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.
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, 13th 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: 9780135190050
Hardbound text (optional), ISBN: 9780135183885
Hardbound text + free MyMathLab access, ISBN: 9780135261682
Calculators may be required for some assignments/assessments at the discrection of the Instructor. Refer to class syllabus for details.
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 of Whole Numbers
3.3 Subtraction of Whole Numbers
3.4 Multiplication of Whole Numbers (introduce Cartesian product from Sect. 2.3)
3.5 Division of Whole Numbers
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