Article: Preservice teachers' number sense.

Many calls for reform in school mathematics emphasize number sense (Australian Education Council, 1991; Cockroft, 1982; Japanese Ministry of Education, 1989; National Council of Teachers of Mathematics, 1989; 2000; Swedish Ministry of Education and Science, 1994). But what is number sense? According to Case (1998), "Number sense is difficult to define, but easy to recognize. Students with good number sense can move seamlessly between the real world of quantities and the mathematical world of numbers and numerical expressions. They can invent their own procedures ... represent the same number in multiple ways.... recognize benchmark numbers and number patterns.... and gross ...

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