A complex and multifaceted phenomenon, with many ways to approach the study of its properties
Key properties of language
Communication
Arbitrary symbolic reference
Regularity of structure
Multiplicity of structure
Productivity/generativity
Evolutionary and dynamic nature
Communication
Language is a means of communication that allows us to convey meaning and ideas to others
Miscommunications can sometimes occur due to various factors, such as a lack of shared knowledge, differences in cultural background, or the complexity of the message being conveyed
Arbitrary symbolic reference
Words are arbitrary symbols to represent real-world things, concepts, relationships, and descriptions
There is no inherent connection between the word "dog" and the animal it represents
Regularity of structure
Language follows specific rules and patterns, both in individual sounds and words and sentences
Language has a set of rules and patterns that govern how words can be combined to form meaningful communication units, including grammar, syntax, and phonology
Multiplicity of structure
Language can be analyzed at multiple levels, from individual sounds to larger language units like paragraphs and books
Levels of language analysis
Phonetics and phonology
Morphology
Syntax
Semantics
Pragmatics
Productivity/generativity
The ability of language to create an infinite number of unique sentences and other meaningful combinations of words
Although the number of sounds used in a language is finite, they can be combined in countless ways to form new words and sentences
Evolutionary and dynamic nature
Language is constantly evolving and changing, with new words and phrases being created and old ones becoming obsolete
Problem-solving
A cognitive process of finding solutions to a particular problem or situation
Steps in the problem-solving cycle
Problem identification
Problem definition and representation
Strategy formulation
Organization of information
Resource allocation
Monitoring
Evaluation
Problem identification
Recognizing that there is a problem that needs to be solved, and defining the problem with preciseness
Problem definition and representation
Understanding the nature and scope of the problem, its causes, and its effects
Strategy formulation
Developing strategies to solve the problem, involving analysis, breaking down the problem, or synthesizing elements
Organization of information
Identifying and organizing the relevant information required to solve the problem
Resource allocation
Determining the resources required to solve the problem, such as time, money, and effort
Monitoring
Tracking progress towards solving the problem and assessing whether the approach needs to be modified
Evaluation
Determining whether the problem has been solved correctly or if there is room for improvement
Well-structured problems
Problems that have clear paths to solutions, often requiring the application of a formula or a series of steps
Ill-structured problems
Problems that lack clear paths to solutions
Cognitive psychologists have studied well-structured problems, such as motion problems, which require a series of moves to reach a final goal state
Common errors people make when solving well-structured problems include inadvertently moving backwards, making illegal moves, and not realizing the nature of the subsequent legal action
Characteristics of well-structured problems
A clear path to the solution
Defined starting point and goal state
Set of rules or procedures
Steps in solving well-structured problems
1. Understanding the problem
2. Identifying the goal state
3. Determining the rules or procedures
4. Applying the rules or procedures
5. Evaluating the solution
Well-structured problems
Problems that have a clear path to a solution, with a defined starting point, a goal state, and rules or procedures to follow to reach the goal state
Characteristics of well-structured problems
A clear path to the solution
Defined starting point and goal state
Set of rules or procedures
Steps in solving well-structured problems
1. Understanding the problem
2. Applying the rules or procedures
3. Checking the solution
Common errors in solving well-structured problems
Inadvertently moving backwards
Making illegal moves
Not realizing the nature of the following legal move
Heuristics for solving well-structured problems
Means-ends analysis
Working forward
Working backwards
Generating and testing
Ill-structured problems
Problems that lack clear paths to solutions, representing a continuum of clarity in problem-solving rather than two discrete classes
Isomorphic problems
Problems with the same formal structure, differing only in content, requiring similar problem-solving strategies
Problem representation matters in problem-solving
Working memory capacity
Ability to solve analytic problems
The two-string problem is an example of an ill-structured problem
Insight problems
Ill-structured problems that require seeing the problem in a novel way and restructuring the representation of the problem to solve it
Ill-structured problems are challenging to solve because they lack well-defined problem spaces