** Catalog Description**This is designed specifically for students who seek elementary and middle school teacher certification. Topics include set theory, functions, numerations systems, number theory, emphasis on problem solving and critical thinking.

Course Learning Outcomes

The student will:

• Use models and manipulatives to demonstrate the four basic operations of the rational numbers.

• Demonstrate an understanding of place value through multiple representations including the use of grouping manipulatives, place value manipulatives and abstract representations such as with exponents and different number bases.

• Demonstrate an understanding of the attributes of numeration systems.

• Analyze mathematical situations and solve problems using mathematical heuristics.

Contact Hour Information

Credit Hours: 3

Lecture Hours: 3

Lab Hours: 0

External Hours: 0

Total Contact Hours: 48

Prerequistes

MATH 1314 OR placement by testing;

ENGL 0305 or ENGL 0365 OR higher level course (ENGL 1301), OR placement by testing

Corequisite

ENGL 0307

**Required Materials**

** Textbook: **Billstein, Libeskind, Lott;

**Calculator:**

Graphing Calculator required. TI 83, TI 84 or TI 86 series calculators recommended.

Calculators capable of symbolic manipulation will not be allowed on tests. Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models.

Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.

Textbook Sections

** **

Chapter 1. An Introduction to Problem Solving

1.1 Mathematics and Problem Solving

Chapter 2. Numeration Systems and Sets

2.1 Numeration Systems

2.2 Describing Sets

2.3 Other Set Operations and Their Properties

Chapter 3. Whole Numbers and Their Operations

3.1 Addition and Subtraction of Whole Numbers

3.2 Algorithms for Whole-Number Addition and Subtraction

3.3 Multiplication and Division of Whole Numbers

3.4 Algorithms for Whole-Number Multiplication and Division

3.5 Mental mathematics and Estimation for Whole-Number Operations

Chapter 4. Number Theory

4.1 Divisibility

4.2 Prime and Composite Numbers

4.3 Greatest Common Divisors and Least Common Multiple

Chapter 5. Integers

5.1 Integers and the Operations of Addition and Subtraction

5.2 Multiplication and Division of Integers

Chapter 6. Rational Numbers and Proportional Reasoning

6.1 The Set of Rational Numbers

6.2 Addition, Subtraction and Estimation with Rational Numbers

6.3 Multiplication and Division of rational Numbers

6.4 Ratios, Proportions, and Proportional Reasoning

**Chapter 7. Decimals: Rational Numbers and Percents**

7.1 Introduction to Decimals

7.2 Operations on Decimals

7.3 Nonterminating Decimals

7.4 Percents and Interest

Chapter 8. Real Numbers and Algebraic Reasoning

8.1 Real Numbers