diagrams, using deductive reasoning, and writing proofs, skills which are closely related. Before moving on to
Chapter Three, take some time to review the first two sections of this chapter. It is quite possible that students have
forgotten all about inductive reasoning. Now that they have had practice with deductive reasoning they can compare
it to inductive reasoning and gain a deeper understanding of both. They should understand that inductive reasoning
often helps a mathematician decide what should be attempted to be proved, and deductive reasoning proves it.
Review –The second section of chapter two contains information about conditional statements that will be used in
the more complex proofs in later chapters. Since the students did not get to use most of it with these first simple
proofs, it would be a good idea to draw their attention to it again and talk briefly about the more complex proof that
will be coming.
2.2. Reasoning and Proof