Mathematics · Pedagogy of Mathematics
It is observed that when given a problem like 'Show that the sum of any two odd numbers is an even number', most students reply by quoting a single example, such as '5 + 7 = 12'. Students answer this question inappropriately primarily because:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1An internal cognitive limitation preventing them from reaching the formal operational stage as proposed by Piaget
- 2students have not understood that in Mathematics 'any' is used to indicate generalizations and hence are not able to reason abstractly✓
- 3students have not learned the formal logical proof for the statement in the class
- 4students firmly believe that if a statement is true for one set of numbers, it is always true and hence have developed a strong strategy for making generalizations
Correct answer
students have not understood that in Mathematics 'any' is used to indicate generalizations and hence are not able to reason abstractly
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