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A Fraction-Algebra Sandwich

Peck and Matassa (2016) recently published a research paper that reinforced why fraction division and multiplication is such an important topic for children to master. We often hear that understanding fractions is a gateway to learning algebra, and these authors offered some pretty compelling reasons why that’s the case. Before we get to the study, […]

Analogies in Teaching Fractions: Lessons from Hong Kong and Japan

In Newton’s Nemesis, I wanted to provide a nice variety of visual and mental images of division with both whole numbers and fractions.  The idea was to help children connect how operations have the same underlying meaning. When children connect the structural elements of whole number division and fraction division, they are reasoning by creating […]