
Number & Operations:
The Magnitude of Fractions
In Numbers & Operations: The Magnitude of Fractions, we expand the concept of fractions.
Students already understand fractions as parts of a whole. By comparing
fractions, students come to understand them as something more—numbers
that have magnitude. This is the central goal of the lesson.
Participants in this course:
 Examine the
understanding of fractions both as parts of a whole and as quantities
in their own right.
 Explore
research into how students learn to understand fractions and learn
new meanings of fractions beyond "part/whole."
 See how using
manipulatives can either assist or impede efforts to understand
and represent fractions.
 Analyze
why manipulatives are sometimes illsuited to represent certain
meanings of fraction, such as fraction as a numerical quantity.
 See how students
can learn to compare the magnitude of a familiar fraction (such
as 1/4, 1/3, 1/2, 2/3, and 3/4) with other fractions that have
different denominators.
 Examine
how diagrams can help students understand fractions and build
students' capacity to solve problems.
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