MATH 1901
Principles of Mathematics for Teachers

3.0 Credits


This course is primarily for students who wish to enter an Elementary Teaching program. The course emphasizes conceptual understanding of elementary mathematical methods and ideas. Topics include numbers, operations, proportional reasoning, number theory, algebra, geometry, measurement, data analysis, and probability.

Delivery Method

Online, Paced


Principles and Foundations of MATH 11, Pre-Calculus 11 or MATH 0523 or equivalent skills is strongly recommended.


MATH 1900


  • Explain how and why particular mathematical processes work
  • Identify, create and use mathematical representations to model and interpret ideas and concepts and solve problems
  • Identify errors and misconceptions in calculations and reasoning
  • Develop and demonstrate critical thinking skills and assess arguments for rigour and reasonableness
  • Use deductive, inductive, and heuristic reasoning to explain solution processes
  • Find and explain connections between various mathematical topics and between mathematics and other application areas
  • Develop and demonstrate mathematical common sense through mental calculation, estimation, and number sense
  • Use mathematical language, notation, and terminology correctly and consistently
  • Develop, identify, and provide solutions for problems involving various types of models and operations
  • Carry out basic mathematical procedures to show how mathematics works
  • Describe how mathematics is used to solve problems in science and daily life
  • Become a more confident and independent problem solver
  • Explain mathematical operations and concepts using a variety of models and methods
  • Appreciate mathematics as an essential tool for understanding and enhancing the human experience and demonstrate a willingness to tackle challenging problems
  • Describe ways in which mathematical notation and vocabulary make communication easier
  • Appreciate the role of discussion in learning mathematics
  • Demonstrate an ability to work collaboratively and to objectively assess peer work

Course Outline

Module 1: Number and Operations

  • Lesson 1: Numbers and the decimal system
  • Lesson 2: Introduction to fractions and problem solving
  • Lesson 3: Addition and subtraction
  • Lesson 4: Multiplication
  • Lesson 5: Division
  • Lesson 6: Proportional reasoning
  • Lesson 7: Number theory

Module 2: Algebra

  • Lesson 8: Expressions, formulas, and equations
  • Lesson 9: Sequences, series, and functions

Module 3: Geometry and Measurement

  • Lesson 10: Basic concepts of geometry
  • Lesson 11: Measurement
  • Lesson 12: Perimeter and area
  • Lesson 13: Surface area and volume
  • Lesson 14: Geometry of motion and change

Module 4: Data Analysis and Probability

  • Lesson 15: Data analysis and probability
  • Lesson 16: Course Review

Maximum Completion

20 weeks.

Required Text and Materials

Beckmann, S. Mathematics for Elementary Teachers with Activities Plus MyMathLab Access Card Package. 5th edition. 2018.
Type: Textbook. ISBN: 9780134754208

Open Learning Faculty Member Information

An Open Learning Faculty Member is available to assist students. Primary communication is through the Learning Environment's "Mail" tool or by phone. Students will receive the necessary contact information when you start your course.


To successfully complete this course, students must achieve a passing grade of 50% or higher on the course overall and 50% or higher on the final mandatory exam.

Quizzes 15%
Online Activities 15%
Written Assignment 1 5%
Written Assignment 2 3%
Written Assignment 3 4%
Written Assignment 4 3%
Mid Term 15%
Final Exam * 40%
Total 100%

* Mandatory