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Progression for Teaching Fractions
In this video, Graham Fletcher explains how students come to understand what fractions are and the order in which to teach these concepts to students.
Understanding the progression of how students understand fractions is important because it can help with interventions! If a student is struggling to work with fractions, teachers can provide tasks that move back down the progression until the student has success. From there, challenges can be provided that move the student along the progression. Watch the video to see these progressions.
p97 first steps in math fractions number-sense.pdfFirst Steps in Mathematics:
Diagnostic Map for Number and Fractions
As students’ thinking about the key mathematical concepts of Number develops, it goes through a series of characteristic phases that are described in this Diagnostic Map. Recognizing these common patterns of thinking helps teachers to interpret students’ responses to activities, to understand why students seem to be able to do some things and not others and also why some students may be having difficulty in achieving certain learning goals while others may not.
The Diagnostic Map also helps teachers to provide the challenges students need to move their thinking forward, to refine any half-formed ideas, and to overcome any misconceptions students may have, so they can achieve the mathematical learning goals of Number.
Chapter 3 focuses specifically on fractions.
Head back to the Fraction Specific page.
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