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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

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