Recently, I published a series of posts describing the various strategies students can use for comparing fractions. While creating a common denominator is one of the strategies, it is often not necessary. For example, consider this pair of fractions: Do you really...

“Learning to compare and order fractions is important to developing an understanding of fractions.” Marilyn Burns (About Teaching Mathematics, 2015, p 430) “Helping students develop their ‘fraction sense’ is extremely important before...

“Understanding why a fraction is close to 0, 1/2, or 1 is a good beginning for fraction number sense. It begins to focus on the size of fractions in an important yet simple manner.” (Van de Walle/ Lovin, 2006) In this series of blog posts, I am exploring 5...

Students should have flexible strategies for comparing fractions, and the strategies should be based on reasoning and fractions sense. In the first article of this series, we looked at comparing fractions with like numerators or denominators. You’ll also find...

What is the difference between teaching for knowledge and teaching for understanding? Isn’t that a great question? I just started reading the book Creating Cultures of Thinking, and author Ron Ritchhart tackles that issue head-on (pg 47). Understanding...