MATH 130 - Elements of Mathematics I: Mathematical Reasoning and Number Systems
An examination of mathematical reasoning, problem solving, and sets. Topics include concepts and processes involving numeration systems, whole numbers, number theory, integers, and rational numbers. Intended for elementary education majors, this course is also suitable for parents of school-age children. PREREQUISITE(S): A grade of C or better in MATH 050 appropriate score on the mathematics assessment test, or consent of department. Assessment Level(s): ENGL 101 /ENGL 101A or AELW 940 /ELAI 990 , READ 120 or AELR 930 /ELAR 980 . Four hours each week. Formerly MA 130.
4 semester hours
Upon course completion, a student will be able to:
- Apply two distinct methods to find the LCM and GCF of two whole numbers.
- Classify and solve application problems involving the four arithmetic operations.
- Communicate mathematical ideas effectively using appropriate vocabulary and grammar.
- Construct and interpret Venn diagrams.
- Explain how and when to employ procedures for estimation and mental computation of operations on whole, integer, rational, and decimal numbers.
- Explain how to apply alternate algorithms for arithmetic operations.
- Explain how to apply different strategies (working backwards, tables, etc.) to solve non-routine problems.
- Find and describe patterns including finding the nth term of a sequence.
- Identify and apply properties and classifications of whole, integer, and rational number operations.
- Interpret set notation and apply set operations
- Prove or disprove conjectures about factors and multiples.
- Recognize and use inductive and deductive reasoning.
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