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A second grader has a partial understanding of counting in equal groups.
Focus on the Child videos are taken from one-on-one interviews with individual children. The interviews are designed to elicit evidence of children’s mathematical thinking. They are not teaching episodes or formal assessments.
BIG IDEA: Counting has rules that apply to any collection.
Thanks to TV shows like Sesame Street, many children enter preschool chanting or singing the number names from 1 to 20. Learning to count meaningfully requires both memorizing arbitrary terms or number names (rote counting) and rule-governed counting (rational counting). Rote recitation of the number words is not the same as having a good number sense for what 20, 25, or 100 means.
© Erikson Institute’s Early Math Collaborative. Reprinted from Big Ideas of Early Mathematics: What Teachers of Young Children Need to Know (2014), Pearson Education.