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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 ill-suited 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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