There is a big difference between thinking the answer is correct and knowing it is. The difference is all to do with proof. Sometimes algebra proves, and sometimes it doesn’t. These tasks are designed to ask students to go beyond getting an answer they think is right and submitting one they are quite sure about. And proving they know the difference. The unit does not ask for formal proofs, but for students to explain in their own language why they are so sure.
Heads and Legs with Algebra Number Witch One with Algebra Number Witch Two with Algebra Doubling Delights Alphabetics and Proof Summing the First x Integers How Many Threes? Extended tasks The Sisyphus String The Collatz Conjecture |
 |
Bibliography: A list of the books which have served to inspire tasks within the EUMY Mathematics set.
Acknowledgements. The author would like to acknowledge the invaluable assistance of her mathematical models who appear throughout these tasks:
Epsilon-pi and Smidgin Ubiquitous 
We call them Epsi and Smidge!