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Logic and the achievement test item, what about them?
Logic is demanding discipline. Medieval scholars were excellent logicians, rumor has it. Yet there is a lot of logic in everyday reasoning also, not rigorous at all. Expect pseudo-logic to play havoc with test items.
Logic is demanding discipline. Medieval scholars were excellent logicians, rumor has it. Yet there is a lot of logic in everyday reasoning also, not rigorous at all. Expect pseudo-logic to play havoc with test items.
Logic is not the same as reasoning. Logic is a formal discipline, not touching on the real world.
- All animals can fly.
- I am an animal.
- Therefore I can fly.
In logic it is possible to posit a false premise, ‘all animals fly’, and yet have a perfectly valid syllogism.
- All animals can fly.
- I am an animal.
- Therefore I can fly.
In logic it is possible to posit a false premise, ‘all animals fly’, and yet have a perfectly valid syllogism.
Test items implicitly of explicitly asking the student to assume a certain state of affairs to be true are ambiguous: how is the student to know she has to reason according to the rules of logic, or not?
In principle, all context questions in math are of this type!
In principle, all context questions in math are of this type!
