MATH 1280 - Mathematics for Education 1

Credit Hours: 4.00

Objectives:

1. Demonstrate knowledge of mathematical relationships.
2. Use various problem-solving strategies.

Outcome 2: Upon completion of this course, the student will be able to demonstrate working knowledge of sets.

Objectives:

1. Use the vocabulary, symbols, and language of sets.
2. Demonstrate knowledge of union, intersection, and complements.
3. Use the Cartesian product.
4. Use Venn diagrams as a problem-solving tool.

Outcome 3: Upon completion of this course, the student will be able to demonstrate working knowledge of logic.

Objectives:

1. Use truth tables.
2. Use Euler circles.
3. Use the converse of a statement.
4. Use the vocabulary of logic inductive and deductive reasoning.
5. Use logic, inductive and deductive reasoning to problem solve.

Outcome 4: Upon completion of this course, the student will be able to demonstrate working knowledge of numerations systems.

Objectives:

1. Demonstrate knowledge of historic numeration systems.
2. Use numbers in decimal and non-decimal bases.
3. Explain the uses of the various types of calculations as problem-solving tools.
4. Explain the uses of the various types of calculators.
5. Use a scientific calculator as a problem-solving tool.

Outcome 5: Upon completion of this course, the student will be able to demonstrate working knowledge of number theory

Objectives:

1. Use the vocabulary of number theory.
2. Use number theory as a problem-solving tool.

Outcome 6: Upon completion of this course, the student will be able to demonstrate working knowledge of extensions of the number system.

Objectives:

1. Demonstrate a working knowledge of operations with integers, rational numbers and real numbers
2. Represent fractions, decimals, and fractional operations pictorially.
3. Use ratio, percent, and scientific notation.
4. Use real numbers to problem solve.

• Communication: The graduate can communicate effectively for the intended purpose and audience.
• Critical Thinking: The graduate can make informed decisions after analyzing information or evidence related to the issue.
• Global Literacy: The graduate can analyze human behavior or experiences through cultural, social, political, or economic perspectives.
• Information Literacy: The graduate can responsibly use information gathered from a variety of formats in order to complete a task.
• Quantitative Reasoning: The graduate can apply quantitative methods or evidence to solve problems or make judgments.
• Scientific Literacy: The graduate can produce or interpret scientific information presented in a variety of formats.

1. Problem Solving
   1. An introduction to problem solving
   2. Problem solving strategies
   3. Practice using problem-solving strategies
2. An introduction to sets
   1. Vocabulary, set notation, and symbols
   2. Set union, intersection, and complements
   3. The Cartesian product
   4. Venn diagrams
   5. Problems solving using sets
3. Relations and functions
   1. Is a set of ordered pairs a function?
   2. Various methods of expressing a function
   3. Types of functions
      1. Linear functions
      2. Discrete and continuous functions
      3. Break-even points
      4. Other types of functions
   4. Problem solving using functions
4. An introduction to logic
   1. Truth tables
   2. Euler circles
   3. The converse of a statement
   4. Deductive and inductive reasoning
   5. Problem solving using logic
5. Numeration Systems
   1. Numeration systems and place value
      1. Historic numeration systems
      2. Base ten
      3. Bases other than ten
      4. Regrouping
      5. Expanded base ten notation
      6. Pictorial representation of base ten numbers
   2. Addition and subtraction
   3. Multiplication and division
   4. Estimation and rounding
   5. Technology
      1. Various types of calculators
         1. Serial Logic
         2. Scientific calculators
         3. Graphic calculators
      2. Symbolic logic calculators
   6. Problem solving using whole numbers
6. An Introduction to Number Theory
   1. Tests for divisibility in base ten
   2. Prime and composite numbers
   3. Highest common factor and lowest common multiple
   4. Problem solving using number theory
7. Extensions of the Number System
   1. Operations with integers, rational numbers, and real numbers
   2. Pictorial representation of fractions and decimals
   3. Pictorial representation of fractional operations
   4. Ratio, percent, and scientific notation
   5. Problem solving using real numbers