The author examines various strategies and heuristics for approaching a proof and helps students determine how to proceed from one step to the next.

The text emphasizes strategies and heuristics of problem solving, discussing how students will know where to begin and how to proceed, which approach is more promising and why, and whether there are different possible solutions to a given problem.

Provides an in-depth exploration of planar Euclidean geometry, with many theorems and problems approached in various ways.

Includes a large collection of problems at various levels of difficulty.

Provides an in-depth discussion of constructions, with most discussed in three stages:  (i)  Investigation- where the discovery of how to construct the required figures is explored so that students can do new constructions on their own, (ii) Description of the construction steps and the actual construction, and (iii)  Proof of the construction.