MAT 146 - Mathematics for Elementary Teachers I

3 Credits, 3 Contact Hours
3 lecture periods 0 lab periods

An overview of mathematical concepts, principles and applications specifically for elementary teachers. Includes real number properties and patterns, arithmetic operations and algorithms in subsets of real numbers, alternative numbers systems, set theory, and algebraic reasoning and problem solving. Also includes the technology to teach mathematics.

Prerequisite(s): Within the last three years: MAT 142, MAT 151, or higher with a grade of C or better, or mathematics assessment test into MAT 167 or higher.
Information: It is not recommended that students enroll concurrently in MAT 146 and MAT 147. Access to a scanner required for math classes taken online.

Course Learning Outcomes

Apply number properties, analyze number patterns to solve problems, and identify numbers as natural, whole, integer, prime, composite, rational, and irrational.
Use appropriate arithmetic operations to solve problems with integers and rational numbers, and explain the algorithms used.
Solve problems using number bases other than base 10.
Describe and use set operations and Venn Diagrams.
Use different strategies to solve problems using algebraic reasoning moving from concrete models or verbal descriptions to symbolic descriptions.

Outline:

Real Number Properties and Patterns
1. Whole numbers
2. Integers
3. Rational numbers
4. Irrational numbers
5. Number theory
  1. Primes versus composite
  2. Factors and multiples
  3. Divisibility
6. Teaching tools and resources
  1. Identifying and utilizing teaching resources
  2. World Wide Web, national organizations
  3. Classroom presentation
  4. Software programs, math games
  5. Manipulatives
  6. Structured and guided practice
Arithmetic Operations and Algorithms in Subsets of Real Numbers
1. Conceptual understandings
  1. Interconnectedness
  2. Underlying structure
2. Algorithms
  1. Traditional
  2. Nontraditional
3. Teaching tools and resources
  1. Identifying and utilizing teaching resources
  2. World Wide Web, national organizations
  3. Classroom presentation
  4. Software programs, math games
  5. Manipulatives
  6. Structured and guided practice
Alternative Number Systems
1. Binary
2. Octal
3. Hexadecimal
4. Teaching tools and resource
  1. Identifying and utilizing teaching resources
  2. World Wide Web, national organizations
  3. Classroom presentation
  4. Software programs, math games
  5. Manipulatives
  6. Structured and guided practice
Set Theory
1. Set operations
2. Venn Diagrams
3. Teaching tools and resources
  1. Identifying and utilizing teaching resources
  2. World Wide Web, national organizations
  3. Classroom presentation
  4. Software programs, math games
  5. Manipulatives
  6. Structured and guided practice
Algebraic Reasoning and Problem Solving
1. Problem solving strategies
  1. Trial and error
  2. Organizing data (charts, tables, graphs)
  3. Patterns
  4. Systematic elimination of alternatives
  5. Modeling
2. Algebraic reasoning
  1. Verbal descriptions
  2. Symbolic descriptions
  3. Concrete models
3. Teaching tools and resources
  1. Identifying and utilizing teaching resources
  2. World Wide Web, national organizations
  3. Classroom presentation
  4. Software programs, math games
  5. Manipulatives
  6. Structured and guided practice

Effective Term:
Spring 2021