Math 1350 Mathematics for Teachers I Information
LSC-CyFair Math Department
This course is intended to build or reinforce a foundation in fundamental mathematics concepts and skills. It includes the conceptual development of the following: sets, functions, numeration systems, number theory, and properties of the various number systems with an emphasis on problem solving and critical thinking.
Course Learning Outcomes
The student will:
- Explain and model the arithmetic operations for whole numbers and integers.
- Explain and model computations with fractions, decimals, ratios and percentages.
- Describe and demonstrate how factors, multiples, and prime numbers are used to solve problems.
- Apply problem solving skills to numerical applications.
- Represent and describe relationships among sets using the appropriate mathematical terminology and notation.
- Compare and contrast structures of numeration systems.
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;
College level readiness in reading and writing
Textbook: Billstein, Libeskind, Lott; A Problem Solving Approach to Math for Elementary Teachers, 12th 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.
ISBN for hard copies of MyMathLab access codes: 9780321199911
Hardbound text (optional), ISBN: 9780321987297
Hardbound text + free MyMathLab access, ISBN: 9780321990594
Graphing calculators may be required for some assignments/assessments at the discretion of the instructor. 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.
Chapter 1. An Introduction to Problem Solving
1.1 Mathematics and Problem Solving (Polya 4 step problem solving process only)
Chapter 2. Introduction to Logic and Sets
2.2 Describing Sets
2.3 Other Set Operations and Their Properties (Cartesian product optional)
Chapter 3. Numeration Systems and Whole Numbers Operations
3.1 Numeration Systems (skip tally numeration system)
3.2 Addition and Subtraction Of Whole Numbers
3.3 Multiplication and Division Of Whole Numbers (introduce Cartesian product from Sect. 2.3)
3.4 Addition and Subtraction Algorithms, Mental Computation and Estimation
3.5 Multiplication and Division Algorithms, Mental Computations and Estimation
Chapter 4. Number Theory
4.1 Divisibility (divisibility rules if time permits)
4.2 Prime and Composite Numbers
4.3 Greatest Common Divisors and Least Common Multiple
Chapter 5. Integers
5.1 Addition and Subtraction of Integers
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, Division, and Estimation with Rational Numbers
6.4 Proportional Reasoning
Chapter 7. Decimals: Rational Numbers and Percents
7.1 Introduction to Finite Decimals
7.2 Operations on Decimals
7.3 Repeating Decimals (if time permits)
7.4 Percents and Interest (computing interest if time permits)
Chapter 8. Real Numbers and Algebraic Reasoning
8.1 Real Numbers (if time permits)
8.4 Functions (if time permits)