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Slide 11 of 25
Researchers note that number sense develops gradually, and varies as a result of exploring numbers, visualizing them in a variety of contexts, and relating them in ways that are not limited by traditional algorithms (Howden, 1989).
Representing fractions in a variety of ways helps students see relationships and develop understanding of later fraction concepts. It is important that students "see" a variety of concrete examples in addition to pictorial representations (Illuminations).