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
MATH 1314 OR placement by testing;
ENGL 0305 or ENGL 0365 OR higher level course (ENGL 1301), OR placement by testing
Textbook: Billstein, Libeskind, Lott; A Problem Solving Approach to Math for Elementary Teachers, 11th ed.; Pearson
Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at www.mymathlab.com; hard copies of access codes available with ISBN: 9780558357603
Hardbound text (optional), ISBN: 0321756665
Hardbound text + free MyMathLab access, ISBN: 032182802X
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 PDAs can be used as calculators. Calculators may be cleared before tests.
Chapter 1. An Introduction to Problem Solving
1.1 Mathematics and Problem Solving
Chapter 2. Numeration Systems and Sets2.1 Numeration Systems
2.2 Describing Sets
2.3 Other Set Operations and Their Properties
Chapter 3. Whole Numbers and Their Operations3.1 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 Theory4.1 Divisibility
4.2 Prime and Composite Numbers
4.3 Greatest Common Divisors and Least Common Multiple
Chapter 5. Integers5.1 Integers and the Operations of Addition and Subtraction
5.2 Multiplication and Division of Integers
Chapter 6. Rational Numbers and Proportional Reasoning6.1 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 Reasoning8.1 Real Numbers