- This is one of the more confusing topics from Chapter 11...
- Basically, when a person is solving a problem, this theory states that a person has a mental graph in their head where all the possible options are presented as nodes (circles) and the person searches through each node and that node's possible outcome, until the correct node is choosen. A generic example of this is shown on here:
- This model can be explained using a chess player for example, and his or her goal of winning the match. Each possible move can be represented as a node on this graph: option a, option b, ...and so on.
This model follows the following rules:
- Each node presents a certain set of knowledge or assumptions
- Each node has certain restraints or rules by which the action has to follow
- finally, each node presents following nodes, or outcomes, where problem solving continues.
- A study by Newell and Simon showed that when the goal is clearly defined, reaching the correct node is a much faster process, than if there is a broad goal without specifics. This study supports the existence of a problem space hypothesis since a smaller graph due to a more specific goal, would indeed make the time to solve the problem shorter.
- Critics of the concept cite that the problem space does not allow for the independent creation of data that the solver is not presented with: For instance a mathematecian who invents a new formula to solve an equation.
References...
Gallotti, Kathleen M. Cognitive Psychology: In and Out of the Laboratory. 4th Edition.
Wadsworth Publishing. 2007.
Means-ends analysis
Problem solving technique:
Example of how means-ends analysis works:
Generate-and-test technique
Example:
References
Gallotti, Kathleen M. Cognitive Psychology: In and Out of the Laboratory. 4th Edition.
Wadsworth Publishing. 2007.
References
Gallotti, Kathleen M. Cognitive Psychology: In and Out of the Laboratory. 4th Edition.
Mental Rotation
· Mental rotation is the process of imagining an object rotated into a different orientation in space.
· Shepard & Metzler (1971) are the two pioneering researchers in the field of mental rotation. They developed the first and most widely used mental rotation task. Their research showed that participant’s reaction time was linearly proportional to the angle of rotation, which means that the more the object has been rotated from the original image, the longer it takes the participant to determine if the two objects were the same or if they were enantiomorphs (mirror images). The following link takes you to a website in which you can participate in a similar test:
Bjornson’s Blog: Mental rotation tests
· Cooper (1976) designed a similar test in which random polygons were either rotated a number of degrees or reflected, and participant’s reaction time was recorded. Results concluded that mental rotation is directly related to physical rotation and that it operates on a visual buffer.
· Studies have shown that there are gender differences in mental rotation abilities. On average, men have outperformed women on many of these tasks.
· Recent studies of mental rotation have used the fMRI to determine which areas of the brain are involved in mental rotation. In these tests, mental rotation tasks activated the Brodmann’s Areas 7A and 7B, the middle frontal gyrus, the hand somastosensory cortex, and the frontal cortex.
References...
Gallotti, Kathleen M. Cognitive Psychology: In and Out of the Laboratory. 4th Edition.
Propositional Theory
A Proposition is a means of specifying relationships between different concepts.
Propositional Theory predicts that the higher the association value, the more propositions relating the two items, and thus a faster verification time.