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:
This is the first of two math courses providing a background for teaching in the elementary school. It emphasizes the use of mathematics manipulatives for modeling the basic operations. Topics will include addition, subtraction, multiplication and division of whole numbers, number theory related to fractions, fractions, decimals, and integers.
5. Placement Tests Required:
6. Prerequisite Courses:
MATH 1510  Math for Elementary Teachers I
There are no prerequisites for this course.
8. Prerequisite (Entry) Skills:
Fundamental algebra background and familiarity with a calculator.
9. Corequisite Courses:
MATH 1510  Math for Elementary Teachers I
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution 
Course Number and Title 
Credits 
Ridgewater College 
MATH 210: Introduction to Modern Mathematics I 
3 
Bemidji State University 
MATH 1011: Math for Elem School Teachers I 
3 
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. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Assess alternative solutions to a problem 
Apply higherorder problemsolving and/or modeling strategies 
Analyze and follow a sequence of operations 
Explain what constitutes a valid mathematical argument 
Apply abstract ideas to concrete situations 
Clearly express mathematical/logical ideas in writing 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome 
MnTC Goal Area 
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 nontechnological tools with mathematics. 

V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Mathematical Processes
 Communicating Mathematically
 Reasoning Mathematically
 Mathematics for Problem Solving
 Sets and WholeNumber Operations
 Sets and Whole Numbers
 Addition and Subtraction of Whole Numbers
 Multiplication and Division of Whole Numbers
 Numeration
 Estimation and Computation
 Strategies and Procedures for Mental Computation
 Strategies and Procedures for Estimation
 Algorithms for Addition and Subtraction
 Algorithms for Multiplication and Division
 Number Theory
 Factors and Divisibility
 Prime and Composite Numbers
 Understanding Integer Operations and Properties
 Addition, Subtraction, and Order Properties of Integers
 Multiplication, Division, and Other Properties of Integers
 Rational Number Operations and Properties
 Rational Number Ideas and Symbols
 Adding and Subtracting Fractions
 Multiplying and Dividing Fractions
 Operations with Decimals
 Comparing, Ordering, and Connecting Rational Numbers
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:
This is the first of two math courses providing a background for teaching in the elementary school. It emphasizes the use of mathematics manipulatives for modeling the basic operations. Topics will include addition, subtraction, multiplication and division of whole numbers, number theory related to fractions, fractions, decimals, and integers.
5. Placement Tests Required:
6. Prerequisite Courses:
MATH 1510  Math for Elementary Teachers I
There are no prerequisites for this course.
8. Prerequisite (Entry) Skills:
Fundamental algebra background and familiarity with a calculator.
9. Corequisite Courses:
MATH 1510  Math for Elementary Teachers I
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution 
Course Number and Title 
Credits 
Ridgewater College 
MATH 210: Introduction to Modern Mathematics I 
3 
Bemidji State University 
MATH 1011: Math for Elem School Teachers I 
3 
III. Course Purpose
3. Other  If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
Liberal Arts Elective
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Explain what constitutes a valid mathematical argument 
Apply abstract ideas to concrete situations 
Clearly express mathematical/logical ideas in writing 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome 
MnTC Goal Area 
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 nontechnological tools with mathematics. 

V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Mathematical Processes
 Communicating Mathematically
 Reasoning Mathematically
 Mathematics for Problem Solving
 Sets and WholeNumber Operations
 Sets and Whole Numbers
 Addition and Subtraction of Whole Numbers
 Multiplication and Division of Whole Numbers
 Numeration
 Estimation and Computation
 Strategies and Procedures for Mental Computation
 Strategies and Procedures for Estimation
 Algorithms for Addition and Subtraction
 Algorithms for Multiplication and Division
 Number Theory
 Factors and Divisibility
 Prime and Composite Numbers
 Understanding Integer Operations and Properties
 Addition, Subtraction, and Order Properties of Integers
 Multiplication, Division, and Other Properties of Integers
 Rational Number Operations and Properties
 Rational Number Ideas and Symbols
 Adding and Subtracting Fractions
 Multiplying and Dividing Fractions
 Operations with Decimals
 Comparing, Ordering, and Connecting Rational Numbers