Major Objectives of Chapter 1: Mathematical Processes

Students will be able to:

o identify a variety of ways in which mathematics is used to communicate;

o recognize the difference between inductive and deductive reasoning and use them in appropriate ways;

o identify counterexamples for false generalizations;

o identify steps in the problem-solving process;

o develop familiarity with a variety of strategies to solve problems;

o communicate mathematical ideas;

o give verbal, visual, numerical, and graphical representations of mathematical concepts;

o given a sequence, state the pattern that is used in the sequence, give a formula for the nth term of the sequence, and state other terms in the sequence;

o use common problem-solving strategies to solve a problems;

o given a series of statements, determine if a conclusion is valid or invalid; and

o given a series of statements, state a valid conclusion or if a conclusion can be reached at all.