Understanding Fractions: Meanings, Models, and Applications
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5 Meanings of Fractions
Part-Whole
It goes well beyond shading a region. The circle model is particularly effective in illustrating the part-whole relationship. Focus: How many parts.
Measurement
It involves identifying a length and then using that length as a measurement piece to determine the length of an object. Focus: How much rather than how many parts.
Division
This is often not connected to fractions, which is unfortunate. Consider the idea of sharing $10 with 4 people; each person will receive 1/4 of the money or $2.50.
Operator
Fractions can be used to indicate an operation, as in 4/5 of 20 squares. This situation indicates a fraction of a whole number, and students might be able to use mental math to solve it. Knowing how to represent fractions... Continue reading "Understanding Fractions: Meanings, Models, and Applications" »