MATH 151 - Mathematics for Elementary Teachers I

4 Credit (3 lecture, 2 lab) 5 Contact Hours [Math Level 4 ]

1. Apply inductive and deductive reasoning.
2. Investigate and apply various problem solving strategies.
3. Employ a calculator as a problem solving tool.

Goal 2:  Investigate sets and set notation.

1. Investigate set concepts such as universal, null, finite and infinite sets.
2. Investigate set relationships such as - equal, equivalent, subset and disjoint sets.
3. Investigate set operations such as - union, intersection, cross product, complementation and 1:1 correspondence.
4. Investigate 1:1 correspondence, ordinality, cardinality.

Goal 3:  Investigate Numeration Systems.

1. Investigate characteristics of various numeration systems.
2. Symbols and bases including the symbols used and its base.
3. Investigate Principles of various number systems including - addition, subtraction, multiplication, division and positional place value.
4. Investigate the Historical perspective of various number systems such as- Roman, Egyptian, Babylonian.
5. Investigate the Hindu-Arabic Numeration System and its characteristics such as- symbols, bases, principles, expanded notation.
6. Investigate Non-decimal numeration systems and their characteristics such as the - Regrouping process, writing numerals, converting between base 10 and other bases.

Goal 4:  Investigate the concept of Number and number systems.

1. Investigate Cardinality and the characteristics of ordinality.
2. Investigate the characteristics of the Whole number system.
   1. Define Operations.
   2. Investigate Properties of operations including- commutative, associative, distributive, identity and inverse.
3. Investigate Algorithms for addition, subtraction, multiplication and division, including developmental, traditional and non- traditional algorithms.
4. Investigate Number theory concepts including- factors, multiples, divisors; prime and composite numbers; divisibility rules; the Fundamental Theorem of Arithmetic; least common multiple and greatest common factor.

Goal 5:  Investigate characteristics of the rational number system.

1. Define rational numbers.
2. Investigate operations and properties of rational numbers.
3. Order rational numbers.
4. Investigate models to represent rational numbers.
5. Investigate equivalent rational numbers.
6. Investigate ratio.
7. Investigate proportion.
8. Investigate percent.

Goal 6:  Investigate characteristics of the real number system.

1. Investigate irrationals.
2. Investigate square root numbers.
3. Investigate operations and properties of real numbers.
4. Investigate decimals.              
5. Investigate ratios.
6. Investigate percent.
7. Investigate proportions.