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The three major categories of fraction models are the area model, linear model, and set model. Evidence suggests that providing opportunities for students to work with all three models plays a crucial role in developing a conceptual understanding of fractions.
Using the measure model for fractions supports understanding of several important aspects of fractions. Thinking of a fraction as a number is a critical component of developing a sense of the size of a fraction in relation to other fractions.
3 cze 2022 · In a mixed methods study, we investigated practising primary teachers’ personal preferences when solving fraction tasks with different types of models, and also their purposes for using particular models and manipulatives for teaching fraction ideas relevant to their curriculum context.
Write fractions that represent portions of objects; Identify the numerator and the denominator of a fraction; Use fraction circles to make wholes given; Use models to visualize improper fractions and mixed numbers.
11 maj 2021 · Four different types of fractions can be identified: a unit fraction (e.g., \(\frac{1}{2}\)), a proper fraction (e.g., \(\frac{2}{5}\)), an improper fraction (e.g., \(\frac{7}{4}\)), and a mixed fraction (e.g., \(2\frac{1}{3}\) but not \(2\frac{5}{3}\)). How can one turn a mixed fraction into an improper fraction?
3 cze 2022 · When teaching fractions, teachers make instructional decisions about if, when, and how to use the many different types of fraction models and manipulatives.
The 'fraction as a measure' idea is best demonstrated using a linear model. The measure model supports the understanding that a fraction is a number, with a position on a number line.