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Digits in a number may carry different values depending on their positions in the number. This is called place-value concept. This study developed a novel task to tap children's place-value concept through their conception of quantities, which was in turn reflected by their counting strategies. A group of preschoolers and first-graders was clustered into three levels of place-value understanding based on their counting strategies. Children with the lowest level of place-value understanding always counted from one or counted erroneously, whereas those with the highest level of understanding counted by grouping in tens. Children with poor place-value understanding also performed poorly in various numerical tasks. Implications for assessing children's place-value understanding were discussed.