Instructions for assembling objects
Represent abstract information in a concrete fashion
Reduce large about of complicated information into a concrete form
Hierarchical tree diagram
Graphs
Novick and Morse 2000
Origami
Participants were more accurate with both a verbal description and a step-by-step diagram rather than only a verbal description
Hierarchical Tree Diagram
A figure that uses a tree like structure to show various possible options in a problem. This kind of diagram is especially helpful in showing the relationship between categorized items
Situated-cognition approach
We use helpful information in our immediate environment to create spatial representations; importance of external situation/context
Embodied cognition approach
We often use our own body and our own motor actions, in order to express our abstract thoughts and knowledge; importance of own body as context
Situated Cognition
Problem solving does not only take place inside a persons head
Real life provides information needed to solve complicated problems
Other people provide information
Embodied Cognition
People solve certain kinds of problems more quickly or more accurately if allowed to move parts of their bodies
Mental rotation tasks
Swinging rope problem
Movement of gears problem
Exhaustive search
Try all possible answers
Heuristic
General rule/strategy in in which you ignore some alternatives and explore only those alternatives that seem especially likely to produce a solution
Analogy approach
Using a salutation to a similar, earlier problem to help in solving a new problem
Algorithm
A well-defined procedure or set of rules that is used to solve a problem or accomplish a task or they is used for conducting a series of computations
Always produces a solution; sometimes inefficient
The structure of the analogy approach
Determining the real problem
Problem isomorphs
Surface features
Structural features
Factors that encourage appropriate use of analogies
overcoming the influence of context
trying several structurally similar problems before the target problem
training to sort problems into categories based on structural similarities