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