Mathematics is discovered by looking at examples, noticing patterns,making conjectures,and testing those conjectures.once discovered,the final results get organized and put in testbooks.the details and theexcitement of the discovered are lost.
This book introduces the reader to the excitement of the original discoverey.By means of a wide varity of tasks, readers are led to find intresting examples,notice patterns, devise rules to explain the patterns, and discover mathematics for themselves.
The subject studied here is the mathematics behind the idea of connectioness,but the methods and ideas apply to all of mathematics.The only prerequistites are enthusiasm and a knowledge of basic high school maths.