A study of the real number system and its subsystems, ancient and modern numeration systems, problem-solving and simple number theory. Includes teaching materials and discussion of today’s professional organizations. This is a content course, not a methods course.
- Describe historically significant contributions to the development of mathematics.
- Differentiate between and use inductive and deductive reasoning.
- Develop a list of problem-solving strategies.
- Find sums, terms, understand notation for arithmetic, geometric, binary, Fibonacci and power sequences.
- Understand the concept of function and what is meant by variable, domain, range, rate of change for linear, quadratic, logarithmic, exponential and other functions.
- Use interpolation and extrapolation.
- Use scientific notation.
- Recognize the platonic solids, the semiregular polyhedra, perform elementary constructions, and measurements.
- Use manipulatives to explain operations.
- Know the properties of the real number system.
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