From: Learning progression toward a measurement concept of fractions
Part-whole | Understanding a rational number or fraction, m/n, as m equal parts taken out of n equal parts |
Quotient | Understanding a rational number or fraction, m/n, as dividing a quantity m into n equal parts |
Measurement | Understanding a rational number or fraction, m/n, as being m measures of the unit fraction, 1/n, or m iterations of 1/n |
Ratio | Understanding a rational number or fraction, m/n, as a relationship between the two quantities m and n, where either m + n = whole (part-part relationship) or n = whole (part-whole relationship, see part-whole subconstruct) |
Operator | Understanding a rational number or fraction, m/n, as a function that multiplicatively maps a given quantity to another quantity, i.e., it operates on the given quantity |