Understanding Number Concepts

This course is intended for teachers with the purpose of expanding teachers' own understanding of number concepts K-8, outlined in Common Core State Standards for Mathematics. In order to fully understand the implications for teaching number concepts in grades K-8, it is essential that all teachers have a firm grounding in how those concepts develop in grades both before and after the actual grade they teach. Class participants will find content from across all grade levels. Topics covered in this class will include:
  • Number relationships and place value
  • Base 10 number system
  • Whole-number computation using mathematical properties
  • Different meanings of multiplication and division and integers and operations with integers

Focus questions for the course:
What are the big ideas and whole number concepts that teachers need to know and understand in order to effectively teach these concepts to their students (the mathematical knowledge needed specifically for teaching)?

Video Links

Number Systems Used in Elementary and Middle School
Video: Understanding Digits and Their Place Value
One Trillion Dollars
Why do Two Negatives Multiply to Get a Positive?
What Does a Trillion Look Like?
How Much Water Fell in South Carolina


Nix the Tricks (download)
How to Learn Math: For Students (Stanford Class)

Negative Numbers on Elevators

Real Number Diagrams



Day 1 Evaluation