Principle JustifyDiff: Medium
Logic Breakdown
Passage Summary: A teacher argues that while early calculus is helpful, it's dangerous if kids aren't ready for the hard parts, so we need to make sure they are ready before starting.
Conclusion: We should only teach pre-university calculus if we can guarantee students are prepared for the abstract nature of the subject.
Reasoning: While early calculus has benefits, teaching it to unprepared students risks causing them to give up on math entirely.
Analysis: This argument moves from a potential risk (quitting math) to a strict requirement (ensuring readiness). To justify this leap, we need a principle that bridges the gap between a negative outcome and a necessary precaution. Look for a rule that suggests an action should be avoided unless its potential for harm is mitigated. This is a classic 'safety first' logic structure.
Conclusion: We should only teach pre-university calculus if we can guarantee students are prepared for the abstract nature of the subject.
Reasoning: While early calculus has benefits, teaching it to unprepared students risks causing them to give up on math entirely.
Analysis: This argument moves from a potential risk (quitting math) to a strict requirement (ensuring readiness). To justify this leap, we need a principle that bridges the gap between a negative outcome and a necessary precaution. Look for a rule that suggests an action should be avoided unless its potential for harm is mitigated. This is a classic 'safety first' logic structure.
Passage Stimulus
Passage Redacted
Unlock Full Passage6.Which one of the following principles most helps to justify the mathematics teacher's argument?
Correct Answer
A
A states that only those who, without losing motivation, can meet the cognitive challenges of new intellectual work should be introduced to it. That directly licenses the teacher’s conclusion: if we’re going to introduce calculus (new intellectual work), we must make sure students can handle its abstraction (the cognitive challenge) without losing motivation (abandoning math).
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