Difference between revisions of "Activities-Real numbers"
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'''Approaches to solutions'''<br> | '''Approaches to solutions'''<br> | ||
==The concepts that a pupil must know are== | ==The concepts that a pupil must know are== | ||
| + | #What is an integer? | ||
| + | #What is an even integer? | ||
| + | #What is an odd integer? | ||
| + | #X and ( x+1) are consecutive integers and x(x+1) is the representation of the product | ||
| + | #Pupil should have the concept of distributive property of integers | ||
| + | #The pupil must have an opportunity for an arguement that the proof is true even of negative integers | ||
| + | #Pupil must have a sound understanding of Euclid's lemma | ||
| + | #The difference between mathematical proofs and Verification/Justification-the scope of mathematical proofs is beyond verification-Higher order skill in problem solving | ||
Revision as of 05:14, 10 July 2014
Problem 1
- For every integer prove that x(x+1) is an even integer (Problem related to mathematical proofs in Chapter 1)
Approaches to solutions
The concepts that a pupil must know are
- What is an integer?
- What is an even integer?
- What is an odd integer?
- X and ( x+1) are consecutive integers and x(x+1) is the representation of the product
- Pupil should have the concept of distributive property of integers
- The pupil must have an opportunity for an arguement that the proof is true even of negative integers
- Pupil must have a sound understanding of Euclid's lemma
- The difference between mathematical proofs and Verification/Justification-the scope of mathematical proofs is beyond verification-Higher order skill in problem solving