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Preschool like beginning kindergarten? Should be able to count to 21. Understand concepts like add and "take away," even if unable to perform, yet. Or preschool like 2 and three year olds? Should be learning to count. I recommend making it fun for them, though. Both of my young sons (aged 2 and 5) enjoy the DVD "Here Come the 123s" by They Might Be Giants. The 5 year old just started kindergarten, and he is already adding, a little bit of subtracting, and exploring the concept of infinity.

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