I. General Information

1. Course Title:
Math for Elementary Teachers I

2. Course Prefix & Number:
MATH 1510

3. Course Credits and Contact Hours:

Credits: 3

Lecture Hours: 3

Lab Hours: 0

4. Course Description:

5. Placement Tests Required:

6. Prerequisite Courses:

8. Prerequisite (Entry) Skills:
Fundamental algebra background and familiarity with a calculator.

9. Co-requisite Courses:

II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

Ridgewater College, MATH 210: Introduction to Modern Mathematics I, 3 credits
Bemidji State University, MATH 1011: Math for Elem School Teachers I, 3 credits

III. Course Purpose

Other - If this course is not required in a program or is not part of the MN Transfer Curriculum, it may be used for the purpose(s) listed below:
Liberal Arts Elective

IV. Learning Outcomes

1. College-Wide Outcomes

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of the course:

• Identify and justify observed patterns.
• Generate patterns to demonstrate a variety of relationships.
• Be able to relate patterns in one strand of mathematics to patterns across the discipline.
• Demonstrate an understanding of number sense and be able to use numbers to quantify concepts in the students’ world.
• Demonstrate an understanding of a variety of computational procedures and how to use them in examining the reasonableness of the students’ answers.
• Demonstrate an understanding of the concepts of number theory including divisibility, factors, multiples, and prime numbers, and know how to provide a basis for exploring number relationships.
• Demonstrate an understanding of the relationships of integers and their properties that can be explored and generalized to other mathematical domains.
• Demonstrate an understanding of how to reason mathematically, solve problems, and communicate mathematics effectively at different levels of formality.
• Demonstrate an understanding of the connections between mathematical concepts and procedures, as well as their application to the real world.
• Demonstrate an understanding of the relationship between mathematics and other fields.
• Demonstrate an understanding of and apply problem solving, reasoning, communication, and connections.
• Demonstrate an understanding of how to integrate technological and non-technological tools with mathematics.

V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

1. Mathematical Processes
• Communicating Mathematically
• Reasoning Mathematically
• Mathematics for Problem Solving
2. Sets and Whole-Number Operations
• Sets and Whole Numbers
• Addition and Subtraction of Whole Numbers
• Multiplication and Division of Whole Numbers
• Numeration
3. Estimation and Computation
• Strategies and Procedures for Mental Computation
• Strategies and Procedures for Estimation
• Algorithms for Addition and Subtraction
• Algorithms for Multiplication and Division
4. Number Theory
• Factors and Divisibility
• Prime and Composite Numbers
5. Understanding Integer Operations and Properties
• Addition, Subtraction, and Order Properties of Integers
• Counter Method of Addition
• Charged-Field Method of Addition
• Properties of Integer Addition
• Absolute Value
• Multiplication, Division, and Other Properties of Integers
• Counter Method of Multiplication
• Charged-Field Method of Multiplication
• Number-Line Method of Multiplication
• Properties of Integer Multiplication
6. Rational Number Operations and Properties
• Rational Number Ideas and Symbols
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Operations with Decimals
• Addition and Subtracting Decimals
• Multiplying and Dividing Decimals
• Comparing, Ordering, and Connecting Rational Numbers