As set out by the National Governors Association (NGA) and the Council of Chief State School Officers (CCSSO) in the Common Core State Standards Initiative. For more information, please visit the Counting and Cardinality domain at the Common Core State Standards website.
January 13, 2016
Counting is a complex task that is often taken for granted. As described in the Collaborative's book Big Ideas in Early Mathematics, there are two different types: rote counting and rational counting. While both are useful, "when young children develop rational counting skills they are armed with a tool that enables them to understand the concept of numerosity, to compare quantities of different sets, and eventually to engage in operations."
A student counts backwards and forwards on a number line with hidden digits.
A student organizes rocks into different groups based on their unique characteristics.
A kindergarten student organizes a collection of rocks into unique sets. Simple questions can result in explorations in core math concepts such as grouping. In this case, some very unusual groups are created.
A child makes different groups out of a collection of keys.
Children sort and re-sort each other, based on various attributes. This activity involves an open sort in which the categories can include a wide range of attributes that must be identified and described by the…
A child compares two small sets of wooden cubes.
A child selects a card with a given number of dots.
A child produces a small set of counters to match a shown quantity.
A student approximates the number of cubes in collections of increasing quantity.