Dwaine Has Just Completed a High School Course in Algebra

question 2

Multiple Choice

Dwaine has just completed a high school course in algebra. However, when he needs to solve a problem that uses basic algebra, he finds that he does not know how to apply his knowledge. Cognitive psychologists would argue that Dwaine

• A) is having trouble because of the situated-cognition issue.
• B) should apply the matrix method, because it is especially useful for algebra problems.
• C) is probably using an inappropriate algorithm.
• D) should try parallel processing.

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Definitions:

Universal Generalization

A conclusion drawn about all things in a certain category, based on observations or evidence from some members of that category.

Existential Instantiation

A logical rule inferring the existence of at least one instance of a predicate; used in proofs to show something exists.

Universal Instantiation

A principle in logic that allows for the deducing of a statement about a specific instance from a general statement that applies to all instances.

Universal Generalization

A form of deductive reasoning that concludes a general statement is true for all instances based on the observation of particular instances.