MATH  200
    
    Problem Solving in Mathematics (3:3:0) [For elementary education
    students only.]

    Course Outline

    MATHEMATICAL WAYS OF THINKING:
    The path of a billiard ball
    Inductive reasoning: Finding and extending patterns, limits of 
    inductive reasoning
    Deductive reasoning: What is a mathematical proof?

    NUMBER SEQUENCES: 
    Arithmetic sequences, geometric sequences, sequences of squares and
    cubes, Fibonacci sequences

    NUMERACY:    
    Large and small numbers
    Powers of ten

    SYMMETRY, REGULAR POLYGONS AND PLANE CURVES:
    Symmetry
    Regular polygons
    Tiling the plane
    Polyhedra: The Platonic solids and other three-dimensional figures

    METHODS OF COUNTING: 
    The fundamental counting principle
    Permutations and combinations

    PROBABILITY: 
    What is probability?
    Binomial probability and Pascal's triangle
    Dependent and independent events
    The birthday problem

    DATA ANALYSIS: 
    Organizing data and frequency distributions
    Code breaking: an application of statistics
    Measures of location and variability
    Collecting data
    Displaying data