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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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Course Listing

Effective Questioning in the Mathematics Classroom

Foundations of Effective
Mathematics Teaching


Formative Assessment in the Mathematics Classroom

Number & Operations:
Division with Remainders


Number & Operations:
The Magnitude of Fractions


Number & Operations:
Broken Calculator


Geometry:
2D and 3D Figures


Geometry:
Calculating Area of a Triangle


Data Analysis and Probability:
Using Data to Make Predictions


Data Analysis and Probability:
Measures of Center


Pre-Algebra:
Pan Balance Equations


Pre-Algebra:
Patterns and Functions



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